Radiative transfer of elastic waves versus finite difference simulations in two-dimensional random media

Journal of Geophysical Research: Solid Earth

Volumn 111, Issue 4, 2006, Pages

  Przybilla, J ^a   Korn, M ^a   Wegler, U ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BORN APPROXIMATION; ELASTIC WAVE; FINITE DIFFERENCE METHOD; MONTE CARLO ANALYSIS; RADIATIVE TRANSFER;

EID: 33744910364     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2005JB003952     Document Type: Article

References (42)

1. Aki, K. (1969), Analysis of the seismic coda of local earthquakes as scattered waves, J. Geophys. Res., 74(2), 615-631.
2. Aki, K., and B. Chouet (1975), Origin of coda waves: source, attenuation, and scattering effects, J. Geophys. Res., 80(23), 3322-3342.
3. Apresyan, L., and Y. A. Kravtsov (1996), Radiation Transfer: Statistical and Wave Aspects, Gordon and Breach, New York.
4. Bal, G., and M. Moscoso (2000), Polarization effects of seismic waves on the basis of radiative transport theory, Geophys. J. Int., 142, 571-585.
5. Bal, G., G. Papanicolaou, and L. Ryzhik (2000), Probabilistic theory of transport processes with polarization, SIAM J. Appl. Math., 60, 1639-1666.
6. Birch, A. F. (1961), The velocity of compressional waves in rocks to 10 kilobars, part 2, J. Geophys. Res., 66(7), 2199-2224.
7. Chandrasekhar, S. (1960), Radiative Transfer, Dover, Mineola, N. Y.
8. Dainty, A. M., and M. N. Toksöz (1977), Elastic wave propagation in a highly scattering medium - A diffusion approach, J. Geophys. Res., 43(1-2), 375-388.
9. Frankel, A., and L. Wennerberg (1987), Energy-flux model of seismic coda: Seperation of scattering and intrinsic attenuation, Bull. Seismol. Soc. Am., 77, 1223-1251.
10. Gusev, A. A., and I. R. Abubakirov (1987), Monte-Carlo simulation of record envelope of a near earthquake, Phys. Earth Planet. Inter., 49(1-2), 30-36.
11. Gusev, A. A., and I. R. Abubakirov (1999), Vertical profile of effective turbidity reconstructed from broadening of incoherent body-wave pulses-i. General approach and the inversion procedure, Geophys. J. Int., 136(2), 295-308.
12. Hoshiba, M. (1991), Simulation of multiple-scattered coda wave excitation based on the energy conservation law, Phys. Earth Planet. Inter., 67(1-2), 123-136.
13. Hoshiba, M. (1995), Estimation of nonisotropic scattering in western Japan using coda wave envelopes: Application of a multiple nonisotropic scattering model, J. Geophys. Res., 100(B1), 645-657.
14. Korn, M. (1993), Determination of site-dependent scattering Q from P-wave coda analysis with an energy-flux model, Geophys. J. Int., 113, 54-72.
15. Korn, M., and H. Sato (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. Lee, L. C., and J. R. Jokipii (1975), Strong scintillations in astrophysics. ii. A theory of temporal broadening of pulses, Astrophys. J., 201.
17. Levander, A. R. (1988), Fourth-order finite-difference P-SV seismograms, Geophysics, 53, 1425-1436.
18. Lux, I., and L. Koblinger (1991), Monte Carlo Particle Transport Methods: Neutron and Photon Calculations, CRC Press, Boca Raton, Fla.
19. Margerin, L., M. Campillo, and B. A. Van Tiggelen (1998), Radiative transfer and diffusion of waves in a layered medium: New insight into coda Q, Geophys. J. Int., 134, 596-612.
20. Margerin, L., M. Campillo, and B. Van Tiggelen (2000), Monte Carlo simulation of multiple scattering of elastic waves, J. Geophys. Res., 105(B4), 7873-7892.
21. Müller, T. M., and S. A. Shapiro (2001), Most probable seismic pulses in single realizations of two and three dimensional random media, Geophys. J. Int., 144(1), 83-95.
22. Paasschens, J. C. J. (1997), Solution of the time-dependent Boltzman equation, Phys. Rev. E, 56(1), 1135-1142.
23. Reynolds, A. C. (1978), Boundary conditions for the numerical solution of wave propagation problems, Geophysics, 43, 1099-1110.
24. Rytov, S. M., Y. A. Kravtsov, and V. I. Tatarskii (1987), Principles of Statistical Radiophysics, vol. 4, Wave Propagation Through Random Media, Springer, New York.
25. Ryzhik, L., G. Papanicolaou, and J. B. Keller (1996), Transport equations for elastic and other waves in random media, Wave Motion, 24, 327-370.
26. Saito, T., H. Sato, and M. Ohtake (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.
27. Saito, T., H. Sato, M. Fehler, and M. Ohtake (2003), Simulating the envelope of scalar waves in 2D random media having power-law spectra of velocity fluctuation, Bull. Seismol. Soc. Am., 93(1), 240-252.
28. Sato, H. (1977), Single isotropic scattering model including wave conversions: Simple theoretical model of the short period body wave propagation, J. Phys. Earth, 25, 163-176.
29. Sato, H., and M. C. Fehler (1998), Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer, New York.
30. Sato, H., M. Fehler, and T. Saito (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.
31. Scherbaum, F., and H. Sato (1991), Inversion of full seismogram envelopes based on the parabolic approximation: Estimation of randomness and attenuation in southeast Honshu, Japan, J. Geophys. Res., 96(B2), 2223-2232.
32. Shearer, P. M., and P. S. Earle (2004), The global short-period wavefield modelled with a Monte Carlo seismic phonon method, Geophys. J. Int., 158, 1103-1117.
33. Trègourés, N. P., and B. A. van Tiggelen (2002), Generalized diffusion equation for multiple scattered elastic waves, Waves Random Media, 12, 21-38.
34. Weaver, R. L. (1990), Diffusivity of ultrasound in polycrystals, J. Mech. Phys. Solids, 38(1), 55-86.
35. Wegler, U. (2004), Diffusion of seismic waves in a thick layer: Theory and application to Vesuvius volcano, J. Geophys. Res., 109, B07303, doi:10.1029/2004JB003048.
36. Wegler, U., M. Korn, and J. Przybilla (2006), Modeling full seismogram envelopes using radiative transfer theory with Born scattering coefficients, in Advances in Studies of Heterogeneities in the Earth's Lithosphere, Keiiti Aki Volume II, Springer, New York, in press.
37. Williamson, I. (1972), Pulse broadening due to multiple scattering in the interstellar medium, Mon. Not. R. Astron. Soc., 157, 55-71.
38. Wu, R. (1985), Multiple scattering and energy transfer of seismic waves: Separation of scattering effect from intrinsic attenuation: I. Theoretical modelling, Geophys. J. R. Astron. Soc., 82(1), 57-80.
39. Wu, R., and K. Aki (1985), Elastic wave scattering by a random medium and the small-scale inhomogeneities in the lithosphere, J. Geophys. Res., 90(B12), 10,261-10,273.
40. Yoshimoto, K. (2000), Monte Carlo simulation of seismogram envelopes in scattering media, J. Geophys. Res., 105(B3), 6153-6161.
41. Zeng, Y (1993), Theory of scattered P- and S-wave energy in a random isotropic scattering medium, Bull. Seismol. Soc. Am., 83(4), 1264-1976.
42. Zeng, Y., F. Su, and K. Aki (1991), Scattering wave energy propagation in a random isotropic scattering medium: 1. Theory, J. Geophys. Res., 96(B1), 607-619.