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Published in Soil Sci Soc Am J 32:161-166 (1968)
© 1968 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Transport in Soils: The Balance of Mass1

P. A. C. Raats and A. Klute2

ABSTRACT

A treatment of transport in soils, based upon a continuum theory of mixtures, is proposed. Some of the general features of this continuum theory of mixtures and of its application to soils are discussed. A soil is regarded as a mixture of phases, e.g., an unsaturated soil is regarded as a mixture of a solid phase, an aqueous phase, and a gaseous phase. The idea of balance of mass is considered in some detail, in particular in relation to deformable soils. The integral balance of mass for a certain phase over a certain volume is formulated. From the integral balance of mass differential forms are deduced. The balance of mass for water in a deformable soil is derived. It is shown that under special circumstances this balance of mass reduces to special forms that appear in the literature.


NOTES

1 Contribution from the Illinois Agr. Exp. Sta., Urbana. This paper is largely based on a Ph.D. thesis (Raats, 1965). Presented before Div. S-1, Soil Science Society of America, Nov. 3, 1965, at Columbus, Ohio.

2 Research Soil Scientist (Physics), USDA, Madison, Wis., formerly Research Assistant, University of Illinois, and Professor of Soil Physics, University of Illinois, respectively.

Received for publication August 7, 1967. Accepted for publication August 8, 1967.







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