This paper presents a computational model of the freezing point of soil and the nucleation rate of ice based on the soil volume for saline soils. Physicochemical methods and crystallization theory are used to explore the macroscopic mechanism of water freezing induced by ice crystallization, and the influence of water undercooling is discussed with regard to different soil volumes and salt contents. Growth sites, shapes, and sizes of ice crystals are determined by an assumption of heterogeneous nucleation, and the contact angle is introduced to represent a wide range of soils. The relationship between the initial contact angle and the salt content is analyzed quantitatively through an indoor cooling test and thermal difference analysis. Moreover, the van Genuchten model is applied to provide an equation for the unfrozen water content in salty soils, and the probability of ice formation is introduced to investigate the variation of contact angle during the soil freezing process. This study shows that the initial radius of an ice crystal decreases as the salt concentration decreases. The temperature of ice nucleation is determined mainly by the contact angle of ice crystals, which decreases as the soil volume increases and results in decreased supercooling.

中文翻译：

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盐渍土中冰成核温度和水冻结的研究

本文提出了一种基于盐土的土壤体积的土壤冰点和冰成核率的计算模型。运用理化方法和结晶理论探讨了冰结晶引起水冻结的宏观机理，并探讨了水过冷对土壤体积和盐分含量的影响。冰晶的生长部位，形状和大小是通过异质成核的假设来确定的，并且引入了接触角以代表各种土壤。通过室内冷却试验和热差分析定量分析了初始接触角和含盐量之间的关系。此外，运用van Genuchten模型为含盐土壤中未冻结的水分提供方程，并引入结冰的可能性来研究土壤冻结过程中接触角的变化。这项研究表明，随着盐浓度的降低，冰晶的初始半径会减小。冰核的温度主要由冰晶的接触角决定，随着土壤体积的增加，冰晶的接触角减小，导致过冷度降低。