Improved first-order approximation of group velocities in weakly anisotropic media

Studia Geophysica et Geodaetica

Volumn 48, Issue 1, 2004, Pages 199-213

  Farra, V ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

First order pertubation; Group velocity; Weak anisotropy

Indexed keywords

ANISOTROPIC MEDIUM; S-WAVE; SEISMIC WAVE; WAVE PROPAGATION;

EID: 1842532010     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:SGEG.0000015592.36894.3b     Document Type: Article

References (14)

1. Auld B.A., 1973. Acoustic Fields and Waves in Solids, Vol. 1. Wiley Interscience, New York.
2. Backus G.E., 1965. Possible forms of seismic anisotropy of the uppermost mantle under oceans. J. Geophys. Res., 70, 3429-3439.
3. Červený V., 1972. Seismic rays and rays intensities in inhomogeneous anisotropic media. Geophys. J. R. astr. Soc., 29, 1-13.
4. Every A.G. and Sachse W., 1990. Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements. J. Acoust. Soc. Am., 42, 8196-8205.
5. Farra V., 2001. High order perturbations of the phase velocity and polarization of qP and qS waves in anisotropic media. Geophys. J. Int., 147, 93-104.
6. Farra V. and Pšenčík I., 2003. Properties of the zero-, first- and higher-order approximations of attributes of elastic waves in weakly anisotropic media. J. Acoust. Soc. Am., 114, 1366-1378.
7. Jech J. and Pšenčík I., 1989. First-order approximation method for anisotropic media. Geophys. J. Int., 99, 369-376.
8. Mensch T. and Farra V., 1999. Computation of P-wave rays, traveltimes and slowness in orthorhombic media. Geophys. J. Int., 138, 244-256.
9. Mensch T. and Rasolofosaon P., 1997. Elastic-wave velocities in anisotropic media of arbitrary symmetry- generalization of Thomsen parameters ε, δ and γ. Geophys. J. Int., 128, 43-64.
10. Pšenčík I. and Gajewski D., 1998. Polarization, phase velocity and NMO velocity of qP waves in arbitrary weakly anisotropic media. Geophysics, 63, 1754-1766.
11. Pšenčík I. and Vavryčuk V., 2002. Approximate relation between the ray vector and the wave normal in weakly anisotropic media. Stud. Geophys. Geod., 46, 793-807.
12. Thomsen L., 1986. Weak anisotropy. Geophysics, 51, 1954-1966.
13. Tsvankin I.D., 1997. Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 62, 1292-1309.
14. Vavryčuk V., 1997. Elastodynamic and elastostatic Green tensors for homogeneous weak transversely isotropic media. Geophys. J. Int., 130, 786-800.