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3D Super-virtual Refraction Interferometry 3D Super-virtual Refraction Interferometry

3D Super-virtual Refraction Interferometry - PowerPoint Presentation

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3D Super-virtual Refraction Interferometry - PPT Presentation

Kai Lu King Abdullah University of Science and Technology Outline Introduction and Motivation Theory conventional SVI with stationary phase integration S ynthetic data example Field data example ID: 384189

data virtual trace super virtual data super trace time 361 stationary phase integration race ynthetic svi field refraction sources

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Slide1

3D Super-virtual Refraction Interferometry

Kai Lu

King Abdullah University of Science and TechnologySlide2

Outline

Introduction and Motivation

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

Conclusion

AcknowledgementSlide3

Outline

Introduction and Motivation

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

Conclusion

AcknowledgementSlide4

B C

A3

dt

A2

A1

dt

dt

1.Stacked

Refractions:

+ Stacking

dt

B C

A

B C

Common Pair Gather

(Dong et al., 2006)

Benefit: SNR = N

d d

AB

AC

~ d

BC

A

virtual

~

2D Super-virtual Interferometry Slide5

2.

De

datum

Virtual Refraction to Known Surface Point

B C

B C

A

B C

A

=

*

=

*

+

d d

AB

AC

~ d

BC

A

src

virtual

real

super-virtual

d d

AB

BC

~ d

AC

B

rec

supervirtual

*

virtual

Raw trace

Virtual trace

(

Calvert+Bakulin

, 2004)

Super-virtual trace

B

rec

A

src

Datuming

De

datuming

2D Super-virtual Interferometry Slide6

2D Super-virtual Interferometry

Theory

and workflow:

Are first arrivals at far-offsets pickable ?

Window around first arrivals and mute near offset

Correlate and stack to generate virtual refractions

Input DataOutput Data

Convolve and stack to generate Super-virtual refractions

N

Ʃ

Ʃ

Raw Data

Super-virtual refraction Data

Windowed Data

Iterative SV

ISlide7

Difficulties from 2D to 3D

Difficulty to find locations of stationary sources and receivers

S

A

1

Unknown Path

Few sources and receiver available

A

2

Limited number of sources and receiversSlide8

Solution

2D: all traces are stationary

3D: stationary phase integration

A

B

Virtual Trace

Virtual Trace

S

1

S

2

S

3

S

n

• • •

 

S

*Slide9

Outline

Introduction and Motivation

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

ConclusionAcknowledgementSlide10

Stationary Phase Integration

Stationary phase analysis (

Bleistein

, 1984) applied to the line integral:

 

 

Applied to SVI:

Virtual trace AB

A

B

S

1

S

2

S

3

S

n

• • •

S

*Slide11

Cross-correlation Type

A

B

CRG A

CRG B

Cross-correlation Results

Ʃ

Correlation of S*A and S*B

Virtual trace AB

Source

1

180

Time (s)

0

4

Source

1

180

Source

1

180

Amplitude

-1

1

S

1

S

1

S

n

SnS*S*Slide12

Virtual Trace Stacking over Source Lines

A

B

S

1

S

2

S

3

S

n

lineN

line1

line2

2D: Stacking over sources:

3

D: Stacking over source lines:

 

 

 

C

A1

B

C

A1

B

C

B

=

A2

A2

A3

A3Slide13

Super Virtual Trace – Convolution Type

A

S

B

1

B

2

B

3Bn



lineNline1line2

2D: Stacking over receivers:

3

D: Stacking over receiver lines:

 

 

 

C

A

B1

C

A

B

C

B1

*

=

B2

B2

B3

B3Slide14

Workflow of 3D SVI

Window around

the targeted refraction

Generate virtual trace AB:

 

Input

Band-pass filtered Data

Output Data

Generate super-virtual trace SA:

 

Stack

generated from different sources

 

Stack

generated from different receiver lines

 

Iterative SV

ISlide15

Outline

Introduction and Motivation

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

ConclusionAcknowledgementSlide16

S

ynthetic Test – Undulating Layer Model

V

1

=1500m/s

V

2

=3000m/s

151 receivers, 76 sources on every line

11 survey linesSlide17

Line1

Line11

S

ynthetic Result

Original data

Data with random noise

Super-virtual refraction

Iterative Super-virtual Refraction

T

race

Time (s)

0

3

1151TraceTime (s)031

151

Trace

Time (s)031151TraceTime (s)

031151Slide18

Outline

Motivation: from 2D to 3D

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

ConclusionAcknowledgementSlide19

x [km]

y [km]

2

14

-2

18

3D OBS Survey Geometry

19

400 m

50 m

50 m

5 m

Sihil

3D OBS data

234 OBS stations

129 source-lines

Irregular geometry.

Map viewSlide20

Field Results 1

Raw data

Band-pass filtered data

Super-virtual result

T

race

Time (s)

0

4

1

361

T

race

Time (s)

0

4

1361TraceTime (s)041

361Slide21

Zoom View Comparison

Zoom view of band-pass filtered

d

ata

Zoom view of super-virtual

d

ata

TraceTime (s)131

361TraceTime (s)1

3

1361

Zoom view of super-virtual data

U

npickableSlide22

Field Results 2

Raw data

Super-virtual result

Iterative Super-virtual

result

T

race

Time (s)041

361TraceTime (s)

04

1361

Trace

Time (s)

0

41361Slide23

Zoom View Comparison

Raw data

Super-virtual result

Iterative Super-virtual

result

T

race

Time (s)041361TraceTime (s)

041

361Trace

Time (s)

04

1

361

U

npickable

UnpickableSlide24

Outline

Introduction and Motivation

Theory: conventional SVI with stationary phase integration

S

ynthetic data example

Field data example

ConclusionAcknowledgementSlide25

Conclusion

We apply

stationary phase integration method

to achieve super-virtual refraction with enhanced SNR in 3D cases.

Iterative method is an option to further improve SNR when super-virtual refraction is still noisy.

A

rtifacts can be produced because of the limited aperture for integration as well as a coarse spacing of sources or receivers.Slide26

Thank you !