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Matem. Mod., 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. Mazoa, K. A. Potasheva, E. I. Kalininb, D. V. Bulyginb

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

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.

Full text: PDF file (554 kB)
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Bibliographic databases:
UDC: 519.63:532.546
Received: 01.10.2012

Citation: A. B. Mazo, K. A. Potashev, E. I. Kalinin, D. V. Bulygin, “Oil reservoir simulation with the superelement method”, Matem. Mod., 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 Matem. Mod.
\yr 2013
\vol 25
\issue 8
\pages 51--64
\mathnet{http://mi.mathnet.ru/mm3409}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3202326}


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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. 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  mathnet
    2. 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  mathnet  elib
    3. 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  crossref  isi
    4. 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  mathnet  elib
    5. 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
    6. 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
    7. 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
    8. A. B. Mazo, K. A. Potashev, “Local refinement of the super element model of oil reservoir”, Georesury, 19:4 (2017), 323–330  crossref  isi
    9. 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  crossref  mathscinet  zmath  isi  scopus
    10. 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  crossref  mathscinet  zmath  isi  scopus
    11. 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  crossref  isi
    12. 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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