Salt Flank Delineation by Interferometric Imaging of Transmitted P-to-S Waves Xiang Xiao Advisor:...

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Salt Flank Delineation by Interferometric Imaging of Transmitted P-to-S Waves

Xiang Xiao

Advisor: Gerard T. SchusterCommittee: Michael Zhdanov Bob Smith Cari Jonson

Univ. of UtahNov. 15

MS thesis

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

I. Motivation

• Goal:– Salt Flank Imaging with Migration of Transmitted P-to-S Waves;

• Method:

– Standard Migration (KM);

– Reduced-time Migration (RM), Sheley and Schuster, 2003;

– Interferometric Migration (IM), and Interferometric Redatuming (IR), Schuster, 2004;

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

X

eei wi w ((tt + t+ t))––

ww,s,,s,MMm(x) =m(x) = d(M|d(M|ss)) sxsx xxMM

Standard Kirchhoff Migration:

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

XReduced-time migration:

eei wi w ((tt + t + t+ t + t))––

ww,s,,s,MMm(x) =m(x) = d(M|d(M|ss)) sxsx xxMM errorerror

~( ~( t t + t )- + t )- ( ( t t + t )+ t )sxsx xgxg

pickpickpickpick

sxsx xgxg

errorerrortt sxsx xxMM=( =( t t + + tt )- )- ( ( t t + + tt ) )pickpickpickpick

sxsx xxMM

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

d(M|d(M|ss)) d(g|s)*d(g|s)*((gg,,MM) =) =

~ e ~ e eei wi w t + t + i wi w tt -i w-i w t - t - i wi w tt

PPSS PPPP

== e ei wi w ((t t –– tt))

Interferometric migration:

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

ss

d(M|d(M|ss)) d(g|s)*d(g|s)*((gg,,MM) = ) =

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

ss

d(M|d(M|ss)) d(g|s)*d(g|s)*((gg,,MM) = ) =

MM

gg

Uninteresting PartUninteresting Part of Mediumof Medium

ss

TimeTime

PP

d(M|d(M|ss))

d(g|s)d(g|s)PPPP

PPSS

ss

d(M|d(M|ss)) d(g|s)*d(g|s)*((gg,,MM) = ) =

Goal: Image Interface by PS Transmitted WavesGoal: Image Interface by PS Transmitted Waves

Unique Specular Point Snell’s Law OKUnique Specular Point Snell’s Law OK

eei wi w ((t t –– tt))––

w,g,w,g,MM

((gg,,MM) ) m(x) =m(x) = xxMM xgxg

Datuming

MigrationX

Interferometric PS DatumingInterferometric PS Datuming

g,g,MM

((gg,,MM) ) m(x) =m(x) = eei wi w ((t t –– tt))––

xx xx

Eliminates src/rec statics and Eliminates src/rec statics and uninteresting parts of the medium.uninteresting parts of the medium.

Move surface src to interesting inter.Move surface src to interesting inter.

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

III. Numerical Tests

I. Rugose Lower Salt Boundary

II. Elastic Salt Model

Salt Velocity ModelSalt S-wave Velocity ModelSalt P-wave Velocity Model

Dep

th

(m)

X (m)X (m) m/s m/s

III. Numerical test

P-to-S ratios = 30.5

0

12000 1200

4400

20000 1200

2540

1170

VSP Gathers

Time (s)

PS Waves Shot @ (0,0)

Time (s)

P Wave Shot @ (0,0)

Dep

th

(m)

III. Numerical test

Interferometric PS DatumingInterferometric PS Datuming

g,g,MM

((gg,,MM) ) m(x) =m(x) = eei wi w ((t t –– tt))––

xx xx

Eliminates src/rec statics and Eliminates src/rec statics and uninteresting parts of the medium.uninteresting parts of the medium.

Move surface src to interesting inter.Move surface src to interesting inter.

Synthetic vs. Redatuming Data

Time (s)

S-P Data from IR

Time (s)

Synthetic S-P SWI Data

Dep

th

(m)

III. Numerical test

KM vs. IM with Correct Velocity Model

IMKM

Dep

th

(m)

X (m)X (m)

III. Numerical test

0

12000 1200

963

13130 1200

7E4

-8E4

KM, RM vs. IM

Constant Static Shift in Data

Each Trace Advances 8 ms

III. Numerical test

KMD

epth

(m

)

X (m)

0

1200

0 1200

400

-700

Incorrectly imagedBoundary is shifted

III. Numerical test

RMD

epth

(m

)

X (m)

0

1200

0 1200

850

-950

Correctly imaged

Poor focused

III. Numerical test

IMD

epth

(m

)

X (m)

0

1200

0 1200

7E4

-8E4

Correctly imaged

Strong focused!Small cover of PS ray

Additionally imaged

III. Numerical test

ComparisonD

epth

(m

)

X (m)

0

1200

0 1200

KMRM

IM

III. Numerical test

Incorrect Migration Model

KM, RM vs. IM

90% Velocity Above Salt

III. Numerical test

KMD

epth

(m

)

X (m)

0

1200

0 1200

850

-1000

Correct place

Incorrectly imaged

III. Numerical test

RMD

epth

(m

)

X (m)

0

1200

0 1200

850

-1000

Incorrectly imaged,Should image as black boundary

Correctly imaged

III. Numerical test

Elliptical artifacts

IMD

epth

(m

)

X (m)

0

1200

0 1200

4E4

-6E4

Correctly imaged

Correctly imaged!

III. Numerical test

Elliptical artifacts are removed

Comparison

KMRM

IM

Dep

th

(m)

X (m)

0

1200

0 1200

III. Numerical test

II. Elastic Salt Model

P-wave velocity model0

Dep

th (

m)

11000

0 16000X (m)

Velocity (m/s)

4500

1500

Gas target lower boundary

a) P-wave velocity model b) S-wave velocity model0

Dep

th (

m)

110000 16000X (m)

0 16000X (m)

0

Dep

th (

m)

11000

0

12

c) CRG 1 X-component d) CRG 1 Z-component

Shot number

Tim

e (s

)

0 319Shot number

0 319

0

12

Tim

e (s

)

a) Ray tracing: direct P b) Ray tracing: PPS events0

Dep

th (

km)

110 16X (km) 0 16X (km)

0

Dep

th (

km)

11

c) Ray tracing: PSS events0

Dep

th (

km)

110 16X (km)

a) PP Standard Migration b) PS Standard Migration0

Dep

th (

m)

11000

5000

8000

0 16000X (m)

c) Zoom View of PS KM d) Zoom View of PS IM

X (m)

0 16000X (m)

0

Dep

th (

m)

11000

Dep

th (

m)

6900 8700

5000

8000

X (m)

Dep

th (

m)

6900 8700

PS IM

PS interferometric migration

X (m)

Dep

th (

m)

0 8000 16000

0

3000

6000

9000

Correctly imaged!

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

IV. Field Data

D

epth

(m

)

Offset (m)4878

0 1829

0

Well and Source Location

Source @150 m offset

P-to-S ratios = 2.7

Velocity ProfileS WaveP Wave

Dep

th

(m)

Velocity (m/s)

0

45000 5000 0 5000

2800 m

3200 m

Salt

IV. Field Data

Incorrect velocity model

P-to-S ratios = 1.6

150 Z ComponentD

epth

(m

)

Traveltime (s)

2652

3887

1.2 3.0

Salt

Direct P

Reflect P

Alias (Reverberation)

IV. Field Data

150 X ComponentD

epth

(m

)

Traveltime (s)

2652

3887

1.2 3.0

Salt

Direct P

Reflect P

Alias (Reverberation) Direct S

IV. Field Data

Processing Flow ChartOriginal Data

Reoriented

Pick desired events

Flatten, median filter, unflatten

Migration (KM, RM, IM)

Dep

th

(m)

Traveltime (s)

2652

3887

1.2 3.0

IV. Field Data

150 X Before Rotation

Dep

th

(m)

Traveltime (s)

2652

3887

1.2 3.0

IV. Field Data

150 X After RotationP wave energy was maximized

Dep

th

(m)

Traveltime (s)

2652

3887

1.2 3.0

III. Field Data

150 X PSS EventsTransmitted at upper boundary

150 X PPS EventsD

epth

(m

)

Traveltime (s)

2652

3887

1.2 3.0

III. Field Data

Transmitted at lower boundary

Migration of PSS

IV. Field Data

Ray Path Coverage

2000

4200

0 200

Dep

th

(m) SAL

T

Offset (m)

Migration of PSS

IV. Field Data

SALT

150 offset RM 150 offset IM

0 200 0 200Offset (m)

150 offset KM

2000

4200

0 200

Dep

th

(m)

Ray Path Coverage

2000

4200

0 200

Dep

th

(m)

Migration of PPS

IV. Field Data

SALT

Offset (m)

IV. Field Data

Migration of PPS

SALT

150 offset RM 150 offset IM

0 200 0 200

150 offset KM

2000

4200

0 200

Dep

th

(m)

Offset (m)

Outline

I. Motivation

II. Theory

III. Numerical Tests

IV. Field Data Examples

V. Conclusion

IV. Conclusion

• Advantage of PS transmission migration– it is capable of illuminating the boundary of

salt flanks above the receivers (and nearly vertical boundaries if they exist).

IV. Conclusion• Benefits of IM:

– Remove influence of static shifts and/or migration velocity errors;

– Eliminated source statics by correlation;

– Accurately image the salt boundary above the receivers;

• Drawbacks of IM:– Migration artifacts due to violation of stationary phase approximation;

– Extra summations and computation time;

– Small range of incidence angle than true SWI data;

– Worse spatial resolution than KM;

– Does not require knowledge of the overburden velocity;

V. Future Work

• Pp/Ps reflection interferometric migration• Anisotropy migration

– Try different VTI FD synthetic walkaway VSP data set;– Apply it to a real data set;

• Preprocessing:– Reorientation, separation, filtering, statics correction

• Postprocessing:– Deconvolution

• Potential application– Kirchhoff multi arrival migration– Subsalt imaging– Interferometric tomography

Thanks to

• Jerry Schuster and my committee members: Dr. Michael Zhdanov, Dr. Bob smith, Dr. Cari Johnson for their advice and constructive criticism;

• Scott Leaney and Hornby Brian for their help on modeling;

Thanks to

• UTAM friends:– Jianhua Yu for his help on Linux programming;

– Jianming Sheng and Min Zhou for their experiences on interferometric imaging;

– Zhiyong Jiang and Ruiqing He for their help on classes;

– Travis Crosby and all UTAM students for their cheerful attitude; All UTAM sponsors for their support;

• Family– My parents, brother and sister;

• Friends– Liyun Ma, Huajian Yao, Zhaoyu Luo and Meiping Tong,

who encouraged me to continue on with my research.

Questions?