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Steady Infiltration from Sources at Arbitrary Depth¹

ABSTRACT

This discussion of steady infiltration is based on the assumption that the hydraulic conductivity is an exponential function of the pressure head. The solution for infiltration from a single point source at arbitrary depth is presented. On the basis of this solution, J. R. Philip's superposition theorem for surface sources is generalized to an arbitrary distribution of sources at arbitrary depths. General expressions for the pressure head, the total head, and the components of the flux are also given.

¹ Contribution from the Corn Belt Branch, Soil & Water Conservation Research Division, ARS, USDA, Madison, Wis. 53706, in cooperation with The Johns Hopkins University, Baltimore, Md.

² Soil Scientist.

Received for publication May 24, 1971. Accepted for publication December 28, 1971.