Cumulative storage of water under constant flux infiltration: analytical solution

Recently, two exact analytical solutions of Richards' flow equation in Fokker-Planck form using empirical nonlinear diffusivity and hydraulic conductivity functions were published. A direct application of the solutions is the modeling of cumulative water storage in a fixed depth under constant...

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Bibliographic Details
Published in:Water resources research 1992-10, Vol.28 (10), p.2811-2818
Main Authors: Parkin, G.W. (University of Guelph, Guelph, Ontario, Canada), Elrick, D.E, Kachanoski, R.G
Format: Article
Language:English
Subjects:
AGUA DEL SUELO
ALMACENAMIENTO
CARACT MORFOLOGICAS DEL SUELO
EAU DU SOL
INFILTRACION
INFILTRATION
MODELE MATHEMATIQUE
MODELOS MATEMATICOS
MOUVEMENT DE L'EAU DANS LE SOL
MOVIMIENTO DEL AGUA EN EL SUELO
PROFONDEUR
PROFUNDIDAD
STOCKAGE
TIPOS DE SUELO
TRAIT MORPHOLOGIQUE DU SOL
TYPE DE SOL
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Summary:Recently, two exact analytical solutions of Richards' flow equation in Fokker-Planck form using empirical nonlinear diffusivity and hydraulic conductivity functions were published. A direct application of the solutions is the modeling of cumulative water storage in a fixed depth under constant rainfall infiltration. Analytical solutions for storage require a change of variable of integration and a numerical inversion technique. The solutions contain three independent parameters including saturated hydraulic conductivity, the alpha parameter, and a parameter which defines the shape of the wetting front. Sensitivity analyses indicate that changes in parameter values give significant changes in cumulative storage curves. Cumulative storage can be measured by vertical parallel time domain reflectometry probes which are capable of measuring an evolving volumetric moisture content within a fixed depth. A nonlinear least squares fitting procedure may be used to evaluate the three parameters
ISSN:0043-1397
1944-7973
DOI:10.1029/92WR01271