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.
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 объемAuthors
Name | Organization | |
Dil' Denis Olegovich | Tomsk State University | gradpower@list.ru |
Bubenchikov Alexey Мikhailovich | Tomsk State University | alexy121@mail.ru |
References

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).