Analytical Treatment of Two-Phase Infiltration

by Richard L. Brustkern, Res. Assoc.; Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, CO,
Hubert J. Morel-Seytoux, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, CO,

Serial Information: Journal of the Hydraulics Division, 1970, Vol. 96, Issue 12, Pg. 2535-2548

Document Type: Journal Paper


An approximate analytical treatment for the problem of one-dimensional infiltration into a homogeneous porous medium is presented. Movement of both the air phase and the water phase is considered. The procedure assumes that capillary pressure can be neglected in the saturation equation, whereas it is retained in an integral equation for the unknown total flow. The two equations are solved in a step-wise manner to yield the saturation profile, and the infiltration rate at any time. Infiltration rate curves are obtained for a number of situations involving different boundary or initial conditions or both. Comparisons are made with results obtained from a finite difference solution.

Subject Headings: Infiltration | Dimensional analysis | Homogeneity | Porous media | Water management | Integrals | Integral equations | Pressurized flow

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