Scaling to generalize a single solution of Richards' equation for soil water redistribution
نویسندگان
چکیده
منابع مشابه
A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated media.
The traditional Richards' equation implies that the wetting front in unsaturated soil follows Boltzmann scaling, with travel distance growing as the square root of time. This study proposes a fractal Richards' equation (FRE), replacing the integer-order time derivative of water content by a fractal derivative, using a power law ruler in time. FRE solutions exhibit anomalous non-Boltzmann scalin...
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We consider the Richards equation on a domain that is decomposed into nonoverlapping layers, i.e., the decomposition has no cross points. We assume that the saturation and permeability functions are space-independent on each subdomain. Kirchhoff transformation of each subdomain problem separately then leads to a set of semi-linear equations, which can each be solved efficiently using monotone m...
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Capillary pressure-saturation-relative permeability relations described using the van Genuchten and Mualem models for non-uniform porous media lead to numerical convergence diiculties when used with Richards' equation for certain auxiliary conditions. These diiculties arise because of discontinuities in the derivative of speciic moisture capacity and relative permeability as a function of capil...
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We derive and analyse a solver-friendly finite element discretization of a time discrete Richards equation based on Kirchhoff transformation. It can be interpreted as a classical finite element discretization in physical variables with non-standard quadrature points. Our approach allows for nonlinear outflow or seepage boundary conditions of Signorini type. We show convergence of the saturation...
متن کاملAn approximate analytical solution of Richards equation with finite boundary
*Correspondence: [email protected] 2School of Aerospace Engineering and Applied Mechanicas, Tongji University, Shanghai, China Full list of author information is available at the end of the article Abstract We apply a series expansion technique to estimate the water content distribution and front position in finite boundary conditions. We derive an approximate analytical solution of the Richard...
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ژورنال
عنوان ژورنال: Scientia Agricola
سال: 2011
ISSN: 0103-9016
DOI: 10.1590/s0103-90162011000500011