The momentum transfer condition that applies at the boundary between a porous medium
and a homogeneous fluid is developed as a jump condition based on the non-local form of …

A general form of the double porosity model of single phase flow in a naturally fractured
reservoir is derived from homogenization theory. The microscopic model consists of the …

Publisher Summary The chapter examines the process of transient heat conduction for a two-
phase system in terms of the method of volume averaging. Both one-and two-equation …

A review on the recent advances of the flow and transport phenomena in tight and shale
formations is presented in this work. Exploration of oil and gas in resources that were once …

The use of fractional derivatives as a mathematical tool towards the development of more
robust mathematical models in certain areas of reservoir engineering is gaining attention in …

In this paper we develop the averaged form of the Stokes equations in terms of weighting
functions. The analysis clearly indicates at what point one must choose a media-specific …

This paper presents two-and three-dimensional numerical solutions for the local closure
problems associated with the two-equation model for heat transfer in porous media. Results …

A procedure for develo** coarse‐scale continuum models from detailed fracture
descriptions is developed and applied. The coarse models are in the form of a generalized …

In this paper, we justify by periodic homogenization the double-porosity model for immiscible
incompressible, two-phase flow. The volume fraction of the fissured part and the nonfissured …

Coupled thermo-hydro-mechanical codes with the ability to model fractured materials are
used for predicting groundwater flow behavior in fractured aquifers containing thermal …