Green-ampt equation for water infiltration into soil numerical approximations to the explicit formulation for the accumulated water

Abstract

The Green-Ampt infiltration model (1911), still used in Hydrology nowadays, does not allows to have an exact explicitation of the accumulated infiltration water versus time. The present work tries to solve this problem by presenting two solutions. The first equation is original and the second is the result of some improvements made in one of Li et al equations (1976).The relative errors proceeding from these equation were discussed and one example is presented in order to concretize these numerical applications.