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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。
Frozen wall design theory is one of the core of freezing method. The traditional design formula of elastic-plastic thickness of frozen wall has larger error when the ratio of elastic modulus between frozen wall and surrounding rock is less than 10. In order to design the frozen wall more reasonably, an elasto-plastic mechanical model of the interaction between frozen wall and surrounding rock considering the effect of excavation and unloading is established, and the analytical solutions of stress and displacement are deduced. A new elastic-plastic freezing wall thickness calculation formula is established. The influence of various factors on the frozen wall thickness. The analysis shows that the new formula is more reasonable than the traditional Domok formula and recommends the use of Coulomb-Mohr yield criterion to calculate the frozen wall thickness.