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

TL;DR

This paper introduces a new non-equilibrium matrix imbibition equation for Kondaurov's double porosity model, enhancing the understanding of non-equilibrium phenomena in fractured-porous reservoirs with a homogenized approach.

Contribution

It develops a novel non-equilibrium imbibition equation integrated into the double porosity model, accounting for non-equilibrium effects specifically in matrix blocks.

Findings

Homogenized model includes two source terms from a local boundary value problem.

The new equation accurately describes non-equilibrium imbibition in matrix blocks.

Enhanced modeling of two-phase flow in fractured reservoirs.

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.