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Time-Dependent Linearized Infiltration: II. Line Sources¹

ABSTRACT

Water flow from line sources is analyzed using a linearized form of the moisture flow equation. Both single and parallel line sources are considered. Results are particularly relevant for high-frequency irrigation, such as by trickle sources, for which the soil moisture at any particular point varies over a relatively small range. Numerical calculations include lines of constant matric flux potential (or equal moisture content) as a function of time and the time-dependent response to a cyclic input. Although the results are developed for surface sources, the analysis may easily be extended to buried sources.

¹ Arizona Agricultural Experiment Station Paper no. 2198. 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 Mathematics, and Associate Professor, Department of Soils, Water & Eng., respectively, The University of Arizona, Tucson, Ariz. 85721.

Received for publication November 6, 1973. Accepted for publication March 4, 1974.