MATHEMATICA BOHEMICA, Vol. 136, No. 4, pp. 395-403, 2011

Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium

Radek Fučík, Jiří Mikyška

Radek Fučík, Jiří Mikyška Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Praha, e-mail: radek.fucik@fjfi.cvut.cz

Abstract: 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.

Keywords: dynamic capillary pressure, two-phase flow in porous media, immiscible displacement in porous media, finite volume method

Classification (MSC 2010): 65N06, 35K55


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