Velocity shift in two-dimensional anisotropic random media using the Rytov method

Geophysical Journal International

Volumn 166, Issue 1, 2006, Pages 293-308

  Saito, Tatsuhiko ^a  

^a NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

Author keywords

Anisotropy; Random media; Scattering; Seismic waves; Velocity shift

Indexed keywords

AUTOCORRELATION; SEISMIC ANISOTROPY; SEISMIC VELOCITY; SEISMIC WAVE; WAVE PROPAGATION; WAVE SCATTERING;

EID: 33745698675     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.02976.x     Document Type: Article

References (39)

1. Aki, K., 1973. Scattering of P waves under the Montana LASA, J. geophys. Res., 78, 1334-1346.
2. Aki, K. & Chouet, B., 1975. Origin of coda waves: Source, attenuation and scattering effects, J. geophys. Res., 80, 3322-3342.
3. Avendonk, H. & Snieder, R., 1994. A new mechanism for shape induced seismic anisotropy, Wave Motion, 20, 89-98.
4. Baig, A.M. & Dahlen, F.A., 2004. Traveltime biases in random media and the S-wave discrepancy, Geophys. J. Int., 158, 922-938.
5. Chernov, L.A., 1960. Wave Propagation in a Random Medium, Mc-Graw Hill, New York.
6. Fehler, M., Sato, H. & Huang, L.-J., 2000. Envelope broadening of outgoing waves in 2-D random media: A comparison between the Markov approximation and numerical simulations, Bull. seism. Soc. Am., 90, 914-928.
7. Fehler, M. & Sato, H., 2003. Coda, Pure appl. Geophys., 160, 541-554.
8. Flatté, S.M. & Wu, R.S., 1988. Small-scale structure in the lithosphere and asthenosphere deduced from arrival time and amplitude fluctuation at NORSAR, J. geophys. Res., 93, 6601-6614.
9. Hong, T.-K. & Wu, R.S., 2005. Scattering of elastic waves in geometrically anisotropic random media and its implication to sounding of heterogeneity in the Earth's deep interior, Geophys. J. Int., 163, 324-338.
10. Ishimaru, A., 1978. Wave Propagation and Scattering in Random Media, Academic Press, New York.
11. Ishise, M. & Oda, H., 2005. Three-dimensional structure of P-wave anisotropy beneath the Tohoku district, northeast Japan, J. geophys. Res., 110, B07304, doi:10.1029/2004JB003599.
12. Iooss, B., 1998. Seismic reflection traveltimes in two-dimensional statistically anisotropic random media, Geophys. J. Int., 135, 999-1010.
13. Kawahara, J., 1992. Scattering of P, SV waves by random distribution of aligned open cracks, J. Phys. Earth., 40, 517-524.
14. Kawahara, J. & Yamashita, T., 1992. Scattering of elastic waves by a fracture zone containing randomly distributed cracks, Pure appl. Geophys., 139, 121-144.
15. Korn, M. & Sato, H., 2005. Synthesis of plane vector wave envelopes in two-dimensional random elastic media based on the Markov approximation and comparison with finite-difference simulations, Geophys. J. Int., 161, 839-848.
16. Kravtsov, Y.A., Müller, T.M., Shapiro, S.A. & Buske, S., 2003. Statistical properties of reflection traveltimes in 3-D randomly inhomogeneous and anisomeric media, Geophys. J. Int., 154, 841-851.
17. Mukerji, T., Mavko, G., Mujica, D. & Lucet, N., 1995, Scale-dependent seismic velocity in heterogeneous media, Geophysics, 60, 1222-1233.
18. Müller, G., Roth, M. & Korn, M., 1992, Seismic-wave traveltimes in random media, Geophys. J. Int., 110, 29-41.
19. Müller, T.M. & Shapiro, S.A., 2003. Amplitude fluctuations due to diffraction and refraction in anisotropic random media: Implications for seismic scattering attenuation estimates, Geophys. J. Int., 155, 139-148.
20. Müller, T.M. & Shapiro, S.A., 2004, Scattering attenuation in randomly layered structures with finite lateral extent: A hybrid Q model, Geophysics, 69, 1530-1534.
21. Petersen, N.V., 1990. Inverse kinematic problem for a random gradient medium in geometric optics approximation, Pure appl. Geophys., 132, 417-437.
22. Roth, M., Müller, G. & Snieder, R., 1993. Velocity shift in random media, Geophys. J. Int., 115, 552-563.
23. Rytov, S.M., Kravtsov, Y.A. & Tatarskii, V.I., 1989. Principles of Statistical Radio Physics (Vol. 4) Wave Propagation Through Random Media, Springer-Verlag, Berlin.
24. Saito, T., 2006. Synthesis of scalar-wave envelopes in 2-D weakly anisotropic random media using the Markov approximation, Geophys. J. Int., 165, 501-515.
25. Saito, T., Sato, H. & Ohtake, M., 2002. Envelope broadening of spherically outgoing waves in three-dimensional random media having power-law spectra, J. geophys. Res., 107(B5), 2089, doi:10.1029/ 2001JB000264
26. Saito, T., Sato, H., Ohtake, M. & Obara, K., 2005. Unified explanation of envelope broadening and maximum-amplitude decay of high-frequency seismograms based on the envelope simulation using the Markov approximation: Forearc side of the volcanic front in northeastern Honshu, Japan, J. geophys. Res., 110, B01304, doi:10.1029/2004JB003225
27. Samuelides, Y., 1998. Velocity shift using the Rytov approximation, J. acoust. Soc. Am., 104, 2596-2603.
28. Samuelides, Y. & Mukerji, T., 1998. Velocity shift in heterogeneous media with anisotropic spatial correlation, Geophys. J. Int., 134, 778-786.
29. Sato, H., 1977. Energy propagation including scattering effect: Single isotropic scattering approximation, J. Phys. Earth, 25, 27-41.
30. Sato, H., 1982. Coda wave excitation due to nonisotropic scattering and nonspherical source radiation, J. geophys. Res., 87, 8665-8674.
31. Sato, H., 1989. Broadening of seismogram envelopes in the randomly inhomogeneous lithosphere based on the parabolic approximation: southeastern Honshu, Japan, J. geophys. Res., 94, 17735-17747.
32. Sato, H. & Fehler, M., 1998. Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer-Verlag, New York.
33. Shapiro, S.A. & Kneib, G., 1993. Seismic attenuation by scattering: theory and numerical results, Geophys. J. Int., 114, 373-391.
34. Shapiro, S.A., Schwarz, R. & Gold, N., 1996. The effect of random isotropic inhomogeneities on the phase velocity of seismic waves, Geophys. J. Int., 127, 783-794.
35. Sivaji, C., Nishizawa, O. & Fukushima, Y., 2001. Relationship between fluctuations of arrival time and energy of seismic waves and scale length of heterogeneity: An inference from experimental study, Bull. seism. Soc. Am., 91, 292-303.
36. Sivaji, C., Nishizawa, O., Kitagawa, G. & Fukushima, Y., 2002. A physical-model study of the statistics of seismic waveform fluctuations in random heterogeneous media, Geophys. J. Int., 148, 575-595.
37. Spetzler, J., Sivaji, C., Nishizawa, O. & Fukushima, Y., 2002. Scattering theory based on a laboratory experiment using ultrasonic waves and numerical simulations by finite-difference method, Geophys. J. Int., 148, 165-178.
38. Wielandt, E., 1987. On the validity of the ray approximation for interpreting delay times, in Seismic Tomography, pp. 85-98, ed. Nolet, G., Reidel, Dordrecht.
39. Wu, R.S., Xu, Z. & Li X.-P., 1994. Heterogeneity spectrum and scale anisotropy in the upper crust revealed by the German continental deep-drilling (KTB) holes, Geophys. Res. Lett., 21, 911-914.