Geodesic
Application of a control-volume method for solving the problems of two-phase filtration in ``speed-saturation'' variables
Numerical methods and programming, Tome 7 (2006) no. 3, pp. 224-228

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An approach to solving the problems of motion of a two-phase liquid in porous media is considered in the framework of a control-volume method. A mathematical formulation of such a problem and an algorithm of its numerical implementation in speed-saturation variables are discussed. The feasibility of this approach is illustrated by some model examples describing the replacement of oil by water from uniform and non-uniform reservoirs.
Keywords: porous medium, two-phase liquid, control volume method, two-phase filtration
Mots-clés : uniform stratum. 
@article{VMP_2006_7_3_a2,
     author = {G. A. Nikiforov},
     title = {Application of a control-volume method for solving the problems of two-phase filtration in ``speed-saturation'' variables},
     journal = {Numerical methods and programming},
     pages = {224--228},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_3_a2/}
}
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G. A. Nikiforov. Application of a control-volume method for solving the problems of two-phase filtration in ``speed-saturation'' variables. Numerical methods and programming, Tome 7 (2006) no. 3, pp. 224-228. http://geodesic.mathdoc.fr/item/VMP_2006_7_3_a2/