New Migration Deconvolution Filters Jianhua Yu University of Utah.

New Migration New Migration Deconvolution FiltersDeconvolution Filters

Jianhua YuJianhua Yu

University of UtahUniversity of Utah

ContentsContentsMotivation: MD Prob. & Soln.

New MD Filters

Numerical Examples

Summary

ContentsContentsMotivationNew MD Filters

Numerical Examples

Summary

Motivation New MD Filters Examples Summary

Migration Deconvolution

mrG GT

Migration imageReflectivity

Migration Modeling


Migration Green’s function


mrG GT

G GT -1

][ G GT -1

][

11



mr

G GT -1

][

1


Migration Deconvolution Problems

mr G GT -1

][

For moderately complex models

V(z) assumption

Migration Green’s function based on ray theory


Migration Deconvolution Solution

mr G GT -1

][


Replace G by a 1. WE Propagator2. Gaussian Beam Propagator3. Beylkin Inverse Determinant


Numerical Examples

Summary


Fourier Finite Difference MD

mr G GT -1

][


sgsoogsg rdrdrrGrrGrrGrrG )()()()( ** ][

22

2

2

)1( yxz KKai

vK

Gaussian Beam MD

mr G GT -1

][


sgsoogsg rdrdrrGrrGrrGrrG )()()()( ** ][

] de ti

),,(~

)(Re[1

),|(

rrUFtrG rg s g s

Beylkin Deblurring

mr G GT -1

][


)(v x

),()( rs,rs, De i

|),(| h x )(),(8

)( 23

0

FdA

drs

xr


Numerical Examples

Discussion & Conclusions


Beylkin

FFD MD

Gaussian Beam MD Kirchhoff MD

Kirchhoff Mig


WE MD


X (km)0

3

Y (km)

03

3

Y (km)

0

3

Y (km)

0

Kirchhoff MD


X (km)0

3

Y (km)

03

3

Y (km)

0

3

Y (km)

0

X (km)0 203

10

Dep

th (

km

)


Migration Image by FFD

X (km)0 203

10

Dep

th (

km

)Wave Equation Migration


X (km)0 203

10

Dep

th (

km

)Wave Equation Migration after Kirch. MD


X (km)0 203

10

Dep

th (

km

)


Wave Equation Migration after Beam MD

X (km)0 202.5

10

Dep

th (

km

)


Wave Equation Migration (AGC)

X (km)0 202.5

10

Dep

th (

km

)Wave Equation migration after Kirch MD (AGC)


X (km)0 202.5

10

Dep

th (

km

)


Wave Equation migration after Kirch MD (AGC)

10

Dep

th (

km

)

Beam MD

No AGC

No AGC


WE Mig

5

10

Dep

th (

km

)WE Mig.

Beam MD

AGC

AGC



Numerical Examples

Summary


SummarySummary

Beylkin inverse determinant for moderate complex structure

Cost: WEMD >> Beam MD

WEM+BMD for subsalt imaging

Quality: Beam MD = WE MD

Quality: Beam MD >> Kirch. MD

Thanks toThanks to2003 UTAM Sponsors

SMAART Joint Venture

Alan Leeds (ChevronTexaco)

CHPC

New Migration Deconvolution Filters Jianhua Yu University of Utah.

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