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An extension of the Green - Ampt model to decreasing flooding depth conditions, with efficient dimensionless parametric solution

Por: Barrera, Daniel.
Colaborador(es): Masuelli, Sergio.
ISSN: 0262-6667.Otro título: Extension du modèle de Green - Ampt aux conditions de hauteur de submersion décroissante, avec solution paramétrique adimensionnelle efficace.Tipo de material: Artículos y capítulos. Recurso electrónico.Tema(s): DARCY'S EQUATION | DIMENSIONLESS VARIABLES | GREEN-AMPT MODEL | INFILTRATION | PARAMETRIC SOLUTION | DARCY'S EQUATIONS | DELAY PARAMETERS | DIMENSIONLESS PARAMETERS | GREEN-AMPT | GREEN-AMPT INFILTRATION | INFILTRATION RATE | ISOLATED SYSTEMS | PARAMETRIC EXPRESSIONS | PARAMETRIC FUNCTIONS | PARAMETRIC SOLUTIONS | PHYSICAL MEANINGS | SOIL PARAMETERS | SOIL PROPERTY | THEORETICAL FORMULATION | PLASMA THEORY | DARCY LAW | FLOODING | NUMERICAL MODEL | Recursos en línea: Haga clic para acceso en línea | LINK AL EDITOR En: Hydrological Sciences Journal vol.56, no.5 (2011) p.824-833Resumen: The theoretical formulation of the Green-Ampt infiltration model has been extended to conditions of decreasing flooding depth in an isolated system. By defining dimensionless variables of flooding depth s and time t, an implicit dimensionless equation t[s] was obtained, which contains a single fundamental dimensionless parameter gamma controlling the process, named "infiltration delay parameter". The characteristics and functional behaviour of gamma were analysed, and its physical meaning discussed. A parametric expression s[t] has been obtained, which uses a unique descriptive parameter a, which in turn depends only on gamma and on four generic coefficients valid for a wide range of soil properties and conditions occurring in nature. By means of numerical simulations using different values of soil parameters and initial flooding depths, it was proved that the proposed parametric function generates similar infiltration rates and cumulative storages to those that are obtained starting from Darcy's equation in the extended Green-Ampt scheme.
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The theoretical formulation of the Green-Ampt infiltration model has been extended to conditions of decreasing flooding depth in an isolated system. By defining dimensionless variables of flooding depth s and time t, an implicit dimensionless equation t[s] was obtained, which contains a single fundamental dimensionless parameter gamma controlling the process, named "infiltration delay parameter". The characteristics and functional behaviour of gamma were analysed, and its physical meaning discussed. A parametric expression s[t] has been obtained, which uses a unique descriptive parameter a, which in turn depends only on gamma and on four generic coefficients valid for a wide range of soil properties and conditions occurring in nature. By means of numerical simulations using different values of soil parameters and initial flooding depths, it was proved that the proposed parametric function generates similar infiltration rates and cumulative storages to those that are obtained starting from Darcy's equation in the extended Green-Ampt scheme.

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