1. Overview of SEP research Paul Sava

2. The problem Modeling operator Seismic image Seismic data

3. Migration Migration operator Seismic image Seismic data

4. Migration operator: wavefield propagation Downward continuation –Common-azimuth migration –Narrow-azimuth migration Reverse time migration Propagation Imaging Amplitudes Velocity

5. Downward continuation Narrow- azimuth Common- azimuth Biondi, 2003

6. Reverse-time migration Biondi & Shan, 2002 Downward- continuation Reverse-time migration

7. Migration operator: angle-gathers Data-space Prucha et al Image-space Sava&Fomel, Tisserant&Biondi (S-G) Rickett&Sava (shot profile) Rosales&Rickett (converted waves) Biondi&Shan (reverse-time) Propagation Imaging Amplitudes Velocity

8. Prucha et. Al (1999), Sava&Fomel (2002) Angle-domain common image gathers Data-space ADCIG Image space ADCIG

9. 3-D angle gathers Tisserant & Biondi (2003)

10. Migration operator: amplitudes Amplitude preserving wavefield extrapolation Sava & Biondi Amplitude corrections of extrapolation operators Vlad et. al Hi resolution imaging condition Valenciano & Biondi Propagation Imaging Amplitudes Velocity

11. Amplitude-preserving migration Sava & Biondi (2002) Amplitude preserving Kinematic migration

12. Migration operator: velocity Traveltime-based Clapp Wavefield-based Sava & Biondi Propagation Imaging Amplitudes Velocity

13. Angle-domain traveltime tomography Clapp (2001)

14. Tomography: geological constraints Clapp (2001) 1-.4 -.6

15. Wave-equation MVA Slowness perturbation Image perturbation Sava & Biondi (2003)  z  z xx

16. Wave-equation MVA Sava & Biondi (2003)

17. Multiple attenuation –Data space –Image space Multiple imaging Joint imaging

18. 2.6 5. Time (s) Input data Hyperbolic Radon Adaptive filtering Pattern recognition Multiple attenuation: data space Guitton (2003)

19. PRT image space HRT data space Multiple attenuation: image space Sava & Guitton (2003)

20. Multiple imaging Multiple attenuation –Data space –Image space Multiple imaging Joint imaging

21. Multiple imaging: shot-profile migration Guitton (2002) Up-going wavefield Down-going wavefield PrimariesImpulse Up-going wavefield Down-going wavefield MultiplesPrimaries Primaries imagingMultiples imaging

22. Multiple imaging: S-G migration Shan (2003)

23. Joint imaging Multiple attenuation –Data space –Image space Multiple imaging Joint imaging

24. Brown (2003) S G

25. Migration Migration operator Seismic image Seismic data

26. Inversion operator Least-squares imaging Seismic image Seismic data

27. Least-squares imaging Normalized migration Matching filters Least-squares inverse Multiple realizations Illumination compensation Rickett (2001) Prucha (2003)

28. Normalized migration Rickett (2003)

29. Least-squares imaging Guitton (2003) Normalized migration Matching filters Least-squares inverse Multiple realizations (L*L) data L* L*L B Find B such that

30. Imaging with mathching filters Guitton (2003)

31. Least-squares inverse Normalized migration Matching filters Least-squares inverse Multiple realizations

32. Regularization z-x preconditioning z x z-p h preconditioning z phph Prucha (2003)

33. Regularized inversion Prucha (2003) Least-squares inverse Migration

34. Multiple realizations Normalized migration Matching filters Least-squares inverse Multiple realizations

35. Multiple realizations: interpolation Clapp (2002)

36. Multiple realizations: velocity Clapp (2002)

37. http://sepwww.stanford.edu Reports (all online) Seplib Computers: 4 clusters 3D real data