Two-phase mixing in heterogeneous porous media

Sergey Skachkov, Mikhail Panfilov & Sergey Skachkov
For a two-phase immiscible flow through a heterogeneous porous medium a macroscale model of first order is derived by a two-scale homogenization method while capturing the effects of fluid mixing. The capillary pressure is taken in consideration. An asymptotic two-scale homogenization method is applied which derives homogenization equations as a two-scale limit of the system when the medium heterogeneity tends to zero. The obtained macroscale flow equation has revealed that the mixing is manifested in...
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