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Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium. (English) Zbl 1249.65215
Summary: In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.

MSC:
65N06 Finite difference methods for boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
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