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Flow from a Line Source above a Shallow Water Table¹

ABSTRACT

An analytical solution is developed for a buried line source with an underlying constant potential surface. The geometry is appropriate to describe flow from a trickle or subsurface irrigation system of porous pipe or emitters spaced closely in a line above a shallow water table or in a lysimeter. Assumptions include steady-state conditions and a hydraulic conductivity exponentially related to the pressure head.

The soil water pressure head distribution is calculated for two geometries, one for which the water table dominates over the line source throughout the flow medium, and a second for which most of the flow region is as if the source were above an infinitely deep lower boundary.

¹ Arizona Agric. Exp. Stn. Pap. no. 2697. Support was from Western Regional Project W-128 and funds provided by the U.S. Dep. of the Interior, Office of Water Resour. Res., as authorized under the Water Resour. Res. Act of 1964, Project B-045-ARIZ.

² Professor, Dep. of Soils, Water and Eng. and Professor, Dep. of Math., respectively, The Univ. of Arizona, Tucson, AZ 85721.

Received for publication December 27, 1976. Accepted for publication June 14, 1977.