A. B. Mazo, K. A. Potashev, E. I. Kalinin, D. V. Bulygin, “Oil reservoir simulation with the superelement method”, Mat. Model., 25:8 (2013), 51

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Matematicheskoe modelirovanie, 2013, Volume 25, Number 8, Pages 51–64 (Mi mm3409)

This article is cited in 12 scientific papers (total in 12 papers)

Oil reservoir simulation with the superelement method

A. B. Mazo^a, K. A. Potashev^a, E. I. Kalinin^b, D. V. Bulygin^b

^a Kazan (Volga Region) Federal University
^b «Delta Oil Project» Ltd, Kazan

Full-text PDF (554 kB) Citations (12)

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Abstract: Theoretical background and practical experience of using the efficient three-dimensional superelement model for petroleum reservoir simulation are discussed. The presented model provides a hundredfold acceleration of two-phase flow numerical modeling due to the utilization of large-scale computational cells (superelements) number of which is comparable to number of wells in the oilfield. Sufficient accuracy of the numerical solution is gained as a result of considering the problem formulation in terms of averaged pressure and saturation fields and specification of averaged solution using fine nested grids around the wellbores.

Keywords: oil reservoir simulation, superelement method, two-phase flow in porous media, high performance computing, multiple calculations.

Received: 01.10.2012

Bibliographic databases:

Document Type: Article

UDC: 519.63:532.546

Language: Russian

Citation: A. B. Mazo, K. A. Potashev, E. I. Kalinin, D. V. Bulygin, “Oil reservoir simulation with the superelement method”, Mat. Model., 25:8 (2013), 51–64

Citation in format AMSBIB

\Bibitem{MazPotKal13}

\by A.~B.~Mazo, K.~A.~Potashev, E.~I.~Kalinin, D.~V.~Bulygin

\paper Oil reservoir simulation with the superelement method

\jour Mat. Model.

\yr 2013

\vol 25

\issue 8

\pages 51--64

\mathnet{http://mi.mathnet.ru/mm3409}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3202326}

Linking options:

https://www.mathnet.ru/eng/mm3409

https://www.mathnet.ru/eng/mm/v25/i8/p51

This publication is cited in the following 12 articles:

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
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
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
A. B. Mazo, K. A. Potashev, “Local refinement of the super element model of oil reservoir”, Georesury, 19:4 (2017), 323–330
M. Khamidullin, A. Mazo, K. Potashev, “Numerical simulation of a one-phase steady flow towards a multistage fractured horizontal well”, Lobachevskii J. Math., 38:5, SI (2017), 818–826
K. Potashev, “The use of ann for the prediction of the modified relative permeability functions in stratified reservoirs”, Lobachevskii J. Math., 38:5, SI (2017), 843–848
A. B. Mazo, K. A. Potashev, V. V. Baushin, D. V. Bulygin, “Numerical simulation of oil reservoir polymer flooding by the model of fixed stream tube”, Georesury, 19:1 (2017), 15–20
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
M. R. Khamidullin, “Chislennoe modelirovanie pritoka odnofaznoi zhidkosti k gorizontalnoi skvazhine s treschinami mnogostadiinogo gidrorazryva plasta”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 158, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2016, 287–301
A. B. Mazo, K. A. Potashev, M. R. Khamidullin, “Filtratsionnaya model pritoka zhidkosti k gorizontalnoi skvazhine s mnogostadiinym gidravlicheskim razryvom plasta”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 157, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2015, 133–148
Mazo A., Potashev K., Kalinin E., “Petroleum Reservoir Simulation Using Super Element Method”, World Multidisciplinary Earth Sciences Symposium, Wmess 2015, Procedia Earth and Planetary Science, 15, eds. Drusa M., Marschalko M., Yilmaz I., Segallini A., Ferrero A., Bednarik M., Elsevier Science BV, 2015, 482–487
K. A. Potashev, “Apskeiling otnositelnykh fazovykh pronitsaemostei v nesoobschayuschemsya sloistom plaste”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 156, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2014, 120–134

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

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