Geodesic
Mathematical model of fluid filtration to a multistage hydraulically fractured horizontal well
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 133-148

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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
Mots-clés : one-phase filtration. 
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     author = {A. B. Mazo and K. A. Potashev and M. R. Khamidullin},
     title = {Mathematical model of fluid filtration to a~multistage hydraulically fractured horizontal well},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {157},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a11/}
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A. B. Mazo; K. A. Potashev; M. R. Khamidullin. Mathematical model of fluid filtration to a multistage hydraulically fractured horizontal well. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 133-148. http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a11/