Calculation of wave fields for anisotropic media with absorption based on the reflective method
DOI:
https://doi.org/10.24028/gzh.0203-3100.v33i4.2011.116900Abstract
A stable method for calculating wave fields in horizontally layered anisotropic media on the basis of the reflectivity method is offered. For gradient media, a differential Riccati equation with coefficients defined by the perturbation method is derived.References
Аки К., Ричардс П. Количественная сейсмология. Том 1. - Москва: Мир, 1983. - 519 с.
Каппелини В., Константинидис А. Дж., Эмилиани П. Цифровые фильтры и их применение. - Москва: Энергоатомиздат, 1983. - 360 с.
Молотков Л. А. Матричный метод в теории распространения волн в слоистых упругих и жидких средах. - Ленинград: Наука, 1984. - 201 с.
Роганов В. Ю. Вычисление волновых полей для анизотропных сред с использованием метода Хаскелла-Томсона // Геофиз. журн. - 2009. - 31, № 3. - С. 63-73.
Abo-Zena A. Dispersion function computations for unlimited frequency values // Geophys. J. Roy Astronom. Soc. - 1979. - 58, № 1. - P. 91-105.
Abramovici F. Diagnostic diagrams and transfer functions for oceanic wave guides // Bull. Seism. Soc. Amer. - 1968. - 58. - P. 427-456.
Chichinina T., Obolentseva I., Gik L., Bobrov B., Ronquillo-Jarillo G. Attenuation anisotropy in the linear-slip model: Interpretation of physical modeling data// Geophysics. - 2009. - 74, № 5. - P. WB165- WB176.
Dunkin I. W. Computation of modal solutions in layered elastic media at high frequencies // Bull. Seismol. Soc. Amer. - 1965. - 55, № 2. - P. 335-358.
Fuchs K., Muller G. Computation of synthetic seismograms with the reflectivity method and comparison with observations // Geophys. J. Roy. Astronom. Soc. - 1971. - 23. - P. 417-433.
Kennett B. L. N. Reflections, rays and reverberations // Bull. Seism. Soc. Amer. - 1974. - 64. - P. 1685- 1696.
Kennett B. L. N. The effect of attenuation of seismograms // Bull. Seism. Soc. Amer. - 1975. - 65. - P. 1643-1651.
Kennett B. L. N. Theoretical reflection seismograms for an elastic medium // Geophys. Prosp. - 1979. - 27, № 2. - P. 301-321.
Kennett B. L. N., Kerry N. J. Seismic waves in stratified half-space // Geophys. J. Roy. Astronom. Soc. - 1979. - 57, № 3. - P. 557-583.
Kennett B. L. N. Seismic wave propagation in stratified media. - New York: Cambridge University Press, 1983. - 200 p.
Kind R. Computation of reflection coefficients for layered media // J. Geophys. - 1976. - 42. - P. 191- 200.
Fryer G. J. A slowness approach to the reflectivity method of seismogram synthesis// Geophys. J. Roy. Astronom. Soc. - 1981. - 63. - P. 747-758.
Fryer G. J., Frazer L. N. Seismic waves in stratified anisotropic media // Geophys. J. Roy. Astronom. Soc. - 1984. - 78. - P. 691-710.
Mallick S., Frazer L. N. Practical aspects of reflectivity modeling // Geophysics. - 1987. - 52, № 10. - P. 1355-1364.
Mallick S., Frazer L. N. Rapid computation of multioffset vertical seismic profile synthetic seismograms for layered media // Geophysics. - 1988. - 53, № 4. - P. 479-491.
Norris A. N., Shuvalov A. L. Wave impedance matrices for cylindrically anisotropic radially inhomogeneous elastic solids // Quart. J. Mech. Appl. Math. - 2010. - 63, № 3. - P. 1-39.
Sipkin S. A., Orcutt J. A., Jordan T. H. An examination of ScS travel times with causal Q reflectivity algorithm for SH polarized waves // Trans. Am. Geoph. Union - 1978. - 59. - P. 324.
Stephen R. A. Synthetic seismograms for the case of the receiver within the reflectivity zone // Geophys. J. Roy. Astronom. Soc. - 1977. - 51. - P. 169-181.
O’Neil M. E., Hill D. P. Causal absorption: its effect on synthetic seismograms computed by the reflectivity method // Bull. Seis. Soc. Am. - 1979. - 69. - P. 17-26.
Ursin B. Review of elastic and electromagnetic wave propagation in horizontally layered media // Geophysics. - 1983. - 48, № 8. - P. 1063-1081.
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