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Water Movement in a Finite Layer: Absorption for Constant Water Content at the Surfaces¹

ABSTRACT

An accurate, analytical formulation describes very simply the outflow of water from a soil layer when the potentials (water contents) are maintained constant at both surfaces. The analytical formulation is adapted from a previously developed approach to the present problem. The accuracy of the results is checked by comparison with a precise numerical simulation which is greatly simplified for a Brooks and Corey type diffusivity. It is suggested that a laboratory experiment using this configuration would yield the soil properties relevant for adsorption.

¹ Contribution from Institut fur Mathematik, Universitat der Bundeswehr, Munchen, Werner-Heisenberg-Weg 39, 8014 Neubiberg, West Germany.

² Professor, Institut fur Mathematik; Professor, Dep. of Agricultural Engineering, Cornell Univ., Ithaca, NY 14853; Senior Lecturer and Research Assistant, School of Australian Environmental Studies, Griffith Univ., Brisbane, Queensland 4111, Australia; and Research Assistant, Institut fur Mathematick, respectively.

Received for publication January 30, 1986.