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DOI | 10.1016/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 |
ISSN | 0309-1708 |
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 |
推荐引用方式 GB/T 7714 | 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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