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Matematicheskoe modelirovanie, 2010, Volume 22, Number 11, Pages 109–122 (Mi mm3044)  

This article is cited in 5 scientific papers (total in 5 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)
References:
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.
Received: 15.03.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 3, Pages 399–409
DOI: https://doi.org/10.1134/S2070048211030070
Bibliographic databases:
Document Type: Article
UDC: 519.22
Language: Russian
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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  • https://www.mathnet.ru/eng/mm3044
  • https://www.mathnet.ru/eng/mm/v22/i11/p109
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    References:84
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