Recursive formula for the peak delay time with travel distance in von Kármán type non-uniform random media on the basis of the Markov approximation

Geophysical Journal International

Volumn 173, Issue 2, 2008, Pages 534-545

  Takahashi, Tsutomu ^a,b   Sato, Haruo ^a   Nishimura, Takeshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

^b JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

Wave scattering and diffraction

Indexed keywords

ARRIVAL TIME; DATA INVERSION; FREQUENCY DEPENDENCE; INHOMOGENEITY; MARKOV CHAIN; MICROEARTHQUAKE; NUMERICAL MODEL; PROBABILITY DENSITY FUNCTION; STOCHASTICITY; WAVE ATTENUATION; WAVE DIFFRACTION; WAVE PROPAGATION; WAVE SCATTERING; WAVELENGTH; WAVELET ANALYSIS;

EID: 42349109146     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.03739.x     Document Type: Article

References (23)

1. Atkinson, G.M. & Boore, D.M., 1995. Ground-motion relations for eastern North America, Bull. seism. Soc. Am., 85, 17-30.
2. Bocharov, A.A., 1985. 'Stochastic ray-path'method: Point source in random medium, Preprint 978, IKI AN SSSR, Moscow (in Russian).
3. Bocharov, A.A., 1987. Space tomography: Developing the foundations of the method, Preprint 1277, IKI AN SSSR, Moscow (in Russian).
4. Fehler, M., Sato, H. & Huang, L-J, 2000. Envelope broadening of outgoing waves in 2D random media: A comparison between the Markov approximation and numerical simulations, Bull. Seism. Soc. Am., 90, 914-928.
5. Gusev, A.A. & Abubakirov, I.R., 1996. Simulated envelopes of non-isotropically scattered body waves as compared to observed ones: another manifestation of fractal inhomogeneity, Geophys. J. Int., 127, 49-60.
6. Gusev, A.A. & Abubakirov, I.R., 1999a. Vertical profile of effective turbidity reconstructed from broadening of incoherent body-wave pulses-I. General approach and the inversion procedure, Geophys. J. Int., 136, 295-308.
7. Gusev, A.A. & Abubakirov, I.R., 1999b. Vertical profile of effective turbidity reconstructed from broadening of incoherent body-wave pulses-II. Application to Kamchatka data, Geophys. J. Int., 136, 309-323.
8. Matsumoto, M. & Nishimura, T., 1998. Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator, ACM Trans. Model. Comput. Simulat., 8, 3-30.
9. 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.
10. Petukhin, A.G. & Gusev, A.A., 2003. The duration-distance relationship and average envelope shapes of small Kamchatka earthquakes, Pure Appl. Geophys., 160, 1717-1743.
11. 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.
12. 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.
13. 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.
14. Saito, T., Sato, H. & Takahashi, T., 2008. Direct simulation methods for scalar-wave envelopes in two-dimensional layered random media based on the small-angle scattering approximation, Commun. Comput. Phys., 3, 63-84.
15. Sato, H., 1989. Broadening of seismogram envelopes in the randomly inhomogeneous lithosphere based on the parabolic approximation: southeastern Honshu, Japan, J. geophys. Res., 94, 17 735-17 747.
16. Sato, H. & Fehler, M., 1998. Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer Verlag, New York.
17. Sato, H. & Korn, M., 2007. Envelope syntheses of cylindrical vector-waves in 2-D random elastic media based on the Markov approximation, Earth Planets Space, 59, 209-219.
18. 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.
19. Shiomi, K., Sato, H. & Ohtake, M., 1997. Broad-band power-law spectra of well-log data in Japan, Geophys. J. Int., 130, 57-64.
20. Shishov, V.I., 1974. Effect of on scintillation characteristics and average pulse shape of pulsars, Sov. Astron., 17, 598-602.
21. Takahashi, T., Sato, H., Nishimura, T. & Obara, K., 2007. Strong inhomogeneity beneath Quaternary volcanoes revealed from the peak delay analysis of S-wave seismograms of microearthquakes in northeastern Japan, Geophys. J. Int., 168, 90-99.
22. Williamson, I.P., 1972. Pulse broadening due to multiple scattering in the interstellar medium, Mon. Not. R. Astron. Soc., 157, 55-71.
23. 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.