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Exact solutions of the Richards equation with nonlinear plant-root extraction
journal contributionposted on 2021-03-31, 05:34 authored by Philip BroadbridgePhilip Broadbridge, Edoardo Daly, Joanna Goard
© 2017. American Geophysical Union. All Rights Reserved.
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.
JournalWater Resources Research
Pagination13p. (p. 9679-9691)
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Science & TechnologyLife Sciences & BiomedicinePhysical SciencesEnvironmental SciencesLimnologyWater ResourcesEnvironmental Sciences & EcologyMarine & Freshwater BiologyRichards equationplant root extractionnonlinear modelexact solutionsLINEARIZED 2-DIMENSIONAL INFILTRATIONCONSTANT-FLUX INFILTRATIONRATE RAINFALL INFILTRATIONPERIODIC STRIP SOURCESWATER EXTRACTIONSOIL-WATERSTEADY INFILTRATIONSCATTERING ANALOGUNSATURATED SOILFLOW EQUATIONEnvironmental Engineering