贺子光,赵法锁,陈昊祥,等. 深部圆形隧道围岩分区破裂的简化梯度模型[J]. 煤田地质与勘探,2022,50(5):103−109. DOI: 10.12363/issn.1001-1986.21.09.0481
引用本文: 贺子光,赵法锁,陈昊祥,等. 深部圆形隧道围岩分区破裂的简化梯度模型[J]. 煤田地质与勘探,2022,50(5):103−109. DOI: 10.12363/issn.1001-1986.21.09.0481
HE Ziguang,ZHAO Fasuo,CHEN Haoxiang,et al. Simplified internal variable gradient model for zonal disintegration of rocks in circular underground tunnels[J]. Coal Geology & Exploration,2022,50(5):103−109. DOI: 10.12363/issn.1001-1986.21.09.0481
Citation: HE Ziguang,ZHAO Fasuo,CHEN Haoxiang,et al. Simplified internal variable gradient model for zonal disintegration of rocks in circular underground tunnels[J]. Coal Geology & Exploration,2022,50(5):103−109. DOI: 10.12363/issn.1001-1986.21.09.0481

深部圆形隧道围岩分区破裂的简化梯度模型

Simplified internal variable gradient model for zonal disintegration of rocks in circular underground tunnels

  • 摘要: 分区破裂化作为深部岩体典型的非线性力学现象而备受关注。基于内变量梯度理论,得到圆形隧道围岩应力场、应变场以及位移场的封闭解析解,并与经典弹性理论结果进行比较;分析内檩长度对应力场和变形场的影响规律。由于考虑了微观结构对围岩宏观应力与变形行为的影响,内变量梯度理论得到的应力场和变形场具有显著的波动性与准周期性。结合Mohr-Coulomb破坏准则,估算圆形隧道围岩破裂区的位置及宽度。研究表明,随着初始地应力的增大,圆形隧道围岩破碎区数量增加,且破坏范围向外扩展。最后通过与模型试验结果对比,验证了梯度模型的准确性。提出的梯度模型可以为解释围岩分区破裂化提供一个有效的理论手段。

     

    Abstract: As one of the typical nonlinear phenomena of deep level surrounding rock masses, zonal disintegration has captured many attentions of geotechnical engineers in the past years. On the basis of the internal variable theory, the closed-form analytical solutions to stress, strain and displacement fields near circular tunnels are obtained. The gradient-dependent solutions are compared with the results of the classical elasticity theory, and the effects of microstructures on the stresses and deformation fields are investigated as well. It is noted that the stress and deformation fields derived from the gradient model show remarkable quasi-periodicity and fluctuation, which is consistent with the in-situ observation in the surrounding rock masses, in view of the influences of microstructures on macro behaviors. The influence of microstructures is reflected by the internal length scale. When the length scale of microstructure is comparable to the radius of circular openings, the effect of microstructure is large; when the microstructural length is much smaller than the scale of openings, the effect of microstructure is negligible. Combined with Mohr-Coulomb failure criterion, the location and width of surrounding rock failure zone of circular tunnel are estimated. The results show that surrounding rock fracture zones of circular tunnel increases with the increase of initial in-situ stress, and the failure range expands outwards. At last, the applicability of the proposed model is verified by comparing the predictions of the gradient model with the results of the laboratory test. The proposed gradient model provides an effective theoretical approach to explain zonal disintegration.

     

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