The resolving power of seismic amplitude data: An anisotropic inversion/migration approach

Geophysics

Volumn 64, Issue 3, 1999, Pages 852-873

  De Hoop, Maarten V ^a   Spencer, Carl ^b   Burridge, Robert ^c  

^a Department of Geology and Geological Engineering   (United States)

^b SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

^c SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; INVERSE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; THREE DIMENSIONAL;

BAYESIAN STATISTICAL TECHNIQUES; GENERALIZED RADON TRANSFORM;

SEISMIC PROSPECTING;

AMPLITUDE; DATA INVERSION; DATA PROCESSING; SEISMIC DATA;

EID: 0033133536     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444595     Document Type: Article

References (48)

1. Backus, G., and Gilbert, F., 1968, The resolving power of gross earth data: Geophys. J. Roy. Astr. Soc., 16, 169-205.
2. Ball, G., 1995, Estimation of anisotropy and anisotropic 3-D prestack depth migration, offshore Zaire: Geophysics, 60, 1495-1513.
3. Bamberger, A., Chavent, G., Hemon, C., and Lailly, P., 1982, Inversion of normal incidence seismograms: Geophysics, 47, 757-770.
4. Banik, N. C., 1987, An effective anisotropy parameter in transversely isotropic media: Geophysics, 52, 1654-1664.
5. Berkhout, A. J., and Wapenaar, C. P. A., 1990, Delphi: Delft philosophy on acoustic and elastic inversion, Part 2: The Leading Edge, 9, No. 3, 53-59.
6. 2 migration/ inversion: Geophys. J. Internat., 97, 151-160.
7. Beylkin, G., 1985, Imaging of discontinuities in the inverse scattering problem by inversion of the causal generalized Radon transform: J. Math. Phys., 26, 99-108.
8. Beylkin, G., and Burridge, R., 1990, Linearized inverse scattering problem of acoustics and elasticity: Wave Motion, 12, 15-52.
9. Bleistein, N., 1987, On the imaging of reflectors within the earth: Geophysics, 52, 931-942.
10. Bleistein, N., and Cohen, J. K., 1979, Direct inversion procedure for Claerbout's equation: Geophysics, 44, 1034-1040.
11. Burridge, R., de Hoop, M. V., Miller, D., and Spencer, C., 1998, Multiparameter inversion in anisotropic elastic media: Geophys. J. Internat., 134, 757-777.
12. Campbell, S., and Meyer, C., 1979, Generalized inverses of linear transformations: Pitman.
13. Cao, D., Beydoun, W. B., Singh, S. C., and Tarantola, A., 1990, A simultaneous inversion for background velocity and impedance maps: Geophysics, 55, 458-469.
14. Carazzone, J. J., and Symes, W. W., 1991, Velocity inversion by differential semblance optimization: Geophysics, 56, 654-663.
15. Chavent, G., and Jacewitz, C. A., 1995, Determination of background velocities by multiple migration fitting: Geophysics, 60, 476-490.
16. Cheng, G., and Coen, S., 1984, The relationship between Born inversion and migration for common-midpoint stacked data: Geophysics, 49, 2117-2131.
17. Claerbout, J. F., 1992. Earth sounding analysis: Processing versus inversion: Blackwell Scientific Publications.
18. Clayton, R. W., and Stolt, R. H., 1981, A Born-WKBJ inversion method for acoustic reflection data: Geophysics, 46, 1559-1567.
19. Dȩbski, W., and Tarantola, A., 1995, Information on elastic parameters obtained from the amplitudes of reflected waves: Geophysics, 60, 1426-1436.
20. de Hoop, M. V., and Bleistein, N., 1997, Generalized Radon transform inversions for reflectivity in anisotropic elastic media: Inverse Problems, 13, 669-690.
21. de Hoop, M. V., and Brandsberg-Dahl, S., 1998, Maslov asymptotic extension of generalized Radon transform inversions in anisotropic elastic media: A least-squares approach, in Seismic imaging; lecture notes of the 1998 Mathematical Geophysics Summer School at Stanford University: Soc. Ind. Appl. Math.
22. de Hoop, M. V., and de Hoop, A. T., 1997, Wavefield reciprocity and local optimization in remote sensing: Center for Wave Phenomena, Colorado School of Mines, preprint 242.
23. 2 for migration × inversion: Inverse Problems, 12, 219-239.
24. de Hoop, M. V., Burridge, R., Spencer, C., and Miller, D., 1994, Generalized Radon transformation/amplitude versus angle (GRT/AVA) migration/inversion in anisotropic media, in Hassanzadeh, S., Ed., Proc. SPIE 2301, 15-27.
25. Devaney, A. J., 1984, Geophysical diffraction tomography: IEEE Trans. Geosci. Remote Sensing, GE-22, 3-13.
26. Dillon, P. B., 1990, A comparison between Kirchhoff and GRT migration on VSP data: Geophys. Prosp., 38, 757-777.
27. Eaton, D. W. S., and Stewart, R. R., 1994, Migration/inversion for transversely isotropic elastic media: Geophys. J. Internat., 119, 667-683.
28. Esmersoy, C., and Oristaglio, M., 1988, Reverse-time wave-field extrapolation imaging and inversion: Geophysics, 53, 920-931.
29. Gauthier, O., Virieux, J., and Tarantola, A., 1986, Two-dimensional nonlinear inversion of seismic waveforms - Numerical results: Geophysics, 51, 1387-1403.
30. Hornby, B. E., Schwartz, L. M., and Hudson, J. A., 1994, Anisotropic effective medium modeling of the elastic properties of shales: Geophysics, 59, 1570-1583.
31. Ikelle, L. T., Diet, J. P., and Tarantola, A., 1986, Linearized inversion of multioffset seismic reflection data in the frequency-wavenumber domain: Geophysics, 51, 1266-1276.
32. Jin, S., Madariaga, R., Virieux, J., and Lambaré, G., 1992, Two-dimensional asymptotic iterative elastic inversion: Geophys. J. Internat., 108, 575-588.
33. Kendall, J.-M., Guest, W. S., and Thomson, C. J., 1992, Ray-theory Green's function reciprocity and ray centered coordinates in anisotropic media. Geophys. J. Internat., 108, 364-371.
34. Larner, K., and Tsvankin, I., 1995, P-wave anisotropy: Its practical estimation and importance in processing and interpretation of seismic data. 65th Ann. Internat. Mtg. Soc. Expl. Geophys., Expanded Abstracts, 1502-1505.
35. Liu, Z., 1995, Migration velocity analysis: Center for Wave Phenomena, Colorado School of Mines, preprint 168.
36. Miller, D., Oristaglio, M., and Beylkin, G., 1987, A new slant on seismic imaging: Migration and integral geometry: Geophysics, 52, 943-964.
37. Mora, P., 1989, Inversion = migration + tomography: Geophysics, 54, 1575-1586.
38. Norton, S. G., and Linzer, M., 1981, Ultrasonic scattering potential imaging in three dimensions: Exact inverse scattering solutions for plane, cylindrical, and spherical apertures. IEEE Trans. Biomedical Eng., BME-28, 202-220.
39. Rüger, A., 1996, Variation of P-wave reflectivity with offset and azimuth in anisotropic media: Center for Wave Phenomena, Colorado School of Mines, preprint 218.
40. Shearer, P. M., and Chapman, C. H., 1989, Ray tracing in azimuthally anisotropic media - I. Results for models of aligned cracks in the upper crust: Geophys. J., 96, 51-64.
41. Singh, S. C., West, G. F., Bregman, N. D., and Chapman, C. H., 1989, Full waveform inversion of reflection data: J. Geophys. Res., 94, 1777-1794.
42. Snieder, R., Xie, M. Y., Pica, A., and Tarantola, A., 1989, Retreiving both the impedance contrast and background velocity: A global strategy for the seismic reflection problem: Geophysics, 54, 991-1000.
43. Stolt, R. H., 1978, Migration by Fourier transform: Geophysics, 43, 23-48.
44. Symes, W. W., and Kern, M., 1994, Inversion of reflection seismograms by differential semblance analysis: Algorithm structure and synthetic examples. Geophys. Prosp., 42, 565-614.
45. Tarantola, A., 1984, Inversion of seismic reflection data in the acoustic approximation: Geophysics, 49, 1259-1266.
46. _1986, A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics, 51, 1893-1903.
47. Thomsen, L., 1986, Weak elastic anisotropy: Geophysics, 51, 1954-1966.
48. Tsvankin, I., and Thomsen, L., 1995, Inversion of reflection traveltimes for transverse isotropy: Geophysics, 60, 1095-1107.