考虑水–汽对流及换热的非饱和硫酸盐渍土多物理场耦合模型：模型建立与验证

doi:10.3724/1000-6915.jrme.2025.0065

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摘要基于非饱和土质量守恒方程、能量守恒方程、溶质迁移方程以及土体应力–应变方程，建立非饱和硫酸盐渍土水–汽–热–盐–力多物理场耦合数学模型。其中，数学模型在已有模型基础上进一步考虑水–汽（包含液态水和水汽）对流、水汽扩散潜热以及对流传热等对盐渍土物理场的影响。然后，通过数值建模分析周期性温度变化对硫酸盐渍土热质迁移及其变形的影响，并利用模型试验对数学模型的有效性进行验证。结果表明：当不考虑外界水盐补给时，浅层盐渍土中能量传递方式主要以热传导和水盐相变潜热为主，其次为水汽对流热通量以及水汽扩散潜热通量，而液态水对流热通量较小可以忽略。浅层盐渍土的水–汽迁移方式主要为水汽通量，且随着深度的逐渐增加液态水通量开始占主导。当外界环境温度升高时，盐渍土中的盐分浓度增加，结晶盐含量降低，此时盐渍土位移减小，说明土体发生沉降变形；反之，当环境温度降低时，盐渍土中的盐分浓度、结晶盐含量与位移的变化趋势相反，说明此时土体发生了膨胀变形。

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	周志雄1
	周凤玺1
	王永泽2
	马强3
	郑延斌1
	张留俊4

关键词 ：土力学, 硫酸盐渍土, 对流换热, 热质迁移, 位移, 多物理场耦合模型

Abstract：Based on the mass conservation equation, energy conservation equation, solute migration equation, and soil stress-strain equation for unsaturated soil, a mathematical model was established to couple multiple physical fields, specifically the interactions of water, vapor, heat, salt, and mechanics in unsaturated sulfate saline soil. This model further incorporates the effects of water and vapor convection, including both liquid water and water vapor, as well as the latent heat of water vapor diffusion and convective heat transfer on the physical properties of saline soil, thereby enhancing existing models. Subsequently, the impact of periodic temperature variations on heat and mass migration, along with the deformation of sulfate saline soil, was analyzed through numerical modeling. Additionally, the validity of the proposed model was confirmed through experimental testing. The results indicate that when external water and salt supplies are disregarded, heat transfer in shallow saline soil primarily occurs through conductive heat flux and the latent heat flux associated with the water-salt phase transition, followed by convective heat flux from water vapor and latent heat flux from water vapor diffusion. The convective heat flux from liquid water is relatively minor and can be considered negligible. In shallow saline soil, the predominant mode of water migration is through water vapor flux; however, as depth increases, liquid water flux begins to dominate. When ambient temperature rises, salt concentration increases while crystalline salt content decreases in the saline soil, leading to a reduction in soil displacement, which indicates settlement deformation. Conversely, when ambient temperature decreases, the trends in salt concentration, crystalline salt content, and soil displacement reverse, suggesting that the soil undergoes expansion deformation during this period.

Key words： soil mechanics sulfate saline soil convective heat transfer heat and mass migration displacement multi-physical fields coupling model

引用本文:

周志雄1，周凤玺1，王永泽2，马强3，郑延斌1，张留俊4 . 考虑水–汽对流及换热的非饱和硫酸盐渍土多物理场耦合模型：模型建立与验证[J]. 岩石力学与工程学报, 2025, 44(8): 2202-2215.
ZHOU Zhixiong1, ZHOU Fengxi1, WANG Yongze2, MA Qiang3, ZHENG Yanbin1, ZHANG Liujun4. Multi-physical fields coupling model of unsaturated sulfate saline soil considering water-vapor convection and heat transfer: model #br# establishment and validation. , 2025, 44(8): 2202-2215.

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https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2025.0065 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I8/2202

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