Duke Applied Mathematics

Publications [#244205] of Thomas P. Witelski

Papers Published

1. 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 2026/01/19)

   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.