SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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A nonFickian coupled model for diffusion in porous media

G. Pena and J.A. Ferreira

Abstract
Diffusion processes in porous media are usually simulated considering the classical diffusion equation coupled with Darcy's law. In certain scenarios, the diffusion equation induces an anomalous behavior and consequently several improvements were introduced in the literature to overcome them. One approach is to replace the classical Fickian law for the mass flux by a differential equation that should be coupled with a mass conservation law. In this talk we consider models for diffusion process in porous media constructed coupling Darcy's law with the previous models. The qualitative behavior and numerical simulation will be addressed.

Organized by         Universidad de Valladolid     IMUVA