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A Generalized Solution to Infiltration¹

ABSTRACT

A generalized solution to the moisture flow (Richards') equation is developed for infiltration. The equation is expressed in terms of dimensionless time, depth, and water content. The reduced form applies for the hydraulic functions of van Genuchten or of Brooks and Corey as well as to other scaled forms and the solution utilizes the procedure of Philip. Answers are presented in concise tables which, in principle, allow for finding moisture profiles, wetting front, intake rate and cumulative intake for a variety of soils and for varying initial water contents. For application, specifically measured hydraulic conductivities can be best-fitted to the forms used here or generalized empirical values can be used from the literature. Thus, either specific or generic parameters may be used, depending on availability for a given problem.

¹ Ariz. Agric. Exp. Stn. Paper no. 3586. Support was from Western Regional Project W-155 and funds provided by the U.S. Dep. of Interior, Office of Water Resource Technology, as authorized by the Water Resources Research Act of 1964. Project B-097-ARIZ.

² Dept. of Soils, Water & Engineering, Dept. of Mathematics, and Dept. of Soils, Water & Eng., respectively, The Univ. of Arizona, Tucson, AZ 85721.

Received for publication March 19, 1984. Accepted for publication July 23, 1984.

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