Tracing real-valued reference rays in anisotropic viscoelastic media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452103" target="_blank" >RIV/00216208:11320/22:10452103 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KErrzdo2_5" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=KErrzdo2_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11200-022-0906-6" target="_blank" >10.1007/s11200-022-0906-6</a>
Alternative languages
Result language
angličtina
Original language name
Tracing real-valued reference rays in anisotropic viscoelastic media
Original language description
The eikonal equation in an attenuating medium has the form of a complex-valued Hamilton-Jacobi equation and must be solved in terms of the complex-valued travel time. A very suitable approximate method for calculating the complex-valued travel time right in real space is represented by the perturbation from the reference travel time calculated along the real-valued reference rays to the complex-valued travel time defined by the complex-valued Hamilton-Jacobi equation. The real-valued reference rays are calculated using the reference Hamiltonian function. The reference Hamiltonian function is constructed using the complex-valued Hamiltonian function corresponding to a given complex-valued Hamilton-Jacobi equation. The ray tracing equations and the corresponding equations of geodesic deviation are often formulated in terms of the eigenvectors of the Christoffel matrix. Unfortunately, a complex-valued Christoffel matrix need not have all three eigenvectors at an S-wave singularity. We thus formulate the ray tracing equations and the corresponding equations of geodesic deviation using the eigenvalues of a complex-valued Christoffel matrix, without the eigenvectors of the Christoffel matrix. The resulting equations for the real-valued reference P-wave rays and the real-valued reference common S-wave rays are applicable everywhere, including S-wave singularities.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
<a href="/en/project/GA20-06887S" target="_blank" >GA20-06887S: Seismic waves in heterogeneous anisotropic viscoelastic media</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia Geophysica et Geodaetica
ISSN
0039-3169
e-ISSN
1573-1626
Volume of the periodical
66
Issue of the periodical within the volume
3-4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
21
Pages from-to
124-144
UT code for WoS article
000883430500003
EID of the result in the Scopus database
2-s2.0-85141995162