The theory of true amplitude one-way wave equation migration

Acta Geophysica Sinica

Volumn 49, Issue 5, 2006, Pages 1410-1430

  Zhang, Yu ^a  

^a CGG   (France)

Author keywords

Common angle migration; Common shot migration; Double square root operator; One way wave equaiton; Single square root operator; True amplitude migration

Indexed keywords

AMPLITUDE; DATA PROCESSING; KIRCHHOFF EQUATION; SEISMIC DATA; SEISMIC REFLECTION;

EID: 33845696736     PISSN: 00015733     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (48)

1. Beylkin G. Imaging of discontinuities in the inverse scattering problem by inversion of a generalized radon transform. J. Math. Phys., 1985, 26:99-108
2. Bleistein N. On the imaging of reflectors in the earth. Geophysics, 1987, 52:931-942
3. Miller D, Oristaglio M, Beylkin G. A new slant on seismic imaging: migration and integral geometry. Geophysics, 1987, 52:943 - 964
4. Claerbout J F. Toward a unified theory of reflector mapping. Geophysics, 1971, 36(3) :467 - 481
5. Gazdag J. Wave equation migration with the phase-shift method. Geophysics, 1978, 43:1342- 1351
6. Bleistein N, Cohen J K, Stockwell J W. Mathematics of Multidimensional Seismic Inversion. Springer, 2001.
7. Schneider W A. Integral formulation for migration in two and three dimensions. Geophysics, 1978, 43:49-76
8. Hanitzsch C. Comparison of weights in prestack amplitude- preserving Kirehhoff depth migration. Geophysics, 1997, 62(6):1812-1816
9. Zhang Y, Gray S, Young J. Exact and approximate weights for Kirchhoff migration. 70th Ann. Mtg., Soc. Expl. Geophys., Expanded Abstracts,2000, II : 1036-1039
10. Zhang Y, Karazineir M, Notfors C, Sun J, Hung B. Amplitude preserving v (z) pre-stack Kirchhoff migration, demigration and modeling.64th EAGE Annual Conference, 2002
11. Loewenthal D, Lu L, Roberson R, Sherwood J. The wave equation applied to migration. Geophysics, 1976, 24:380-399
12. Zhang Y,Gray S, Young J. True-amplitude common-offset, commonazimuth v(z) migration. Journal of Seismic Exploration, 2002, 11
13. Ursin B. Offset-dependent geometrical spreading in a layered medium. Geophysics, 1990, 55(4) :492-496
14. Dubrulle A A. Numerical methods for the migration of constant-offset sections in homogeneous and horizontally layered media. Geophysics, 1983, 48:1195-1203
15. Ekren B O, Ursin B. True-amplitude frequency-wavenumber constantoffset migration. Geophysics, 1999, 64:915-924
16. Winbow G, Schneider W. Weights for 3-D controlled amplitude prestack time migration. 69th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1999. II : 1110-1113
17. Zhang Y, Sun J, Gray S, Notfors C, Bleistein N. Towards accurate amplitudes for one-way wavefield extrapolation of 3-D common shot records. 71st Ann. Mtg., Soc. Expl. Geophys. (workshop), 2001
18. Zhang Y, Sun J, Gray S, Notfors C, Bleistein N, Zhang G. True amplitude migration using common-shot one-way wavefield extrapolation. 64th EAGE Annual Conference, 2002
19. Zhang Y, Zhang G, Bleistein N. Theory of true amplitude commonshot migration. 72nd Ann. Mtg., Soc. Expl. Geophys., 2002. 2471 - 2473
20. Zhang Y, Zhang G, Bleistein N. Theory of true amplitude one-way wave equations and true amplitude common-shot migration.73rd Ann. Mtg., Soc. Expl. Geophys., 2003, 925-928
21. Zhang Y, Zhang G, Bleistein N. True amplitude wave equation migration arising from true amplitude one-way wave equations. Inverse Problems, 2003, 19:1113-1138
22. Zhang Y, Zhang G, Bleistein N. Theory of true amplitude one-way wave equations and true amplitude common-shot migration. Geophysics, 2005, 70(3) :E1 - 10
23. Zhang G. System of coupled equations for up-going and down-going waves. Acta Math. Appl. Sinica, 1993, 16(2) :251 - 263
24. Wapenaar C P A. Representation of the seismic sources in one-way wave equations. Geophysics, 1990, 55(6) :786 - 790
25. Keho T H, Beydoun W B. Paraxial ray Kirchhoff migration. Geophysics, 1988, 53( 12) : 1540 - 1546
26. Zhang G, Zhang S, Wang Y, Liu C. A new algorithm for finite-difference migration of steep dips. Geophysics, 1988, 53(2) : 167 - 175
27. Zhang G, Zhang Y. An iteratice method for the inversion of the two-dimensional wave equation with a potential. Journal of Computational Physics, 1998, 147:485-506
28. Claerbout J F, Doherty S M. Downward continuation of moveout corrected seismograms. Geophysics, 1972, 37(5) :741 - 768
29. Berkhout A J. Steep dip finite-difference migration. Geophysics Prospecting, 1979, 27:196 - 213
30. Paffenholz J. Sigsbee2 synthetic subsalt dataset: image quality as function of migration algorithm and velocity model error. 71st. Ann. Mtg., Soc. Expl. Geophys. (Workshop W-5), 2001
31. Xu X, Zhang Y, Pham D, Lambaré G. Anti-leakage Fourier transform for seismic data regularization. Geophysics, 2004,70(4) :V87 -95
32. Xu S, Chauris H, Lambaré G, Noble M. Common-angle migration: a strategy for imaging complex media. Geophysics, 2001, 66:1877-1894
33. Sava P C, Fomel S. Angle-domain common-image gathers by wavefield continuation methods. Geophysics, 2003, 68:1065- 1074
34. Xie X, Wu R. Extracting angle related image from migrated wavefield. 72nd Ann. Mtg., Soc. Expl. Geophys., 2002. 1360-1363
35. Zhang Y, Xu S, Bleistein N, Zhang G. True amplitude angle domain common image gathers from one-way wave equation migrations. Geophysics, 2006. submitted.
36. Zhang Y, Xu S, Zhang G, Bleistein N. How to obtain true amplitude common-angle gathers from one-way wave epuation migration? 74th Ann. Mtg., Soc. Expl. Geophys., 2004
37. Operto M S, Xu S, Lambare G. Can we quantitatively image complex structures with rays? Geophysics, 2000, 65(4) : 1223 - 1238
38. Thierry P. Migration/Inversion 3D en profondeur à amplitude préservée: application aux données de sismique réflexion avant sommation (Ph. D. thesis). 1' Université Paris 7-Denis Diderot, 1997
39. Thierry P, Operto S, Lambaré. Fast 2-D ray + Born migration/inversion in complex media. Geophysics, 1999, 64(1):162- 181
40. Xu X. Migration/Inversion en milieu complexe par des méthodes asymptotiques haute fréquence (Ph.D. thesis). l'Ècole des Mines de Paris, 2001
41. Bleistein N, Zhang Y, Xu S, Zhang G, Gray S H. Migration/inversion: think image point coordinates, process in acquisition surface coordinates. Inverse Problems, 2005,21:1715-1744
42. Rickett J E, Sava P C. Offset and angle-domain common image-point gathers for shot-profile migration. Geophysics, 2002, 67(3): 883-889
43. Zhang Y, Xu S, Zhang G, Bleistein N. Angle domain true amplitude wave equation migration. 67th EAGE Annual Conference, 2005
44. Claerbout J F. Imaging the Earth's Interior. Blackwell Scientific Publications, Inc., 1985
45. Biondi B. Equivalence of source-receiver migration and shot-profile migration. Geophysics, 2003, 68:1340-1347
46. Wapenaar C P A. Berkhout A J. Fullprestack versus shot record migration. 57th Annual Internal. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1987.761-764
47. Bleistein N, Zhang Y, Zhang G. Analysis of the neighborhood of a smooth caustic for true-amplitude one-way wave equations. Wave Motion, 2006, 43/4: 323 - 338
48. Zhang Y,Xu S, Zhang G, Bleistein N. Imaging complex salt bodies with turning-wave one-way wave equation. 68th EAGE Annual Conference, 2006