Deformation Integrity Monitoring forGNSS-Positioning Services

including a Scalable Hazard Monitoringby the Karlsruhe Approach (MONIKA)

- Concept, Realisation and Results -

Speaker:

Dipl.Ing. Peter Spohn

Content1. Introduction

4. SAPOS-BW 2008 Solutions

3. MONIKA Software3.1 Data interfaces3.2 Baseline processing3.3 Epoch definition3.4 Epoch adjustment3.5 Plate-Rotation

3.6 Deformation analysis

3.7 Automatications

2. Mathematical Model2.1 Step 1

2.2 Step 2

2.3 Step 3

2.4 Transformations

2.5 Step 4

2.6 Further analysis

5. EUREF 2008 Solutions

6. Further Developments

1. Introduction

- GNSS positioning services (ex. SAPOS)

- GNSS networks (ITRF, EUREF, MOLDPOS…)

1. Introduction

1. Introduction

Common solutions:- Network adjustment with one fixpoint and

coordinate differences

- Network adjustment with Helmert transformation and coordinate comparing

not very sensitive!

How to control reference points?

MONIKA solution:

- Deformation analysis with all reference points

highly sensitive!

2. Mathematical Model

2. Mathematical Model

Overview

2. Mathematical Model

2. Mathematical Model

)C (l, l

)C ,x( x

__

2.2 Step 2 - Epoch definition

• suggested deformations• total time span

of the analysis

2.1 Step 1 - Raw-Data-Processing

• RINEX-Data

to baselines / networks

2. Mathematical Model

• Input: Baselines/Sessions• 3D Network adjustment• Quality control• Output: Epochs )C ,x( x

__

)C ,x( x

2.3 Step 3 - 3D Network-Adjustment

2. Mathematical Model

• Tectonic plate rotation of all epochs to one reference time (fixed networks)

)t,t,(t zyxtxx Ep0

)cos()(sin(dt

dLB

2.3 Transformations

• In case of free networks, an automatical S-Transformation is calculated to get an compareable network datum for all epoches

)sin()cos(dt

dLB

))cos()tan( B

2. Mathematical Model

• Model of a multiepochal and multivariate, coordinate depending deformation analysis

3 Ep Obj,

2 Ep Obj,

1 Ep Obj,

DefRef,

3 Ep Obj,

3 Ep Ref,

2 Ep Obj,

2 Ep Ref,

1 Ep Obj,

1 Ep Ref,

3 Ep Obj,

3 Ep Ref,

2 Ep Obj,

2 Ep Ref,

1 Ep Obj,

1 Ep Ref,

3 Ep Obj,

3 Ep Ref,

2 Ep Obj,

2 Ep Ref,

1 Ep Obj,

1 Ep Ref,

ˆ

ˆ

ˆ

ˆ

000

000

000

000

000

000

x

x

x

x

I

A

I

A

I

A

v

v

v

v

v

v

l

l

l

l

l

l

2.4 Step 3 - Deformation Analysis

2. Mathematical Model

• Expension of the mathematical model

)i(Ep)i(Ep)i(Ep)i(Ep kkkkˆˆ xBxAvl

i-th reference point in the k-th epoch )i(Ep k

Deformation values of all reference points

m-rm,20.post

)i(Ep1

ˆˆT

)i(EpF~

σ̂m

ˆˆT

k)ki(Ep)ki(Epk

xQxxx

• Testvalue for the reference points

If a significant deformation is found,

a new deformation analysis is calculated

(iterative datasnooping process)

2. Mathematical Model

Further calculations• Multiple coordinate differences• 3D/2D confidence areas• Network sensivity• Object point tests• Epoch tests

2. Mathematical Model

• Time series

2.5 Further analysis

• Kalman filtering

t)-t(u

t)-t(u

t)-u(t

I00

tI0

t5.0tI

t)(u

t)(u

u(t)

..

.

2

..

.

3. MONIKA Software

Overview

3. MONIKA Software

3. MONIKA Software

3.1 Data interfaces

3.2 Baseline processing• WA1 (Wanninger Software), directly supported

• Bernese 5.0, supported via SINEX-Interface

• other baseline processing software

Interfaces:• RINEX-Data• SINEX-Data• free ASCII-Interfaces

(Baselines, Epochdata, ...)

3. MONIKA Software

• Input-Data– Sessions/Baselines– SINEX-Data

with timestamps

Expected deformations?

3.3 Epoch definition

3. MONIKA Software

• Input-Data– Sessions/Baselines– SINEX-Data– Epoch timespan

• 3D Epoch adjustment

with GPS3D

• Output-Data– Coordinates with covariance matrix (epoch)– Detailed HTML-protocol and visualization

3.4 Epoch adjustment

3. MONIKA Software

Necessary when large GNSS-networks

or a long timespan is calculated

3.5 Plate rotation

3. MONIKA Software

• Input-Data– Epochs (free interface)

• Deformation Analysis– Iterative datasnooping– Final deformation analysis

• Output-Data– Coordinates, Cxx matrix– GOCA-Interface– Visualization– Time series– HTML-Protocol– GoogleEarth

3.6 Deformation Analysis

3. MONIKA Software

Overview

3. MONIKA Software

• Automatic epoch generation– Input: SINEX-Data– Output: Epochs

• Automatic deformation analysis calculation– Input: Epochs– Output: Solutions are saved in a MONIKA-Savefile,

HTML-Protocol, individual Interface-Files

• Automatic visualisation (GOCA-Earth, Addon)– Input: Interface file– Output: Visualisation in GoogleEarth

3.7 Automatications

+ flexible folder-based file handling

4. SAPOS-BW 2008 Solutions

4. SAPOS-BW 2008GNSS reference network in Germany Baden-Württemberg

- area:

200 x 200 km

- 36 stations

- free network

4. SAPOS-BW 2008 Solutions

4. SAPOS-BW 2008horizontal sensitivity ~ 2 mm

seasonal movement in the summer months

4. SAPOS-BW 2008 Solutions

4. SAPOS-BW 2008vertical sensitivity ~ 6 mm

displacement because of an antenna change

5. EUREF 2008 Solutions

5. EUREF 2008EUREF Reference Network

- area:

~ 4000x3000 km

- ~74 stations

- fixed network

5. EUREF 2008 Solutions

5. EUREF 2008

horizontal confidence belt ~ 2 - 5 mm, POUS (Poustka, CZ)

5. EUREF 2008 Solutions

5. EUREF 2008KARL (Karlsruhe, DE), light seasonal movement

spring 2008 summer 2008 winter 2008

6. Further Developments

6. Further Developments• GNSS-based longterm monitoring of geodynamic active earthquake zones

• Implementation of virtual sensors

• More complex modelsfor ex. deformation of point groups and areas

Basel, 1356

MONIKA

MONIKA

End

Thank you for your attention !

Any questions?