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A Mathematical Investigation of Steady Infiltration from Line Sources¹

ABSTRACT

The objective of this study is to develop equations which can be used in the design of subsurface irrigation systems. This first paper deals with the physics of steady infiltration from a distribution of line sources which lie in a horizontal plane and are parallel and equally spaced. The analytical solution describes the flow from the line sources in the presence of uniform infiltration or evaporation at the soil surface. To increase the utility of the solution, the equations for matric flux potential and stream function are written in dimensionless form.

¹ Contribution from the Colorado State Univ. Exp. Sta. and the Colorado-Wyoming Area Office, ARS, USDA.

² Assistant Professor, Dep. of Mathematics, Colorado State Univ., and Agricultural Engineer, USDA, Watkinsville, Georgia 30677, formerly located at USDA, Fort Collins, Colorado, respectively.

Received for publication November 20, 1972. Accepted for publication March 27, 1973.