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Title:Statistical porous media hydrodynamics
Author(s):Scheidegger, Adrian E.
Contributor(s):University of Illinois at Urbana-Champaign
Water resource development
Water resource development--Illinois
Statistical mechanics
Porous media
Probability theory
Stochastic processes
Abstract:An investigation was made of the stochastic aspects of single and multiple phase flow through porous media. The complete correspondence between transport theory and thermodynamics has been established, and the corollaries of the thermodynamic stability conditions in transport theory have been investigated. A further development of the usual correspondence between transported quantities and thermodynamics has been obtained by an attempt to extend the theory to non-positive definite transported quantities. The theory has then been applied to flow through porous media, as exemplified by groundwater flow. A general investigation has been made of the possibility of the development of a steady state in frontal displacement processes in porous media with and without "fingers", with the result that stabilization appears impossible. Finally, a new type of statistical model for flow through porous media was investigated, based on a random ensemble of topological graphs.
Issue Date:1968-07-01
Publisher:University of Illinois at Urbana-Champaign. Water Resources Center
Genre:Report (Grant or Annual)
Sponsor:U.S. Department of the Interior
U.S. Geological Survey
Rights Information:Copyright 1968 Adrian E. Scheidegger
Date Available in IDEALS:2016-09-28

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