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Matem. Mod., 2017, Volume 29, Number 6, Pages 89–102 (Mi mm3859)  

This article is cited in 2 scientific papers (total in 2 papers)

Absolute permeability upscaling for super element model of petroleum reservoir

A. B. Mazo, K. A. Potashev

Kazan (Volga Region) Federal University

Abstract: This paper presents a new method of local upscaling of absolute permeability for super element simulation of oil reservoir. Upscaling performed for each block of super element unstructured grid. To do this, the set of problems of steady state one phase flow solved on a fine computational grid with the initial scalar field of absolute permeability with various boundary conditions that reflect the specific variants of filtrational flow through the super element and take into account the presence or absence of boreholes in the coarse block. The resulting components of the effective permeability tensor in each super element found from the solution of the problem of minimizing the deviations of averaged on a detailed computational grid from approximated on a coarse super element grid normal flows through the super element faces. The results of using the method are demonstrated for reservoirs with periodic and non-periodic structure of absolute permeability field. The comparison with the traditional methods of local upscaling is performed.

Keywords: upscaling, absolute permeability, porous media, petroleum reservoir simulation, super element method.

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


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English version:
Mathematical Models and Computer Simulations, 2018, 10:1, 26–35

Received: 04.07.2016

Citation: A. B. Mazo, K. A. Potashev, “Absolute permeability upscaling for super element model of petroleum reservoir”, Matem. Mod., 29:6 (2017), 89–102; Math. Models Comput. Simul., 10:1 (2018), 26–35

Citation in format AMSBIB
\Bibitem{MazPot17}
\by A.~B.~Mazo, K.~A.~Potashev
\paper Absolute permeability upscaling for super element model of petroleum reservoir
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 6
\pages 89--102
\mathnet{http://mi.mathnet.ru/mm3859}
\elib{http://elibrary.ru/item.asp?id=29207729}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 1
\pages 26--35
\crossref{https://doi.org/10.1134/S207004821801009X}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042566971}


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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, “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
    2. T. F. Kireev, G. T. Bulgakova, “Protsedura apskeilinga dlya modelirovaniya skvazhin s treschinami gidrorazryva plasta”, Matem. modelirovanie, 31:3 (2019), 97–108  mathnet  crossref  elib
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