孔洞围岩塑性区边界计算的理论研究现状与分析评价  

Research status and evaluation of theoretical calculation of plastic zone boundary for hole surrounding rock

作　　者：李永恩 郭晓菲[2,3] 马念杰 李臣[2,3] 霍天宏 LI Yongen;GUO Xiaofei;MA Nianjie;LI Chen;HUO Tianhong(China Energy Guoyuan Electric Power Group,Beijing 100033,China;School of Energy and Mining Engineering,China University of Mining and Technology-Beijing,Beijing 100083,China;Research Center of Roadway Support and Disaster Prevention Engineering in Coal Industry,Beijing 100083,China)

机构地区：[1]国家能源集团国源电力有限公司,北京100033 [2]中国矿业大学(北京)能源与矿业学院,北京100083 [3]煤炭行业巷道支护与灾害防治工程研究中心,北京100083

出　　处：《煤炭科学技术》2021年第5期141-150,共10页Coal Science and Technology

基　　金：国家自然科学基金资助项目(52004289)。

摘　　要：地下采矿工程中的巷道、开切眼、各种开采硐室空间、人工钻孔及天然洞穴等,在地下无限大的空间范围内,其围岩破坏及稳定性问题均可统一到孔洞周围岩体力学的研究中。结合煤矿井下的工程条件,采用理论计算与数值模拟对比分析的方法,研究了静水压力下的理论公式与非均匀应力场中的塑性区边界方程,详细分析了理论计算的力学模型、推导原理、推导过程、计算精度,进而对其适用性进行评价分析。研究结果表明:静水压力下的理论公式推导过程严密,精度较高,适用于静水压力及偏应力不高条件下围岩塑性区范围的计算,偏应力较高环境下不再适用;非均匀应力场中圆孔围岩塑性区边界方程推导过程做了简化,其结果为近似解,与数值模拟计算结果相比在精度上有一定误差,但是可以很好地反映非均匀应力场中孔洞围岩塑性区形态演化规律,对于研究地下高偏应力场中巷道围岩的破坏规律及致灾机理有重要的指导意义。通过对已有孔洞围岩塑性区边界计算理论的分析评价,明确了不同理论方法的优劣势以及适用条件,对于合理应用理论指导工程实践有重要的实用意义。In underground mining engineering,there are roadways,openings,various mining chamber spaces,artificial boreholes and nat⁃ural caves,etc.The failure and stability of their surrounding rock can be unified into the study of rock mass mechanics around the hole in the infinite underground space.Combined with the engineering conditions of underground coal mines,the theoretical formula under hydro⁃static pressure condition and the boundary equation of plastic zone under non-uniform stress field were studied by using the method of comparative analysis between theoretical calculation and numerical simulation.The mechanical model,the derivation principle,the deriva⁃tion process and the calculation accuracy of the theoretical calculation were analyzed in detail,and its applicability was evaluated and ana⁃lyzed.The results show that the derivation process of theoretical formula under hydrostatic pressure is rigorous and the calculation accuracy is high.It is suitable for the calculation of plastic zone range of surrounding rock under hydrostatic pressure,approximate hydrostatic pres⁃sure and low deviator stress conditions,but not under high deviator stress conditions.The derivation process of the plastic zone boundary equation in non-uniform stress field was simplified,and it was an approximate solution.The approximate solution has some errors in accu⁃racy compared with the numerical simulation results,but it can well reflect the plastic zone evolution law of the surrounding rock in the non-uniform stress field.It has important guiding significance for studying the failure law and disaster-causing mechanism of the surround⁃ing rock in the underground high deviating stress field.Based on the analysis and evaluation of the existing theory for calculating the plastic zone boundary of surrounding rock,the advantages and disadvantages of different theoretical methods and applicable conditions are clari⁃fied,which is of great practical significance for the rational application of theory to guide engineering practic

关 键 词：塑性区边界 蝶形塑性区 孔洞围岩 岩体力学 

分 类 号：TD322[矿业工程—矿井建设]