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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 2, Pages 120–134 (Mi uzku1258)  
This article is cited in 3 scientific papers (total in 3 papers)

Upscaling of relative phase permeabilities in an isolated stratified reservoir

K. A. Potashev

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (1215 kB) Citations (3)
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Abstract: A method for construction of pseudo-functions of relative phase permeabilities in a stratified oil reservoir with impervious breaks is considered. The method is based on the direct modeling of two-phase flow neglecting capillary and gravitational forces and also compressibility of the porous matrix and fluids. An analytical form of the modified functions of relative phase permeabilities is proposed. The efficiency of the presented upscaling method is demonstrated on the model problem and the real oil-field simulation.
Keywords: two-phase flow, relative phase permeability, upscaling, rescaling, pseudo-functions, stratified reservoir.
Received: 03.04.2014
Document Type: Article
UDC: 519.63+532.546
Language: Russian
Citation: K. A. Potashev, “Upscaling of relative phase permeabilities in an isolated stratified reservoir”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 2, Kazan University, Kazan, 2014, 120–134
Citation in format AMSBIB
\Bibitem{Pot14}
\by K.~A.~Potashev
\paper Upscaling of relative phase permeabilities in an isolated stratified reservoir
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2014
\vol 156
\issue 2
\pages 120--134
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1258}
Linking options:
  • https://www.mathnet.ru/eng/uzku1258
  • https://www.mathnet.ru/eng/uzku/v156/i2/p120
    • This publication is cited in the following 3 articles:
    1. A. B. Mazo, K. A. Potashev, “Relative phase permeability upscaling for super element model of petroleum reservoirs”, Math. Models Comput. Simul., 9:5 (2017), 570–579  mathnet  crossref  elib
    2. A. B. Mazo, K. A. Potashev, “Absolute permeability upscaling for super element model of petroleum reservoir”, Math. Models Comput. Simul., 10:1 (2018), 26–35  mathnet  crossref  elib
    3. K. A. Potashev, L. R. Abdrashitova, “Uchet neodnorodnosti zavodneniya oblasti drenirovaniya skvazhiny pri krupnoblochnom modelirovanii razrabotki neftyanogo plasta”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2017, 116–129  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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