On the construction of a functional solution method for the infiltration in porous media problems

被引：2
|
作者：
Furtado, I. C. [1 ]
Bodmann, B. E. J. [1 ]
de Vilhena, M. T. [1 ]
机构：
[1] Univ Fed Rio Grande do Sul, PROMEC, Rua Sarmento Leite 425, BR-90050170 Porto Alegre, RS, Brazil
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 450卷
关键词：
Unsaturated porous media; Pade approximants; Adomian decomposition; Parametrised functional solution; RICHARDS EQUATION; DECOMPOSITION;
D O I：
10.1016/j.physa.2015.12.099
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a transient vertical one-dimensional flow problem of water in unsaturated porous media, modelled by the non-linear Richards equation. Constitutive relations of Van Genuchten will be employed and Fade approximants are used to represent the hydraulic capacity and conduction in a simplified fashion. From the proposed methodology a construction of a functional solution is presented with the objective to define an initialisation of a recursive scheme in the spirit of Adomian decomposition. This solution is optimised and evaluated using the governing equation for a self-consistency test. The results are presented for some soil types and its related soil parameters, that are reported in the literature. (C) 2016 Elsevier B.V. All rights reserved.
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页码：18 / 29
页数：12
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