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Third-order Integral Relation Between Sorptivity and Soil Water Diffusivity Using Brutsaert's Technique¹

ABSTRACT

Integral relationships between sorptivity and weighted mean diffusivity have been usually justified by numerical tests. Optimization provides a justification on more fundamental ground, when diffusivity increases rapidly with water content. The present paper presents a further improvement on the optimization result and its precision is discussed for two general classes of soil-water diffusivities. The result should be useful to predict soil-water diffusivity from sorptivity measurements, especially when it can be postulated that the diffusivity has a well-defined (e.g., exponential) functional dependence on the water content.

¹ Contribution of the School of Australian Environmental Studies, Griffith University, Brisbane, Queensland 4111, Australia.

² Professor of Appl. Math., Senior Lecturer, and Post Graduate Student, respectively.

Received for publication November 13, 1979. Accepted for publication May 9, 1980.