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General Theorem on Steady Infiltration from Surface Sources, With Application to Point and Line Sources¹

ABSTRACT

A general theorem is established that enables the solution of the quasilinearized steady infiltration equation for any distribution of surface sources to be found immediately from the corresponding (mathematically simpler) solution for buried sources. It is introduced through the special cases of the surface line and point sources. The first of these solutions is new and the present derivation of the second is much simpler and more direct than that available hitherto. These solutions hold also for steady infiltration from suitably-shaped furrows and basins. Corollary to the general theorem, relations of the same type hold between the horizontal flux density components. Both the theorems and the special results apply also to processes such as diffusion in a uniform convective flow and sedimentation under gravity and Brownian motion.

¹ Contribution from CSIRO, Australia.

² Chief, CSIRO Division of Environmental Mechanics, P.O. Box 109, Canberra City, A.C.T., Australia 2601.

Received for publication March 31, 1971. Accepted for publication June 15, 1971.