A New Analytical Solution on the Frost Heaving Force of Circular Tunnel in Cold Regions

期刊论文
发表日期：

2024年1月30日

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Zedong Yang,
Xiaodong Ma,
Longwei Xu,
Shaojie Hou,
Dezheng Ren,
Qiang Feng

摘要

The phenomena of freezing damage in the cold regional tunnels have happened frequently. Therefore, in order to precisely calculate frost heaving force ( $\sigma_1$ $σ_{1}$ ), based on the displacement method, a new analytical solution was proposed. The analytical solution presented in this paper was verified by the results of the model test and field measurement of $\sigma_1$ $σ_{1}$ , the imperfect contact effect between frozen and unfrozen zones of surrounding rock was considered and the influence of the interaction between any two factors on frost heaving force was studied by means of orthogonal experiment and analysis of variance. The results show that: (1) the inner radius of lining ( $r_a$ $r_{a}$ ), excavation radius ( $r_1$ $r_{1}$ ) and freezing radius ( $r_f$ $r_{f}$ ) are highly significant for $\sigma_1$ $σ_{1}$ and the interaction between the inner and outer radiuses of lining (i.e., changes of the size in inner and outer radius of lining) is also highly significant for frost heaving force ( $\sigma_1$ $σ_{1}$ ); (2) the analytical solution presented in this paper can avoid the frost heaving force ( $\sigma_1$ $σ_{1}$ ) with tensional property under the condition of the circular tunnel under hydrostatic pressure; and (3) sensitivity function shows that the larger Young’s modulus of lining ( $E_{\text{I}}$ $E_{I}$ ), inner radius of lining ( $r_a$ $r_{a}$ ), freezing radius ( $r_f$ $r_{f}$ ), linear frost heaving rate ( $\beta_0$ $β_{0}$ ) and Young’s modulus of frozen surrounding rock ( $E_{{\text{II}}}$ $E_{II}$ ) are, the more sensitive the factors $E_{\text{I}}$ $E_{I}$ , $r_a$ $r_{a}$ , $r_f$ $r_{f}$ , $\beta_0$ $β_{0}$ and $E_{{\text{II}}}$ $E_{II}$ are to $\sigma_1$ $σ_{1}$ . It is expected that the results of this paper can give some novel insights for the anti-freezing design of tunnels.