Homogenization of Richards' equation of van Genuchten-Mualem model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Cao, Haitao^1,2  Yue, Xingye¹ 

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

[2] Hohai Univ, Dept Math & Phys, Changzhou 213022, Peoples R China

关键词: Nonlinear degenerate parabolic equation;    Richards' equation;    Van Genuchten Mualem model;    Homogenization;    Two-scale convergence;   

DOI  :  10.1016/j.jmaa.2013.10.063

来源: Elsevier

【 摘 要 】

This paper is devoted to the homogenization of Richards' equation of van Genuchten-Mualem model, which is a nonlinear degenerate parabolic differential equation. It is usually used to model the motion of saturated-unsaturated water flow in porous media. We firstly apply the Kirchhoff transformation to the equation and obtain a simpler equivalent equation with a linear oscillated diffusion term. Then under the real assumption for van Genuchten-Mualem model, we obtain the homogenized equation based on the two-scale convergence theory. Some results on the first order corrector are also presented. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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