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DOI10.1016/j.advwatres.2020.103684
A continuum model of unstable infiltration in porous media endowed with an entropy function
Beljadid A.; Cueto-Felgueroso L.; Juanes R.
发表日期2020
ISSN0309-1708
卷号144
英文摘要We propose a thermodynamic approach to modeling unsaturated flow in porous media, where the liquid saturation is understood as the state variable. The free energy functional is designed as a symmetric expansion of the traditional capillary energy density in Richards equation, therefore removing ambiguities on the interpretation of the higher-order term in the model equation. The proposed definition renders a formulation that leads naturally to an entropy function of the system, and we show that the model describes an entropy-increasing process for an isolated system. The new formulation reproduces gravity fingering during infiltration in soil. We show that the nonlinear and singular structure of the capillary pinning function in the fourth-order term plays a fundamental role in the behavior and stability of infiltration fronts, promoting front pinning and the persistence of fingered infiltration at relatively large flux ratios. © 2020
关键词Continuum mechanicsEntropyFree energyPorous materialsContinuum ModelingEnergy functionalsHigher order termsInfiltration frontsLiquid saturationSingular structureThermodynamic approachesUnsaturated flowsInfiltration
语种英语
来源机构Advances in Water Resources
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/131726
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Beljadid A.,Cueto-Felgueroso L.,Juanes R.. A continuum model of unstable infiltration in porous media endowed with an entropy function[J]. Advances in Water Resources,2020,144.
APA Beljadid A.,Cueto-Felgueroso L.,&Juanes R..(2020).A continuum model of unstable infiltration in porous media endowed with an entropy function.,144.
MLA Beljadid A.,et al."A continuum model of unstable infiltration in porous media endowed with an entropy function".144(2020).
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