Abstract Frost heave in cold-region tunnels is caused by complex water-ice phase changes with coupled heat and moisture transfer, which will lead to frost damage and thus threatens the structural stability and traffic safety. To describe the frost heave force, a new model is established for the coupled heat and moisture transfer in the freezing surrounding rock, which consider the major influence factors of the three primary frozen theories for cold-region tunnels simultaneously. An analytical solution for the coupled multifactor is proposed, in which the calculated parameters could be classified into three categories: 1) the frost heave ratios(αfr,αmr,αi); 2) the geometric parameters(R, Tmr, Ti); and 3) the confinement strength(Kr, Kfr, Kmr, Kl, Ki). All parameters are studied, in which frost depth is deduced by comprehensively considering the ice content, thermal coefficient and freezing index, and a new method based on a difference value method for the equivalent elasticity coefficient of the lining or ice is also proposed. Furthermore, the method is validated in the Daban Mountain tunnel, and the results have indicated that the proposed analytical solution can accurately reflect frost heave force.

中文翻译：

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寒冷地区隧道热湿耦合多因素冻胀力解析解

摘要 寒区隧道冻胀是由复杂的水冰相变和热湿耦合传递引起的，会导致冻害，从而威胁结构稳定性和交通安全。为描述冻胀力，同时考虑了寒区隧道三种主要冻结理论的主要影响因素，建立了冻结围岩热湿耦合传递的新模型。提出了耦合多因素的解析解，其中计算参数可分为三类：1）冻胀比（αfr，αmr，αi）；2) 几何参数(R, Tmr, Ti)；3) 约束强度(Kr, Kfr, Kmr, Kl, Ki)。研究了所有参数，其中综合考虑冰含量、热系数和冻结指数推算霜冻深度，并提出了一种基于差值法的衬砌或冰等效弹性系数的新方法。此外，该方法在大坂山隧道中得到验证，结果表明所提出的解析解能够准确反映冻胀力。