Analysis of heat–moisture coupling transfer for unsaturated soil under freezing and thawing based on fractal theory

冻胀 水分 霜冻(温度) 饱和度 岩土工程 饱和(图论) 传热 分形 土壤科学 结算(财务) 含水量 数学模型 环境科学 联轴节(管道) 机械 土壤水分 材料科学 地质学 数学 计算机科学 物理 复合材料 数学分析 万维网 付款 组合数学 统计
作者
Peipei Chen,Linghao Qi,Xingbo Zhang,Ling Ma,Guangchang Yang,Jilin Qi
出处
期刊:Cold Regions Science and Technology [Elsevier BV]
卷期号:206: 103744-103744 被引量:10
标识
DOI:10.1016/j.coldregions.2022.103744
摘要

Frost heave- and thaw settlement-induced frost damage in cold regions is related to moisture–heat transfer. Various mathematical models have previously been proposed. Numerical simulation largely depends on the forms of mathematical descriptions and appropriately determined model parameters, which have yet to be further investigated. In this paper, unsaturated soils under closed-form freezing and thawing were adopted as study objects, while frost heave or thaw settlement was ignored, and only heat and moisture transfer was considered. Seepage parameters of partially frozen soil characterized by fractal theory were introduced. The relative saturation concept was constructed, and the solid–liquid ratio was defined. A new heat-moisture coupled model was proposed for soil freezing and thawing through mathematical transformation of a previously proposed well-recognized coupled model. The model, with the relative saturation and temperature as field variables, was integrated into COMSOL software via secondary development. The feasibility and effectiveness of the model were verified by comparing the calculated and measured temperature and moisture results in the freezing and thawing process. Furthermore, the proposed mathematical model was evaluated considering three error indices. The temporal evolution of moisture and influence of the boundary temperature on the coupled process were examined. The findings of this study could provide a reference for practical engineering applications.
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