Abstract
For one-dimensional soil freezing process, a separate-ice frost heave model is established, and the coupled process of heat transfer, fluid flow and stress development is considered in the model. First, a coupled heat–fluid–stress model describing the growth of a single ice lens is developed by extending the coupled heat–fluid model presented by Zhou and Zhou (Can Geotech J 49(6):686–693, 2012). Second, the mechanism for the formation of a new ice lens in the frozen fringe is studied, and we indicate that if the total vertical disjoining pressure at certain place exceeds the sum of the external pressure and the critical pressure, a new ice lens will emerge. By combining the growth model of a single ice lens and the criterion for the formation of a new ice lens, the separate-ice frost heave model is then established. The difference between the separate-ice model and the rigid-ice model is explained, and the relations for different mathematical models which describe the soil freezing process are also discussed. Numerical analysis of the separate-ice model is conducted using the finite volume method. The freezing tests for Devon silt under no external pressure and Xuzhou silty clay under a constant external pressure are applied to verify the computational results. The consistence between the calculation and the observation validates the separate-ice frost heave model.
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Acknowledgements
This research was supported by National Key Basic Research Program of China (Grant No. 2012CB026103), National Natural Science Foundation of China (Grant Nos. 41271096, 51204164), 111 Project (B14021) and Jiangsu Overseas Research & Training Program for University Prominent Young & Middle-aged Teachers and Presidents of China. Special thanks to the anonymous reviewers for their comments which have helped to improve this paper greatly.
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Zhou, Gq., Zhou, Y., Hu, K. et al. Separate-ice frost heave model for one-dimensional soil freezing process. Acta Geotech. 13, 207–217 (2018). https://doi.org/10.1007/s11440-017-0579-4
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DOI: https://doi.org/10.1007/s11440-017-0579-4