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arXiv · 1601.00910

New non-equilibrium matrix imbibition equation for Kondaurov's double porosity model

Andrey Konyukhov·Leonid Pankratov
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Abstract

The paper deals with the global Kondaurov double porosity model describing a non-equilibrium two-phase immiscible flow in fractured-porous reservoirs when non-equilibrium phenomena occur in the matrix blocks, only. It is shown that the homogenized model can be represented as usual equations of two-phase incompressible immiscible flow, except for the addition of two source terms calculated by a solution to a local problem which is a boundary value problem for a non-equilibrium imbibition equation given in terms of the real saturation and a non-equilibrium parameter.

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Andrey Konyukhov, Leonid Pankratov. 2015-12-29. New non-equilibrium matrix imbibition equation for Kondaurov's double porosity model. https://doi.org/10.1016/j.crme.2016.02.011

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