Models of infiltration into homogeneous and fractal porous media with localized sources

Infiltration through porous media.

We study the kinetics of infiltration in which contaminant particles, which are suspended in a flowing carrier fluid, penetrate a porous medium. The progress of the "invader" particles is impeded by their trapping on active "defender" sites which are on the surfaces of the medium. As the defenders are used up, the invader penetrates further and ultimately breaks through. We study this process i...

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Infiltration of Initially Dry, Deformable Porous Media

The present paper studies the in ltration of an incompressible liquid in an initially dry (or partially dry), deformable spongeous material made of an incompressible constituent in the slugow approximation having in mind the application to some industrial processes involving ow through spongeous materials and, in particular, some composite materials manufacturing processes. The resulting initia...

Infiltration in Porous Media with Dynamic Capillary Pressure: Travelling Waves

We consider a model for non-static groundwater flow where the saturation-pressure relation is extended by a dynamic term. This approach together with a convective term due to gravity, results in a pseudo-parabolic Burgers type equation. We give a rigorous study of global travelling wave solutions, with emphasis on the role played by the dynamic term and the appearance of fronts.

Experimental Investigation of the Permeability and Inertial Effect on Fluid Flow through Homogeneous Porous Media

The value of the permeability in fluid flow through porous media is important for process investigation. In low Reynolds number, the classic Darcy’s law is suitable for simulation of fluid flow. In this paper, an experimental study for evaluation of preformed fiber permeability has been done. Also, the deviations from the classical Darcy law by experimental and numerical simulation of the N...