SSSAJ Journal of Natural Resources and Life Sciences Education
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Published in Soil Sci Soc Am J 38:573-576 (1974)
© 1974 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Solution to the One-Dimensional Linear Moisture Flow Equation with Water Extraction1

A. W. Warrick2

ABSTRACT

The one-dimensional, steady-state moisture flow equation is solved for arbitrary plant water withdrawal functions using the matric flux potential of earlier investigators to obtain a linearized form. A semi-infinite flow medium and a finite-depth medium overlying a shallow water table are considered with the surface boundary condition taken as a flux. Tables are presented giving the matric flux potential (from which the pressure head is easily determined) for several withdrawal functions. Numerical examples show the effects of different surface fluxes and rooting depths on the matric flux potential and pressure-head profiles. The results are particularly relevant for high-frequency irrigation.


NOTES

1 Arizona Agr. Exp. Sta. Paper no. 2217. Support was from Western Regional Project W-128 and funds provided by the United States Department of the Interior, Office of Water Resources Research, as authorized under the Water Resources Research Act of 1964, Project B-035-ARIZ.

2 Associate Professor, Department of Soils, Water and Engineering, The University of Arizona, Tucson, Ariz. 85721.

Received for publication November 19, 1973. Accepted for publication March 11, 1974.







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Copyright © 1974 by the Soil Science Society of America.