Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2003, Volume 6, Number 4, Pages 415–429 (Mi sjvm203)  
This article is cited in 5 scientific papers (total in 5 papers)

Simulation of seismic wave propagation in heterogeneous media

B. G. Mikhailenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1221 kB) Citations (5)
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Abstract: The paper presents a review of numerical methods for calculation of seismic wave fields in heterogeneous elastic media. In addition, a special attention is being given to the method for the calculation of transient wave fields for viscoelastic media models. The method is based on a combination of the integral Laguerre transform (with respect to time) with the Fourier–Bessel transform along the radial coordinate and a finite difference technique with respect to the vertical coordinate. Some examples of the calculation of seismic wave fields are given.
Received: 19.06.2003
Bibliographic databases:
UDC: 550.344
Language: English
Citation: B. G. Mikhailenko, “Simulation of seismic wave propagation in heterogeneous media”, Sib. Zh. Vychisl. Mat., 6:4 (2003), 415–429
Citation in format AMSBIB
\Bibitem{Mik03}
\by B.~G.~Mikhailenko
\paper Simulation of seismic wave propagation in heterogeneous media
\jour Sib. Zh. Vychisl. Mat.
\yr 2003
\vol 6
\issue 4
\pages 415--429
\mathnet{http://mi.mathnet.ru/sjvm203}
\zmath{https://zbmath.org/?q=an:1042.86005}
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  • https://www.mathnet.ru/eng/sjvm/v6/i4/p415
    • This publication is cited in the following 5 articles:
    1. Terekhov A.V., “The Laguerre Finite Difference One-Way Equation Solver”, Comput. Phys. Commun., 214 (2017), 71–82  crossref  mathscinet  zmath  isi  scopus
    2. Terekhov A.V., “Spectral-Difference Parallel Algorithm For the Seismic Forward Modeling in the Presence of Complex Topography”, J. Appl. Geophys., 115 (2015), 206–219  crossref  isi  elib  scopus
    3. B. G. Mikhailenko, A. G. Fatyanov, “Numerical-analytical modeling of wave fields for complex subsurface geometries and structures”, Num. Anal. Appl., 7:2 (2014), 136–146  mathnet  crossref  mathscinet
    4. Terekhov A.V., “A Fast Parallel Algorithm for Solving Block-Tridiagonal Systems of Linear Equations Including the Domain Decomposition Method”, Parallel Comput., 39:6-7 (2013), 245–258  crossref  mathscinet  isi  elib  scopus
    5. Fatyanov A.G., Terekhov A.V., “High-performance modeling acoustic and elastic waves using the parallel Dichotomy Algorithm”, J Comput Phys, 230:5 (2011), 1992–2003  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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