Weak-anisotropy approximations of P-wave phase and ray velocities for anisotropy of arbitrary symmetry

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985530%3A_____%2F16%3A00458982" target="_blank" >RIV/67985530:_____/16:00458982 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s11200-015-1276-0" target="_blank" >http://dx.doi.org/10.1007/s11200-015-1276-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11200-015-1276-0" target="_blank" >10.1007/s11200-015-1276-0</a>

Result language

angličtina

Original language name

Weak-anisotropy approximations of P-wave phase and ray velocities for anisotropy of arbitrary symmetry

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DC - Seismology, volcanology and Earth structure

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Studia geophysica et geodaetica

ISSN

0039-3169

e-ISSN

—

Volume of the periodical

60

Issue of the periodical within the volume

3

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

16

Pages from-to

403-418

UT code for WoS article

000382365100004

EID of the result in the Scopus database

2-s2.0-84964199174