Mathematical Models of Porous Flow
Abstract
**Please note that the full text is embargoed** ABSTRACT: In this paper a new, viable mathematical approach to the analysis
of porous flow is developed. Liquids and solids are modeled as
sets of particles which interact in accordance with both long
range (gravity) and short range (molecular type) forces. The
resulting nonlinear, n-body problem is resolved numerically on a
digital computer. A variety of fundamental porous flow type
problems, solved on the University of Texas at Arlington
IBM 370-155, are described and analyzed.