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InSAR Error Analysis in Measuring Coseismic Deformation of 2008 ...

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<strong>InSAR</strong> <strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> Measur<strong>in</strong>g<br />

<strong>Coseismic</strong> <strong>Deformation</strong> <strong>of</strong> <strong>2008</strong><br />

Damxung M w 6.3 Earthquake<br />

Zhang J<strong>in</strong>gfa Liu B<strong>in</strong> and Lu Yi<br />

Institute <strong>of</strong> Crustal Dynamics, Ch<strong>in</strong>a Earthquake Adm<strong>in</strong>istration<br />

100085, Beij<strong>in</strong>g, Ch<strong>in</strong>a


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


Geological & Seismological Features<br />

October 6, <strong>2008</strong>,<br />

Damxung Earthquake<br />

The Mw6.3 earthquake,<br />

located: 90.3E, 29.8N (CENC),<br />

Depth: 8.0 km.


Geological & Seismological Features


Geological & Seismological Features


Geological & Seismological Features


Geological & Seismological Features


Geological & Seismological Features


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


Descend<strong>in</strong>g path<br />

Strip T176


Ascend<strong>in</strong>g path<br />

Strip T26


Numerical Simulation<br />

Surface deformation and stress<br />

distribution<br />

<strong>of</strong> the Dumxung earthquake<br />

(Ux: deformation <strong>of</strong> NS; Uy: WE;<br />

Uz: vertical;<br />

Sxx: normal stress <strong>of</strong> NS;<br />

Syy: WE;Sxy: shear)


Numerical Simulation<br />

Horizontal surface displacement <strong>of</strong> Dumxung earthquake. Left: Vertical<br />

displacement <strong>of</strong> co-seismic deformation(mm); Right:Post-seismic<br />

deformation rate 50 years after the earthquake(mm/a)


Numerical Simulation<br />

Vertical displacements.<br />

Left: co-seismic deformation<br />

(mm);<br />

Right: deformation rate after<br />

50 years (mm/a)


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


• The best result <strong>of</strong> Damxung Earthquake D-<br />

<strong>InSAR</strong> image was taken as standard, and some<br />

error factors will be studied accord<strong>in</strong>g to this<br />

base image.


The ma<strong>in</strong> <strong>in</strong>fluence factors <strong>in</strong> <strong>InSAR</strong> process<strong>in</strong>g<br />

Registration <strong>Error</strong><br />

Unwrapp<strong>in</strong>g methods<br />

Atmospheric path delays<br />

Basel<strong>in</strong>e error


Registration <strong>Error</strong> Between Master and Slave<br />

0 pixel deviation<br />

Interferogram Coherence


Registration <strong>Error</strong> Between Master and Slave<br />

0.5 0 pixel deviation<br />

Interferogram Coherence


Registration <strong>Error</strong> Between Master and Slave<br />

1 pixel deviation<br />

Interferogram Coherence


Registration <strong>of</strong> Master & Slave<br />

1.5 pixel deviation<br />

Interferogram Coherence


Registration <strong>Error</strong> Between Master and Slave<br />

5 pixel deviation<br />

Interferogram Coherence


Registration <strong>Error</strong> Between Master and Slave<br />

The relations between coherence and pixel deviations


Before deviat<strong>in</strong>g from the correct<br />

location about 1.5 pixels, there is a<br />

s<strong>in</strong>e function between coherence<br />

and step, while exceed<strong>in</strong>g 1.5<br />

pixels, the result will be unvalued.


Registration <strong>Error</strong> Between Master and DEM<br />

Orig<strong>in</strong>al images 5 pixels deviation 10 pixels deviation


This is Registration <strong>Error</strong> Between Master<br />

and DEM, from this image, the<br />

deformation accuracy is related to<br />

registration error.


Comparison <strong>of</strong> different unwrapp<strong>in</strong>g methods<br />

network flow<br />

branch cut<br />

m<strong>in</strong>imum discont<strong>in</strong>uity<br />

least-squares fr<strong>in</strong>ge track<strong>in</strong>g<br />

Conjugate Gradient


Comparison <strong>of</strong> different unwrapp<strong>in</strong>g methods<br />

comparative analysis <strong>of</strong> different unwraped methods


It is certa<strong>in</strong>ly that there is<br />

different <strong>in</strong>fluence degree<br />

<strong>in</strong> different unwrapp<strong>in</strong>g<br />

methods.


Topography correct atmospheric path delays<br />

Atmospheric path delays caused by topography<br />

Before correction<br />

After correction<br />

Descend<strong>in</strong>g path:<br />

T176


Topography correct atmospheric path delays<br />

Ascend<strong>in</strong>g path:T026<br />

Before correction After correction


Atmospheric path delays caused by topography<br />

Before correction<br />

Topography correct atmospheric path delays<br />

After correction<br />

Ascend<strong>in</strong>g path:<br />

WS T441 H/V


lhaz-GPS station<br />

Relations <strong>of</strong> GPS-PWV and MODIS-PWV<br />

L<strong>in</strong>ear relationship between GPS-PWV<br />

and MODIS-PWV, the <strong>in</strong>tegration <strong>of</strong> two<br />

data can correct atmospheric path delay<br />

<strong>of</strong> <strong>InSAR</strong>!<br />

ncrs-GPS station


The relation between atmospheric path delays<br />

and topography <strong>in</strong> Damxung area, there is a<br />

l<strong>in</strong>ear function.<br />

That is, the path delays vary l<strong>in</strong>early with height<br />

as a first-order approximation.


Effects <strong>of</strong> basel<strong>in</strong>e ref<strong>in</strong>ement<br />

T176


Effects <strong>of</strong> basel<strong>in</strong>e ref<strong>in</strong>ement<br />

T26


The effect <strong>of</strong> basel<strong>in</strong>e ref<strong>in</strong>ement is clear.


Basel<strong>in</strong>e deviation -3m<br />

2 专题研究内容 ----理论研究<br />

Basel<strong>in</strong>e is OK<br />

Basel<strong>in</strong>e deviation +3m


Basel<strong>in</strong>e deviation -3m<br />

2 专题研究内容 ----理论研究<br />

Basel<strong>in</strong>e is OK<br />

Basel<strong>in</strong>e deviation +3m


2 专题研究内容 ----理论研究<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0<br />

-0.05<br />

-0.1<br />

-0.15<br />

-0.2<br />

-3 -2 -1 0 1 2 3<br />

C点<br />

A点<br />

B点


The basel<strong>in</strong>e error will reduce the range<br />

<strong>of</strong> deformation field


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


The <strong>Deformation</strong> Rates Time<br />

Series <strong>Analysis</strong><br />

Time series analysis before the earthquake<br />

Time series analysis after the earthquake


Time series analysis before the earthquake<br />

Unwraped images <strong>of</strong> PS po<strong>in</strong>ts Orbital contribution<br />

DEM error<br />

Time series <strong>of</strong> deformation signal<br />

Atmospheric contribution


Time series analysis before the earthquake


Time series analysis before the earthquake<br />

PS-<strong>InSAR</strong> Time series<br />

<strong>of</strong> deformation signals<br />

SBAS-<strong>InSAR</strong> Time series<br />

<strong>of</strong> deformation signals


Time series analysis before the earthquake<br />

PS <strong>InSAR</strong> SBAS <strong>InSAR</strong>


Time series analysis before the earthquake<br />

PS <strong>InSAR</strong>


Time series analysis before the earthquake<br />

Standard deviations <strong>of</strong> the selected po<strong>in</strong>ts<br />

<strong>in</strong> 8 areas<br />

区域 A<br />

区域 B<br />

区域 C<br />

区域 D<br />

区域 E<br />

区域 F<br />

区域 G<br />

区域 H<br />

Lon Lat<br />

mean_v<br />

(mm/year)<br />

90.482 30.075 -6.74 0.61<br />

90.488 30.072 -7.78 0.76<br />

90.314 30.059 3.00 0.75<br />

90.310 30.059 2.33 0.69<br />

90.446 30.101 2.53 0.75<br />

90.464 30.121 3.30 0.72<br />

90.394 29.875 2.05 0.66<br />

90.384 29.887 1.63 0.53<br />

90.325 29.936 -1.04 0.49<br />

90.314 29.952 -1.73 0.45<br />

90.252 30.165 -3.82 1.62<br />

90.313 30.121 -1.92 1.15<br />

90.575 29.975 -4.21 1.5<br />

90.598 29.980 -3.93 1.44<br />

90.207 29.995 2.3 1.48<br />

90.201 29.994 3.16 1.48<br />

Std<br />

(mm/year)


Time series analysis before the earthquake<br />

SBAS <strong>InSAR</strong>


Time series analysis before the earthquake<br />

Standard deviations <strong>of</strong> the selected po<strong>in</strong>ts <strong>in</strong> 8<br />

areas<br />

区域 A<br />

区域 B<br />

区域 C<br />

区域 D<br />

区域 E<br />

区域 F<br />

区域 G<br />

区域 H<br />

Lon Lat<br />

mean_v<br />

(mm/year)<br />

Std<br />

(mm/year)<br />

90.487 30.072 -7.20 0.62<br />

90.485 30.071 -7.23 0.65<br />

90.317 30.059 2.06 0.43<br />

90.317 30.06 2.28 0.29<br />

90.463 30.127 3.64 0.66<br />

90.464 30.125 3.15 0.54<br />

90.387 29.876 1.84 0.41<br />

90.381 29.881 2.21 0.45<br />

90.312 29.930 -1.11 0.33<br />

90.31 29.934 -0.98 0.32<br />

90.31 30.121 -6.08 0.6<br />

90.296 30.134 -5.93 0.82<br />

90.574 30.15 -4.21 0.86<br />

90.577 30.076 -2.07 0.78<br />

90.209 29.986 2.21 0.76<br />

90.217 29.984 3.68 0.85


The deformation rates from SBAS-<strong>InSAR</strong> and PS-<br />

<strong>InSAR</strong> time series analysis are consistent with<br />

each other.<br />

Obviously, the velocity <strong>in</strong> the edge <strong>of</strong> the bas<strong>in</strong><br />

is bigger than the place <strong>in</strong> the flat area.<br />

The maximum upward velocity reached<br />

3.1mm/year (LOS) and the maximum downward<br />

velocity reached -7.4mm/year (LOS).


In the north <strong>of</strong> the bas<strong>in</strong>, there is an area <strong>of</strong><br />

great downward trend. The reason is that<br />

there is one big geothermic plant and the<br />

pump<strong>in</strong>g <strong>of</strong> the geothermic cause the great<br />

ground subsidence


Time series analysis before the earthquake<br />

去噪后年形变速率(LOS)<br />

PS-meanv SBAS-meanv


Time series analysis before the earthquake<br />

PS mean_v l<strong>in</strong>es plot


Time series analysis before the earthquake<br />

SBAS mean_v l<strong>in</strong>es plots


Time series analysis before the earthquake<br />

The activities <strong>of</strong> faults <strong>in</strong> Yangbaj<strong>in</strong>g Bas<strong>in</strong><br />

A: -5~-8mm/a<br />

B:3~5mm/a<br />

C:-1.5~2.0mm/a


Time series analysis after the earthquake<br />

Damxung<br />

earthquake


Because <strong>of</strong> the impact <strong>of</strong> the<br />

aftershocks, <strong>in</strong> epicenter <strong>of</strong><br />

Damxung, there is still ground<br />

subsidence.


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


CONTENTS<br />

Geological & Seismological Background<br />

<strong>Coseismic</strong> <strong>Deformation</strong> Measurement<br />

<strong>Error</strong> <strong>Analysis</strong> <strong>in</strong> <strong>InSAR</strong> Process<strong>in</strong>g<br />

The <strong>Deformation</strong> Rates Time Series <strong>Analysis</strong><br />

Conclusions


Conclusions<br />

1. The major perturb<strong>in</strong>g factors limit<strong>in</strong>g D-<strong>InSAR</strong> accuracy<br />

is as follows:<br />

(a)Registration between master image to slave;<br />

(b)Orbit <strong>Error</strong>;<br />

(c)Atmospheric propagation delay.


Conclusions<br />

2. The velocity <strong>in</strong> the edge <strong>of</strong> the bas<strong>in</strong> is bigger than the<br />

place <strong>in</strong> the flat area.<br />

In the epicenter <strong>of</strong> Damxung, there is still ground<br />

subsidence <strong>in</strong> a long time after the earthquake.

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