A well-posed hysteresis model for flows in porous media and applications to fingering effects
A well-posed hysteresis model for flows in porous media and applications to fingering effects
复制标题
多孔介质中流动的适定滞后模型及其在指拨效应中的应用
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
B. Schweizer
中科院分区：
文献类型：
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作者：
A. Lamacz;A. Rätz;B. Schweizer
本文研究了毛细管压力关系中具有滞后效应的非饱和多孔介质中的渗流问题。该模型是对理查兹方程的扩展，引入了重力场，空间维数是任意的。滞后模型已建议的实验，静态滞后被纳入一个播放型模型和额外的动态效果。我们对这类方程提出了一个Galerkin格式，证明了相应的近似解的收敛性和原问题弱解的存在性。我们包括数值结果表明，重力驱动指进在多孔介质中的效果。
We investigate flow problems in unsaturated porous media with hysteresis effects in the capillary pressure relation. The model expands the Richards equation, gravity is included and the space dimension is arbitrary. The hysteresis model has been suggested by experimentalists, static hysteresis is incorporated with a play-type model and additional dynamic effects are included. We propose a Galerkin scheme for these equations, show the convergence of the corresponding approximate solutions and the existence of weak solutions to the original problem. We include numerical results that show the effect of gravity driven fingering in porous media.