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Superposition principle in soil physics
Conference paper

Superposition principle in soil physics

J.Y. Parlange, W.L. Hogarth, P.J. Ross, R. Haverkamp and K.R.J. Smettem
Institution of Engineers, Australia
Proceedings of the Water Down Under 1994 Conference. Part 3 (Adelaide, Australia, 21/11/1994–25/11/1994)
1994

Abstract

Analytical solutions are usually easy to apply and useful to understand processes. Unfortunately the non-linearity of Richard's equation restricts exact solutions to a few soil-water diffusivities. A general superposition principle is presented here which can be applied for any appropriate soil-water diffusivity. The resulting solutions are, however, approximate and are applicable in general to describe processes lasting a short time only. For this reason the method seems ideally suited to describe the interaction of abrupt fronts with surfaces. Two examples are considered; one involving a plane front, the other a curved front, to illustrate the simplicity and accuracy of the method.

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