Superposition principle for short-term solutions of Richards' equation: Application to the interaction of wetting fronts with an impervious surface
Author(s)
PARLANGE, JY
HOGARTH, WL
FUENTES, C
SPRINTALL, J
HAVERKAMP, R
ELRICK, D
PARLANGE, MB
BRADDOCK, RD
LOCKINGTON, DA
Year published
1994
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The interaction of a wetting front with an impervious layer is described by adding a reflected solution to the incoming solution for a semi-infinite medium. It is shown and checked by comparison with a numerical solution that the result is accurate during the early times of the interaction between the front and the impervious surface. This superposition principle is quite general and should prove especially useful to initiate numerical schemes by this analytical approximation as in the early times singularities are difficult to describe numerically.The interaction of a wetting front with an impervious layer is described by adding a reflected solution to the incoming solution for a semi-infinite medium. It is shown and checked by comparison with a numerical solution that the result is accurate during the early times of the interaction between the front and the impervious surface. This superposition principle is quite general and should prove especially useful to initiate numerical schemes by this analytical approximation as in the early times singularities are difficult to describe numerically.
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Journal Title
Transport in Porous Media
Volume
17
Issue
3
Publisher URI
Subject
Applied mathematics
Earth sciences
Chemical engineering
Civil engineering