New approximate analytical technique to solve Richards equation for arbitrary surface boundary conditions

J-Y Parlange, David Andrew Barry, M. B. Parlange, W. L. Hogarth, R. Haverkamp, P. J. Ross, L. Ling, T S Steenhuis

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36 Citations (Scopus)

Abstract

A general approximation for the solution to the one-dimensional Richards equation is presented. It applies to arbitrary soil properties and boundary conditions but only uniform initial conditions at current stage. The result is very accurate (within 2%) when the diffusivity is constant, suggesting that the present general formulation is reliable, since the approximation becomes increasingly accurate as the soil-water diffusivity approaches a delta function.

Original languageEnglish
Pages (from-to)903-906
Number of pages4
JournalWater Resources Research
Volume33
Issue number4
Publication statusPublished - Apr 1997
Externally publishedYes

Cite this

Parlange, J-Y., Barry, D. A., Parlange, M. B., Hogarth, W. L., Haverkamp, R., Ross, P. J., Ling, L., & Steenhuis, T. S. (1997). New approximate analytical technique to solve Richards equation for arbitrary surface boundary conditions. Water Resources Research, 33(4), 903-906.