Disaster Mitigation Geotechnology 11 · 1.1 Soil particle density T m m m m w s a b s ... Standard...
Transcript of Disaster Mitigation Geotechnology 11 · 1.1 Soil particle density T m m m m w s a b s ... Standard...
1 Physical tests
1.1 Soil particle density
Tmmm
mw
bas
ss
Picnometer
Soil particles m a
Distilled water
m b
Distilled water + soil particles
m s Soil particles
Distilled water
m a m b m s
ma, mb and ms do not include the mass of the picnometer.
1.2 Water content
ma mb mc
炉乾燥により蒸発
cb
ba
mm
mmw
×100 = ×100
Evaporation by oven-drying
ma, mb and mc can include the mass of the plate.
Enlarged photograph
of Sand
SEM image
of clay
r
s
w Sew
Physical Properties of soils
(low compressibility) sand < w, e < clay (high compressibility)
w=1.0g/cm3
s2.7g/cm3
Sr100%
Water content w vs.
Degree of saturation Sr
1.4 Liquid limit and plastic limit
Rock flour crashed by the glacial. SEM image of north European clay
0
20
40
60
80
100
120
0 40 80 120 160
液性限界 w L (% )
塑性指数
I
P
圧縮性:大
塑性:大
圧縮性:大
塑性:小
圧縮性:小
塑性:小
圧縮性:小
塑性:大
A線:I P =0.73(w L-20)
B線:w L=50
Qualitative evaluation of soil properties using a relationship
between plasticity index and liquid limit (=Plasticity chart)
Pla
stic
ity i
ndex
IP
Liquid limit wL (%)
B-line:
wL = 50
A-line:
IP = 0.73(wL – 20)
Compressibility: Small
Plasticity: Large Compressibility: Large
Plasticity: Large
Compressibility: Small
Plasticity: Small
Compressibility: Large
Plasticity: Small
w Lw p w n
0
5
10
15
20
0 40 80 120 160
含水比 w (% )
海底面からの深さ
(m
)
Osaka Bay clay
Water content w (%)
Dep
th f
rom
the
sea
bed
z
(m)
Question 1
A soil with a water content w of 100% collected from a
seabed is considered:
-How much is the liquid limit wL?
-Can you judge that this soil is sand, silt, or clay?
-How much is the void ratio e?
-How much is the effective unit weight g' ?
-How much is the overburden effective stress s'v0 at a
depth of 10 m from G.L.
How much is the compression index Cc?
Note that you can use the relation ship expressed as Cc = a ×(wL – b) with
a = 0.009 and b = 10 for e.g. European clays or
a = 0.0125 and b = 20 for e.g. Asian clays (Japanese clays), for example.
There are many proposals.
Question 2
A soil with a water content w of 100% collected from a
seabed is considered:
-How much is the void ratio e? (Question 1)
A soil with a water content w of 50% collected from a
seabed is considered:
-How much is the void ratio e?
A soil with a water content w of 33% collected from a
seabed is considered:
-How much is the void ratio e?
Consolidation test
Methods for consolidation tests can be classifiedf into two types.
One type is called an incremental loading oedometer test (and
was commonly called a standard consolidation/oedometer test)
and the other is called a constant rate of strain loading
consolidation test.
Incremental loading consolidation (oedometer) test:
Standard specimens are 60 mm in diameter and 20 mm in
height, and are set in a metallic (e.g. stainless steel/brass)
consolidation ring with a high rigidity.
The consolidation tester (=oedometer) is set up, and loading
weights are prepared corresponding to the loading stages.
供試体 重錘
供試体
(a) Before test (b) Load at the
third stage
Specimen Specimen loading
weight
供試体 重錘
供試体
供試体
供試体
(a) Before test (b) Load at the
third stage
(d) Load at the
final stage (c) Load at the sixth stage
Specimen Specimen
Specimen Specimen
loading
weight
The loading pressure p starts at 5 or 10 kPa and
the pressure is incremented in the ratio Dp/p=1, that is, the
increment in pressure is the same as the pressure currently
loaded, and
loading takes place at every 24 hours.
The consolidation pressure thus takes the values
5, 10, 20, 40, 80, 160, 320, 640, and 1280 kPa.
The commonly employed consolidation test is the incremental
loading oedometer test in which the load is doubled each time.
However, in a “consolidation test at a constant rate of strain
(the CRS consolidation test),” the compressive strain is
produced at a constant rate. It is common to use an axial
strain rate of 0.01 to 0.02 %/min in testing.
The incremental loading oedometer test only yields data at
discrete points, but the CRS consolidation test has the
remarkable advantage of producing a continuous e – log p
relationship.
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
Consolidation pressure
Void
ratio
IL
py , pc , σ'p
It can be seen that most of the points measured by using
the incremental loading oedometer test, indicated by ,
almost agree with the results of the constant rate of
strain consolidation test.
However, the values for the consolidation yield stress py
are significantly different; the results of the constant rate
of strain (CRS) consolidation test, obtained from
continuous data,
give larger values.
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
Consolidation pressureConsolidation pressure
Void
ratio
Void
ratio
ILIL
When e – log p is calculated from the incremental loading
oedometer test data, one's attention is inevitably drawn to
the pressures for which data exists, and
the relationship cannot be correctly evaluated near the
consolidation yield stress py where there is a large
variation in curvature.
This is likely to be one reason that the value may be
miscalculated.
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
圧密圧力 s'v, p (kPa)
間隙比
e
CRS
段階載荷
pypy
Consolidation pressureConsolidation pressure
Void
ratio
Void
ratio
ILIL
0
3
6
9
12
15
18
0 50 100 150 200
圧密降伏応力 p y (kPa)
深さ
z
(m
)
Consolidation yield stress py (kPa)
Depth
(m
)
Data from incremental
loading oedometer test (image)
0
50
100
150
200
Ele
vation
z (
m)
0 1000 2000
pc, s'v0
s'v0
Dp/p
1.0 0.5 0.25
s'ys'v0
( 250)
( 200)
( 150)
( 100)
( 50)
0
0 1500 3000
Yield stress s'y (kPa)
0
50
100
150
200
Ele
vation
z (
m)
0 1000 2000 3000
pc, s'v0
s'v0
Incremental
loading
Constant strain rate
CRS -71m
K0 -72m
K0 -40m
K0 -98m
CRS -76m
CRS -101m
CRS -130m
CRS -158m
CRS -208m
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
10 100 1000 10000
Consolidation pressure s'v (kPa)
Vo
id r
atio
e
e – log p curves
obtained from CRS
consolidation test
wLwp wn
- 250
- 200
- 150
- 100
- 50
0
0 60 120
Water content w (%)
siltclay<5m
sand
( 250)
( 200)
( 150)
( 100)
( 50)
0
0 50 100
Fraction (%)
s'ys'v0
( 250)
( 200)
( 150)
( 100)
( 50)
0
0 1500 3000
Yield stress s'y (kPa)
- 250
- 200
- 150
- 100
- 50
0
1.0 1.5 2.0
OCR
-250
-200
-150
-100
-50
0E
leva
tio
n z
(m
)
H. clay
P. clay
P. clay
P. clay
P. clay
sand
sand
P. clay
P. clay
P. clay
Coefficient of
consolidation cv
cm2/day cm2/min cm2/s
m2/day m2/min
m2/s
1 6.94E-4 1.16E-5 1E-4 6.94E-8 1.16E-9
10 6.94E-3 1.16E-4 1E-3 6.94E-7 1.16E-8
100 6.94E-2 1.16E-3 1E-2 6.94E-6 1.16E-7
1000 6.94E-1 1.16E-2 1E-1 6.94E-5 1.16E-6
1.44 0.001 1.67E-5 1.44E-4 1E-7 1.67E-7
14.4 0.01 1.67E-4 1.44E-3 1E-6 1.67E-6
144 0.1 1.67E-3 1.44E-2 1E-5 1.67E-5
1440 1 1.67E-2 1.44E-1 1E-4 1.67E-4
Question 3
How much longer consolidation period is required for
a clay layer in 18-m thickness than a clay layer in 9-m
thickness? (note that these 2 layers have the same
consolidation characteristics)
How much longer consolidation period is required for
a clay layer with a coefficient of consolidation cv of 10
cm2/day than a clay layer with a cv of 100 cm2/day.
Explain an influence of loading stages on the
consolidation yield stress py obtained in the
incremental loading consolidation test.
Question 4
There is a 10-m thick marine clay deposit with a water
content w of 100% under the sea.
The water depth at this site is 2 m. If 4-m thick sand is
filled on this clay layer, how much settlement is
expected?
How long consolidation period is approximately
estimated up to 90%-degree of consolidation in 2
cases with a relatively larger cv value and relatively
smaller cv value?
Shear strength
In-situ test
Standard Penetration Test =SPT (N-value)
Cone Penetration Test = CPTU (qt, ud, fd)
Laboratory test
Undisturbed Sample Sampling Method
In Japan,
“sampling + laboratory tests” is for clayey soils
“SPT” is for sandy soils
Sampling
How to collect an undisturbed sample
Thin-walled tube sampler with fixed piston
For soft clay, Japanese standard
Role of piston is important
Denison sampler (Rotary double tube sampler)
For stiff clay
100 m
eter
s lo
ng,
typic
ally
Rod coupling
Sampler head
Ball cone clamp Spider Adapter
Screw to attach the
sampling tube
Sampling tube
Inside diameter;
750.5 mm
External diameter
Venting bolt
Packing set screw
Packing Piston base
Piston rod
Chain
Turnbuckle
Swivel
Piston rod
Piston
Piston rod
Ball cone clamp
Spider
Adapter
Drain hole
Piston
Spring
Spring
Thin-walled tube sampler
with fixed piston
10
00
mm
(a) (b) (c) (d)(a) (b) (c) (d)Sampling procedure using the Japanese thin-walled tube
sampler with fixed piston
An old scene to assemble the boring derrick.
Anything can be assembled with scaffolding timbers and annealing wires.
Thin walled tube sampler with fixed piston.
(back: extension rod type, front: hydraulic operation type)
Thin walled tube sampler with
fixed piston:
Left: hydraulic operation type
Right: extension rod type
Thin walled tube sampler with fixed
piston (Hydraulic operation type).
Completely extended state. An o-ring
can be seen in the drainage holes.
The assistant hands over the boring rod
from the derrick. The boring rods are rested against the
derrick.
The inner rod is fixed to the derrick
through the chain. Penetration length of
80 cm is marked by chalk on the boring
rod.
Disturbance in the sampling
Stress release Inevitable
Mechanical disturbance
(Strain, Deformation, Crack)
Depends on the Sampling method
-Remolding type・・・Shallow and Soft clay
-Crack type・・・Deep and Stiff clay
Stress path
during the
sampling
A: Ideal sample
Impossible by
stress release
B: Perfect sample
No mechanical
disturbance
with stress release
Disturbance Ratio
R = s'p/s's 3—6
A: Ideal
P: Perfect
G: UU-test
F: UC-test
Boring
Sampling
Extruding
Trimming
Horizontal stress
Ver
tica
l st
ress
Strength anisotropy
Difference between
Compressive and Extensive strengths
Inherent anisotropy by deposition
Induced anisotropy by stress anisotropy
(isotropic stress, K0-value)
10m 10m
Micro-structure of clay (SEM images)
Singapore clay Pusan clay
Pyrite: FeS2
Diatom: SiO2
Abundant Kaolin
Sedimentation condition
The same shape and same number
Particle arrangement is different
Strength is different
Anisotropy on shearing direction
su=(suc+2sus+sue)/4
su=(suc+sue)/2 or su=sus
Strength anisotropy sue/suc≒0.7
Triaxial
Extension
sue
Triaxial
Compression
suc
Direct
Shear
sus
56m
56m
83m
83m
193m
193m
142m
142m
-1400
-700
0
700
1400
0 700
Effective mean stress
p' (kPa)
De
via
tor
str
ess
q (
kP
a)
(b)
56m
56m
83m
83m
193m
193m
142m
142m
-1400
-700
0
700
1400
0 4 8 12
Axial stress e (%)
De
via
tor
str
ess
q (
kP
a)
56m: s'v0=344kPa
83m: s'v0=521kPa
142m: s'v0=935kPa
193m: s'v0=1302kPa
(a)
Osaka Bay clay
Prerequisite for UC test Sampling by thin-walled tube sampler with fixed
piston moderate disturbance (= slight disturbance)
Followings cause “too much disturbance”
Sampling in slipshod manner
Using poor sampler
Shock during the transportation
Careless trimming
Shock into the specimen
Smaller strength is obtained Over design
Strain rate effect
Actual failure
UC,UU 0.88
Strain rate
Str
ength
rat
io a
gai
nst
s u a
t st
rain
rat
e of
1.0
%/m
in
Shear strength for design
su* = (qu/2) x c1 x c2 x c3
c1: correction factor for sample disturbance
c2: correction factor for strength anisotropy
c3: correction factor for strain rate
c1 = 1.0(perfect sample)/0.7(average disturbance)
c2 = {1.0(compression) +0.7(extension)}/2 = 0.85
c3 = 0.85(e=1.0%/min and 0.01%/min)
c1 x c2 x c3 ≒ 1 [Lucky Harmony]
Effect of data variation on the design
An analysis of the embankment. (Nakase, 1967)
Fs=1.24
Fs=1.01
Circle arc failure on the profile ①
Circle arc failure on the profile ②
Dep
th (
m)
Dep
th (
m)
Clay
Sand
Clay
Sand
Application of UC strength based on the experience
An application for a failure of Japanese clay
Be careful for other marine clays with different characteristics (disturbance, anisotropy, strain rate effect)
#Stability analysis by using UC strength
Common sense in Japan, but
NOT Common in other countries
UU-test valid for crack type disturbance
CU-test (Consolidation with s'v0) valid for remolding type disturbance
To obtain a reliable test result …
Recompression method
Minimize the effect of disturbance
s'v0
s'v0
K0s'v0 s'h0=K0s'v0
s'v0
s'v0
K0s'v0 K0s'v0
In-situ Recompression
K0:Coefficient of earth
pressure at rest
Triaxial CU
compression and
Extension test
UC strength and
Triaxial compressive &
extensive strengths
10
30
50
70
0 50 100 150 200
非排水せん断強度 s u (kPa) 深さ
z (
m)
●: s uc
○: s ue
×: q u /2
Undrained shear strength c u (kN/m 2 )
c uc
c ue
Dep
th
z (
m)
The undrained shear strength (qu/2) obtained from UC test varies much, but the average value agrees with the mean value of the triaxial compressive and extensive strengths with recompression method.
Why the Triaxial test does not
become popular ?
Because it is costly (=expensive) !
The cost of Isotropic Consolidated Undrained
Compression Triaxial test (CIU-test) is more
than 10 times of UC test.
Anisotropic consolidation with recompression
method is more expensive
K0-consolidation is much more expensive
Practical application of Triaxial test is still
difficult today even in Japan!
Question 1
A soil with a water content w of 100% collected from a seabed is
considered:
-How much is the liquid limit wL?
In the shallow seabed, wL=wn then wL100%
-Can you judge that this soil is sand, silt, or clay?
clay
-How much is the void ratio e?
Using eSr = (s/w)w with s=2.7g/cm3, then e=2.7 (s/w=Gs)
-How much is the effective unit weight g' ?
g’= (s-w)g/(1+e)=(2.7-1.0)×9.8/(1+2.7)=4.5kN/m3
-How much is the overburden effective stress s'v0 at a depth of 10 m
from G.L.
s’v0=g’×z=4.5×10=45kN/m2
How much is the compression index Cc?
For Asian clays (Japanese clays)
Cc 0.0125×(wL – 20) is known as empirical equation, thus,
Cc 0.0125×(100 – 20) = 1.0
Question 2
A soil with a water content w of 100% collected from a seabed is
considered:
-How much is the void ratio e? (Question 1)
Using eSr = (s/w)w with s=2.7g/cm3, then e=2.7
A soil with a water content w of 50% collected from a seabed is
considered:
-How much is the void ratio e?
Using eSr = (s/w)w with s=2.7g/cm3, then e=1.35
A soil with a water content w of 33% collected from a seabed is
considered:
-How much is the void ratio e?
Using eSr = (s/w)w with s=2.7g/cm3, then e=0.9
Question 3
How much longer consolidation period is required for a clay layer in 18-
m thickness than a clay layer in 9-m thickness? (note that these 2 layers
have the same consolidation characteristics)
Since required consolidation time is proportional to H2 (the law of
squared H), if thickness is twice, required consolidation time is 4 times.
How much longer consolidation period is required for a clay layer with a
coefficient of consolidation cv of 10 cm2/day than a clay layer with a cv
of 100 cm2/day.
Required consolidation time is proportional to 1/cv, if cv is 1/10 times,
required consolidation time becomes 10 times.
Explain an influence of loading stages on the consolidation yield stress
pc obtained in the incremental loading consolidation test.
Because compression curve obtained from incremental loading
oedometer test tends to yield at an existing data point, the consolidation
yield stress pc tends to be underestimated, in particular for a structured
clay by ageing effect. In order to solve this problem, it is useful that
either incremental loading ratio is decreased around pc in order to
obtain dense data set around pc or compression curve obtained
constant rate of strain consolidation test is used as a curve ruler in
order to fit the data set obtained from incremental loading oedometer
test.
Question 4
There is a 10-m thick marine clay deposit with a water content w of 100%
under the sea.
The water depth at this site is 2 m. If 4-m thick sand is filled on this clay
layer, how much settlement is expected?
wn=100 corresponds to e=2.7.
wL wn is empirically known for shallow depth seabed soil, and
using an empirical equation Cc = 0.0125×(wL – 20) for Japanese marine
clays, then Cc 1.0
g' = (s – w)g/(1+e) = (2.7 – 1.0)×9.8/(1+2.7) = 4.5kN/m3
At the middle depth of clay layer (z = 5m)
s'v0 = g ×z = 4.5×5 = 22.5kN/m2
Thus, effective unit weight of sand is g' = 9.8 kN/m3 (1kgf/cm3), and
above the water level, gt = 17.6kN/m3 (1.8kgf/cm3)
Incremental loading by filling is Dp = 2×9.8 + 2×17.6 = 54.8kN/m2
Therefore, consolidation settlement S can be estimated by the following
equation:
S = Cc×H / (1 + e)×log{(s' v0 + Dp) / s'v0}
=1.0×10 / (1 + 2.7)×log{(22.5 + 54.8) / 22.5} = 1.4m
Question 4 (cont’d)
How long consolidation period is approximately estimated up to 90%-
degree of consolidation in 2 cases with a relatively larger cv value and
relatively smaller cv value?
Approximately cv=10cm2/day in a case of slow consolidation, and
cv=100cm2/day in a case of rapid consolidation. When clay thickness is
10 m with double side drainage, maximum drainage distance H* is 5 m
(= 500 cm), and then
In a case of slow consolidation:
t90 = H*2/cv×Tv90 = 500×500 / 10×0.848 = 21200 day 58 year
In a case of rapid consolidation:
t90 = H*2/cv×Tv90 = 500×500 / 100×0.848 = 2120 day 5.8 year
where time factor at 90% degree of consolidation is Tv90 = 0.848.
In order to obtain the coefficient of consolidation cv, consolidation test
is strongly required.