Synthesis of scalar-wave envelopes in two-dimensional weakly anisotropic random media by using the Markov approximation

Geophysical Journal International

Volumn 165, Issue 2, 2006, Pages 501-515

  Saito, Tatsuhiko ^a  

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

Author keywords

Anisotropy; Random media; Scattering; Seismic waves

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MARKOV CHAIN; SEISMIC ANISOTROPY; SEISMIC WAVE; WAVE PROPAGATION; WAVE SCATTERING;

EID: 33646061655     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.02896.x     Document Type: Article

References (35)

1. Aki, K. Richards, P.G., 1980. Quantitative Seismology, W.H. Freeman, New York.
2. Chernov, L.A., 1960. Wave Propagation in a Random Medium, Mc-Graw Hill, New York.
3. Dolan, S.S., Bean, C.J. Riollet, B., 1998. The broad-band fractal nature of heterogeneity in the upper crust from petrophysical logs, Geophys. J. Int., 132, 489-507.
4. 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.
5. Furumura, T. Kennett, B.L.N., 2005. Subduction zone guided waves and the heterogeneity structure of the subducted plate: Intensity anomalies in northern Japan, J. geophys. Res., 110, B10302, doi:.10.1029/2004JB003486
6. Hestholm, S.O., Husebye, E.S. Ruud, B.O., 1994. Seismic wave propagation in complex crust-upper mantle media using 2-D finite-difference synthetics, Geophys. J. Int., 118, 643-670.
7. Holliger, K. Levander, A., 1992. A stochastic view of lower crustal fabric based on evidence from the Ivrea zone, Geophys. Res. Lett., 19, 1153-1156.
8. Ikelle, L.T., Yung, S.K. Daube, F., 1993. 2-D random media with ellipsoidal autocorrelation functions, Geophysics, 58, 1359-1372.
9. Ishimaru, A., 1978. Wave Propagation and Scattering in Random Media, Academic Press, New York.
10. Iooss, B., 1998. Seismic reflection traveltimes in two-dimensional statistically anisotropic random media, Geophys. J. Int., 135, 999-1010.
11. Jannaud, L.R., Adler, P.M. Jacquin, C.G., 1992. Wave propagation in random anisotropic media, J. geophys. Res., 97, 15277-15289.
12. Kamei, R., Hato, M. Matsuoka, T., 2005. Random heterogeneous model with bimodal velocity distribution for methane hydrate exploration, Butsuri-Tansa, 58, 41-49.
13. Kawahara, J., 2002. Cutoff scattering angles for random acoustic media, J. geophys. Res., 107 (B1), 20120, doi:.10.1029/2001JB000429.
14. 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.
15. 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.
16. Lee, L.C. Jokipii, J.R., 1975a. Strong scintillations in astrophysics: I. The Markov approximation, its validity and application to angular broadening, Astrophys. J., 196, 695-707.
17. Lee, L.C. Jokipii, J.R., 1975b. Strong scintillations in astrophysics: II. A theory of temporal broadening of pulses, Astrophys. J., 201, 532-543.
18. Matsumoto, S., Obara, K. Hasegawa, A., 2001, Characteristic of coda envelope for slant-stacked seismogram, Geophys. Res. Lett., 28, 1111-1114.
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. Obara, K. Sato, H., 1995. Regional differences of random inhomogeneities around the volcanic front in the Kanto-Tokai area, Japan, revealed from the broadening of S wave seismogram envelopes, J. geophys. Res., 100, 2103-2121.
21. Ryberg, T., Tittgemeyer, M. Wenzel, F., 2000. Finite difference modelling of P-wave scattering in the upper mantle, Geophys. J. Int., 141, 787-800.
22. 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.
23. 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.
24. Saito, T., Sato, H., Fehler, M. Ohtake, M., 2003. Simulating the envelope of scalar waves in 2D random media having power-law spectra of velocity fluctuation, Bull. seism. Soc. Am., 93, 240-252.
25. 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.
26. Sato, H., 1982. Amplitude attenuation of impulsive waves in random media based on travel time corrected mean wave formalism, J. acoust. Soc. Am., 71, 559-564.
27. 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.
28. Sato, H. Fehler, M., 1998. Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer-Verlag, New York.
29. Sato, H., Fehler, M. Saito, T., 2004. Hybrid synthesis of scalar wave envelopes in two-dimensional random media having rich short-wavelength spectra, J. geophys. Res., 109, B06303, doi:.10.1029/2003JB002673.
30. Scherbaum, F. Sato, H., 1991. Inversion of full seismogram envelopes based on the parabolic approximation: Estimation of randomness and attenuation in southeastern Honshu, Japan, J. geophys. Res., 96, 2223-2232.
31. Shearer, P.M., 1999. Introduction to Seismology, Cambridge University Press, Cambridge.
32. Shiomi, K., Sato, H. Ohtake, M., 1997. Broad-band power-law spectra of well-log data in Japan, Geophys. J. Int., 130, 57-64.
33. Tsukada, S., Odaka, T., Ashiya, K., Ohtake, K. Nozaki, D., 2004. Analysis of the envelope waveform of the initial part of P-waves and its application to quickly estimating the epicentral distance and magnitude, Zisin II, 56, 351-361 (in Japanese with English Abstract).
34. Wu, R.S., 1982. Attenuation of short period seismic waves due to scattering, Geophys. Res. Lett., 9, 9-12.
35. 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.