Stress gradient analytic solution and reasonable support prestress of roadway surrounding rock based on unified strength criterion:A case study  

基于统一强度准则的巷道围岩应力梯度解析解及合理支护预应力:案例研究

作　　者：JING Suo-lin WEN Zhi-jie ZUO Yu-jun LI Qiu-ju HAO Peng 景所林;文志杰;左宇军;李秋菊;郝鹏

机构地区：[1]College of Mining,Guizhou University,Guiyang 550025,China [2]College of Energy and Mining Engineering,Shandong University of Science and Technology,Qingdao 266590,China

出　　处：《Journal of Central South University》2025年第2期449-468,共20页中南大学学报(英文版)

基　　金：Project(52274130)supported by the National Natural Science Foundation of China;Project(ZR2024ZD22)supported by the Major Basic Research Project of the Shandong Provincial Natural Science Foundation,China;Project(2023375)supported by the Guizhou University Research and Innovation Team,China;Project(Leading Fund(2023)09)supported by the Natural Science Research Fund of Guizhou University,China;Project(JYBSYS2021101)supported by the Open Fund of Key Laboratory of Safe and Effective Coal Mining,Ministry of Education,China。

摘　　要：The stress gradient of surrounding rock and reasonable prestress of support are the keys to ensuring the stability of roadways.The elastic-plastic analytical solution for surrounding rock was derived based on unified strength theory.A model for solving the stress gradient of the surrounding rock with the intermediate principal stress parameter b was established.The correctness and applicability of the solution for the stress gradient in the roadway surrounding rock was verified via multiple methods.Furthermore,the laws of stress,displacement,and the plastic zone of the surrounding rock with different b values and prestresses were revealed.As b increases,the stress gradient in the plastic zone increases,and the displacement and plastic zone radius decrease.As the prestress increases,the peak stress shifts toward the sidewalls,and the stress and stress gradient increments decrease.In addition,the displacement increment and plastic zone increment were proposed to characterize the support effect.The balance point of the plastic zone area appears before that of the displacement zone.The relationship between the stress gradient compensation coefficient and the prestress is obtained.This study provides a research method and idea for determining the reasonable prestress of support in roadways.地下空间安全与长期稳定支护是深地资源安全开发利用的基础,围岩应力梯度和合理预应力支护设计是保证地下巷道稳定的关键因素之一。基于统一强度理论,推导出了围岩弹塑性解析解,建立了以中间主应力系数为参量的巷道围岩应力梯度求解模型,验证了所得基于统一强度理论的巷道围岩应力梯度解的正确性和适用性。与已有算例b值下平均相对误差最大为2.73%;对比ABAQUS模拟结果与理论计算值平均相对误差为2.38%,拟合度与数值模型尺寸呈正相关关联;理论计算结果与现场实测结果基本一致。理论分析得出不同b值和预应力下巷道围岩应力、位移和塑性区变化规律。随b值增大,塑性区应力梯度增大,位移和塑性区半径减小;随着预应力的增加,应力峰值向巷帮转移,应力和应力梯度增量减小。提出了位移增量和塑性区增量表征支护效果,巷道围岩稳定性与应力梯度和预应力呈正相关趋势,支护效果由显著到细微。塑性区面积平衡点先于位移量出现,预应力的作用顺序是先控制塑性区后控制位移;平衡时巷道变形补偿比为40.5%,塑性区面积缩减46.4%;得出了围岩应力梯度补偿系数与预应力的关系,为巷道支护合理预应力的确定提供了一种研究方法和思路。

关 键 词：PRESTRESS support compensation surrounding rock damage stress gradient analytic solution unified strength theory 

分 类 号：TD353[矿业工程—矿井建设]