Elastic waves in finely layered sediments: The equivalent medium and generalized O'Doherty-Anstey formulas

Geophysics

Volumn 61, Issue 5, 1996, Pages 1282-1300

  Shapiro, Sergei A ^a   Hubral, Peter ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INVERSE KINEMATICS; PHYSICAL PROPERTIES; SCATTERING; SEDIMENTS; SEISMIC PROSPECTING; STATISTICAL METHODS; WAVE TRANSMISSION; WAVEFORM ANALYSIS;

AMPLITUDE VARIATION WITH OFFSET; ATTENUATION COEFFICIENT; BACKUS AVERAGING; FREQUENCY DEPENDENT ANISOTROPY; MULTIPLE SCATTERING; O'DOHERTY-ANSTEY FORMULAS; ONE DIMENSIONAL INHOMOGENEOUS RANDOM MEDIA; PHASE VELOCITY; STATISTICAL PARAMETERS; VERTICAL SEISMIC PROFILING;

ELASTIC WAVES;

ATTENUATION; ELASTIC WAVE; LAYERED MEDIUM; PHASE VELOCITY; SCATTERING;

EID: 0030235953     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444052     Document Type: Article

References (22)

1. Aki, K., and Richards, P. G., 1980, Quantitative seismology: Theory and methods, W. H. Freeman and Company, 1.
2. Backus, G. E., 1962, Long-wave elastic anisotropy produced by horizontal layering: J. Geophys. Res., 67, 4427-4440.
3. Banik, N. C., Lerche, I., and Shuey. R. T., 1985, Stratigraphic filtering, part I: Derivation of the O'Doherty-Anstey formula: Geophysics, 50,2768-2774.
4. Berryman, J. G., 1979, Long-wave elastic anisotropy in transversely isotropic media: Geophysics, 44, 896-917.
5. Burridge, R., and Chang, M. W., 1989, Multimode, one-dimensional wave propagation in a highly discontinuous medium: Wave Motion, 11, 231-249.
6. Burridge, R., de Hoop, M. V., Hsu, K., Le, L., and Norris, A., 1993, Waves in stratified viscoelastic media with microstructure: J. Acoust. Soc. Am., 94, 2884-2894.
7. de Hoop, M. V., Burridge. R., and Chang. H.-W., 1991, Wave propagation with tunneling in a highly discontinuous layered medium: Wave Motion, 13, 307-327.
8. Gogonenkov, G. N., 1987. Study of detailed structure of sediments by seismic exploration, Nedra (in Russian).
9. Johnston, D. H., and Toksöz, M. N., 1981, Definitions and terminology, in Toksöz, M. N., and Johnston, D. H., Eds., Seismic wave attenuation: Geophysics reprint series: Soc. Expl. Geophys., chap. I, 1-5.
10. O'Doherty, R. F., and Anstey, N. A., 1971, Reflections on amplitudes: Geophys. Prosp., 19, 430-458.
11. Richards, P. G., and Menke, W., 1983, The apparent attenuation of a scattering medium: Bull. Seis. Soc. Am. 73,1005-1021.
12. Robinson, E. A., and Treitel, S., 1980, Geophysical signal analysis, Prentice-Hall.
13. Schoenberger, M., and Levin, F. K., 1974, Apparent attenuation due to intrabed multiples: Geophysics, 39, 278-291.
14. _ 1978, Apparent attenuation due to intrabed multiples II: Geophysics, 43, 730-737.
15. Schoenberg, M., and Muir, F., 1989. A calculus for finely layered anisotropic media: Geophysics, 54, 581-589.
16. Shapiro, S. A., and Hubral, P., 1995, Frequency-dependent shear-wave splitting and velocity anisotropy due to elastic multilayering: J. Seis. Expl. 4, 151-168.
17. Shapiro, S. A., and Hubral, P., and Ursin, B., 1995, Seismic-wave reflectivity/transmissivity for randomly layered nonstationary sediments: 64th Ann. Internat. Mtg. Soc. Expl., Expanded Abstracts, Geophysics, 1305-1308.
18. Shapiro, S. A., Hubral, P., and Zien, H., 1994a, Frequency-dependent anisotropy of scalar waves in a multilayered medium: J. Seis. Expl., 3, 37-52.
19. Shapiro, S. A., Zien, H., and Hubral, P., 1994b, A generalized O'Doherty-Anstey formula for waves in finely-layered media: Geophysics, 59, 1750-1762.
20. Walden, A. T., and Hosken, J. W. J., 1985, An investigation of the spectral properties of primary reflection coefficients: Geophys. Prosp., 33, 400-435.
21. Widmaier, M., Müller. Th., Shapiro, S. A., and Hubral. P., 1995. Amplitude-preserving migration and elastic P -wave AVO corrected for thin layering: J. Seis. Expl., 4, 169-177.
22. Zien, H., 1993, The effect of micro-layering on the wave propagation: Ph.D. thesis, University of Karlsruhe.