1. New Migration Deconvolution Filters Jianhua Yu University of Utah

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

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

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

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

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

7. 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

8. 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

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

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

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

12. Beylkin Deblurring m  r GG T ][ Motivation New MD Filters Examples Summary )(vx |),(|  hx   )( ),(8 ) ( 2 3 0   Fd A d rs x r

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

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

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

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

17. X (km) 020 3 10 Depth (km) Motivation New MD Filters Examples Summary Migration Image by FFD

18. X (km) 020 3 10 Depth (km) Wave Equation Migration Motivation New MD Filters Examples Summary

19. X (km) 020 3 10 Depth (km) Wave Equation Migration after Kirch. MD Motivation New MD Filters Examples Summary

20. X (km) 020 3 10 Depth (km) Motivation New MD Filters Examples Summary Wave Equation Migration after Beam MD

21. X (km) 020 2.5 10 Depth (km) Motivation New MD Filters Examples Summary Wave Equation Migration (AGC)

22. X (km) 020 2.5 10 Depth (km) Wave Equation migration after Kirch MD (AGC) Motivation New MD Filters Examples Summary

23. X (km) 020 2.5 10 Depth (km) Motivation New MD Filters Examples Summary Wave Equation migration after Kirch MD (AGC)

24. 10 Depth (km) Beam MD No AGC Motivation New MD Filters Examples Summary WE Mig

25. 5 10 Depth (km) WE Mig. Beam MD AGC Motivation New MD Filters Examples Summary

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

27. 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

28. Thanks to 2003 UTAM Sponsors SMAART Joint Venture Alan Leeds (ChevronTexaco) CHPC