Extension of the Heaslet‐Alksne Technique to arbitrary soil water diffusivities

M. B. Parlange, S. N. Prasad, J-Y Parlange, M. J M Römkens

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Abstract

The Heaslet‐Alksne technique solved the nonlinear diffusion equation by expansion around the wetting front for power law diffusivities. Essentially the same technique has been applied when a well‐defined wetting front exists at a finite distance. In this paper, the method is extended for an arbitrary diffusivity and to the case when there is no well‐defined wetting front at a finite distance. Two illustrations for exponential and power law diffusivities show the excellent accuracy of the method.

Original languageEnglish
Pages (from-to)2793-2797
Number of pages5
JournalWater Resources Research
Volume28
Issue number10
DOIs
Publication statusPublished - 1992
Externally publishedYes

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