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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 175–181 (Mi sjvm468)  

This article is cited in 1 scientific paper (total in 1 paper)

Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media

D. M. Vishnevsky, V. V. Lisitsa, V. A. Tcheverda

A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (506 kB) Citations (1)
References:
Abstract: This paper presents an original multi-scheme approach to numerical simulation of seismic wave propagation in models with anisotropic formations. In order to simulate wave propagation in anisotropic parts of the model, the Lebedev scheme is used. This scheme is anisotropy-oriented but highly intense in terms of computation. In the main part of the model, a highly efficient standard staggered grids scheme is proposed for use. The two schemes are coupled to ensure the reflection/transmission coefficients to converge with a prescribed order. The algorithm presented combines the universality of the Lebedev scheme and the efficiency of the standard staggered grid scheme.
Key words: finite difference schemes, differential approach, elastic wave equation, anisotropy.
Received: 27.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 144–149
DOI: https://doi.org/10.1134/S1995423912020073
Bibliographic databases:
Document Type: Article
UDC: 519.63+51-72+517.962.1+517.962.8
Language: Russian
Citation: D. M. Vishnevsky, V. V. Lisitsa, V. A. Tcheverda, “Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 175–181; Num. Anal. Appl., 5:2 (2012), 144–149
Citation in format AMSBIB
\Bibitem{VisLisTch12}
\by D.~M.~Vishnevsky, V.~V.~Lisitsa, V.~A.~Tcheverda
\paper Efficient finite difference multi-scheme approach for simulation of seismic waves in anisotropic media
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 175--181
\mathnet{http://mi.mathnet.ru/sjvm468}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 144--149
\crossref{https://doi.org/10.1134/S1995423912020073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862142940}
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  • https://www.mathnet.ru/eng/sjvm/v15/i2/p175
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Abstract page:375
    Full-text PDF :103
    References:56
    First page:14
     
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