On compressible and piezo-viscous flow in thin porous media

On compressible and piezo-viscous flow in thin porous media

In this paper, we study flow through thin porous media as in, e.g. seals or fractures. It is often useful to know the permeability of such systems. In the context of incompressible and iso-viscous fluids, the permeability is the constant of proportionality relating the total flow through the media to the pressure drop. In this work, we show that it is also relevant to define a constant permeabi...

On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media

We study the Cauchy problem for the system of one dimensional compressible adiabatic flow through porous media and the related diffusive problem. We introduce a new approach which combines the usual energy methods with special L1-estimates and use the weighted Sobolev norms to prove the global existence and large time behavior for the solutions of the problems. The asymptotic states for the sol...

Coupled Consolidation and Contaminant Transport in Compressible Porous Media

This paper presents an experimental and computational investigation of coupled consolidation and contaminant transport in compressible porous media. Numerical simulations were performed using the CST2 computational model in which a dual-Lagrangian framework is used to separately follow the motions of fluid and solid phases during consolidation. Diffusion and large strain consolidation tests wer...

Boundary Effects and Large Time Behavior for the System of Compressible Adiabatic Flow through Porous Media

An A urate Approximation to Compressible Flow in Porous Media with Wells