Asymptotic behaviour of one-dimensional flows through porous media

Asymptotic and numerical modelling of flows in fractured porous media

This study concerns some asymptotic models used to compute the flow outside and inside fractures in a bidimensional porous medium. The flow is governed by the Darcy law both in the fractures and in the porous matrix with large discontinuities in the permeability tensor. These fractures are supposed to have a small thickness with respect to the macroscopic length scale, so that we can asymptotic...

High temperature and pressure reactive flows through porous media

Fluid flows through fractured porous media along Beavers-Joseph interfaces

We study a fluid flow traversing a porous medium and obeying the Darcy’s law in the case when this medium is fractured in blocks by an ε-periodic (ε > 0) distribution of fissures filled with a Stokes fluid. These two flows are coupled by a Beavers-Joseph type interface condition. The existence and uniqueness of this flow in our ε-periodic structure are proved. As the small period of the distrib...

Lattice Boltzmann model for incompressible flows through porous media.

In this paper a lattice Boltzmann model is proposed for isothermal incompressible flow in porous media. The key point is to include the porosity into the equilibrium distribution, and add a force term to the evolution equation to account for the linear and nonlinear drag forces of the medium (the Darcy's term and the Forcheimer's term). Through the Chapman-Enskog procedure, the generalized Navi...

Flows through Nonhomogeneous Porous Media in an Isolated Environment

The nonhomogeneous gas or fluid flowing through a nonhomogeneous porous medium is studied. An interesting phenomenon is discussed which shows that the state of the flow is not affected by the surrounding environment if some hypotheses are made on the porosity of the gas, the viscosity, and the permeability of the medium. Such a state is called an isolated environment. The conditions under which...