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Absorption of Water by Soil: The Constant Flux Boundary Condition¹

ABSTRACT

Absorption of water into soil as the result of a constant flux condition at the soil surface is examined.

Experiments for a fine sand show that the surface water content, movement of the wetting front, and the water content profiles may be predicted from the soil water diffusivity function using the notion of the flux-concentration relation of Philip (1973).

Reduced space and time variables X = V_ox and T = V_o^st are introduced. Use of these variables greatly simplifies treatment of the system and reveals that the surface water content and the reduced position of the wetting front are uniquely defined by T while the water content profiles at any value of T are unique in terms of X.

¹ Contribution from CSIRO, Australia.

² Senior Research Scientist, Senior Principal Research Scientist, and Senior Technical Officer, CSIRO Division of Environmental Mechanics, P.O. Box 821, Canberra City, A.C.T. 2601. Australia.

Received for publication May 22, 1978. Accepted for publication March 12, 1979.

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