New Migration Deconvolution Filters Jianhua Yu University of Utah.

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Presentation transcript:

New Migration Deconvolution Filters Jianhua Yu University of Utah

Contents Motivation: MD Prob. & Soln. New MD Filters Numerical Examples Summary

Contents Motivation New MD Filters Numerical Examples Summary Motivation New MD Filters Examples Summary

Migration Deconvolution m  r GG T Migration imageReflectivity Migration Modeling  Motivation New MD Filters Examples Summary Migration Green’s function

Migration Deconvolution m  r GG T  GG T ][ GG T ][ 1 1 Motivation New MD Filters Examples Summary

Migration Deconvolution m  r  GG T ][ 1 Motivation New MD Filters Examples Summary

Migration Deconvolution Problems m  r GG T ][ For moderately complex models V(z) assumption Migration Green’s function based on ray theory Motivation New MD Filters Examples Summary

Migration Deconvolution Solution m  r GG T ][ Motivation New MD Filters Examples Summary Replace G by a 1. WE Propagator 2. Gaussian Beam Propagator 3. Beylkin Inverse Determinant

Contents Motivation New MD Filters Numerical Examples Summary Motivation New MD Filters Examples Summary

Fourier Finite Difference MD m  r GG T ][ Motivation New MD Filters Examples Summary sgsoogsg rdrdrrGrrGrrGrrG)()()()( **  ][

Gaussian Beam MD m  r GG T ][ Motivation New MD Filters Examples Summary sgsoogsg rdrdrrGrrGrrGrrG)()()()( **  ][   ),,( ~ )(Re[ 1 ),|(   rrUFtrG r gsgs

Beylkin Deblurring m  r GG T ][ Motivation New MD Filters Examples Summary )(vx |),(|  hx   )( ),(8 ) (   Fd A d rs x r

Contents Motivation New MD Filters Numerical Examples Discussion & Conclusions Motivation New MD Filters Examples Summary

Beylkin FFD MD Gaussian Beam MD Kirchhoff MD Kirchhoff Mig Motivation New MD Filters Examples Summary

WE MD Motivation New MD Filters Examples Summary X (km) 0 3 Y (km)

Kirchhoff MD Motivation New MD Filters Examples Summary X (km) 0 3 Y (km)

X (km) Depth (km) Motivation New MD Filters Examples Summary Migration Image by FFD

X (km) Depth (km) Wave Equation Migration Motivation New MD Filters Examples Summary

X (km) Depth (km) Wave Equation Migration after Kirch. MD Motivation New MD Filters Examples Summary

X (km) Depth (km) Motivation New MD Filters Examples Summary Wave Equation Migration after Beam MD

X (km) Depth (km) Motivation New MD Filters Examples Summary Wave Equation Migration (AGC)

X (km) Depth (km) Wave Equation migration after Kirch MD (AGC) Motivation New MD Filters Examples Summary

X (km) Depth (km) Motivation New MD Filters Examples Summary Wave Equation migration after Kirch MD (AGC)

10 Depth (km) Beam MD No AGC Motivation New MD Filters Examples Summary WE Mig

5 10 Depth (km) WE Mig. Beam MD AGC Motivation New MD Filters Examples Summary

Contents Motivation New MD Filters Numerical Examples Summary Motivation New MD Filters Examples Summary

Summary 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 to 2003 UTAM Sponsors SMAART Joint Venture Alan Leeds (ChevronTexaco) CHPC