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Matematicheskoe modelirovanie, 2019, Volume 31, Number 4, Pages 33–56
DOI: https://doi.org/10.1134/S0234087919040038
(Mi mm4063)
 

This article is cited in 19 scientific papers (total in 19 papers)

The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)

I. B. Petrov, M. V. Muratov

Moscow Institute of Physics and Technology
References:
Abstract: In the review article the papers with methods of fractured formations exploration seismology direct problems solution are considered. The fractured formations are the potential carbonate-containing collectors, which are studied actively at present time. Because of high cost of field exploration works the numerical simulation is the important part of such researches leading to decrease of financial and temporary spends. The papers of traditional modeling methods based on effective models are considered. Also, the significant part of article is about works with use of methods developed by authors to solve considered range of problems. These methods are based on use of grid-characteristic method on unstructured triangle (in 2D-case) and tetrahedral (in 3D-case) meshes. The grid-characteristic numerical method describes the dynamical processes in exploration seismology problems the most exactly, because it takes into consideration the nature of wave processes. The used approach lets to make the correct computational algorithms on boundaries and contact boundaries of integration area. The important part of this article is about different fracture models used in practice. Result of numerical simulation with use of developed methods from papers of the authors are also represented in the article, as the important practical conclusions based on them.
Keywords: review article, numerical simulation, grid-characteristic method, unstructured meshes, exploration seismology, fractured media.
Funding agency Grant number
Russian Science Foundation 14-11-00263
Received: 29.11.2017
Revised: 25.06.2018
Accepted: 10.09.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 6, Pages 924–939
DOI: https://doi.org/10.1134/S2070048219060164
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. B. Petrov, M. V. Muratov, “The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)”, Matem. Mod., 31:4 (2019), 33–56; Math. Models Comput. Simul., 11:6 (2019), 924–939
Citation in format AMSBIB
\Bibitem{PetMur19}
\by I.~B.~Petrov, M.~V.~Muratov
\paper The application of grid-characteristic method in solution of fractured formations exploration seismology direct problems (review article)
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 4
\pages 33--56
\mathnet{http://mi.mathnet.ru/mm4063}
\crossref{https://doi.org/10.1134/S0234087919040038}
\elib{https://elibrary.ru/item.asp?id=37242383}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 6
\pages 924--939
\crossref{https://doi.org/10.1134/S2070048219060164}
Linking options:
  • https://www.mathnet.ru/eng/mm4063
  • https://www.mathnet.ru/eng/mm/v31/i4/p33
  • This publication is cited in the following 19 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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    Full-text PDF :112
    References:56
    First page:15
     
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