Exact solutions of the Richards equation with nonlinear plant-root extraction

Authors

Philip Broadbridge, La Trobe UniversityFollow
Edoardo Daly, Monash University
Joanna M. Goard, University of WollongongFollow

RIS ID

117076

Publication Details

Broadbridge, P., Daly, E. & Goard, J. (2017). Exact solutions of the Richards equation with nonlinear plant-root extraction. Water Resources Research, 53 9679-9691.

Abstract

The Richards equation, commonly used to model water flow in unsaturated soils, is highly nonlinear, thus making it very challenging to solve analytically for situations meaningful in practical applications. The inclusion of realistic forms of root-water uptake rates in this equation adds complications in deriving exact solutions. This study provides for the first time analytical solutions of the Richards equation with a sink term nonlinearly dependent on soil water content. These solutions are applied to irrigation furrows, using Cartesian coordinates, and irrigation from a circular plate, in cylindrical coordinates.