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Correspondence of Hydraulic Functions for Unsaturated Soils

Department of Soil and Water Science, 429 Shantz Bldg., Univ. of Arizona, Tucson 85721

* Corresponding author ( warrick{at}ccit.arizona.edu).

ABSTRACT

This study investigated the correspondence of hydraulic functions for unsaturated soils. The overall idea was to identify general properties and explore conditions for which alternative functions give the same or similar responses. Five commonly used empirical forms were examined in this context. The objective was to extend solutions based on particular forms of hydraulic models to more general conditions. For example, the commonly applied formula for steady-state flow of a disk infiltrometer assumes a quasi-linear form of Richards' equation. Another area of application is parameter identification and the choice of alternative models. In order for two sets of models to correspond, the zeroth and first moments of the soil water diffusivity, D, should be equal for the respective models. The zeroth moment is simply the integral of D with respect to water content across the range of interest and is closely related to sorptivity and capillary length. The first moment characterizes the shape of D.

This study supported in part by Western Regional Research Project W-155.

Received for publication March 8, 1993.

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