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Influence of confining pressure-dependent Young's modulus on the convergence of underground excavation

机译：围压依赖杨氏模量对地下基坑收敛性的影响

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摘要

The actual convergence of an excavation located in fractured rock mass or the soft rock is largely different with the theoretical result in many cases. Experimental results showed that the influence of confining pressure on Young's modulus is very significant. This paper attempted to illustrate the influence of the confining pressure-dependent Young’s modulus in the ground reaction analyses of mountain tunnel. Firstly, the relationship between Young's modulus and confining pressure was described as a non-linear function according to the test results. Based on the plane strain axial symmetry assumption and the incremental theory of plasticity, equilibrium equations and compatibility equations of rock mass around a circular tunnel were deduced theoretically. Based on fourth Runge-Kutta method, a semi-analytical solution was achieved. Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods. The influence of confining pressure-dependent Young’s modulus in surrounding rock was estimated quantitatively. Finally, Tawara saka Tunnel in Japan was taken as an example to explain the influence of confining pressure-dependent Young’s modulus. The results showed that the error with respect to the monitoring data was largely reduced with the confining pressure-dependent Young’s modulus model, which indicated the necessity of considering the non-uniform distribution of Young’s modulus.
机译：在许多情况下，位于裂隙岩体或软岩中的开挖的实际收敛性与理论结果大不相同。实验结果表明，围压对杨氏模量的影响非常显着。本文试图说明与围压有关的杨氏模量对山地隧道地面反应分析的影响。首先，根据试验结果，将杨氏模量与围压之间的关系描述为非线性函数。基于平面应变轴对称假设和可塑性增量理论，从理论上推导了圆形隧道围岩的平衡方程和相容方程。基于第四种Runge-Kutta方法，实现了半解析解。考虑围压对杨氏模量的影响，通过解析和数值两种方法计算了围岩的应力和变形。定量估计了围岩中压力依赖的杨氏模量的影响。最后，以日本的Tawara坂隧道为例，解释了限制压力相关的杨氏模量的影响。结果表明，与监测数据有关的误差在围压依赖性杨氏模量模型的作用下大大降低，这表明必须考虑杨氏模量的不均匀分布。

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