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Linearized Moisture Flow with Root Extraction Over Two-Dimensional Zones¹

ABSTRACT

A solution of Richards' equation is developed for flow from a two-dimensional, rectangular source or sink. The soil is assumed uniform with the unsaturated hydraulic conductivity exponentially related to pressure head. Steady-state conditions are used, although a time-dependent solution is discussed. The results are useful for approximating any two-dimensional, explicitly defined root extraction pattern. This is possible by superimposing several rectangles to give the desired effect. Calculations are rapid with negligible computer time. Several examples are given appropriate for trickle irrigation, including stratified uptake regions, noncontiguous extraction zones, and a nonsymmetric case.

¹ Arizona Agric. Exp. Stn. Paper no. 3667. Support was from Western Regional Project W-128 and funds provided by the United States Department of the Interior, as authorized by the Water Research and Development Act of 1964. Project B-097-ARIZ.

² Dep. of Soils, Water and Engineering and Dep. of Mathematics, respectively, The University of Arizona, Tucson, AZ 85721.

Received for publication October 11, 1982. Accepted for publication May 13, 1983.