ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil...

80
ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM by Wilfrid A. Nixon and Robert Ettema Submitted to Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service, Washington, D.C. !!HR Limited Distribution Report No. Iowa Institute of Hydraulic Research The University of Iowa Iowa City, Iowa 52242-1585 December 1987

Transcript of ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil...

Page 1: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM

by

Wilfrid A Nixon and Robert Ettema

Submitted to

Hitachi Zosen Corporation Osaka Japan Mobil Research and Development Corporation Dallas Texas

Minerals Management Service Washington DC

HR Limited Distribution Report No

Iowa Institute of Hydraulic Research The University of Iowa

Iowa City Iowa 52242-1585

December 1987

TABLE OF CONTENTS

ABSTRACT bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull ACKNOWLEDGEMENTS LIST OF TABLES LIST OF FIGURES

I INTRODUCTION A Scope of the Study B Practical Aspects C Previous Work

I I EXPERIMENTAL PROCEDURE bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull A Test Facilities

1 HR ice towing tank 2 The test platform 3 Instrumentation 4 Calibration of transducers bullbullbullbullbullbullbullbullbullbullbullbullbull

B Model Ice c Preliminary Tests bull bullbullbullbullbull middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotbullmiddotmiddotmiddotbullbullmiddot D Test Procedures bullbullbullbullbullbullbullbullbullbullbullbullbullbull

III PRESENTATION OF RESULTS bullbullbullbull A Raw Data bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull bull bull bullbull B 11

Fixed11

Platform bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull c 11 Moored 11 Platform bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbull bullbullbullbull D Qualitative Data

VI DISCUSS ION A Observations

1 Modes of ice fracture 2 Platform motion bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull 3 Ice subduction

B Ice Thickness Effects c Ice Velocity Effects D Mooring Stiffness Effects E Dynamic Response

1 Moored platform dynamic response bullbullbullbullbullbull 2 Fixed platform dynamic response

v CONCLUSIONS bullbullbullbullbullbullbullbullbullbull REFERENCES TABLES bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull FIGURES middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotbullmiddotmiddotmiddotmiddotbullbullbullbullbullmiddotmiddotmiddotmiddotbullbullmiddotmiddotmiddotmiddotbullbullbullbullmiddotmiddotmiddotbullbullbullbullmiddotmiddotmiddotbullbullbullmiddot

ABSTRACT

Fourty-two tests of a model cable moored platform have been conducted in

IIHR ice towing tank facility In each test a sheet of urea doped ice with

thickness from 20-40mm and bending strength between 25 and 40kPa was driven

past the model platform The platform was tested in two modes Fixed in

which no deflection of the platform was allowed and moored in which the

platform could surge heave and pitch against restoring forces provided by

buoyancy (for heave and pitch) and a leaf spring (for surge)

The observed behavior indicated that for both moored and fixed platform

geometries the forces on the plataform increased with increasing ice thickshy

ness The fixed plataform experienced increasing forces as the ice impact

velocity increased but for the moored platform any such response was masked by

resonance effects The critical frequency in this regard was the breaking

frequency of the ice for the heave and pitch forces on the moored platform

However the surge force power spectrum was dominated by the natural frequency

of the platform

A most interesting result of the study is that the mooring forces on the

plataform appear to experience a minimum with respect to the stiffness of the

mooring system Such a result has obvious practical implications and will be

investigated further

i i

ACKNOWLEDGEMENTS

The authors wish to thank Dr M Matsuishi of Hitachi Zosen Corporation

Dr R Johnson of Mobil Research and Development Corporation and Mr C Smith

of US Minerals Management Service for their guidance in conduct of this

project Additionally the authors wish to thank Mr s Iwata of Hitachi

Zosen Corporation for assisting in conduct of the experiment

i i i

LIST OF FIGURES

Figure

l Conical Platform Similar to 11Kulluk11 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 The Model Platform

3 IIHR Ice Towing Tank Layout bullbullbullbullbullbullbullbullbullbullbullbull

4 Towing Tank Carriage

5 Detailed Drawing of Model Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Instrumentation of Moored Platform

7 Details of Mooring Harness bullbullbullbullbull bullbull bull bullbull

8 Details of the Sway and Yaw Restraining Device bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

9 Yne Platform Showing Sway and Yaw Restraint bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

10 Instrumentation of Fixed Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

11 Locations of Measurements and Positive Directions bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

12 Relationships Between Model and Prototype Ice Impact Speed bullbullbullbullbullbullbullbullbullbullbullbullbullbull

13 Relationships Between Model and Prototype Forces bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 20mm) Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 40rnm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

18 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

19 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

20 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 40mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

21 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

ii

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 2: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

TABLE OF CONTENTS

ABSTRACT bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull ACKNOWLEDGEMENTS LIST OF TABLES LIST OF FIGURES

I INTRODUCTION A Scope of the Study B Practical Aspects C Previous Work

I I EXPERIMENTAL PROCEDURE bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull A Test Facilities

1 HR ice towing tank 2 The test platform 3 Instrumentation 4 Calibration of transducers bullbullbullbullbullbullbullbullbullbullbullbullbull

B Model Ice c Preliminary Tests bull bullbullbullbullbull middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotbullmiddotmiddotmiddotbullbullmiddot D Test Procedures bullbullbullbullbullbullbullbullbullbullbullbullbullbull

III PRESENTATION OF RESULTS bullbullbullbull A Raw Data bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull bull bull bullbull B 11

Fixed11

Platform bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull c 11 Moored 11 Platform bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbull bullbullbullbullbullbull bullbullbullbull D Qualitative Data

VI DISCUSS ION A Observations

1 Modes of ice fracture 2 Platform motion bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull 3 Ice subduction

B Ice Thickness Effects c Ice Velocity Effects D Mooring Stiffness Effects E Dynamic Response

1 Moored platform dynamic response bullbullbullbullbullbull 2 Fixed platform dynamic response

v CONCLUSIONS bullbullbullbullbullbullbullbullbullbull REFERENCES TABLES bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull FIGURES middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotbullmiddotmiddotmiddotmiddotbullbullbullbullbullmiddotmiddotmiddotmiddotbullbullmiddotmiddotmiddotmiddotbullbullbullbullmiddotmiddotmiddotbullbullbullbullmiddotmiddotmiddotbullbullbullmiddot

ABSTRACT

Fourty-two tests of a model cable moored platform have been conducted in

IIHR ice towing tank facility In each test a sheet of urea doped ice with

thickness from 20-40mm and bending strength between 25 and 40kPa was driven

past the model platform The platform was tested in two modes Fixed in

which no deflection of the platform was allowed and moored in which the

platform could surge heave and pitch against restoring forces provided by

buoyancy (for heave and pitch) and a leaf spring (for surge)

The observed behavior indicated that for both moored and fixed platform

geometries the forces on the plataform increased with increasing ice thickshy

ness The fixed plataform experienced increasing forces as the ice impact

velocity increased but for the moored platform any such response was masked by

resonance effects The critical frequency in this regard was the breaking

frequency of the ice for the heave and pitch forces on the moored platform

However the surge force power spectrum was dominated by the natural frequency

of the platform

A most interesting result of the study is that the mooring forces on the

plataform appear to experience a minimum with respect to the stiffness of the

mooring system Such a result has obvious practical implications and will be

investigated further

i i

ACKNOWLEDGEMENTS

The authors wish to thank Dr M Matsuishi of Hitachi Zosen Corporation

Dr R Johnson of Mobil Research and Development Corporation and Mr C Smith

of US Minerals Management Service for their guidance in conduct of this

project Additionally the authors wish to thank Mr s Iwata of Hitachi

Zosen Corporation for assisting in conduct of the experiment

i i i

LIST OF FIGURES

Figure

l Conical Platform Similar to 11Kulluk11 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 The Model Platform

3 IIHR Ice Towing Tank Layout bullbullbullbullbullbullbullbullbullbullbullbull

4 Towing Tank Carriage

5 Detailed Drawing of Model Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Instrumentation of Moored Platform

7 Details of Mooring Harness bullbullbullbullbull bullbull bull bullbull

8 Details of the Sway and Yaw Restraining Device bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

9 Yne Platform Showing Sway and Yaw Restraint bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

10 Instrumentation of Fixed Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

11 Locations of Measurements and Positive Directions bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

12 Relationships Between Model and Prototype Ice Impact Speed bullbullbullbullbullbullbullbullbullbullbullbullbullbull

13 Relationships Between Model and Prototype Forces bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 20mm) Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 40rnm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

18 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

19 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

20 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 40mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

21 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

ii

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 3: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

ABSTRACT

Fourty-two tests of a model cable moored platform have been conducted in

IIHR ice towing tank facility In each test a sheet of urea doped ice with

thickness from 20-40mm and bending strength between 25 and 40kPa was driven

past the model platform The platform was tested in two modes Fixed in

which no deflection of the platform was allowed and moored in which the

platform could surge heave and pitch against restoring forces provided by

buoyancy (for heave and pitch) and a leaf spring (for surge)

The observed behavior indicated that for both moored and fixed platform

geometries the forces on the plataform increased with increasing ice thickshy

ness The fixed plataform experienced increasing forces as the ice impact

velocity increased but for the moored platform any such response was masked by

resonance effects The critical frequency in this regard was the breaking

frequency of the ice for the heave and pitch forces on the moored platform

However the surge force power spectrum was dominated by the natural frequency

of the platform

A most interesting result of the study is that the mooring forces on the

plataform appear to experience a minimum with respect to the stiffness of the

mooring system Such a result has obvious practical implications and will be

investigated further

i i

ACKNOWLEDGEMENTS

The authors wish to thank Dr M Matsuishi of Hitachi Zosen Corporation

Dr R Johnson of Mobil Research and Development Corporation and Mr C Smith

of US Minerals Management Service for their guidance in conduct of this

project Additionally the authors wish to thank Mr s Iwata of Hitachi

Zosen Corporation for assisting in conduct of the experiment

i i i

LIST OF FIGURES

Figure

l Conical Platform Similar to 11Kulluk11 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 The Model Platform

3 IIHR Ice Towing Tank Layout bullbullbullbullbullbullbullbullbullbullbullbull

4 Towing Tank Carriage

5 Detailed Drawing of Model Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Instrumentation of Moored Platform

7 Details of Mooring Harness bullbullbullbullbull bullbull bull bullbull

8 Details of the Sway and Yaw Restraining Device bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

9 Yne Platform Showing Sway and Yaw Restraint bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

10 Instrumentation of Fixed Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

11 Locations of Measurements and Positive Directions bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

12 Relationships Between Model and Prototype Ice Impact Speed bullbullbullbullbullbullbullbullbullbullbullbullbullbull

13 Relationships Between Model and Prototype Forces bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 20mm) Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 40rnm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

18 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

19 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

20 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 40mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

21 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

ii

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 4: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

ACKNOWLEDGEMENTS

The authors wish to thank Dr M Matsuishi of Hitachi Zosen Corporation

Dr R Johnson of Mobil Research and Development Corporation and Mr C Smith

of US Minerals Management Service for their guidance in conduct of this

project Additionally the authors wish to thank Mr s Iwata of Hitachi

Zosen Corporation for assisting in conduct of the experiment

i i i

LIST OF FIGURES

Figure

l Conical Platform Similar to 11Kulluk11 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 The Model Platform

3 IIHR Ice Towing Tank Layout bullbullbullbullbullbullbullbullbullbullbullbull

4 Towing Tank Carriage

5 Detailed Drawing of Model Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Instrumentation of Moored Platform

7 Details of Mooring Harness bullbullbullbullbull bullbull bull bullbull

8 Details of the Sway and Yaw Restraining Device bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

9 Yne Platform Showing Sway and Yaw Restraint bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

10 Instrumentation of Fixed Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

11 Locations of Measurements and Positive Directions bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

12 Relationships Between Model and Prototype Ice Impact Speed bullbullbullbullbullbullbullbullbullbullbullbullbullbull

13 Relationships Between Model and Prototype Forces bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 20mm) Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 40rnm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

18 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

19 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

20 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 40mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

21 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

ii

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 5: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

LIST OF FIGURES

Figure

l Conical Platform Similar to 11Kulluk11 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 The Model Platform

3 IIHR Ice Towing Tank Layout bullbullbullbullbullbullbullbullbullbullbullbull

4 Towing Tank Carriage

5 Detailed Drawing of Model Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Instrumentation of Moored Platform

7 Details of Mooring Harness bullbullbullbullbull bullbull bull bullbull

8 Details of the Sway and Yaw Restraining Device bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

9 Yne Platform Showing Sway and Yaw Restraint bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

10 Instrumentation of Fixed Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

11 Locations of Measurements and Positive Directions bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

12 Relationships Between Model and Prototype Ice Impact Speed bullbullbullbullbullbullbullbullbullbullbullbullbullbull

13 Relationships Between Model and Prototype Forces bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 20mm) Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 40rnm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

18 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

19 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

20 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 40mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

21 Fixed Platform Vertical Force vs Ice Velocity

Thickness= 30mm Strength= 40kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 20mm Strength= 25kPabullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

ii

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 6: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness= 30mm Strength= 40kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

26 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

27 Forces and Moments vs Ice Thickness Velocity= 002ms

Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

28 Forces and Moments vs Ice Thickness Velocity = 002ms

Strength = 25kPa

29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa ~

31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

32 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength= 40kPa

33 Moored Platform Horizontal Force vs Ice Velocity

Thickness= 30mm Strength= 40kPa

34 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 002ms Strength= 25kPa

35 Moored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength = 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

36 Moored Platform Horizontal Force vs Ice Thickness

Velocity= 020ms Strength= 25kPa bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

37 Ice Trapped Underneath the Platform Shown after the Test bullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

38 Circumferential Ice Fracture Around Platformbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

39 Comparison of uSkirtsu for Model and Kullukbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

40 Depiction of Forces Acting on the Ice Sheet bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

41 Surge Force vs lK8 (Inverse of Mooring Stiffness)

42 Frequency Power Spectra for Fx and 6 test P301 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

43 Frequency Power Spectra for Fx and 6 test P302 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

iii

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 7: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

44 Frequency Power Spectra for Fx and e test P303 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

45 Frequency Power Spectra for Fx and e test P304 (moored) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

46 Frequency Power Spectrum for Fx test P301F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

47 Frequency Power Spectrum for Fx test P302F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

48 Frequency Power Spectrum for Fx test P303F (fixed) bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

49 Frequency Power Spectrum for Fx test P304F (fixed) bullbullbullbullbullbull

iv

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 8: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

LIST OF TABLES

Table Page

1 Principal Dimensions of the Test Platform and ttKulluk bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

2 Calibration Coefficients for Transducers bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

3 Ice Sheet Data

4 Natural Periods and Logarithmic Decrements of Moored Platform bullbullbullbullbullbullbullbullbullbullbull

5 Summary of Fixed Platform Results bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull

6 Summary of Moored Platform Results

7 Platform Dynamic Response

v

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 9: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

I INTRODUCTION

Drilling for oil in relatively deep ice-covered or ice-infested waters

poses a number of problems not least of which ls the provision of a stable

platform from which drilling activities can be conducted A cable-moored

platform of conical hull shape provides such stability and experience with

one platform 11Kulluk (see eg Hnatiuk and iJright 1984) in the Beaufort

Sea Figure I shows the hull shape and mooring configuration of a model

floating conical platform similar to 11Kulluk 11 This model was used in all

the experiments described herein

While nKulluk operated with success in the Beaufort Sea there remain to

be answered a number of concerns for the designers and operators of such

floating platforms Obviously of importance are the forces displacements and

accelerations (the dynamic response) of the platform as it encounters a vari shy

ety of different lee types (ice sheets ice floe fields rubble ice large

individual floes etc) Knowledge of the dynamic response envelope of a

platform will enable decisions regarding emergency movement of the platform

(due to unacceptable ice conditions) to be made more effectively avoiding

unnecessary downtime and also unsafe operations Another area of concern is

the problem caused by ice underriding the platform and potentially damaging

the drill string Indeed this latter event may be a more important factor in

determining safe operation than the ice forces Also of importance is the

effect of mooring system stiffness on the dynamic response of a platform

This may even allow some tuningu of platform dynamic response to be made

according to prevailing lee condition

A Scope of Study

The principle objectives of the study were to determine the effects of

mooring system stiffness ice sheet thickness ice sheet strength and ice

sheet velocities on the forces and motions (accelerations and displacements)

that a conical platform would encounter while amidst a large moving ice

sheet

To meet these objectives model tests were conducted at IIHRs ice towing

tank using a 15-meter-diameter (at the load waterline) test platform The

model platform shown in figure 2 was approximately a 145-scale replica of

I

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 10: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

the hull of the existing platform Kulluk However it did not exactly

replicate Kulluk as it was somewhat simpler in hull form and Kulluk sfl

mooring system was not simulated exactly

The ice sheets were grown and tempered to the required thicknesses and

strengths by means of tbe methods described below After tempering the

sheets were pushed against the platform by the tank carriage

The results obtained from tbe tests are compared with the performance

criteria for the cable mooring system of the platform degKulluk

B Practical Aspects

A cable-moored platform of the type shown ln figure 1 is obviously only

one of a number of design concepts under consideration for operation in ice

covered waters No single platform ls ideal for all Arctic drilling sites

and the most suitable platform type is determined by typically the water

depth and the ice conditions at the drilling sites Frederking (1984) reviews

the various platform concepts

Cable-moored platforms appear best suited to water depths between 20-60

meters Kulluk was designed to withstand ice floes of 1 to 1 Sm thickness

of annual ice In worse ice conditions it is to be towed from the drill

site Additional protection was to be provided by ice-breaking ships acting

as escort (Huatink and Wright 1984 Loh and Stamberg 1984)

C Previous Work

A detailed review of previous work both practical and theoretical

concerning ice forces against inclined planes and conical structures is given

by Matsuishi and Ettema (l 985a) The interested reader is referred to this

report

Relatively few tests have been performed on models of cable-moored strucshy

tures Frederklng and Schwarz (1982) conducted a series of tests investigatshy

ing the ice-breaking performance of a downward breaking cone For some tests

the cone was restrained from moving while in other tests it was allowed to

oscillate both vertically and horizontally The oscillating cone experienced

a horizontal force only two-thirds of that measured for the restrained cone

2

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 11: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

gt1atsuishi and Ettema (1985ab) conducted tests on the model platform used

in the present study to investigate the dynamic behavior of the platform when

impacted by floes of annual ice and when in a field of mushy ice They made

measurements both with the platform fixed and with it moored As in this

series of tests mooring system stiffness was modelled using a leaf spring

(see Section II below) Among the results they obtained were

I That mooring force platform mot ions and accelerations increased with

increasing floe diameter but asymptotically approached a constant value

when floe diameter exceeding platform waterline diameter

2 That mooring forces increased wlth increasing speed of ice floe impact

3 That when impacted by mushy ice the moored platform experienced a force 11 11that increased monotonically as a prow developed around the leading

edge of the platform Once the prow had reached an equilibrium size

the ice loads remained steady

4 In mushy ice the mooring forces were linearly proportional to the thickshy

ness of the ice rubble layer

It is intended that this study should build on the work of Matsuishi and

Ettema (1985ab)

II EXPERIMENTAL PROCEDURE

A Test Facilities

1 IIHRs ice towing tank

All experiments were conducted using IIHRs ice towing tank which is 20m

long Sm wide and 13m deep Figure 3 shows the layout of the tank and cold

room within which it is housed Depending on the external ambient tempershy

ature the cold room has a cooling capacity between 15 and 20kw allowing an

ice sheet to grow at a rate of 15 to 20mm per hour

A motorized carriage (shown in figure 4) was used to push the ice sheets

against the model platform The carriage is driven by a variable velocity

DC motor and can move at velocities between 0001 to l 50ms Velocity is

accurately measured by means of a wheel carrying a circular array of regularly

3

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 12: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

spaced holes which is mounted on the drive shaft of the motor A light

shines on one side of the wheel and as a hole passes the light ls detected

on the other side of the wheel by a photo detector The number of pulses

detected per second is linearly proportional to the carriage velocity

2 The test platform

The test platform is similar but not exactly identical in form to the

existing cable-moored platform Kulluk A scale of I 45 can be used to the

relate the test platform to Kulluk Table I lists the principal dimension

of both Kulluk and the test platform A detailed drawing of the test platshy

form is given in figure 5

As discussed by Matsuishi and Et tema (l 985a) a floating cable-moored

platform can be considered to be affected by three linear restoring forces or

moments

(a) A horizontal mooring force arising from the spring stiffness of the

00model Three values of spring stiffness were used in these tests K8

=

I 7kNm 05kNm The latter two stiffnesses were obtained by means of leaf

springs in the mooring harness

(b) A vertical foundation reaction force opposing heave motion due to

buoyancy Kn = 173kNm

(c) A foundation reaction moment opposing pitch motion again due to

buoyancy kp = 35lkNmdegree

3 Instrumentation

The platform was instrumented in two different ways (a) for Ks being

non-infinite (ie the platform was moored) and (b) for K infinite (the8

platform was fixed)

When urnoored the platform was connected to an instrument beam by way of

a linear mooring harness and a load cell (see figure 5) The mooring harness

comprised a pair of elastic leaf springs (to provide K ) a spline bearing8

stroke bearings and universal bearings as shown in figure 7 The harness

simulated accurately the motion of a floating moored platform Horizontal

mooring force was measured using a 490-Newton NISHO DENKI LMC-3502-50 load

cell which connected the mooring harness to the instrument beam Yawing and

4

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 13: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

swaying of the moored platform were restricted by two vertical rods located at

the fore and aft of the platform (see figure 8) The lOmm diameter rods were

constrained to slide in 10Smm wide slots (see figure 9) Thus the moored

platform had three degrees of freedom for motion heave pitch and surge

Heave and pitch motions were measured by means of two linear voltage

displacement transducers (LVDT s) which sensed the vertical motion of the

platform at two positions fore and aft The LVDTs were excited using 12

volts with a full stroke range of 015m

Vertical and horizontal accelerations of the moored platform were meashy

sured with three 2g(196ms-2) KYOWA ASQ-2BL accelerometers

The fixed platform (K = 00 ) was connected directly to a load cell which 8

was in turn bolted to the instrument beam (see figure 10) The horizontal

and vertical forces and the pitching moment experiences by the fixed platform

were measured using a 196-Newton and 98-Newton-meter NISHO DENKI LMC-4107-20

load cell

The locations of the measuring sensors and the positive directions of

recorded data are shown in figure 11 The output voltages from the measuring

sensors were scanned with a digital voltmeter The digitized data were sershy

ially transmitted to IIHRs HP-IOOOE computer system and there stored on

disc The data acquisition band width was 120Hz though each channel was

sampled at a rate of either 7 or lOHz

4 Calibration of transducers

For each of the data-logging transducers the zero level and sensitivity

were determined before each test

Each of the load cells and accelerometers had their output voltage v

measured for an amplifier-created calibration strain s bull The sensitivity S c

of each transducer was evaluated as

S = (ve )C (1) c

where C is a predetermined ratio of strain to the force or acceleration expershy

ienced by the transducer

5

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 14: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Sensitivities of the LVDTs were evaluated by measuring the voltage

change for a given displacement of the transducer rod

The sensitivity of the carriage velocity measurement was determined by

correlating the output voltage with the mean carriage velocity as measured

with a length scale and stop watch Calibration coefficients are listed in

table 2

B Model Ice

Ice sheets were grown from a O 7~~ by weight urea solution by the wet

seeding procedure described in detail by Matsuishi and Ettema (1985a)

Sheets were grown to three nominal thicknesses (20 30 and 40mm) After

seeding had occurred the cold room was adjusted for maximum cooling rate

until the ice sheet had grown to 85 of the desired thickness At that time

the room temperature was raised to allow the ice sheet to temper (ie to

weaken)

The flexural strength f and the flexural modulus of elasticity Efgt

were monitored during the warm-up period until af attained a prescribed value

(25kPa or 40kPa) The load F to fail a cantilever beam of length pound width b

and thickness h in downwards flexure was used to estimate af

(2)

Two to three cantilever beams were tested at several locations around the ice

sheet in order to obtain a representative mean value of af at intervals as the

sheet weakened

The flexural elastic modulus Ef was determined by measuring the increshy

ment o of the vertical deflection of the ice sheete due to small increments of

a point load ~P applied at the center-point of the ice sheet Thus

2o188( 1-v )

(3)2

Pwgh

where v = Poissons ratio for ice (taken to be 03) P = density of urea w

solution (= 1000 kgm3 ) and g =gravitational acceleration (= 98lms-2 ) The

data associated with each ice sheet are given in table 3

6

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 15: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

C Preliminary Tests

A number of tests were conducted to determine natural frequencies and the

logarithmic decrement of the moored platform surge heave and pitch oscillashy

tions both in open water and in ice conditions The results are tabulated in

table 4 Openwater tests had been conducted previously by Matsuishi and

Ettema (1985a) who had concluded that additional hydrodynamic forces due to

movement of the push blade used for driving ice sheets were negligibly

small The coefficient of friction between the platform and the ice was

measured using a range of normal pressures

D Test Procedures

A total of 42 tests were conducted 15 using the fixed platform 7 using

the moored platform with Ks = 1 7kNm and 20 using the moored platform with

Ks= OSkNm For each test series the ice sheet was pushed with a constant

velocity against the platform by the carriage The velocities used were 002

004 01 and 02ms The relationships between model and prototype values of

ice sheet speeds are given in figure 12 while the relationships between

forces and moments for model and prototype are shown ln figure 13

III PRESENTATION OF RESULTS

A Data

Individual time series from the tests are presented in a separate addenshy

dum to this report (Examples of time series are shown in Appendix 1) The

data obtained from the digital voltmeter were converted from voltages into

2engineering values (N for force ms- for acceleration mm for heave deshy

grees for pitch) by means of a simple computer program The time histories

were also analyzed to give the temporal mean the standard deviation about

that mean and the maximum and minimum values for each signal Table 5 gives

the results for the fixed platform tests and table 6 for the moored

platform tests

7

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 16: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

B Fixed Platform

Figures 14 through 17 show the effect on horizontal force of velocity

Note that as in all graphs of results the mean force and the mean plus two

standard deviations are plotted (following the practice of Matsuishi and

Ettema 985a) It can be seen that horizontal surge force increases with

velocity Similar trends are observed for vertical (heave) force (figures 18

through 21) and pitch moment (figures 22 through 25) Horizontal force

vertical force and the magnitude of the pitching moment all increase with

increasing ice thickness (see figures 26 through 28) The effect of ice

strength is less clear but would appear lo indicate that both forces and the

pitching moment increase with ice increasing strength

C Moored Platform

Figures 29 through 33 show the variation of horizontal (surge) force with

velocity for the moored platform The mean surge force appears to increase

with velocity though not always monotonically There is a possibility of a

minimum force at some intermediate velocity This minimum is more evident if

one considers the variation of the mean force plus two standard deviations

with ice velocity This is discussed further in Section IV below Figures 34

through 36 show the effect of ice thickness on mooring force mooring force

clearly increases with increasing lee thickness Note however that for the

40 mm ice thickness Ks = 1 7 kNm while for all other thicknesses Ks = 05

kNm

D Qualitative Data

As well as collecting time series of loads displacements and accelershy

ations visual data was also gathered An underwater video viewing the

underside of the model platform was taken for each test significant ice

underride occurred in all cases which is cause for concern since underridlng

ice may foul drill string or mooring lines Above water videos were also

taken of each test After each test any ice lodged under the platform was

collected and photographed (see as an example figure 37)

8

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 17: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

IV DISCUSSION

A Observations

A number of qualitative observations can be made with regard to ice and

platform behavior during the tests

Modes of ice fracture

As expected ice fractured circumferentially as it thrust against the

platform (see figure 38) After downward flexure had produce a circumferenshy

tial crack ice segments were further broken by radial cracks The resulting

lee pieces were then shored down the hull and clearing from beneath it

occurred in one of three ways They were either swept past the sides or

under the bottom of the platform or it rotated back under the oncoming ice

sheet The last clearing mechanism leading to the formation of a ridge or

collar of broken ice that ringed the platform and significantly affected the

ice loads it experienced

2 Platform motion

The platform amidst a moving ice sheet showed a fairly regular though

also stochastic motion The platform would pitch up at the point of impact

and heave while being shoved backwards After a certain amount of motion it

would lurch or surge forward rapidly only to be shoved backwards again

Numerous smaller motions were superposed on this long term surge behavior

This behavior ls discussed further in Section E below

3 Ice subduction

A major concern in any floating drilling structure is to avoid broken ice

moving under the structure and fouling the drill string In a cable moored

system such as Kulluk a further concern ls added that of avoiding fouling

of moored cables Considerable ice under flow was observed in the tests conshy

ducted for this study being most prevalent in thick ice conditions Somewhat

different behavior could be expected for the Kulluk platform because of

differences in a hull shape particularly of the hull skirt (see figure

39) Thus while Kulluk would experience less ice underflow than the model

9

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 18: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

platform it would experience higher forces since ice could jam in the

skirt 0 angle and crushing may occur in that region

B Ice Thickness Effects

As noted in Chapter III above for both the moored and the fixed

platform all measured parameters (surge force heave and pitch for the moorshy

ed platform surge force heave force and pitch moment for the 11 fixedn platshy

form) increased their mean and peak values monotonically with increasing ice

thickness This ls as to be expected since for a given ice strength the load

to break an ice sheet in downward bending increases In fact if one treats

an ice sheet as approximately a simple beam one has

= ( 4) y I

where o = the strength of the ice y = half the thickness of the ice sheet I

the second moment of inertia and M ls the breaking moment If we allow I

= bt 3 12 (where b = breadth and t = thickness of the simple beam) then we

have

2 0 bull bt

yM (5)

b

since y t2 The moment required to break the beam is given by

M = F2 ( 6)

where F is the resultant force due to the platform acting on the lee and i is

the appropriate moment arm (see figure 40) It is reasonable to assume that

i will be related to the characteristic length 2 which is generally taken c

(eg IARR 1980) as proportional to t 3 4bull Thus we might expect that

Fa tlZS (7)

However two factors should be considered First no account has been taken

of dynamic effects nor has the effect of the skirt on the platform been

considered Second the above analysis is simple and only a two-dimensional

10

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 19: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

approximation Ralston (1980) provides a three dimensional plasticity solushy

tion expressing the horizontal and vertical forces as second-order polynomial

functions of ice thickness while Enkvist (1983) suggests that the resistance

of the ice is directly proportional to the ice thickness Given the complexshy

ity of the platform geometry no simple relationship between forces and thickshy

ness should be expected but the upward curvature apparent in almost all of

figures 26 through 28 and 34 through 36 suggest a relationship of the form

(8)

where n gt I

C Ice Velocity Effects

For the fixed platform a general trend appears to be that both mean and

peak values of heave force surge force and pitch moment increase monotonishy

cally with increasing ice velocity In some cases however it appears that a

minimum in these parameters may occur at V ~ 005 ms as for ice thickness

30 mm and strength = 25 kPa for the fixed platform (figures 15 19 23) This

may be related to resonance and dynamic effects or could simply be the result

of scatter One would expect the forces to increase with lee velocity if as

was the case here the mode of ice failure remained the same (viz downward

fracture) through the range of velocities investigated because forces associshy

ated with flexural breaking and submergence of ice increase (see for example

Schul son 1987)

For the moored platform the situation is more complex as would be exshy

pected given the more dynamic nature of the experiments Thus although for

three cases (t = 40 mm S = 25 kPa t = 20 mm S = 40 kPa t = 30mm S = 40

kPa) the heave appears to increase monotonically with velocity this ls not

the case in the other two cases (t = 30 mm S = 25 kPa t = 20mm S = 25

kPa) Similar inconsistencies are apparent for the surge force and pitch

angle It appears that the stochastic nature of the ice fracture process

overrides any deterministic trends which might be occurring

11

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 20: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

D Mooring Stiffness Effects

Including the work of Matsuishi and Ettema (1985a) three tests have now

been performed for three mooring system stiffnesses (K = a 7 kNm os s

kNm) As figure 41 shows there appears to be a minimum of surge force as a

function of inverse mooring stiffness (lks) bull This is a very important reshy

sult particularly for the design engineer as it suggests that there may be

an optimum mooring stiffness which provides minimum loads and acCelerations on

the platform This result requires further investigation In particular it

is not clear precisely what factors contribute to this minimum Future expershy

iments are planned to elucidate this matter

E Dynamic Response

In order to determine the dominant frequencies of mooring loads platform

motions and the controlling failure modes of the ice as it moved against the

platform spectral analysis of time-histories was performed uslng a fast

fourier transform computer program The frequency spectrum for each test was

then compared with the calculated breaking frequency fb fb ls calculated by

divi ding the ice impact velocity V by the average length of broken pieces

lb thus

(9)

In order to highlight certain trends the following discussion will concentrate

on cross-cuts through the tests Four moored platform tests (all with ice

thickness = 30 mm and ice strength = 25 kPa) are considered with impact velocshy

ities ranging from 002 to 020 ms-1 Similarly four fixed-platform tests

are considered (see Table 7)

1 Moored platform dvnamic response

Figures 42 through 45 show the frequency power spectra for mooring force

(or surge displacement) Fx and pitch angle e for tests P301 through P304

Relevant data are listed in table 7 Figure 41 shows that for test P301 both

Fx and 8 exhibit a dominant peak at 2rrf = 07 which is approximately fb2

Mooring force also shows a peak at f = fb For P302 Fx shows a double peak

12

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 21: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

at 2rrf ~ 10 - 12 while e shows a peak at 2rrf ~ 20 which is associated with

fb The double peak in the mooring force spectrum appears to be associated

with the natural surge frequency of the platform fn 2rrf is approximately n

14 The mooring force peak is rather broad banded a trend which persists

for all data and is a result of the markedly stochastic nature of the ice

fracture process around the platform In test P303 there is a secondary peak

on the mooring force spectrum at 2Tif ~ 42 which corresponds to fb but again

the primary peak is associated with the natural frequency In the pitch

spectrum the primary peak is at 21ffb P304 continues this trend Again

surge is dominated by the platforms resonant frequency In the pitch specshy

trum three peaks are evident which correspond to fb3 fb4 and fb5 To

express this physically they represent vibrations associated with every third

fourth and fifth fracture process

The trend for the moored platform would thus appear to be as follows

When breaking frequency fb is less than the platforms natural frequency of

surge oscillation amidst ice pound the dominant frequency of mooring-force8

oscillation coincides with an integer fraction of fb usually fb2 Physicalshy

ly this means that the platform is shoved back by the ice which all the

white fails flexurally until mooring forces exceed imposed ice forces and the

platform surges forward to be shoved back once again

When fb equalled or exceeded fs the dominant frequency of mooring force

and platform surge was fs Physically the moored platform acted as if it

were a plucked violin string When released from a position of maximum surge

displacement mooring forces caused the platform to spring forward impacting

the onward thrusting ice sheet in a brief series of and breaking heavily

damped vibrations Pitcb oscillations of the platform occurred primarily at

the breaking frequency (or some fraction thereof) It should perhaps be noted

that there are a number of inaccuracies inherent in the frequency analysis

Data was gathered at 7 or 10 Hz thus higher frequencies than this are not

analyzed Similarly test length was at most 400 seconds so very low freshy

quency effects will not be captured Nonetheless it does seem clear that the

two major loading modes on the platform are the long term surge and the breakshy

ing of the ice

13

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 22: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

2 Fixed platform dynamic response

Figures 46 through 49 show the frequency power spectra for surge reshy

straining force (Fx) for tests P301F through P304F with associated data in

table 7 The spectra are more broad banded than for the moored platform

which is a result of the lack of degrees of freedom for the fixed platform

In a sense the fixed platform was unable to tune its responses to either the

forcing frequency or to a natural frequency of motion P301F shows a secondshy

ary peak at fb with the primary peak at fb2 In P302F there is a very broad

peak with the upper frequency corresponding to fb A similar situation is

evident for P303F The smaller higher frequency peak corresponds to fb and

the trailing peak may be associated with the clearing of rubble from around

the platform P304F show another double peak centered on fb2 In contrast

to the moored platform there is no long period surge peak This is to be

expected since the platform is fixed Again the breaking of the ice appears

to be an important feature in the ice fracture process

V CONCLUSIONS

The following conclusions were drawn from the study

1 When impacting the platform ice sheets fractured circumferentially

Significant amounts of broken ice passed under the platform especially

for the thicker ice sheets

2 For both moored and fixed platform tests surge force heave force and

pitch moment (or heave displacement and pitch angle for the moored

platform) increased monotonically with increasing ice thickness The

exact relationship between force and thickness is unclear because of

complexities in the interaction geometry but is of the form

nF a t

where n ) 1

3 The general trend for the fixed platform was for surge force heave

force and pitch moment to Increase monotonically with lee velocity The

14

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 23: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

few exceptions to this are probably due to scatter though resonance

effects cannot be dismissed

4 In contrast for the 0 moored 0 platform the effect of ice velocity on surge

force heave displacement and pitch angle is clearly compllicated by

resonance effects

5 The surge force experienced by the platform exhibits a minimum as stiff shy

ness decreases from infinity The minimum occurs at K ~ lKNm s

6 Fourier analysis of the time series show that for the fixed platform the

dominant frequency is the breaking frequency of the icefb or some whole

number fraction thereof

7 The moored platform also showed the breaking frequency or a fraction

thereof to be dominant for both heave and pitch However the surge

force power spectrum was dominated by the natural surge frequency of the

platform

15

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 24: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

REFERENCES

Enkvist E (1983) Level Ice Resistance VIIth Graduate School on Ships and

Structures in Ice Helsinki Chapter XV

Frederking R and Schwarz J (1982) Model Test of Ice Forces on Fixed and

Oscillating Cones Cold Regions Science and Technology Vol 6 PPbull 61shy

72

Frederking R (1984) Exploration and Production Concepts and Projects for

Arctic Offshore Proc IAHR Symposium on Ice Hamburg V 4 pp 387-411

Hnatiuk J and Wright BD (1984) Ice Management to Support the Kulluk

Drilling Vessel Proc 35th Annual Technical Meeting of Petroleum Society

of CIM Calgary Paper No 84-94 pp 333-365

Loh JKS and Stamberg JC ( 1984) New Generation Arctic Drilling System

Overview of First Years Performance Proc 16th Offshore Technology

Conference Houston Paper No 4797

Matsuishi M and Ettema R (1985a) The Dynamic Behavior of a Floating

Cable-Moored Platform Continuously Impacted by Ice Flows Iowa Institute

of Hydraulic Research IIHR Report No 294

Matsuishi M and Ettema R ( l 985b) Ice Loads and Motions Experienced by a

Floating Moored Platform in Mushy Ice Rubble Iowa Institute of Hydraulic

Research IIHR Report No 295

Ralston T (1980) Plastic Limit Analysis of Sheet Ice Loads on Conical

Structures Physics and Mechanics of Ice ed p Tryde IVTAM Symposium

Copenhagen PPbull 289-308

Working Group of the IAHR Section on Ice Problems (1980) Standardisation of

Testing Methods for Ice Properties J Hydraulic Research Vol 18 153shy

165

16

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 25: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 1

Principal Dimensions of the Test Platform and Kulluk

Diameter at deck level (m) 8 810

Diameter at load waterline (m) 1 5 675

Diameter at base line (m) 1334 600

Depth (m) 0334 155

Draft (m) 0 187 84

Displacement (m3) o 271 24700

Cone Angle (degree) 314 314

Test Platform Kulluk (l45 scale)

17

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 26: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 2

Calibration Coefficients for Test Transducer

Transducer Coefficient

Load Cell 1762 Nvolt Moored Platform LVDT Ill 127 mmvolt

LVDT 112 127 mmvolt

Surge Force 7 85 Nvolt Fixed Platform Heave Force 785 Nvolt

Pitch ~foment 7 85 Nvolt

18

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 27: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 3

Ice Sheet Data

Sheet No Thlckness Strength a Ela y y

(mm) (kPa)

P201 21 24 921 P202 21 25 1064 P203 20 27 881 P204 21 27 940 P301 28 26 435 P302 27 24 400 P303 28 26 220 P304A 28 25 150 P305 28 40 1453 P401 39 24 549 P301F 32 27 1443 P201F 21 24 4458 P302F 30 20 2100 P202F 20 25 4976 P203F 20 25 1569 P303F 30 20 1522 P304F 30 24 1171 P305F 30 39 780 P306F 30 40 1518 P307F 30 40 705 P308F 30 38 1418 P309F 30 41 1861 P401F 40 24 2131 P402F 39 24 1471 P403F 39 25 2207

19

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 28: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 4

Natural Periods and Logarithmic Decrements of Moored Platform

Surge Surge Heave Pitch Displacement Displacement Displacement Rotation (k 8 = 1 7 kNmXk

8 = O 5 kNm)

Natural Period (seconds)

T 300 450 141 1 17

Logarithmic Decrement 0

029 025 055

20

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 29: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 5

Test Thickness Velocity Strength 2cr F 2cr t-f 2crFH No (mm) (ms) kPa v p

P301F 29 002 25 4 74 390 569 394 -299 408 P302F 30 004 21 41 3 230 457 326 -318 328 P303F 30 01 24 485 274 335 526 -264 396 P304F 30 02 24 519 432 404 1050 -342 70 2

P305F 30 002 39 472 462 574 338 -331 35 0 P306F 30 004 38 494 330 681 342 -455 328 P307F 30 01 39 513 328 532 648 -398 485 P308F 30 02 38 77 8 694 29l 884 -418 480 P309F 30 02 41 807 754 85l 17 4 -650 1148

P401F 40 002 24 783 920 753 590 -391 620 P402F 39 01 24 870 714 672 958 -494 77 2 P403F 39 02 25 1022 1164 731 1730 -491 1248

P201F 21 002 24 186 107 242 18 1 -160 138 P202F 20 01 24 245 154 288 274 -218 180 P203F 21 02 25 390 318 379 784 -328 488

21

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 30: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 6

Moored Tests

Test Thickness Velocity Strength F 20 p 2a H 2o No (mm) (ms) (kPa)

P201 21 002 24 13 1 34 P202 21 004 25 21 l 128 -0201 0230 -1446 0876 P203 20 010 27 228 42 -0223 0176 -I 269 o 718 P204 21 020 27 286 1 6 -0162 0132 -0811 1 202

P301 28 002 26 26 6 200 -0285 022 -2001 09 P302 27 004 24 232 82 -0238 023 -I 399 092 P303 28 010 26 285 40 -0219 052 -1405 1 34 P304A 28 020 25 293 44 -0252 012 -1277 I 16 P305 28 002 40 270 204 -0207 026 -156 I 12

P205 19 002 40 275 234 -211 0188 -1514 799 P206 19 004 18 216 976 -0201 0162 -1413 576 P207 19 004 39 18l 189 -0248 o236 -1 664 bull 716 P208 205 010 41 372 494 -0339 0262 -2265 l166 P209 19 020 39 375 472 -0360 0148 -225 o 96

P306 30 004 40 710 456 P3010 28 002 36 508 518 -0 226 0334 -1616 165 P309 28 020 36 77 8 96 -0455 0412 -454 303 P308 28 010 36 727 134 -0423 0834 -387 438 P307 28 004 36 64l 322 -0250 0524 -2412 I 72

P371 37 002 28 1728 950 -0150 0690 -192 1 65 P403 40 002 24 1670 734 0060 I00 -242 368 P404 40 010 21 91 3 462 -0286 126 -305 238 P405 40 020 21 1243 554 -0382 I 28 -397 480 P406 40 002 22 574 628 -0364 040 -272 1 86 P407 40 002 20 478 334 -0395 036 -231 126 P408 40 010 20 870 534 -0374 1 26 -291 290

Thickness

20 mm - 4 at 25kPa 4 at 40kPa l at 18kPa 30 mm - 4 at 25kPa l at 2lkPa 6 at 40kPa 40 mm - 7 at 25kPa

22

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 31: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Table 7 Platform Dynamic Response

A cloored Platform f = 30mm s = 25kPa

surge pitch ltTest ii Velocity( mis) breaking length( mm) ~g 21ffb 21ffd 2n f

om dom

P301 002 110 018 1 13 07 07 P302 004 95 044 276 10-14 20 P303 010 120 083 522 08-14 45 P304 020 75 27 170 14 523832

B Fixed Platform f = 30mm s 25kPa

Velocity(ms) breaking length(mm) fb 21ffb 21ff dom

P301F P302F P303F P304F

002 004 010 020

155 120 115 100

013 033 087 20

082 207 547

126

055 21 42 60

23

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 32: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

--middot -middot~i-~- __

middot-middot middotshy -=~ shymiddotmiddotmiddotmiddotmiddotmiddot

middotmiddotmiddotmiddotmiddotmiddot---middotmiddot

middotmiddotmiddot middot middotmiddot

Figure 1 Conical Platform Similar to Kulluk

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 33: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Figure 2 The Model Platform

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 34: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

COOLING rowrn

--middot - ---middot -middot-- -------- --- ------- -----i -~ ~~ PIP~~=NC~~-=~ -5-5 - ~ - _j PUMP ~~10 ~(OR PIT[ [

r----middot--middotmiddottmiddot--middotmiddot---middotmiddot--middotmiddotmiddot-middot------_______ ------- ---~------ middotmiddot--middot------ - ~- --I 12 1=axvxnz9middot~ poundmiddotCOLD ROOM WALLmiddot-gt ~---middotmiddot-------~~

=--~rjmiddotz t~ _ _~--~-~ ~~_~~~-~~~--~~-~~-~~~-~~~~~~~~~~~)_~-~~~-~-~=~~----~-~~~-~~-~ ~ lUZ1-~ nz] ~middot~~ 1

1 ~JJ

_0 I

- -- I -middot-11shy

82

-~-

I EL 0 middotO UNE bull SUCTION LINE

=nJ c1 ~~~~~~~=~~~~=~ ===zm --middotmiddotSUCTION LfNEmiddotmiddot middotmiddot-middot-middot 1 J l_lJ---- _

COLO AIR OUClS bull

-17FT7npry1117j==-- -middotmiddotmiddotmiddot- - -- __ middot-- --- ( -shy

- -$~-~~ -1-~7-~tradeirbull -rry77middot---middotr~--71-T~-~middotT7~-~- middot---rrn~1 ~-~--_- -~--

JI~~ lNii ~NK~ lfJ middot ~ I A I

iamp~middot (middotmiddotmiddotlmiddot~middot~ I- middotmiddot~ ii ~lW ~ ~cimiddoti~~tmiddot middotmiddotiampllltmiddotmiddot -~1~~~ =Jl ~middot 11 Ill]I

middotlbullIbull ipoundmiddotJh bull ~Et

~micro_--middot-middotcc1--rrt(+Jt 1ijTWf~Wf J-~ middot-4middotiln~iJJ4-4-~yenfl1fi~~-middot14n7tVmiddotWt~micro1-1 - ~~~~lt~LlL-Lgt middotmiddotmiddotmiddot7 ~1lLgtc7-~Lt~iili~hr

li ~~ FlJti A 2 1f --liM1t iV-

1-

ICE TOWING TANK EL+3-7 SPRAY PUMP MAIN FJ OIJR UOUID Cie bullbulllr middot-middot

-VENTS CARRIAGE

r-~middotmiddotmiddotmiddotmiddotmiddot--nmiddotmiddot=middot=31

UNIT COOLER

L ==plusmnXL middot-middot ---middot7 middot-middotmiddotmiddotmiddot-middotmiddotmiddot COMPRESSOR COOiANT WAT EH--- COMPflESSOfl RETtJflN Flow----shy

2 LINE

o 2 bull s a 10 12 11 1s n II 1111I 1J

0 I 2 3 4 SM iIbull==

SCALE

fl bullgtbullUbullbull o_gtJfillh _

- SOM -

er 32 M ELoorI it~J T=t~1

~middotmiddotmiddotmiddot-~ r~- f middot TV CAMERA ____ rJ

SECTION A-A

TO

UNIT COOLERS

~------

S

ICE TOWING TANK IOWA INSTITUTE OF HYDRAULIC RESEARCH UNIVERSITY OF IOWA IOWA CITY IOWA

Figure 3 IIHR Ice Towing Tank Layout

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 35: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Tonk woli bullshy

lnslrnmenl Work boyIr rll 11

mbull -111 1l~ln ~I tr ~g u Variable speed n

OynomometeS i l~~middot drive ossen~~~IE

~middotjJlillllilllllllf11=1f 1]1~-~cckkJ-l--l-ill-1l-1111l-llllilllll--1lll=_Jil1

~----middotmiddotmiddot--middot~----middot ~~ _______ middot-~-~ Pion

I -r-i===c=======f======~-~-11

05m ======~=-~=========ii

~11 07rn-middotmiddotmiddot[t- + middot-middot--middotmiddotmiddot---middot Front levolion

-rr+shyu 0 = ]

-------i

-E 0

7 3N

c (_

ltt

Figure 4 Towing Tank Carriage

c 0-0 gt 0)

w QJ

Cl

(I)

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 36: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

___ _______I [-----------~~ _~ -_-~1

66

a344 -1- v -

j -J-L- LW L

278 50 I 101l_J_ __ __l __ BL

-middot 1334 ~

a= 3140

DISPLfCEtvEtJT0271 M 3

Figure 5 Detailed Drawing of Mode 1 Plat form

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 37: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

(_(~1 ~middot--Tl 1middotshy -r-~~-===~ T-J ~

j I

I

ltNSTRUMENf iE ~ AM

t--- ix A~OAO CELLNTfmiddotS

I I DEVICE1----~--==--- l- NAfYAW

~ I - ~~____ ] LATFORM

yen ---- ~ w ~v - I CE

STROKEUN bull - = V - IVERSAL BEARINGS i _shy

Figure 6 Instrumentation of Moored Platform

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 38: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

-- 1 rmiddotr-middot-middot-shyJ-~ Oeloil 1 t bullbull bullbull ~-

nbull bullbull middot= n- [-) - iE31-pound11E~yen=~s~~~ m~~tradebull-= r -v - middotmiddot- r~middot-rmiddotr~1~ AJ-middotshy0- - __ J

51 1pQlt_sectr

middot - J S 1middot ___Qme Shaft 1Jriiver ~()I_ ft1Qrig[ --- -=i~~ ~-~~~ ~1c --middotmiddot-1Jmiddot-middota middotmiddotmiddotmiddot IKO GE25GS

bull bull ----- Shofgt 5If Q~~-Jl~QLirig IKO SF08090- --- - ITD- 11 I - --shy- -- ~Po-~ 1 0 -shy Shof_~p_lJ -middot-middot -ii I)

iiplinl_ Beorin ~ _ _ ____J~~~11 Nut g eat gtRrmg11 Center Block

iRP_Q[j_

0 10 20cm LlLlllllllt 1-J

Figure 7 Details of Mooring Harness

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 39: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

---------- ------

-- - Can middot_El(]tt(Jrn Plate c - - ~- - ------- middot - _f1fClr~gj-iece_(Jnf1~ctir1g _Plate--~ ltflt

bull bull - _J~-~--Ltl_ Lltgteltl JI ==c-middot qff __ -JcJ-- ]shy

11 11 fltJrni -----11L~1~=~--- --shy

middottr-=~tlil ______itang c~~~ middotshy

Imiddotu

()

0 0

()

-f3_3 -e--e- middot CY 0

()

0 0 ()

0 UJJ11

10 20cm _J

Figure 8 Details of the Sway and Yaw Restralnlng Device

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 40: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

middotshy ~- middot41

ltmiddot~-- -shy

jtmiddot shy Jshy

~- -- ~ 1- if - - - - - - j - - ~--~ -~________~L---__

Figure 9 The Platform Showing Sway and Yaw Restraint

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 41: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

(FIXING FRAMEn n I I

middot ~ ~

u ~ L LOAD CELL

IbullmiddotI

Flgure 10 Instrumentation of Fixed Platform

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 42: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

F FORCE yx DISPLACEMENT

MMOMENT $=ROTATION

y middotACCELERATION

ICE z

(a) MOORED PLATFORM

L------------i-----FI t - 1-----1

CE

(b) FiXED Plt_ATFORM

Figure 11 Locations of Measurements and Positive Directions

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 43: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

00 04 08 12 16 20 (ktsl

PROTOTYPE SPEEJ D =67 mLW bull

I I I I I I I I I I I I I 00 02 04 06 08 10 12 14 16 x 10

-1 (ms)

MODEL SPEED DLW =lmbullJ

_J 4 O a ~0 2 x

FROUDE NUMBER v~

shy

Figure 12 Relationships Between Model and Prototype Ice Impact Speed

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 44: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

I I

0 2 4 6 8 10 12 14 16 18 20 (MN)

PROTOTYPE DLW=675m

I I I I I I

0 40 80 120

MODEL

160 200 (N)

(a) FORCE

OL_ _L_ _L2__L__~4--L-~6--l---8-----~10 (GN middotm)

PROTOTYPE DLw=675m

I 0

I 4

I 8

I I I I 12

MODEL

I 16

I I 20 (N middotml

DLW=l5m

(b) MOMENT

Figure 13 Relationships Between Model and Prototype Forces

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 45: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

FiJed Platform Surge Force N Ice Velocity

eo Thlckriesz ~ ZO mm

I

1 St~1 = 25 kFa I

5(i - i i

I Surge Force0 4l) 1

1 I bullI I

~

1 = 20 8 J

0

1)(H) CiD5 010 )15 )_))

Ice Inpact Ylociy (mi3

Figure 14 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 46: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Fbed Platfonn Sm-ge Force YS Ice Velocity

100 I bullI I

1 bullI

30 -_ 1

bull i I bull

61) J- J I bull lt ~ _ ---

J-1 _ 41) i J

gta i ~ 1 ~

20 -I j 0------------------__ 000 005 1)10 il15 020

Ici Inrpact Velocity (mi)

shy

shy

Flgure 15 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 47: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Fied Patforn Zmge Force 73 Ice Velocity

31)0 --------------------- shyi

j

I I

bull 200 ~

El bull Sluse Force

bull SF iluz 2 ~D El

m 8

H~000 005 J~O os v v

Ice Impact Velocity (mis)

Figure 16 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 48: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

16l I bull bullI I

Ibull(bull1-) I bull 0 81) bull g

1 8

~ iil I

J(I 1

1

(I

El Cl ~c (i-middot-- _ ~--middot J)i

h1=- zr~Jbull-bullbull ~middot

l)00 005 010 015 020 J25 Ic~ Impact Velecity n13

lied Platform Surge Force T Ice Yelocity

shy

Figure 17 Fixed Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 40kPa

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 49: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

i 1 -~o -t I ) l bull- I bull

I + - Igt -

bull J

-~ I I

~

1 )

000 ) JJ5 010 )25

Ice Impact Yelocity (mis)

Pixed Platforn Hean Force I Ice Yelocity

120

Figure 18 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 50: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

_ e -- 0 i

gt e

-

Fized Platform Heave Force vi Ice Yelocit]

16-(1

bull I I

121) 1

J I bull

bullso -1 l

+ I j

I Q

Q

40 1 I

o--~~~~~~--~~~~~~~--~~~~

I) 00 005 010 015 020 025 Ice lln11act Velocity (m13)

Figure 19 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 51: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

I TliAkw~~s JO mm

Stre~tli = 25 k1 bull 1z 2001 I) i bull s Heave Force-~ ~ - 1

I bull bull

gt 100 i 0I -- bull

I

0

000 oos 010 o5 nzo Ice Impact Velocity (mls)

Fired Platform Heavlt Fore is Ice Velocity

300

Figure 20 Fixed Platform Vertical Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 52: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

rjl) J - J

6 I bulli

~ bull bull ~ 100 ~ bull I bull I -

)

- trft ( middotmiddotfl f05 _

Fired Platform Heare Force~- Ice Velocity

i bull

shy

Ice Imyact Velocity mis)

Figure 21 Fixed Platform Vertical Force vs Ice Velocity

ThlrknP~~ = 30mm Stren~th = 40kPa

Hea~-e Force

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 53: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

-- - -

Fbed Platform Pitch Moment vi Ice Yeiocity

~oc -------------------- shyJ I

-middot

bull bull J 0 v

Q----------------------~

oo 1) 15 Ice Impact 7eiocity (Illi3)

Figure 22 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 54: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Filed Platform Pitch Moment 73 Ice Velocity

1middot0~o1 I I i bull e J _ 80 J - I= bull bull

= 1 I I --~

0

40

middot~ ~ l

I

e middot bull ~o bull1gt_ gt) _

lea impact Velocity (mis)

Figure 23 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 25kPa

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 55: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Fied Patform Pitch Moment vi Ice Velocity

bull

bull bull

middotshy-o~-----------------)_CO

Ice Impact Velocty (ni

Figure 24 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 40mm Strength = 25kPa

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 56: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

FiIerl Platform Pitch Moment VS Ice Yelociry

oo ~--------------------- I bull I t -s i --= lOU = 0 bull bull

t bull

(l05 011 015 bullJ20 Ice Impact Yelociry (mli)

shy

Figure 25 Fixed Platform Pitch Moments vs Ice Velocity

Thickness = 30mm Strength = 40kPa

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 57: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Fied Platform Pitch Moment 173 Ice Thieme~

20~1~~~~~~~~~~~~~~~~~~~~~-

1 I

100

I

-shy

bull

bull 20 shy

o a

Pied Platform Heave Force V3 Ice Thicbleii

140 bulli Igt _

Z 100 ~ bull

~ 13

80 1 -~ 60 -j bull-gt i 40 bull _-

4

J I

20 i)

)

He~ Force HF plus 2 SC1

shy

lbed Platform Surge Force vi Ice Tiricbleii

_ -) - - 00 l-

ba ~ I= 1~- I

bull i

0

bull

2) -middoti middot--

-) bull0 middotmiddotmiddot-

SF plus 2 srr

Figure 26 Forces and Moments vs Ice Thickness

Velocity = 002ms Strength = 25kPa

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 58: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Fbed Platform Heave Force n Ice Thicbless 200-~~~~~~~~~~~~~~~--

bull

Heav~ Foxe + bull HF plus 2 SD

1 bull I

e bull +

ebullA s

i middot 10 )) o 0 middotmiddot

140 ~ I bull

120 1 _ = 10 j _ - shy~ bull

0

0 ~

~) J bull 1 J1) bull

~

J ))

-

0

D 10

Figure 27 Forces and Moments vs Ice Thickness

Velocity = Qlgtms Strength = 25kPa

Fixed Platform Surge Force Ys lea ThiclJless

200 I J

shy

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 59: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

0

Fiied Platform Heave Force vi Ice Thickllels

~00 --------------------- shy

---- 200 I bull

j I

He~ve Force ) bullI bullbullgt I 100 i --

0 i) 00 ~ ~ ~ ~

Ice Thicme (mm)

Fiied Platform Sllige Force vi Ice Thickness

200---------------------~

-~ - - ~ bull

100 -

bullJ a

)

i) o ov

Ice Thickne~s (mm)

Pted Platform Pitch Momelt 3 Ic Tiliclne3s

200------------------------- St~~th =25 kP~i

1l~Jvcity J20 rru bull

-~-~ =

bulllGO I

bull

o o 30 ~(

Ice Thic1nels (lllln)

Figure 28 Forces and Moments vs Ice Thickness

Velocity= OlOms Strength= 25kPa

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 60: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

bull +

bull -]n1 - middottfshy= imiddotmiddot_ _bullbull

middotshy

n-------------------shy) _IJ( middot) t)S ) JO bullJ 15 bull) ~O _~5

Ice Impact 7 elocny (mlz)

Figure 29 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 20mm Strength = 25kPa

Moored Platfonn Surge Poree vs Ice Velocity

~o ------------------------

bull

0

bull

Moored Plauonn Pitch An1le 3 Ice Velocity

_ --------------------- bull

bull

03 bull a Pitch bullrile

bull

1)_) ---------------------shy

middot~Coeu )) 010 05 oo v

Ice Im11act Velocity (mi3

0 ------------------------

lt05 iJ10 )_ )20 Ice Impact ~lociry (m13)

Moored Platform Heare vs Ice Velocity

0 --------------------shy

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 61: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Moored PJltfonn Pitch Algle 73 Ice Velocity

1)8 --------------------- shy

bull ) _I) - ~ bulli I bull bull

~ -- (J4 ~ bull -

bull lt 3

) I

i) _

000 i)05 (110 i)20 ) _25

Ice Impact 7eiocity (mis)

Mooreti Pattorm Surge Force vz Ice Yelocity

5( ------------------- shy

-- bullbull-~ ~o

bull 3

~ 0 1

-bull bull v I -

~1 = I 11)

shy

shy

shy

Moored Platforn lieave vs Ice Velocit]

-~ ---------------------- shybull

j

bull

middot - middotbull

bullbull middot

)------------------shy) _)( )05 lt1 lO ls -1 n

------c~~Imnai_middottc7 elocuy (ml~)

Figure 30 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 30mm Strength = 25kPa

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 62: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

300 --------------------- shy

bull

bullbull

I i

lJO -i I I J

a

bull q ~

a

+

v

~

~ - bull -- bullbull

gt bull 4 I bull

~ - ~ - I

0

1JOO )05 00 1)5 (10 ~1 2~

Ice Impact 7eiocity (rrU~)

Figure 31 Moored Platform Horizontal Force vs Ice Velocity

Thickness = 40mm Strength = 25kPa

---------------------

Moored Patfonn Pitch Angle ltr lee Velocity

Fitch n~le

bull

0 G

- ~--------------------

000 OO 015 Ice Imlrut Velocity (mi

Moored Patfonn Sllrge Force TS Ice Velocity

--- 0

~ ~

el

Jj 00 i)1)5 025

Moored Platfonn Heave 73 Ice Velocity

10 I

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 63: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

~o ~ bull abull

bull iC middot ~~ (~-- t w -J_

G

0---------------------~ middote middot-_

Ic~ irnpact Yelocity (ID1-z

Moored Platform Have vs Ic2 Velocilt1

bull bull

)7 j

bulll_t)

1 bull 05 -_ bull

1l - bull bull J

~ 1)3 l -lt bull a c J

- shyOJJ

Ct JJ(l 005 010 015 020 02 Ice Impact YelDcity ml

Moored Platform Surge Force iS Ice Velocity

~o -----------------------shy

Moored Platform Pitch Angle 73 Ice Velocity

- bull- -middot~- ~ middotmiddot middot-shy- bull bull

= gt bull -qbull - bull ~ bull- -- _bull _ =

= ~

~

) 00

Flgure 32 Moored Platform Horizontal Force vs Ice Veloclty _ __ -middot---L __ AlT_

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 64: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

bull ~

bull o - 8

a8 8 -~ middot-

~

8

~ U - ~~

Moored Platform Pitch Anile v Ice Velocity

1 10 -i

l bull l) 3- bull Pitch JJ1~le

G61 bullbull 0

3

) __) ------------------------ ) Jl) oos 010 ois o_~o

Ice impact Yelocity ml)

Moored Platform Surge Force vs Ice Yeiocity

2C---------------------~

bull gt -i

middot- I bull

shy

Moored Platform Heave vs_ Ice Velocity

middot) --------------------- shy

-- --- shy

+ -~ bull

= -)_1)0 )_05 JJ bullt )_~

Jee Impact T~oc11ylllsL

Figure 33 Moored Platform Horizontal Force vs Ice Velocity - - - )(__ ----~t _ 1f11nshy-

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 65: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

--

ooreti atform Pitcl Angle ~- Ice Thicness

middot

--deg

~

~------------------------middot lgtloetv 002 rds bull

S~re~h = 5 F1

bullbull

bullbull iJJ

J

8

00 middotgtff0 10 bullV 30 40 so

Moored Patform Smge Furce 73 Ice ThicJnezi

GO----------------------- shy

bull

- -shy

--~-gt

bull ~ bull -

~ ~ t_ _ ~middot

1

bull 100 ~

bull bull

3

) --------------------~middot

- bull gt- ~middot~middot

Ice Thicbe~s (-mTl)

7 ----------------------- shy

bull

shy

lt) ---------------------- shy

o o middot1J -ii)

lee Tuicuesi (llllll)

Figure 34 Moored Platform Horizontal Force vs Ice Thickness

Velocitv = 002m~ SrrPncrrh = ~~o~

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 66: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Moored Platform Pitch Angle vi Ice Tiridnesi

bullbull

bull bull

bull

Ice Thiche~ (mm

160 ~~~~~~~~~~~~~~~~~~~~~~~--- 7~1middoticicr =ij_10 m1

0

bull

6 ~~~~~~~~~~~~~~~~~~~~~~~~-

bull

bull bull - -middot- ~middot --- ---shy~-

bull

l ~-----------------

JI)

Figure 35 ~cored Platform Horizontal Force vs Ice Thickness

Velocity= OlOms Strength= 25kPa

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 67: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

0 -~ - - bullbull t bull bull-- ~gt

u bullbull

0

)

~)

Moored Platform Pitch Angle VI Ice Thickne33

i i I j

bull

I Pitch ~41Z le

bull

bullbull 3 3

-

J 10 28 ~o

Moored Platform S~e Force TS Ice Thickness

lt_(1

Figure 36 Moored Platform Horizontal Force vs Ice Thickness

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 68: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Figure 37 Ice Trapped Underneath the Platform Shown after the Test

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 69: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

Figure 38 Circumferential Ice Fracture Around Platform

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 70: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

()

0

3 0 0 ro

r c--c i shy

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 71: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

T)

~

~

() r

-c c () re

ltgt ()

r

deg 0

r 11)

() 11) ()

r re 11)

fl ro le

-~

OJ -J

-t 0 ri ro

~-3 0 3 ro J -t shy

l 3

r c ~

~

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 72: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

80

-~OU-z ~

LL

Cl laquo deg 0 _j 40

i

middot -~ ~-~-

l

l 1

j f

~

-----~ I

---- Mean

H =28-3 mm

cr=25KPa 1l =002 ms-

v -------- - - -

20 L 0 l____~~~~_____jl

0 02 04 06 08 LO l2 l4 LS 20

1 MOORING S7IFNESS (mmN)

l shy

Figure 41 Surge Force vs 1K 9 (Inverse of ~oaring Stif~ness)

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 73: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

02

[

1

L FCWRJR SFECTRAL i llee1ia3 i P301

s-se = v-ooa 1 i

~

01 middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot

l i I i

I i 1 i i i i

~ I 1 i i i [ ~ i

I II Ar IO~CYT e 7 6 10

(HZ) 0 1 2 4 5

50 I 1

i FOURIER i -)L 1 lS86lZ31 bull P301 bull i - 1

40 bullazamiddot=middot v 0-02 =a s za =_ 1L I Ir ~ r I J

so

= ll i i igtlt [--1lill middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot- middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddot ~20

f- I ~

10 ~

0

~

i ~

L

0 5 6 7 9 bull u

_-r 7- Frequency (HZ)

-~a

~--

Figure 42 Frequency Power Spectra for Fx and 8 test P301 (moored)

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 74: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

02

I FOURIJiR spiEcTLu ~ltALyensrs I l ie7 ol oa P302 ~i

H-27 = v-o04 mbull s-a4 Ka

Ill J r II r t 1

01 ~1 middot11middot middotmiddotmiddotmiddotmiddot bullmiddotbull middotmiddot1middotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddoti

- 1

1 [ ~vmiddot ~ 1 1 ~ j 1

1i [ ~ [ j ~ 1f 0dltI I gt--- bull

I

o gt bull bull bull

0 1 2 6 7 6 10

6 I ~

FOURIEH SFECRAL ANALYSIS 19870102 P302i lH-27 = v-004 ms s-z4 cp

J ~ ~ i

J4 ~ 1i1

- ~ i

I ~-

2 -l middotimiddot middot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middot- I 11 bull

tI 1

~middot 1 i 1 i

0

_

0 1 2 6 7 6 g

~ - (HZ)

_11 Frequency (HZ)

shy

Figure 43 Frequency Power Spectra for Fx and 6 test P302 (moored)

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 75: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

015

0

r I

0

t i I

FotiRER SPECTRAL

ille70soo Psos

2-L l x Fr-equeney (HZ)

3 4 5

~uosrs s-ae Ca

6 7 a

I

J

10

i

FOURIeR SFECRAL AALYSIS[ 1 I

19870JOO 303i E-za lUtl v-oo s-za Ke

[ 2 lmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot1

t ~ I t i - I I

~ J J ~ -

Ii _

i

-shy

l -

1I

0 0 5 6 7 6 0

middot_-1 bull Frequency (HZ)

Figure 44 Frequency Power Spectra for Fx and 8 test P303 (moored)

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 76: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

002

IFltiURIER SFEC~ Al ~r~srs

t 1ile7oi_07 P304 = v-020 s-ao iagta

1 I L

1 i

001

r I 1 I middot~middot middot middot rV middot 2i vi

~I ~ bull ~__ bull j ) 0

0 2 5 8 7 8 10 Frequency (HZ)

shy

6 -rr~-----------c--~--r-c-----~~~----

L FOGRIER SPECTRAL bull--ltALYSIS

i 1870107 P304

v-020 ms= 1 1

4 irmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot-1middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot--middotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot middotmiddotmiddot ~

1 -

gtlt shy

2

l I

Jr middot middot middot middot middot 1 ~ A shy

l1 bull I middot r- )

v v 0 [

0 1 2 I I

3 5 6 7 8 9 10

Frequency (HZ)

Figure 45 Frequency Power Spectra for Fx and G test P304 (moored)

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 77: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

400 L ~ ~ FcrtRIER sFECTRAL -u-srs J

1~870l115 P30ll ~ J

fJ L~~~-~r~ l~-~~t-~~f~~ -~~-L l300 I- 1 I

~ I ~ i II i- r _ bull bull bull 1= 200 middot~middot bull middotlaquo bullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbull bullbullbullbullbullbullbullbullbullbull bull bull bull bull bull bull bull bullbull bull bull bull bull bull bull bull bull bull bullbullbullbullbullbullbullbull ~ bullbullbullbullbullbullbullbull

~ - ~ I

1

l J

t lmiddotmiddot + middotmiddot~ i middott middotf ~ JI 100

i 1 I r- 1 vI bull bull bull bull bull 1 I ) j 1r 1(-- bull bull 1

0 0 1 2 3 4 5 6 7 8 g 10

_ lt Frequency (HZ)

Figure 46 Frequency Power Spectrum for Fx test 301F (fixed)

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 78: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

50

r 1 I

FQURIER SFECrRAJ AfALYSIS 1 l9870l bullHl P302F ~

40 middotmiddotmiddotmiddotmiddotmiddotmiddot~middotmiddotmiddotmiddotmiddotmiddot~30~middotmiddotmiddotY0~4middot~bull middotmiddotmiddotf321lCamiddotmiddotmiddotmiddotmiddotmiddotmiddotJ[

30 tmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotlmiddotmiddotmiddotlmiddotmiddotJ iJ ~iL i I I 1 -r

I j i

20 bullllj middotmiddotmiddotmiddotmiddotmiddot-middotmiddotmiddotmiddotmiddotmiddotmiddotmiddot=middotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddoti jI I I Imiddot1

Ah J

QI I 11bullmiddotmiddotmiddot bull ~ C) bull = 0 i 2 3 4 5 e 7 8 iO

_r x Frecuency (HZ)

Figure 47 Frequency Power Spectrum for Fx test P302F (fixed)

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 79: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

40

- =-gtlt 20

0 1 2 5 6 7 8 9

Freq uency (HZ)

60

Figure 48 Frequency Power Spectrum for Fx test 303F (fixed)

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service
Page 80: ICE-SHEET INTERACTION WITH A CABLE-MOORED PLATFORM...Hitachi Zosen Corporation, Osaka, Japan Mobil Research and Development Corporation, Dallas, Texas Minerals Management Service,

40

so

20

0 0 1 6 7 a 10

(HZ)

Figure 49 Frequency Power Spectrum for Fx test 304F (fixed)

  • Ice sheet interaction with a cable moored platform
  • Mobil Research and development corporation
  • Minerals Management Service