A Discussion on the Transmission Conditions for Saturated Fluid Flow Through Porous Media With Fractal Microstructure

Abstract

The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two different deterministic models are introduced and rigorously analyzed. Also, numerical experiments for each of them are presented to verify the theoretically predicted behavior of the phenomenon and some probabilistic versions are explored numerically, to gain further insight on the phenomenon.

arXiv comment19 pages, 14 figures