super-virtual interferometric diffractions as guide stars

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Super-virtual Interferometric Diffractions as Guide Stars Wei Dai 1 , Tong Fei 2 , Yi Luo 2 and Gerard T. Schuster 1 1 KAUST 2 Saudi Aramco Feb 9, 2012

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Super-virtual Interferometric Diffractions as Guide Stars. Wei Dai 1 , Tong Fei 2 , Yi Luo 2 and Gerard T. Schuster 1. 1 KAUST 2 Saudi Aramco. Feb 9 , 2012. Outline. Introduction Super-virtual stacking theory Synthetic data examples Field data examples Summary. Introduction. - PowerPoint PPT Presentation

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Page 1: Super-virtual  Interferometric  Diffractions as Guide Stars

Super-virtual Interferometric Diffractions as Guide Stars

Wei Dai1, Tong Fei2, Yi Luo2 and Gerard T. Schuster1

1 KAUST 2 Saudi Aramco

Feb 9, 2012

Page 2: Super-virtual  Interferometric  Diffractions as Guide Stars

Outline• Introduction

• Super-virtual stacking theory

• Synthetic data examples

• Field data examples

• Summary

Page 3: Super-virtual  Interferometric  Diffractions as Guide Stars

Introduction• Diffracted energy contains valuable information

about the subsurface structure.• Goal: extract diffractions from seismic data and

enhance its SNR.

Page 4: Super-virtual  Interferometric  Diffractions as Guide Stars

Previous Work• Reciprocity equation of correlation and convolution

types (Wapenaar et al., 2004).

• Diffracted waves detection (Landa et al., 1987)

• Diffraction imaging (Khaidukov et al.,

2004;Vermeulen et al., 2006; Taner et al., 2006; etc)

Page 5: Super-virtual  Interferometric  Diffractions as Guide Stars

Flip

Guide Stars

Page 6: Super-virtual  Interferometric  Diffractions as Guide Stars

Outline• Introduction

• Super-virtual stacking theory

• Synthetic data examples

• Field data examples

• Summary

Page 7: Super-virtual  Interferometric  Diffractions as Guide Stars

Step 1: Virtual Diffraction Moveout + Stacking

y zw3

dt

w2 w1 y z

y’

dt

dt

dt

w

y z

y’

=

Benefit: SNR = N

Page 8: Super-virtual  Interferometric  Diffractions as Guide Stars

Step 2: Dedatum virtual diffraction to known surface position

y z

y’

y zx y zx

=*

Convolution to restore diffractions

y zx

=

y z

y’

y zx

*

Page 9: Super-virtual  Interferometric  Diffractions as Guide Stars

Stacking Over Geophone Location

x zDesired shot/

receiver combination

Common raypaths

Benefit: SNR = N

Page 10: Super-virtual  Interferometric  Diffractions as Guide Stars

Super-virtual Diffraction Algorithm

=w z

1. Crosscorrelate and stack to generate virtual diffractions

w

w z w z

Virtual srcexcited at -tzz’ z’

Benefit: SNR = N

=*2. Convolve and stack to generate super-virtual diffractions

w z w z

w

z

Page 11: Super-virtual  Interferometric  Diffractions as Guide Stars

WorkflowRaw data

Select a master trace

Cross-correlate to generate virtual diffractions

Repeat for all the shots and stack the result to give virtual diffractions

Convolve the virtual diffractions with the master trace

Stack to generate Super-virtual Diffractions

dt

dt

dtw=

=*

Page 12: Super-virtual  Interferometric  Diffractions as Guide Stars

Outline• Introduction

• Super-virtual stacking theory

• Synthetic data examples

• Field data examples

• Summary

Page 13: Super-virtual  Interferometric  Diffractions as Guide Stars

Synthetic Results: Fault Model

0 X (km) 6

0Z

(k

m)

3

3.4

1.8

km/s

Page 14: Super-virtual  Interferometric  Diffractions as Guide Stars

Synthetic Shot Gather: Fault Model

0 Offset (km)

2

0Ti

me

(s)

3

Diffraction

Shot at Offset 0.2 km

Page 15: Super-virtual  Interferometric  Diffractions as Guide Stars

Synthetic Shot Gather: Fault Model

0.5

Tim

e (s

)1.

5

Windowed Data

0 Offset (km) 2

0.5

Tim

e (s

)1.

5

Median Filter

0 Offset (km) 2

Our Method

0.5

Tim

e (s

)1.

5

0 X (km) 6

0Z

(k

m)

3

Page 16: Super-virtual  Interferometric  Diffractions as Guide Stars

Estimation of Statics

0 Offset (km) 2

0.5

Tim

e (s

)1.

0

Picked Traveltimes

Predicted Traveltimes

Estimate statics

Page 17: Super-virtual  Interferometric  Diffractions as Guide Stars

Outline

• Introduction

• Super-virtual stacking theory

• Synthetic data examples

• Field data examples

• Summary

Page 18: Super-virtual  Interferometric  Diffractions as Guide Stars

Experimental Cross-well Data

0 Depth (m) 300

0.3

Tim

e (s

)1.

0

180 Depth (m) 280

0.6

Tim

e (s

)0.

9

Picked Moveout0.

6Ti

me

(s)

0.9

180 Depth (m) 280

Page 19: Super-virtual  Interferometric  Diffractions as Guide Stars

Experimental Cross-well Data

180 Depth (m) 280

0.6

Tim

e (s

)0.

9

180 Depth (m) 280

0.6

Tim

e (s

)0.

9

Median Filter

Time Windowed

180 Depth (m)

0.6

Tim

e (s

)0.

9

280

Super-virtual Diffractions

Page 20: Super-virtual  Interferometric  Diffractions as Guide Stars

Experimental Cross-well Data

0 Depth (m) 300

0.3

Tim

e (s

)1.

0

180 Depth (m) 280

0.6

Tim

e (s

)0.

9

Super-virtual Diffraction0.

6Ti

me

(s)

0.9

Median Filtered

180 Depth (m) 280

Page 21: Super-virtual  Interferometric  Diffractions as Guide Stars

Diffraction Waveform Modeling

Born

Modeling

0 Distance (km) 3.8

0D

epth

(km

)1.

20

Dep

th (k

m)

1.2

0Ti

me

(s)

4.0

0 Distance (km) 3.8

Velocity

Reflectivity

Page 22: Super-virtual  Interferometric  Diffractions as Guide Stars

Diffraction Waveform Inversion

0 Distance (km) 3.8

0D

epth

(km

)1.

20

Dep

th (k

m)

1.2

Initial Velocity

Estimated Reflectivity

0D

epth

(km

)1.

2

Inverted Velocity

0 Distance (km) 3.8

0D

epth

(km

)1.

2

True Velocity

Page 23: Super-virtual  Interferometric  Diffractions as Guide Stars

Outline• Introduction

• Super-virtual stacking theory

• Synthetic data examples

• Field data examples

• Summary

Page 24: Super-virtual  Interferometric  Diffractions as Guide Stars

Summary• Super-virtual diffraction algorithm can greatly improve

the SNR of diffracted waves..

Limitation• Dependence on median filtering when there are other coherent

events.• Wavelet is distorted (solution: deconvolution or match filter).

Page 25: Super-virtual  Interferometric  Diffractions as Guide Stars

Acknowledgments

We thank the sponsors of CSIM consortium for their financial support.