RT Journal Article
ID 75489d022d9a6bac
A1 Benes, Michal
A1 Fucik, Radek
A1 Mikyska, Jiri
A1 Illangasekare, Tissa H.
T1 Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium
JF Journal of Porous Media
JO JPM
YR 2009
FD 2009-11-13
VO 12
IS 12
SP 1139
OP 1152
AB 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.
PB Begell House
LK http://dl.begellhouse.com/journals/49dcde6d4c0809db,071fe90749c007b9,75489d022d9a6bac.html