Horizontal infiltration into wet soil

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.