Geodesic
Two-phase filtration in a~pipe filled with a~porous material
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2013), pp. 45-51

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Based on the analysis of the present-day state of works on the seepage theory, a mathematical model of two-phase flow in anisotropic porous medium is established. A numerical solution using the control volume method and Newton's iteration algorithm is proposed. As an example, one-dimensional developing motion of a gas-fluid medium in a homogeneous porous material is considered.
Keywords: porous volume, two-phase medium, water saturation, capillary pressure, control volume, nonlinear residuals, Newton's method. 
@article{VTGU_2013_5_a5,
     author = {D. O. Dil' and A. M. Bubenchikov},
     title = {Two-phase filtration in a~pipe filled with a~porous material},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {45--51},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_5_a5/}
}
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D. O. Dil'; A. M. Bubenchikov. Two-phase filtration in a~pipe filled with a~porous material. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2013), pp. 45-51. http://geodesic.mathdoc.fr/item/VTGU_2013_5_a5/