岩土力学 ›› 2026, Vol. 47 ›› Issue (10): 3651-3661.doi: 10.16285/j.rsm.2025.1108CSTR: 32223.14.j.rsm.2025.1108

• 数值分析 • 上一篇    下一篇

不同内摩擦角和Ⅱ型断裂能下巷道围岩临界应力数值解与理论解对比

王芷涵1,李海滨2,王学滨3,潘一山4,刘栋5,郑一方5   

  1. 1.内蒙古工业大学 力学与航空学院,内蒙古 呼和浩特 010051;2.内蒙古工业大学 理学院,内蒙古 呼和浩特 010051; 3.辽宁工程技术大学 计算力学研究所,辽宁 阜新 123000;4.辽宁大学 灾害岩体力学研究所,辽宁 沈阳110036; 5.辽宁工程技术大学 力学与工程学院,辽宁 阜新123000
  • 收稿日期:2025-10-16 接受日期:2026-01-26 出版日期:2026-10-10 发布日期:2026-10-09
  • 通讯作者: 王学滨,男,1975年生,博士,教授,博士生导师,主要从事计算力学、并行计算、岩层运动模拟、微震数据驱动灾害预测等方面的研究。E-mail: wxbbb@263.net
  • 作者简介:王芷涵,女,2002年生,硕士研究生,主要从事计算力学方面的研究。E-mail: 2254646294@qq.com
  • 基金资助:
    国家自然科学基金(No.52474101)

A comparison of numerical and theoretical results for critical stresses of the roadway surrounding rock for different type-Ⅱ fracture energies and internal frictional angles

WANG Zhi-han1, LI Hai-bin2, WANG Xue-bin3, PAN Yi-shan4, LIU Dong5, ZHENG Yi-fang5,   

  1. 1. College of Mechanics and Aeronautics, Inner Mongolia University of Technology, Hohhot, Inner Mongolia 010051, China; 2. College of Science, Inner Mongolia University of Technology, Hohhot, Inner Mongolia 010051, China; 3. Institute of Computational Mechanics, Liaoning Technical University, Fuxin, Liaoning 123000, China; 4. Institute of Disaster Rock Mechanics, Liaoning University, Shenyang, Liaoning 110036, China; 5. College of Mechanics and Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Received:2025-10-16 Accepted:2026-01-26 Online:2026-10-10 Published:2026-10-09
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52474101).

摘要: 冲击地压理论研究已实现从定性分析到定量分析的转变,但假定圆环形软化区内介质均发生破坏,这与局部化破坏的常识不符。岩层运动并行计算系统StrataKing-3D与冲击地压扰动响应失稳理论相结合具有广阔的应用前景,但相关研究仅基于简化临界应力公式开展。以井下较为常见的正方形巷道为对象,探讨了内摩擦角和Ⅱ型断裂能对数值解的影响,并与基于完整临界应力公式的理论解进行对比。将巷道围岩临界应力的数值解与理论解之比定义为修正系数。研究发现,不同Ⅱ型断裂能下,修正系数-单轴抗压强度曲线所围区域呈左窄右宽的喇叭形,这表明单轴抗压强度(或内摩擦角)越小,临界应力的数值解与理论解越接近。临界应力的数值解最大不超过理论解的2.24倍。当Ⅱ型断裂能为200 N/m时,数值解与理论解较接近。若Ⅱ型断裂能较小(100~200 N/m),则冲击能指数为0.381~8.107,基本落入全国131个冲击地压矿井的调研数据中(冲击能指数为0~8的冲击地压矿井最多),说明此时Ⅱ型断裂能取值适当。在此条件下,数值解常大于理论解,可从局部化破坏围岩比均匀破坏围岩的承载力高的角度,对此进行解释。本研究深化了数值解与理论解不同表现的认识,有助于正确评估巷道的安全性。

关键词: 冲击地压, 巷道, 临界应力, 并行计算, 内摩擦角, Ⅱ型断裂能, 单轴抗压强度

Abstract: The transition from qualitative to quantitative analysis of rockbursts has been achieved, but assuming a completely failed medium within the ring-shaped softening zone is inconsistent with typical localized failure. We combined the StrataKing-3D parallel computing system for strata movement with the disturbance response instability theory of rockbursts, demonstrating broad applicability. However, only a simplified formula for the critical stress is adopted. For the common square tunnel in coal mines, effects of the type-Ⅱ fracture energy and internal frictional angle were investigated numerically, and the numerical critical stress was compared with the theoretical critical stress based on the complete formula. The ratio of numerical critical stress to theoretical critical stress was defined as a modification coefficient. For different type-Ⅱ fracture energies, the occupied region by the modification coefficient versus uniaxial compressive strength curves likes a trumpet, narrow on the left and wide on the right, indicating that a lower uniaxial compressive strength (or internal frictional angle) leads to the fact that the numerical result is closer to the theoretical result. The maximum numerical critical stress is less than 2.24 times the theoretical result. When the type-Ⅱ fracture energy is 200 N/m, the numerical result is closer to the theoretical result. For lower type-Ⅱ fracture energies (100–200 N/m), burst energy index ranges from 0.381 to 8.107, which largely falls within the survey data from 131 rockburst coal mines in China. Rockburst mines with burst energy index of 0–8 are the most prevalent. This suggests that the adopted type-Ⅱ fracture energy is appropriate. Under this condition, the numerical result is usually higher than the theoretical result. This can be explained through the viewpoint that the localized surrounding rock can possess a higher load-carrying capacity than the surrounding rock subjected to uniform failure. The difference between numerical and theoretical results is deepened in this study, laying a foundation for more accurate roadway safety assessment.

Key words: rockburst, roadway, critical stress, parallel computing, internal frictional angle, type-Ⅱ fracture energy, uniaxial compressive strength

中图分类号: TD 821
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