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Matem. Mod., 2010, Volume 22, Number 11, Pages 109–122 (Mi mm3044)  

This article is cited in 2 scientific papers (total in 2 papers)

Computation of dynamic processes in continuous media with a crack initiated by the near-surface disturbance using grid-characteristic method

I. E. Kvasov, S. A. Pankratov, I. B. Petrov

Moscow Institute of Physics and Technology (State University)

Abstract: The purpose of this article is to study the problem of the near-surface disturbance in a massive rock containing various heterogeneities – empty or fluid-filled cracks. Numerical solutions of problems of wave propagation in such a considerably heterogeneous media taking into account the plasticity of the material obtained. A review of all wave patterns, elastic and elastoplastic, presented. The problem of waves identification using seismograms obtained in the near-surface receiver investigated.
Grid-characteristic method for triangle meshes with formulation of boundary conditions on an interface between rock and crack, and also on free surfaces in an explicit form is used in this article. The offered numerical method has a great generality and is suitable for research of processes of interaction of seismic waves with heterogeneous inclusions, because it allows the most correct construction of computational algorithms for the boundaries of integration region and media.

Keywords: computational methods, computer technology, mathematical modeling, parallel computing, high-performance computing technology, continuum mechanics, dynamics.

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English version:
Mathematical Models and Computer Simulations, 2011, 3:3, 399–409

UDC: 519.22
Received: 15.03.2010

Citation: I. E. Kvasov, S. A. Pankratov, I. B. Petrov, “Computation of dynamic processes in continuous media with a crack initiated by the near-surface disturbance using grid-characteristic method”, Matem. Mod., 22:11 (2010), 109–122; Math. Models Comput. Simul., 3:3 (2011), 399–409

Citation in format AMSBIB
\Bibitem{KvaPanPet10}
\by I.~E.~Kvasov, S.~A.~Pankratov, I.~B.~Petrov
\paper Computation of dynamic processes in continuous media with a~crack initiated by the near-surface disturbance using grid-characteristic method
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 11
\pages 109--122
\mathnet{http://mi.mathnet.ru/mm3044}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 3
\pages 399--409
\crossref{https://doi.org/10.1134/S2070048211030070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928995043}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Levyant V.B., Petrov I.B., Kvasov I.E., “Chislennoe modelirovanie volnovogo otklika ot subvertikalnykh makrotreschin, veroyatnykh flyuidoprovodyaschikh kanalov”, Tekhnologii seismorazvedki, 2011, no. 4, 41–61  elib
    2. I. E. Kvasov, I. B. Petrov, “High-performance computer simulation of wave processes in geological media in seismic exploration”, Comput. Math. Math. Phys., 52:2 (2012), 302–313  mathnet  crossref  zmath  adsnasa  isi  elib  elib
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