Review of the anisotropic interface ray propagator: Symplecticity, eigenvalues, invariants and applications

Studia Geophysica et Geodaetica

Volumn 48, Issue 1, 2004, Pages 47-73

  Moser, T J ^a  

^a Jason Geosystems   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC MEDIUM; EIGENVALUE; MATHEMATICAL ANALYSIS; MATRIX; RAY TRACING; SEISMIC WAVE; WAVE PROPAGATION;

EID: 1842427596     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:SGEG.0000015585.75630.21     Document Type: Article

References (17)

1. Arnold V.I., 1989. Mathematical Methods of Classical Mechanics. Springer Verlag, Second Edition.
2. Bakker P.M., 1996. Theory of Anisotropic Dynamic Ray Tracing in Ray-centred Coordinates. PAGEOPH, 148, 583-589.
3. Červený V., 2001. Seismic Ray Theory. Cambridge University Press.
4. Farra V., 1989. Ray perturbation theory for heterogeneous hexagonal anisotropic medium. Geophys. J. Int., 99, 723-738.
5. Farra V., Virieux J. and Madariaga R., 1989. Ray perturbation theory for interfaces. Geophys. J. Int., 99, 377-390.
6. Farra V. and Le Bégat S., 1995. Sensitivity of qP-wave traveltimes and polarization vectors to heterogeneity, anisotropy and interfaces. Geophys. J. Int., 121, 371-384.
7. Gajewski D. and Pšenčík I., 1990. Vertical Seismic Profile Synthetics by Dynamic Ray Tracing in Laterally Varying Layered Anisotropic Structures. J. Geophys. Res., 95, 11301-11315.
8. Goldstein H., 1980. Classical Mechanics. Addison-Wesley, Reading.
9. Golub G.H. and van Loan C.F., 1991. Matrix Computations. John Hopkins University Press, Second Edition.
10. Hairer E., Lubich C. and Wanner G., 2003. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations, Springer Verlag.
11. Hanyga A., Druzhinin A.B., Dzhafarov A.D. and Frøyland L., 2001. A Hamiltonian approach to asymptotic seismic reflection and diffraction modeling. Geophys. Prospect., 49, 213-227.
12. Jäger R., Mann J., Höcht G. and Hubral P., 2001. Common-reflection-surface stack: Image and attributes. Geophysics, 66, 97-109.
13. Landa E., Gurevich B., Keydar S. and Trachtman P., 1999. Application of multifocusing method for subsurface imaging. J. Appl. Geophys., 42, 283-300.
14. Moser T.J. and Pajchel J., 1997. Recursive seismic ray modelling: applications in inversion and VSP. Geophys. Prospect., 45, 885-908.
15. Norris A.N., 1987. A theory of pulse propagation in anisotropic elastic solids. Wave Motion, 9, 509-532.
16. Qin M.Z. and Chen J.B., 2000. Maslov asymptotic theory and symplectic algorithm. Chinese Journal of Geophysics, 43, 556-567.
17. Stoer J. and Bulirsch R., 1980. Introduction to Numerical Analysis. Springer Verlag.