A simple model for fluid accumulation and flow in a porous medium
Authors:
Luther W. White
Musharraf Zaman
Affiliation:
Department of Mathematics University of Oklahoma, Norman, Oklahoma 73019, USA
School of Civil Engineering and Environmental Sciences University of Oklahoma, Norman, Oklahoma 73019, USA
Abstract:
A porous media model is derived describing the accumulation and flow of fluid within a domain. The model consists of a differential expression determining the saturated fluid subdomain and a relation describing the pressure distribution within that domain. The wellposedness and numerical solution of a simplified problem is presented and a validation using field rainfall outflow data collected from a highway roadbed is discussed.