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Weak-anisotropy approximations of P-wave phase and ray velocities for anisotropy of arbitrary symmetry
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SYSNO ASEP 0458982 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weak-anisotropy approximations of P-wave phase and ray velocities for anisotropy of arbitrary symmetry Author(s) Farra, V. (FR)
Pšenčík, Ivan (GFU-E) ORCID, RIDSource Title Studia geophysica et geodaetica. - : Geofyzikální ústav AV ČR, v. v. i. - ISSN 0039-3169
Roč. 60, č. 3 (2016), s. 403-418Number of pages 16 s. Publication form Print - P Language eng - English Country CZ - Czech Republic Keywords weak anisotropy ; P-wave ; phase velocity ; ray velocity Subject RIV DC - Siesmology, Volcanology, Earth Structure Institutional support GFU-E - RVO:67985530 UT WOS 000382365100004 EID SCOPUS 84964199174 DOI 10.1007/s11200-015-1276-0 Annotation We test the accuracy of the previously derived weak-anisotropy approximations of the P-wave phase and ray (group) velocities. The formulae are of varying accuracy, and are applicable to weak or moderate anisotropy of arbitrary symmetry and orientation. They have a form of expressions for squares of phase velocity depending on the phase-velocity direction and of ray velocity depending on the ray-velocity direction. Both velocities are expressed in terms of three elements of the rotated Christoffel matrix, which depend linearly on the parameters specifying the medium, the weak-anisotropy parameters. The least accurate formulae are fully independent of the choice of a reference isotropic medium and depend linearly on weak-anisotropy parameters. The most accurate formulae depend only slightly on the ratio of S- and P-wave velocities of a reference medium, their dependence on weak-anisotropy parameters being quadratic. We show that the accuracy of the formulae is quite high, in fact, in some cases, it is close to the accuracy of the socalled anelliptic approximations, very accurate approximations based on a perturbation of the elliptical anisotropy. Workplace Geophysical Institute Contact Hana Krejzlíková, kniha@ig.cas.cz, Tel.: 267 103 028 Year of Publishing 2017
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