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Solution of the One-Dimensional Linear Moisture Flow Equation with Implicit Water Extraction Functions¹

ABSTRACT

Analytical solutions of the one-dimensional steady-state moisture flow equation are presented for several functions modeling soil water extraction. These functions depend directly on the matric flux potential and thus are implicit with depth. A constant surface flux was assumed. Graphs of the matric flux potential and cumulative uptake are given depicting the effect of model parameters and comparing different water extraction functions. The results are useful in obtaining a variety of water extraction distributions.

¹ Arizona Agric. Exp. Stn. Paper no. 2491. Support was from Western Regional Project W-128 and funds provided by the United States Dep. of the Interior, Office of Water Resources Res., as authorized under the Water Resources Res. Act of 1964, Project B-035-ARIZ.

² Professor, Dep. of Mathematics and Professor, Dep. of Soils, Water and Engineering, respectively, The Univ. of Arizona, Tucson, Az. 85721.

Received for publication July 16, 1975. Accepted for publication March 1, 1976.