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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.
Keywords:
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