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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1868–1884
DOI: https://doi.org/10.33048/semi.2019.16.133 (Mi semr1174) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational mathematics

On wells modeling in filtration problems

M. I. Ivanova, I. A. Kremerba, Yu. M. Laevskya

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent'eva ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.133
Abstract: The work is devoted to one of the approaches of wells modeling within numerical oil reservoir simulation. The approach can be consider as fictitious domain method at mixed finite element approximation, which is used for non-stationary filtration processes of two phase fluid in Bukley–Leverett problem. The numerical results are compared with the results for the problem with usual Neumann conditions at the wells boundaries.
Keywords: injection well, production well, filtration problem, single phase liquid, two phase liquid, flow velocity, pressure, saturation, mixed finite element method.
Funding agency Grant number
Russian Science Foundation 19-11-00048
Received September 13, 2019, published December 6, 2019
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65M06
Language: Russian
Citation: M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky, “On wells modeling in filtration problems”, Sib. Èlektron. Mat. Izv., 16 (2019), 1868–1884
Citation in format AMSBIB
\Bibitem{IvaKreLae19}
\by M.~I.~Ivanov, I.~A.~Kremer, Yu.~M.~Laevsky
\paper On wells modeling in filtration problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1868--1884
\mathnet{http://mi.mathnet.ru/semr1174}
\crossref{https://doi.org/10.33048/semi.2019.16.133}
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