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Flux-Concentration Relation-Based Solution of Constant-Flux Infiltration Equation: I. Infiltration into Nonuniform Initial Moisture Profiles¹

ABSTRACT

The quasi-analytical solution of the infiltration equation based on the flux-concentration relation for constant flux condition and initially uniform water content profile is extended here to nonuniform moisture profiles for fluxes either smaller or greater than the saturated hydraulic conductivity. In the latter case, the solution is developed for the postponding stage. It is shown that the measured flux-concentration relation is well-approximated by F(*) = * and that no significant time dependence can be observed. The quasi-analytical solution is then successfully compared with both laboratory experiments performed on a sandy soil column and numerical solution of the Richards equation for the nonponding, preponding, and postponding stages of infiltration.

¹ Contribution from Institut de Mécanique – B.P. 68, 38 402 Saint Martin D'Heres Cédex, Grenoble, France

² Postgraduate Student on leave from Ecole Nationale du Génie Rural et des Eaux et des Forêts, Assistant Teacher, and Research Scientist, respectively.

Received for publication March 1, 1983. Accepted for publication October 6, 1983.

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