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Matem. Mod., 2017, Volume 29, Number 3, Pages 81–94 (Mi mm3828)  

This article is cited in 3 scientific papers (total in 3 papers)

Relative phase permeability upscaling for super element model of petroleum reservoirs

A. B. Mazo, K. A. Potashev

Kazan (Volga Region) Federal University

Abstract: The technique of local upscaling of relative permeability functions developed. The technique minimizes the phase rates approximation error during waterflood simulation of layered oil reservoir by super element method. Local upscaling is performed for each superelement and is based on the two-dimensional two-phase problem on detailed computational grid. Special analytical form for the modified functions of relative permeability is proposed. All parameters are the solution of the problem of minimizing deviations averaged and approximated phase rates through the areas corresponding to the superelement faces. Upscaling efficiency at superelement simulation is shown in the example of the synthetic reservoir section containing the set of production and injection wells, as well as in the example of real oil reservoir sector.

Keywords: upscaling, relative phase permeability, two-phase flow in porous media, petroleum reservoir simulation, super element method.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-41-02698
15-41-02699_р_поволжье_а
BP Exploration 063100027


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English version:
Mathematical Models and Computer Simulations, 2017, 9:5, 570–579

Received: 08.10.2015

Citation: A. B. Mazo, K. A. Potashev, “Relative phase permeability upscaling for super element model of petroleum reservoirs”, Matem. Mod., 29:3 (2017), 81–94; Math. Models Comput. Simul., 9:5 (2017), 570–579

Citation in format AMSBIB
\Bibitem{MazPot17}
\by A.~B.~Mazo, K.~A.~Potashev
\paper Relative phase permeability upscaling for super element model of petroleum reservoirs
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 3
\pages 81--94
\mathnet{http://mi.mathnet.ru/mm3828}
\elib{http://elibrary.ru/item.asp?id=28922648}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 5
\pages 570--579
\crossref{https://doi.org/10.1134/S207004821705009X}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029756950}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. 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
    3. A. B. Mazo, K. A. Potashev, “Modelirovanie razrabotki neftyanogo plasta metodom superelementov s lokalnoi detalizatsiei resheniya”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 3, Izd-vo Kazanskogo un-ta, Kazan, 2017, 327–339  mathnet  elib
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