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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 33–40
DOI: https://doi.org/10.17377/sibjim.2017.20.204 (Mi sjim956) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Numerical simulation of two-phase fluid filtration in heterogeneous media

V. I. Vasil'eva, M. V. Vasil'evaa, Yu. M. Laevskiib, T. S. Timofeevaa

a North-East Federal University, Kulakovskogo str., 48, 677027 Yakutsk
b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Acad. Lavrentyev ave., 6, 630090 Novosibirsk
Full-text PDF (448 kB) Citations (6)
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DOI: https://doi.org/10.17377/sibjim.2017.20.204
Abstract: The paper deals with the numerical solution of problems of two-phase filtration. The statement of the problem is given in terms of the velocity, pressure and saturation. To approximate the velocity and pressure, we use the mixed finite element method. For discretizating the convective term in the equation for saturation, we apply the flow schemes. The results of the numerical solution of the model problem for heterogeneous media are presented.
Keywords: filtration, pressure, velocity, saturation, veloсity, heterogeneous medium, finite element method, flow scheme.
Funding agency Grant number
Russian Science Foundation 15-11-10024
Received: 25.02.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 289–295
DOI: https://doi.org/10.1134/S1990478917020156
Bibliographic databases:
Document Type: Article
UDC: 519.688
Language: Russian
Citation: V. I. Vasil'ev, M. V. Vasil'eva, Yu. M. Laevskii, T. S. Timofeeva, “Numerical simulation of two-phase fluid filtration in heterogeneous media”, Sib. Zh. Ind. Mat., 20:2 (2017), 33–40; J. Appl. Industr. Math., 11:2 (2017), 289–295
Citation in format AMSBIB
\Bibitem{VasVasLae17}
\by V.~I.~Vasil'ev, M.~V.~Vasil'eva, Yu.~M.~Laevskii, T.~S.~Timofeeva
\paper Numerical simulation of two-phase fluid filtration in heterogeneous media
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 2
\pages 33--40
\mathnet{http://mi.mathnet.ru/sjim956}
\crossref{https://doi.org/10.17377/sibjim.2017.20.204}
\elib{https://elibrary.ru/item.asp?id=29116859}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 2
\pages 289--295
\crossref{https://doi.org/10.1134/S1990478917020156}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019663021}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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