Publicado 12 números por año
ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508
Indexed in
Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium
SINOPSIS
The article presents a comparison of a semianalytical and a numerical approach to a one-dimensional flow-function model of two-phase flow through a homogeneous porous medium which is used for validation of more complex numerical models of two-phase flow. The flow-function model equation can be treated analytically to obtain an implicit formula for the saturation, which is resolved iteratively. This approach, originally derived by McWhorter and Sunada (1990; 1992), is used in its improved version so that we are able to readily obtain the wetting-phase saturation for all parameter values. To enlarge the class of admissible boundary and initial conditions, we propose another approach which relies on a numerical algorithm which solves the flow-function model equation, based on the finite-difference method in space and time, yielding values of the solution at given time moments and on a spatial grid of positions. Our approach is demonstrated in a series of one-dimensional computations showing the accuracy, efficiency, and generality of the proposed algorithms.
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Lei Zhengdong , Gong Bin , Wang Fang , Wang Tingting , Li Qianshan , A Dynamic Discrete Fracture Model for Fluid Flow in Fractured Low-Permeability Reservoirs, Day 3 Wed, September 16, 2015, 2015. Crossref
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Fan Xiaolin, Salama Amgad, Sun Shuyu, A locally and globally phase-wise mass conservative numerical algorithm for the two-phase immiscible flow problems in porous media, Computers and Geotechnics, 119, 2020. Crossref
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Fučík Radek, Mikyška Jiří, Discontinous Galerkin and Mixed-Hybrid Finite Element Approach to Two-Phase Flow in Heterogeneous Porous Media with Different Capillary Pressures, Procedia Computer Science, 4, 2011. Crossref