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 Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 4, Pages 133–148 (Mi uzku1343)

Mathematical model of fluid filtration to a multistage hydraulically fractured horizontal well

A. B. Mazo, K. A. Potashev, M. R. Khamidullin

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: This paper presents a three-dimensional numerical model based on the finite volume method for simulation of single-phase fluid filtration towards a multistage hydraulically fractured horizontal well (MHFHW). The impact of fracture and well characteristics on the well productivity is numerically investigated. The approximation method for multistage fracturing efficiency estimation is proposed. It is based on a 3D problem simplification to a one-dimensional partial differential model due to different kinds of flow symmetry in the near well-bore area. The resulting solution of the simplified problem is improved with the help of 3D simulation. The technique can be used for rapid multistage fracturing efficiency estimation. Furthermore, it can be embedded into generic oil reservoir simulation models.

Keywords: horizontal well, multistage hydraulic fracturing, one-phase filtration.

 Funding Agency Grant Number Russian Foundation for Basic Research 15-41-0269915-41-02698 British Petroleum 063100027

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Citation: A. B. Mazo, K. A. Potashev, M. R. Khamidullin, “Mathematical model of fluid filtration to a multistage hydraulically fractured horizontal well”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 4, Kazan University, Kazan, 2015, 133–148

Citation in format AMSBIB
\Bibitem{MazPotKha15} \by A.~B.~Mazo, K.~A.~Potashev, M.~R.~Khamidullin \paper Mathematical model of fluid filtration to a~multistage hydraulically fractured horizontal well \serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki \yr 2015 \vol 157 \issue 4 \pages 133--148 \publ Kazan University \publaddr Kazan \mathnet{http://mi.mathnet.ru/uzku1343} \elib{http://elibrary.ru/item.asp?id=25005287} 

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This publication is cited in the following articles:
1. 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
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