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A Mathematical Treatment of Infiltration from a Line Source into an Inclined Porous Medium¹

ABSTRACT

An exact mathematical solution is obtained for two-dimensional steady infiltration from a line source into an inclined porous medium with an impermeable lower boundary. Unsaturated hydraulic conductivity is assumed to be an exponential function of pressure head. Equations for a stream function and the pressure head are developed and stream lines and contours of constant pressure head are plotted for a sandy soil and a clay soil using inclinations of 5° and 20° from horizontal.

¹ Contribution from the Department of Mathematics Colorado State University Fort Collins, CO 80523.

² Associate Professor.

Received for publication August 4, 1977. Accepted for publication May 30, 1978.