基于单轴剪切破坏的岩石M–C准则参数反演分析

基于岩石单轴压缩试验中出现的不同剪切破坏形式,应用极限分析法推导出岩石单轴抗压强度与黏聚力及内摩擦角的关系式。结合矿区岩石单轴、三轴试验结果,验证以岩石M–C准则参数计算单轴抗压强度关系式的正确性,据此关系式获得的结果与试验结果差值在6%~10%之间。采用实例进行岩石黏聚力和内摩擦角的反演分析,以岩石实际单轴剪切破坏形式和试验结果为依据,两两结合联立计算得到岩石的黏聚力和内摩擦角。实例表明:基于单轴剪切破坏形式和单轴抗压强度值计算岩石黏聚力和内摩擦角的方法准确,具有实用价值,该关系式也揭示了岩石试样破坏类型与岩石力学参数间的内在关系。

Inversion analysis of M-C criterion parameters of rock based on uniaxial shearing failure

Based on different shear failure modes in rock uniaxial compression tests, the relationship among the uniaxial compressive strength, cohesion and internal friction angle is deduced by using the limit analysis method. According to the uniaxial and triaxial test results of rock, the correctness of the formula for calculating the uniaxial compressive strength based on the M-C criterion parameters is verified. The difference between the results obtained from the formula and the experimental ones is between 6% and 10%. The cohesive force and internal friction angle of rock are calculated by combining the actual uniaxial shear failure modes of rock and the test results. The results show that the proposed method for calculating the cohesion and internal friction angle based on the mode of uniaxial shear failure and the value of uniaxial compressive strength is accurate and practical. The formula also reveals the internal relationship between failure modes of rock and parameters of rock mechanics.