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AGU: Water Resources Research

 
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Abstract

Application of the Stefan-Maxwell Equations to Determine Limitations of Fick's Law When Modeling Organic Vapor Transport in Sand Columns

Arthur L. Baehr

U.S. Geological Survey, West Trenton, New Jersey

Clifford J. Bruell

Department of Civil Engineering, University of Lowell, Lowell, Massachusetts

The organic component of the vapor phase of a porous medium contaminated by an immiscible organic liquid can be significant enough to violate the condition of a dilute species diffusing in a bulk phase assumed by Fick's law. The Stefan-Maxwell equations provide a more comprehensive model for quantifying steady state transport for a vapor phase composed of arbitrary proportions of its constituents. The application of both types of models to the analysis of column experiments demonstrates that use of a Fickian-based transport model can lead to significant overestimates of soil tortuosity constants. Further, the physical displacement of naturally occurring gases (e.g., O2), predicted by the Stefan-Maxwell model but not by application of Fick's Law, can be attributed improperly to a sink term such as microbial degradation in a Fickian-based transport model.

Received 20 July 1989; accepted 7 December 1989; .

Citation: Baehr, A. L., and C. J. Bruell (1990), Application of the Stefan-Maxwell Equations to Determine Limitations of Fick's Law When Modeling Organic Vapor Transport in Sand Columns, Water Resour. Res., 26(6), 1155–1163.

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