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Instability analysis of a deep tunnel under triaxial loads using a three-dimensional numerical method with strength reduction method

机译：用强度折减法的三维数值方法分析深孔隧道在三轴载荷下的失稳

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摘要

Influence of triaxial stress states on failure behaviors and safety factor of deep tunnels, involving the intermediate principal stress and the ratio of the vertical stress to the horizontal stress, is investigated using a three-dimensional numerical model and the strength reduction method (SRM). The numerical model is able to consider the heterogeneity of rock masses described by the Weibull distribution based on the statistical damage theory. The strength reduction method is applied to implement the progressive failure modelling of the surrounding rocks, and the tunnel stability under different stress conditions is obtained. The results show that the failure behaviors of the surrounding rocks are complex under the effect of triaxial stress states. Both the lateral pressure coefficient and axial stress have significant influence on the tunnel failure patterns. When the direction of the intermediate principal stress is parallel to the tunnel axis, the safety factor of the tunnels increases with the increasing of the intermediate principal stress. When the direction of the intermediate principal stress is perpendicular to the tunnel axis, the safety factor increases in the beginning and then decreases as the intermediate principal stress increases gradually until reaching the maximal principal stress. When the direction of the maximum principal stress is parallel to the tunnel axis, the zonal disintegration is observed because of the large axial stress. Overall, the numerical model is successfully adopted to model the fracture patterns and evaluate the tunnel stability. The simulated results have contributed to reveal the nonlinear failure behaviors of deep tunnels and understand their safety condition under complex triaxial stress states.
机译：利用三维数值模型和强度折减法（SRM），研究了三轴应力状态对深层隧道破坏行为和安全系数的影响，涉及中间主应力和垂直应力与水平应力之比。该数值模型能够基于统计损伤理论考虑由威布尔分布描述的岩体的非均质性。采用强度折减法对围岩进行渐进破坏建模，获得了不同应力条件下的隧道稳定性。结果表明，在三轴应力状态的作用下，围岩的破坏行为是复杂的。横向压力系数和轴向应力都对隧道破坏模式有重要影响。当中间主应力的方向平行于隧道轴线时，隧道的安全系数会随着中间主应力的增加而增加。当中间主应力的方向垂直于隧道轴线时，安全系数在开始时增加，然后随着中间主应力逐渐增加直到达到最大主应力而减小。当最大主应力方向平行于隧道轴线时，由于轴向应力较大，可观察到地带破裂。总体而言，成功地采用了数值模型来模拟裂缝模式并评估隧道的稳定性。仿真结果有助于揭示深部隧道的非线性破坏行为，并了解其在复杂三轴应力状态下的安全状况。

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