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Matem. Mod., 2010, Volume 22, Number 6, Pages 84–98 (Mi mm2988)  

This article is cited in 4 scientific papers (total in 4 papers)

Simulation of multiphase fluid infiltration processes in a layered porous medium

N. V. Isupova, M. A. Trapeznikovab, N. G. Churbanovab, E. V. Shilnikovb

a Moscow Institute of Physics and Technology (State University)
b Institute for Mathematical Modelling RAS

Abstract: In the work multiphase fluid flows in a layered porous medium are investigated numerically taking into account capillary and gravity forces. Developed computational algorithms are approved by a number of test problems of two- and three-phase flows. The proposed approach can be employed to solve applied ecological problems connected with contamination of the soil and the ground water by petroleum products and other agents.

Keywords: two- and three-phase fluid flows, heterogeneous porous medium, infiltration, capillary forces, interface conditions.

Full text: PDF file (568 kB)
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English version:
Mathematical Models and Computer Simulations, 2011, 3:1, 35–45

Received: 09.06.2009

Citation: N. V. Isupov, M. A. Trapeznikova, N. G. Churbanova, E. V. Shilnikov, “Simulation of multiphase fluid infiltration processes in a layered porous medium”, Matem. Mod., 22:6 (2010), 84–98; Math. Models Comput. Simul., 3:1 (2011), 35–45

Citation in format AMSBIB
\Bibitem{IsuTraChu10}
\by N.~V.~Isupov, M.~A.~Trapeznikova, N.~G.~Churbanova, E.~V.~Shilnikov
\paper Simulation of multiphase fluid infiltration processes in a~layered porous medium
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 6
\pages 84--98
\mathnet{http://mi.mathnet.ru/mm2988}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 1
\pages 35--45
\crossref{https://doi.org/10.1134/S2070048211010054}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925934469}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Lyupa, D. N. Morozov, M. A. Trapeznikova, B. N. Chetverushkin, N. G. Churbanova, “Three phase filtration modeling by explicit methods on hybrid computer systems”, Math. Models Comput. Simul., 6:6 (2014), 551–559  mathnet  crossref  elib
    2. E. E. Myshetskaya, V. F. Tishkin, “Otsenki vliyaniya giperbolizatsii dlya uravneniya teploprovodnosti”, Preprinty IPM im. M. V. Keldysha, 2015, 016, 12 pp.  mathnet
    3. E. E. Myshetskaya, V. F. Tishkin, “Estimates of the hyperbolization effect on the heat equation”, Comput. Math. Math. Phys., 55:8 (2015), 1270–1275  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. E. V. Shilnikov, O. N. Bozorov, “Chislennoe issledovanie tochnosti i ustoichivosti metoda relaksatsii potokov”, Preprinty IPM im. M. V. Keldysha, 2019, 139, 12 pp.  mathnet  crossref
  • Математическое моделирование
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