基于与围岩相互作用的冻结壁弹塑性设计理论

冻结壁设计理论是冻结法凿井技术的核心之一。传统的冻结壁厚度弹塑性设计公式在冻结壁与围岩的弹性模量之比小于10时有较大的误差。为了更合理地设计冻结壁，建立了考虑开挖卸载作用的冻结壁与围岩相互作用弹塑性力学模型，推导了应力与位移解析解，建立了新的弹塑性冻结壁厚度计算公式，分析了各因素对冻结壁厚度的影响规律。分析表明，新公式较传统的多姆克公式更合理，并建议选用Coulomb-Mohr屈服准则进行冻结壁厚度计算。

Elastic-plastic design theory of frozen soil wall based on interaction between frozen wall and surrounding rock

The design theory of frozen soil wall is one of the core technologies for mine shaft freezing sinking. The conventional elastic design formula for the thickness of frozen soil wall has large errors when the modulus ratio of the frozen soil wall to the surrounding rock is less than 10. Considering the excavation unloading effect and the interaction between the frozen soil wall and its surrounding rock, an elastic-plastic mechanical model is established for a more rational design of the frozen soil wall. The stress and displacement analytical solutions are deduced. A new elastic-plastic formula for the thickness of the frozen soil wall is developed on the basis of the solutions. The influences of various factors on the thickness of the frozen soil wall are discussed. The analyses show that the proposed formula is more reasonable than the traditional formula of Domke, and the Coulomb-Mohr yield criterion is suggested to calculate the thickness of the frozen soil wall.