Quasi-isotropic approximation of ray theory for anisotropic media

Geophysical Journal International

Volumn 132, Issue 3, 1998, Pages 643-653

  Zillmer, Matthias ^a,c   Kashtan, Boris M ^b   Gajewski, Dirk ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^c NONE   (Germany)

Author keywords

Anisotropy; Perturbation methods; Ray theory

Indexed keywords

EID: 0000086396     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.00443.x     Document Type: Article

References (25)

1. Babich, V.M., 1961. Ray method of calculating the intensity of wave fronts in the case of a heterogeneous, anisotropic, elastic medium, in Problems of the Dynamic Theory of Propagation of Seismic Waves, Vol. 5, Leningrad University Press, Leningrad (in Russian); English translation in Geophys. J. Int. (1994), 118, 379-383.
2. Babich, V.M., 1961. Ray method of calculating the intensity of wave fronts in the case of a heterogeneous, anisotropic, elastic medium, in Problems of the Dynamic Theory of Propagation of Seismic Waves, Vol. 5, Leningrad University Press, Leningrad (in Russian); English translation in Geophys. J. Int. (1994), 118, 379-383.
3. Backus, G.E., 1965. Possible forms of seismic anisotropy of the uppermost mantle under oceans, J. geophys. Res., 70, 3429-3439.
4. Červený, V., 1972. Seismic rays and ray intensities in inhomogeneous anisotropic media, Geophys. J. R. astr. Soc., 29, 1-13.
5. Červený, V., Molotkov, I.A., & Pṡenc̀ik, I., 1977. Ray Method in Seismology, Univerzita Karlova, Prague.
6. Červený, V. & Jech, J., 1982. Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media, J. Geophys., 51, 96-104.
7. Chapman, C.H. & Shearer, P.M., 1989. Ray tracing in azimuthally anisotropic media - II. Quasi-shear wave coupling, Geophys. J. Int., 96, 65-83.
8. Coates, R.T. & Chapman, C.H., 1990. Quasi-shear wave coupling in weakly anisotropic 3-D media, Geophys. J. Int., 103, 301-320.
9. Gajewski, D. & Pšenčik, I., 1990. Vertical seismic profiles synthetics by dynamic ray tracing in laterally varying layered anisotropic structures, J. geophys. Res., 95, 11 301-11 315.
10. Guest, W.S., Thomson, C.J. & Kendall, J.-M., 1992. Displacements and rays for splitting S waves: perturbation theory and the failure of the ray method, Geophys. J. Int., 108, 372-378.
11. Hanyga, A., 1982. The kinematic inverse problem for weakly laterally inhomogeneous anisotropic media, Tectonophysics, 90, 253-262.
12. Hudson, J.A., 1981. Wave speeds and attenuation of elastic waves in material containing cracks, Geophys. J. R. astr. Soc., 64, 133-150.
13. Jech, J. & Pšenčik, I., 1989. First-order perturbation method for anisotropic media, Geophys. J. Int., 99, 369-376.
14. Kashtan, B.M., 1984. Propagation of Body Wase and Methods for Calculation of Wave Fields in Anisotropic Elastic Media, Nauka, Leningrad (in Russian).
15. Kiselev, A.P., 1994. Body waves in a weakly anisotropic medium - I. Plane waves, Geophys. J. Int., 118, 393-400.
16. Kravtsov, Yu.A., 1969. 'Quasiisotropic' approximation to geometrical optics, Sov. Phys. Dokl., 13, 1125-1127.
17. Kravtsov, Yu.A. & Orlov, Yu.I., 1990. Geometrical Optics of Inhomogeneous Media, Springer, New York, NY.
18. Naida, O.N., 1977a. Uniform geometrical-optics approximation of linear systems along rays of variable multiplicity, Radiophys. Quant. Electr., 20, 261-271.
19. Naida, O.N., 1977b The ray approximation in the acoustics of inhomogeneous anisotropic media, Sov. Phys. Dokl., 22, 575-577.
20. Naida, O.N., 1978. Geometrical acoustics of three-dimensionally inhomogeneous anisotropic media, Sov. Phys. Acoust., 24, 410-414.
21. Petrashen, G.I., 1980. Propagation of Waves in Anisotropic Media, Nauka, Leningrad (in Russian).
22. Petrashen, G.I. & Kashtan, B.M., 1984. Theory of body wave propagation in inhomogeneous anisotropic media, Geophys. J. R. astr. Soc., 76, 29-39.
23. Popov, M.M. & Pšenčik, I., 1978. Computation of ray amplitudes in inhomogeneous media with curved interfaces, Studia Geoph. Geod., 22, 248-258.
24. Sharafutdinov, V.A., 1994. Quasi-isotropic approximation in dynamic elasticity and some problems of geotomography, Russia Geol. Geophys., 35, 58-71.
25. Thomson, C.J., Kendall, J.-M. & Guest, W.S., 1992. Geometrical theory of shear-wave splitting: corrections to ray theory for interference in isotropic/anisotropic transitions, Geophys. J. Int., 108, 339-363.