Weakly inhomogeneous plane waves in anisotropic, weakly dissipative media

Geophysical Journal International

Volumn 172, Issue 2, 2008, Pages 663-673

  Červený, Vlastislav ^a   Pšenčík, Ivan ^b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b GEOPHYSICAL INSTITUTE   (Czech Republic)

Author keywords

Seismic anisotropy; Seismic attenuation; Theoretical seismology; Wave propagation

Indexed keywords

SEISMIC ANISOTROPY; SEISMIC ATTENUATION; SEISMIC WAVE; VISCOELASTICITY; WAVE PROPAGATION;

EID: 38349083442     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2007.03644.x     Document Type: Article

References (37)

1. Aki, K. & Richards, P., 1980. Quantitative Seismology. Theory and Methods, Freeman, San Francisco.
2. Carcione, J.M., 2001. Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media, Pergamon, Amsterdam.
3. Carcione, J.M., 2007. Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media, Elsevier Science Ltd, Amsterdam.
4. Červený, V., 1982. Direct and inverse kinematic problems for inhomogeneous anisotropic media-linearization approach, Contrib. Geophys. Inst. Slov. Acad. Sci., 13, 127-133.
5. Červený, V., 2001. Seismic Ray Theory, Cambridge Univ. Press, Cambridge.
6. Červený, V., 2004. Inhomogeneous harmonic plane waves in viscoelastic anisotropic media, Stud. Geophys. Geod., 48, 167-186.
7. Červený, V., 2007. Reflection/transmission laws for slowness vectors in viscoelastic anisotropic media, Stud. Geophys. Geod., 51, 391-410.
8. Červený V. & Jech, J., 1982. Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media, J. Geophys., 51, 96-104.
9. Červený, V. & Pšenčík, I., 2005a. Plane waves in viscoelastic anisotropic media. I. Theory, Geophys. J. Int., 161, 197-212.
10. Červený, V. & Pšenčík, I., 2005b. Plane waves in viscoelastic anisotropic media. II. Numerical examples, Geophys. J. Int., 161, 213-229.
11. Červený, V. & Pšenčík, I., 2006a. Energy flux in viscoelastic anisotropic media, Geophys. J. Int., 166, 1299-1317.
12. Červený, V. & Pšenčík, I., 2006b. Particle motion of plane waves in viscoelastic anisotropic media, Russ. Geol. Geophys., 47, 551-562.
13. Červený, V., Klimeš, L. & Pšenčík, I., 2007. Attenuation vector in heterogeneous, weakly dissipative, anisotropic media, in Seismic Waves in Complex 3-D Structures, Report 17, pp. 195-212, Charles University, Faculty of Mathematics and Physics, Dept. of Geophysics, Prague. Available online at 'http://sw3d.mff.cuni.cz'.
14. Chapman, C.H. & Pratt, R.G., 1992. Traveltime tomography in anisotropic media: I. Theory, Geophys. J. Int., 109, 1-19.
15. Declercq, N.F., Briers, R., Degrieck, J. & Leroy, O., 2005. The history and properties of ultrasonic inhomogeneous waves, IEEE Trans. Ultrason., Ferroelectr. Freq. Contl., 52, 776-791.
16. Deschamps, M. & Assouline, P., 2000. Attenuation along the Poynting vector direction of inhomogeneous plane waves in absorbing and anisotropic solids, Acustica, 86, 295-302.
17. Deschamps, M. & Hosten, B., 1989. Génération de l'onde hétérogène de volume dans un liquide non absorbant, Acustica, 68, 92-96.
18. Farra, V., 1989. Ray perturbation theory for heterogeneous hexagonal anisotropic medium, Geophys. J. Int., 99, 723-737.
19. Farra, V., 1999. Computation of second-order traveltime perturbation by Hamiltonian ray theory, Geophys. J. Int., 136, 205-217.
20. Fedorov, F.I., 1968. Theory of Elastic Waves in Crystals, Plenum, New York.
21. Gajewski, D. & Pšenčík, I., 1992. Vector wavefield for weakly attenuating anisotropic media by the ray method, Geophysics, 57, 27-38.
22. Hayes, M.A. & Rivlin, R.S., 1974. Plane wave in linear viscoelastic materials. Quart. Appl. Math., 32, 113-121.
23. Hanyga, A., 1982. The kinematic inverse problem for weakly laterally inhomogeneous anisotropic media. Tectonophysics, 90, 253-262.
24. Helbig, K., 1994. Foundations of Anisotropy for Exploration Seismics. Pergamon, Oxford.
25. Jakobsen, M., Johansen, T.A. & McCann, C., 2003. The acoustic signature of fluid flow in complex porous media, J. appl. Geophys. 54, 219-246.
26. Jech, J. & Pšenčík, I., 1989. First-order perturbation method for anisotropic media, Geophys. J. Int., 99, 369-376.
27. Klimeš, L., 2002. Second-order and higher-order perturbations of travel time in isotropic and anisotropic media, Stud. Geophys. Geod., 46, 213-248.
28. Krebes, E.S. & Daley, P.F., 2007. Difficulties with computing anelastic plane wave reflection and transmission coefficients, Geophys. J. Int., 170, 205-216.
29. Krebes, E.S. & Le, L.H.T., 1994. Inhomogeneous plane waves and cylindrical waves in anisotropic anelastic media, J. geophys. Res., 99 (B12), 23899-23919.
30. Musgrave, M.I.P., 1970. Crystal Acoustics, Holden Day, San Francisco.
31. Nowack, R.L. & Pšenčík, I., 1991. Perturbation from isotropic to anisotropic heterogeneous media in the ray approximation, Geophys. J. Int., 106, 1-10.
32. Pšenčík, I. & Farra, V., 2005. First-order ray tracing for qP waves in inhomogeneous weakly anisotropic media, Geophysics, 70, D65-D75.
33. Pšenčík, I. & Farra, V., 2007. First-order P-wave ray synthetic seismograms in inhomogeneous weakly anisotropic media, Geophys. J. Int., 170, 1243-1252.
34. Thomson, C.J., 1997. Complex rays and wave packets for decaying signals in inhomogeneous, anisotropic and anelastic media, Stud. Geophys. Geod., 41, 345-381.
35. Zhu, Y.P. & Tsvankin, I., 2006, Plane-wave propagation in attenuative transversely isotropic media, Geophysics, 71, T17-T30.
36. Zhu, Y.P. & Tsvankin, I., 2007. Plane-wave attenuation anisotropy in orthorhombic media, Geophysics, 72, D9-D19.
37. Zhu, Y.P., Tsvankin, I., Dewangan, P. & van Wijk, K., 2007, Physical modeling and analysis of P-wave attenuation anisotropy in transversely isotropic media, Geophysics, 72, D1-D7.