Abstract

The purpose of this study is to deduce a formula for the relationship between the unfrozen water content and temperature (RUWCT) of frozen soils. This deduction is based on analyzing the free energy in the frozen soil. The deduced formula, with three experimentally determined parameters, is similar to the widely-used formula, which only has two parameters. To verify the practicality of the deduced formula, this study uses documented experimental data to regressively calculate the parameters of the deduced and widely-used formulas, and to evaluate the freezing points of frozen soils. The results show that, the deduced formula can predict the RUWCT of frozen soil very well, while the widely-used formula could only predict the RUWCT of the frozen soil with lower water content. The results also indicate that the freezing point calculated from the deduced formula is closer to the experimental data. Based on the results, it is recommended that when the temperature range is not greater than 20°C and the water content of frozen soil is less than 40%, the widely-used formula should be used to predict the RUWCT of this frozen soil. Otherwise, the deduced formula is recommended to predict the unfrozen water content of frozen soil.

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