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Steady-State Seepage in a Hillside¹

ABSTRACT

The complex potential function is obtained for two-dimensional seepage of water through a hillside using conformal transformations. Two cases are considered: In the first a straight slope of finite length intersects an infinitely wide horizontal plane; in the second, a horizontal plane of finite width is between two symmetric hillsides. Flow nets and graphical relations characterize the flow patterns.

¹ Arizona Agricultural Experiment Station Paper 1993. Support was from Arizona Projects 0206-4151-94 and the US Agency for International Development (211d grant).

² Graduate Research Associate and Associate Professor, respectively, Dep. of Soils, Water & Engineering, Univ. of Arizona, Tucson 85721.

Received for publication October 24, 1972. Accepted for publication January 5, 1973.