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

Journal Article


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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.

Publication Date


  • 2017

Citation


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

Scopus Eid


  • 2-s2.0-85035014543

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1853&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/851

Number Of Pages


  • 12

Start Page


  • 9679

End Page


  • 9691

Volume


  • 53

Place Of Publication


  • United States

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.

Publication Date


  • 2017

Citation


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

Scopus Eid


  • 2-s2.0-85035014543

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1853&context=eispapers1

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers1/851

Number Of Pages


  • 12

Start Page


  • 9679

End Page


  • 9691

Volume


  • 53

Place Of Publication


  • United States