Geodesic
Numerical simulation of two-phase fluid filtration in heterogeneous media
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 33-40

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The paper deals with the numerical solution of problems of two-phase filtration. The statement of the problem is given in terms of the velocity, pressure and saturation. To approximate the velocity and pressure, we use the mixed finite element method. For discretizating the convective term in the equation for saturation, we apply the flow schemes. The results of the numerical solution of the model problem for heterogeneous media are presented.
Mots-clés : filtration, saturation
Keywords: pressure, velocity, veloсity, heterogeneous medium, finite element method, flow scheme. 
@article{SJIM_2017_20_2_a3,
     author = {V. I. Vasil'ev and M. V. Vasil'eva and Yu. M. Laevskii and T. S. Timofeeva},
     title = {Numerical simulation of two-phase fluid filtration in heterogeneous media},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {33--40},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a3/}
}
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V. I. Vasil'ev; M. V. Vasil'eva; Yu. M. Laevskii; T. S. Timofeeva. Numerical simulation of two-phase fluid filtration in heterogeneous media. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 2, pp. 33-40. http://geodesic.mathdoc.fr/item/SJIM_2017_20_2_a3/