General Non-Equilibrium Matrix Imbibition Equation for Kondaurov’s Double Porosity Model
Leonid Pankratov, A. V. Konyukhov, Anton Voloshin · 2017
The goal of the paper is to generalize our previous result concerning the derivation of a non-equilibrium matrix imbibition equation for the homogenized Kondaurov double porosity model in the case of small relaxation times τm, where the index m stands for the matrix part of the fractured porous reservoir. This equation is given in terms of the real saturation and the Barenblatt parameter. In this paper we obtain a general form of the of the non-equilibrium matrix imbibition equation involving the real saturation and Kondaurov’s non-equilibrium parameter, i.e., the principal unknowns of the model. This equation is now valid for arbitrary relaxation times τm including the case τm = +∞. The numerical tests of the model are also presented.