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推导了考虑剪应力作用时横观各向同性岩体中圆形巷道的位移解析解,利用参数可辨识条件对考虑剪应力作用时横观各向同性岩体中圆形巷道位移反分析的惟一性进行了探讨。结果表明,无论布置多少个测点也不能惟一地反分析出所有7个参数,必须至少已知3个参数,才有可能惟一地反分析出其他参数;水平与竖直地应力分量是否为0对反分析惟一性有一定影响;3个地应力分量的可辨识性最好,各向同性面上的弹性模量和泊松比次之,垂直于各向同性面方向的弹性模量和泊松比最差。与不考虑剪应力时位移反分析惟一性结果相比,考虑剪应力时参数的可辨识性顺序不变,但是条件惟一的比例降低,不惟一和绝对惟一的比例增加,说明考虑剪应力能够提高位移反分析的惟一性。工程实例计算表明,推导的位移解析解和反分析惟一性探讨结果能够很好地指导岩体参数反演计算。
The analytical solution to the displacement of a round roadway in a transversely isotropic rock mass considering the effect of shear stress is deduced. Using the identifiable conditions of the parameters, the unique inverse analysis of the circular roadway displacement in a transversely isotropic rock mass Sexuality is discussed. The results show that no matter how many measuring points are arranged, all seven parameters can not be back-analyzed uniquely, at least three parameters must be known before the other parameters can be back-analyzed. Whether the horizontal and vertical stress components are zero Which has a certain influence on the uniqueness of inverse analysis. The three components of earth stress have the best identifiability, the elastic modulus and Poisson’s ratio on the isotropic surface, the elastic modulus perpendicular to the isotropic direction and the Poisson’s ratio Worst. Compared with the results of the uniqueness of displacement back analysis when the shear stress is not considered, the order of identifiability of the parameters is not changed when the shear stress is considered, but the only proportion of the condition decreases, the proportion of the unique and the absolute one increases, which shows that considering the shear stress can improve Displacement inverse analysis of the uniqueness. The engineering example shows that the deduced displacement analysis and the uniqueness of inverse analysis can guide the calculation of rock mass parameter inversion well.