多孔介质
理查兹方程
导水率
磁导率
分形
多孔性
含水量
包气带
机械
水运
材料科学
扩散
趋同(经济学)
岩土工程
数学
数学分析
地质学
物理
土壤科学
热力学
土壤水分
水流
化学
生物化学
膜
经济增长
经济
作者
Yuanyuan Wang,HongGuang Sun,Tao Ni,Mirco Zaccariotto,Ugo Galvanetto
出处
期刊:Fractals
[World Scientific]
日期:2023-01-01
卷期号:31 (07)
被引量:1
标识
DOI:10.1142/s0218348x23500809
摘要
Richards’ equation is a classical differential equation describing water transport in unsaturated porous media, in which the moisture content and the soil matrix depend on the spatial derivative of hydraulic conductivity and hydraulic potential. This paper proposes a nonlocal model and the peridynamic formulation replace the temporal and spatial derivative terms. Peridynamic formulation utilizes a spatial integration to describe the path-dependency, so the fast diffusion process of water transport in unsaturated porous media can be captured, while the Caputo derivative accurately describes the sub-diffusion phenomenon caused by the fractal nature of heterogeneous media. A one-dimensional water transport problem with a constant permeability coefficient is first addressed. Convergence studies on the nonlocal parameters are carried out. The excellent agreement between the numerical and analytical solutions validates the proposed model for its accuracy and parameter stability. Subsequently, the wetting process in two porous building materials is simulated. The comparison of the numerical results with experimental observations further demonstrates the capability of the proposed model in describing water transport phenomena in unsaturated porous media.
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