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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 694–702
DOI: https://doi.org/10.33048/semi.2021.18.049 (Mi semr1390) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Computational mathematics

Numerical solution of the solute transfer problem in porous elastic clay shale

B. Kh. Imomnazarova, A. A. Mikhailovb, I. Q. Khaydarovc, A. E. Kholmurodovd

a Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Lavrentieva ave., Novosibirsk, 630090, Russia
c Chirchik State Pedagogical Institute of the Tashkent region, 104, Amir Temur str., Chirchik, 111700, Uzbekistan
d Karshi State University, 17, Kuchabag str., Karshi, 180100, Uzbekistan
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DOI: https://doi.org/10.33048/semi.2021.18.049
Abstract: This paper considers the solution to the problem of the transport of solvent and solute in a chemically inert elastically deformable rock, for which only changes in stress and pore pressure are taken into account. The chemistry of the saturating pore fluid has no direct effect on the rock deformation. Chemical effects are taken into account by changing the pore pressure and deformation of rocks in the transport equations. The numerical algorithm for solving the problem under consideration is based on a combination of the Laguerre integral transform and the finite difference method. The paper presents the results of numerical calculations for the model of the transport of a solute through a semi-permeable shale.
Keywords: porous medium, saturated fluid, elastic parameters, stress tensor, partial density, permeability, chemical potential.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00120
Received July 2, 2020, published June 15, 2021
Bibliographic databases:
Document Type: Article
UDC: 539.214
MSC: 86A17
Language: Russian
Citation: B. Kh. Imomnazarov, A. A. Mikhailov, I. Q. Khaydarov, A. E. Kholmurodov, “Numerical solution of the solute transfer problem in porous elastic clay shale”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 694–702
Citation in format AMSBIB
\Bibitem{ImoMikKha21}
\by B.~Kh.~Imomnazarov, A.~A.~Mikhailov, I.~Q.~Khaydarov, A.~E.~Kholmurodov
\paper Numerical solution of the solute transfer problem in porous elastic clay shale
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 694--702
\mathnet{http://mi.mathnet.ru/semr1390}
\crossref{https://doi.org/10.33048/semi.2021.18.049}
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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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