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Water Seepage Through Multilayered Anisotropic Hillside¹

ABSTRACT

A mathematical analysis is presented for the steady-state saturated flow through multilayered hillsides or soil beddings with a sloping surface. Each soil layer was considered anisotropic in nature, i.e., where and are the hydraulic conductivity in the vertical and horizontal directions, respectively. The method of solution is an analytical one and is based on the Gram-Schmidt orthonormalization technique. Potential and stream functions were obtained and flow nets are presented for two-layered geometries with varying degrees of anisotropy. The range of values chosen were = (1/25) to = 16 and the equivalent hydraulic conductivities for two soil layers K₁/K₂ were 1:1, 1:10, and 10:1. The selected cases considered illustrate the significance of the degree of anisotropy on the water flow pattern, the relative flow rate as well as the volume of water passing through individual soil layers. Moreover, the greatest influence on the relative flow rate was when the upper layer was anisotropic rather than the lower layer.

¹ Contribution from the Agronomy Dep., Louisiana Agric. Exp. Stn., Louisiana State Univ. Agric. Center, Baton Rouge, LA 70803.

² Professor of Soil Physics.

Received for publication January 29, 1986.

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