Statistical porous media hydrodynamics

Scheidegger, Adrian E.

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https://hdl.handle.net/2142/91628 Copy

Description

Title

Statistical porous media hydrodynamics

Author(s)

Scheidegger, Adrian E.

Contributor(s)

University of Illinois at Urbana-Champaign

Issue Date

1968-07-01

Keyword(s)

• Groundwater
• Aquifers
• Water resource development
• Water resource development--Illinois
• Statistical mechanics
• Pollution
• 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."

Publisher

University of Illinois at Urbana-Champaign. Water Resources Center

Type of Resource

text

Language

English

Permalink

http://hdl.handle.net/2142/91628

Sponsor(s)/Grant Number(s)

• U.S. Department of the Interior
• U.S. Geological Survey

Copyright and License Information

Copyright 1968 Adrian E. Scheidegger

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