Two-phase filtration in a pipe filled with a porous material | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2013. № 5(25).

Two-phase filtration in a pipe filled with a porous material

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.

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Keywords

Newton's method, nonlinear residuals, control volume, capillary pressure, water saturation, two-phase medium, porous volume, метод Ньютона, нелинейные невязки уравнений, контрольный объем, капиллярное давление, влагонасыщенность, двухфазная среда, пористый объем

Authors

NameOrganizationE-mail
Dil' Denis OlegovichTomsk State Universitygradpower@list.ru
Bubenchikov Alexey МikhailovichTomsk State Universityalexy121@mail.ru
Всего: 2

References

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Никитин К.Д. Метод конечных объемов для задачи конвекции-диффузии и моделей двухфазных течений: дис.. канд. физ.-мат. наук. М., 2010. 105 с.
Van Genuchten M.Th. A Closed-form equation for predicting the hydraulic conductivity of unsaturated soils // Soil Sci. Soc. Am. J. 1980. V. 44. P. 892-898.
Shikuo C. Displacement mechanism of the two-phase flow model for water and gas based on adsorption and desorption in coal seams / Chen Shikuo, Yang Tianhong, Wei Chenhui // Materials of Int. Symposium on Multi-field Coupling Theory of Rock and Soil Media
 Two-phase filtration in a pipe filled with a porous material | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2013. №  5(25).

Two-phase filtration in a pipe filled with a porous material | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2013. № 5(25).

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