Calculation of the amplitudes of elastic waves in anisotropic media in Cartesian or ray-centred coordinates

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404493" target="_blank" >RIV/00216208:11320/19:10404493 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7XUJJUg07N" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7XUJJUg07N</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11200-018-1251-7" target="_blank" >10.1007/s11200-018-1251-7</a>

Result language

angličtina

Original language name

Calculation of the amplitudes of elastic waves in anisotropic media in Cartesian or ray-centred coordinates

Original language description

We derive various expressions for the amplitude of the ray-theory approximation of elastic waves in heterogeneous anisotropic media, and show their mutual relations. The amplitude of a wavefield with general initial conditions can be expressed in terms of two paraxial vectors of geometrical spreading in Cartesian coordinates, and in terms of the 2x2 matrix of geometrical spreading in ray-centred coordinates. The amplitude of the Green tensor can be expressed in six different ways: (a) in terms of the paraxial vectors corresponding to two ray parameters in Cartesian coordinates, (b) in terms of the 2x2 paraxial matrices corresponding to two ray parameters in ray-centred coordinates, (c) in terms of the 3x3 upper right submatrix of the 6x6 propagator matrix of geodesic deviation in Cartesian coordinates, (d) in terms of the 2x2 upper right submatrix of the 4x4 propagator matrix of geodesic deviation in ray-centred coordinates, (e) in terms of the 3x3 matrix of the mixed second-order spatial derivatives of the characteristic function with respect to the source and receiver Cartesian coordinates, and (f) in terms of the 2x2 matrix of the mixed second-order spatial derivatives of the characteristic function with respect to the source and receiver ray-centred coordinates. The step-by-step derivation of various equivalent expressions, both known or novel, elucidates the mutual relations between these expressions.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10500 - Earth and related environmental sciences

Project

<a href="/en/project/GA16-05237S" target="_blank" >GA16-05237S: Seismic waves in inhomogeneous weakly anisotropic media</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

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

63

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

18

Pages from-to

229-246

UT code for WoS article

000469250500004

EID of the result in the Scopus database

2-s2.0-85067649391