Errors due to the common ray approximations of the coupling ray theory

Studia Geophysica et Geodaetica

Volumn 48, Issue 1, 2004, Pages 117-142

  Klimes L ^a   Bulant, P ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Common ray approximation; Coupling ray theory; Inhomogeneous media; Perturbation theory; Seismic anisotropy; Travel time

Indexed keywords

ALGORITHM; ANISOTROPIC MEDIUM; ERROR ANALYSIS; HETEROGENEOUS MEDIUM; NUMERICAL MODEL; SEISMIC WAVE; TRAVEL TIME; WAVE PROPAGATION;

EID: 1842480042     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:SGEG.0000015588.43488.8e     Document Type: Article

References (24)

1. Arnaud, J.A., 1973. Hamiltonian theory of beam mode propagation. In: Wolf, E. (ed.): Progress in Optics, Vol. 11, pp. 247-304, North-Holland, Amsterdam-London.
2. Babich, V.M. and Buldyrev, N.J., 1972. Asymptotic Methods in Problems of Diffraction of Short Waves. Nauka, Moscow (in Russian).
3. Bakker, P.M., 2002. Coupled anisotropic shear wave raytracing in situations where associated slowness sheets are almost tangent. Pure Appl. Geophys., 159, 1403-1417.
4. Baumgärtel, H., 1985. Analytic Perturbation Theory for Matrices and Operators. Birkhäuser, Basel.
5. Bucha, V. and Bulant, P. (eds.), 2002. SW3D-CD-6 (CD-ROM). In: Seismic Waves in Complex 3-D Structures, Report 12, pp. 247-247, Dep. Geophys., Charles Univ., Prague, online at "http://sw3d.mff.cuni.cz".
6. Bucha, V., Bulant, P. and Klimeš, L. (eds.), 2001. SW3D-CD-5 (CD-ROM). In: Seismic Waves in Complex 3-D Structures, Report 11, pp. 357-357, Dep. Geophys., Charles Univ., Prague, online at "http://sw3d.mff.cuni.cz".
7. Bulant, P. and Klimeš, L., 2002. Numerical algorithm of the coupling ray theory in weakly anisotropic media. Pure Appl. Geophys., 159, 1419-1435.
8. Bulant, P. and Klimeš, L., 2004. Comparison of quasi-isotropic approximations of the coupling ray theory with the exact solution in the 1-D anisotropic "oblique twisted crystal" model. Stud. Geophys. Geod., 48, 97-116.
9. Červený, V., 1972. Seismic rays and ray intensities in inhomogeneous anisotropic media. Geophys. J. R. Astr. Soc., 29, 1-13.
10. Červený, V., 2001. Seismic Ray Theory. Cambridge Univ. Press, Cambridge.
11. Červený, V. and Hron, F., 1980. The ray series method and dynamic ray tracing system for three-dimensional inhomogeneous media. Bull. Seismol. Soc. Am., 70, 47-77.
12. Červený, V., Klimeš, L. and Pšenčík, I., 1988, Complete seismic-ray tracing in three-dimensional structures. In: Doornbos, D.J. (ed.): Seismological Algorithms, pp. 89-168, Academic Press, New York.
13. Coates, R.T. and Chapman, C.H., 1990. Quasi-shear wave coupling in weakly anisotropic 3-D media. Geophys. J. Int., 103, 301-320.
14. Gajewski, D. and Pšenčík, I., 1990. Vertical seismic profile synthetics by dynamic ray tracing in laterally varying layered anisotropic structures. J. Geophys. Res., 95B, 11301-11315.
15. Klimeš, L., 2002. Second-order and higher-order perturbations of travel time in isotropic and anisotropic media. Stud. Geophys. Geod., 46, 213-248.
16. Klimeš, L., 2003. Common ray tracing and dynamic ray tracing for S waves in a smooth elastic anisotropic medium. In: Seismic Waves in Complex 3-D Structures, Report 13, pp. 119-141, Dep. Geophys., Charles Univ., Prague, online at "http://sw3d.mff.cuni.cz".
17. Luneburg, R.K., 1944. Mathematical Theory of Optics. Lecture notes, Brown University, Providence, Rhode Island. Reedition: University of California Press, Berkeley and Los Angeles, 1964.
18. Popov, M.M. and Pšenčík, I., 1978a. Ray amplitudes in inhomogeneous media with curved interfaces. Travaux Instit. Géophys. Acad. Tchécosl. Sci. No. 454, Geofys. Sborník, 24, 111-129, Academia, Praha.
19. Popov, M.M. and Pšenčík, I., 1978b. Computation of ray amplitudes in inhomogeneous media with curved interfaces. Stud. Geophys. Geod., 22, 248-258.
20. Pšenčík, I., 1998a. Green's functions for inhomogeneous weakly anisotropic media. Geophys. J. Int., 135, 279-288.
21. Pšenčík, I., 1998b. Package ANRAY, version 4.10. In: Seismic Waves in Complex 3-D Structures, Report 7, pp. 403-404, Dep. Geophys., Charles Univ., Prague, online at "http://sw3d.mff.cuni.cz".
22. Pšenčík, I. and Dellinger, J., 2001. Quasi-shear waves in inhomogeneous weakly anisotropic media by the quasi-isotropic approach: A model study. Geophysics, 66, 308-319.
23. Tarantola, A., 1987. Inversion of travel times and seismic waveforms. In: Nolet, G. (ed.): Sesmic Tomography, pp. 135-157, D. Reidel Publ. Co., Dordrecht.
24. Vavryčuk, V., 2001. Ray tracing in anisotropic media with singularities. Geophys. J. Int., 145, 265-276.