Title: A Model for Flow in the Fractured Porous
Media Based on Cellular-Automation
Author(s): A. Rodriguez, L. Dezhang and J-C.
Roegiers, The University of Oklahoma
Presentation: ISRM -- International Symposium
EUROROCK
Location: Ribeiro e Sousa & Grossmann, Balkema,
Rotterdam
Date: 1993
Abstract: The cellular automata approximation of
two-dimensional hydrodynamics is used to model viscous flow
driven along a fracture channel by suction at porous media
walls. Coupled fluid motions satisfying the Navier-Stokes
equations in the free space and Darcy's law in the permeable
walls are stimulated indicating slip at the common
boundaries. The slip velocity was found to be related to the
permeability of the walls in the way proposed by Saffman.
The numerical experiments show that the results are in
reasonable agreement with the perturbation solutions based
on the wall slip boundary condition proposed by Beavers and
Joseph.
