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Steady Infiltration from Point Sources, Cavities, and Basins¹

ABSTRACT

Steady infiltration from buried point sources and surface point sources is analyzed. The partial differential equations for the matric flux potential and the Stokes' stream function associated with axially symmetric flows are derived. The discussion is based on the assumption that the hydraulic conductivity is an exponential function of the pressure head. Explicit expressions for the matric flux potential, the Stokes' stream function, the flux, the pressure head, and the total head are obtained. Some features of the solutions for buried point sources, surface point sources, and gravity-free flows are compared. Related upward flows for which the soil becomes saturated everywhere are discussed briefly.

¹ Contribution from the Corn Belt Branch, Soil & Water Conservation Research Division, ARS, USDA, Madison, Wis., in cooperation with the Wisconsin Agr. Exp. Sta. and from the Department of Mechanics, The Johns Hopkins University, Baltimore, Md. Approved for publication by the Director of the Research Division of the College of Agricultural and Life Sciences, University of Wisconsin.

² Postdoctoral Fellow, The Johns Hopkins University; currently on leave from USDA, ARS, SWC at Madison, Wis.

Received for publication January 12, 1971. Accepted for publication May 30, 1971.