Homogenization of a dual-permeability problem in two-component media with imperfect contact. (Q2343842)

The author considers as microscopic problem a weakly coupled system of Darcy-like equations for slightly compressible flows, posed for fluid velocities through a high-contrast periodic media. The system is linked via transmission conditions of Deresiewicz-Skalak type. The target of this paper - the derivation of a single macroscopic pressure model - is reached by a fine application of two-scale convergence arguments for a particular scaling of the microscopic model in terms of the small parameter \(\epsilon\). The choice of scaling describes what the author means by a high contrast in two microstructural phases that have an imperfect contact.