NONLINEAR SORPTION OF WATER IN SOIL

Abstract

We derive analytical solutions, based on integral approximations of the governing equation, for sorption of water in power law soil. The parameters of the solution are functions of the soil-characterizing exponent and are determined by considering the extreme medium behavior of “linear” and “delta” type. A particular parameter choice reproduces an earlier solution due to Brutsaert. We compare several solution configurations, including that of Brutsaert, to other approximate methods and to exact numerical integration.