Math @ Duke
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Publications [#244205] of Thomas P. Witelski
search www.ams.org.Papers Published
- Witelski, TP, Horizontal infiltration into wet soil,
Water Resources Research, vol. 34 no. 7
(January, 1998),
pp. 1859-1863, American Geophysical Union (AGU) [gz], [doi]
(last updated on 2024/03/27)
Abstract: We obtain the long-time asymptotic similarity solution for the wetting front for water absorption from a constant source into a homogenous layer of soil with a preexisting moisture distribution. The presence of the initial water distribution in the soil introduces a time shift that advances the position of the wetting front. The time shift be explicitly calculated for any form of diffusivity. A dynamic time shift is derived to yield a very efficient means for estimating the water content distribution and front position for all times in Brooks-Corey-type soil models.
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