依据精度相近亦即试块数相近原则对现场抗剪试验数据适当分段,基于数理统计理论,首先推导并提出了由现场抗剪试块正应力和剪应力直接计算岩基摩擦系数与凝聚力统计参数的新公式;然后根据岩基抗剪试验特点,结合概率论随机模拟方法与线性代数正交变换理论,提出了一种验证试块法的计算机随机模拟测评方法。该方法也可应用于其他考虑了试块抗剪强度离散性的摩擦系数与凝聚力概率统计方法的验证。通过应用该计算机随机模拟测评方法,对有关试块法进行了验证分析,论证了提出的新公式的正确性,探讨了本文试块法所需的最少试块数量。最后还进行了一系列具体工程抗剪强度参数的统计计算分析,给出了摩擦系数与凝聚力的若干统计特点。

According to experimental data fragments by the principle of close precision, namely, close number of test blocks, and based on mathematical statistics theory, we derived formulas for calculating the statistical parameters of the frictional coefficient and cohesion of rock foundations directly from the normal stress and shear stress on the shear plane of each block in the in-situ shear test. The method takes into consideration the correlation between frictional coefficient and cohesion. In subsequence, in line with the random simulation method of probability theory and the orthogonal transformation theory of linear algebra, we proposed a computational random simulation evaluation method for verifying test block methods according to the characteristics of shear test. The method can also be applied to the verification of other probability statistical methods of frictional coefficient and cohesion considering the discretization of shear strength of test blocks. By applying the computational random simulation method, we evaluated some test block methods and verified the validity of the proposed formulas. We also discussed the total number of minimum test blocks for the test block method. Finally, shear strength parameters of some engineering examples are analyzed statistically, and some statistical characteristics of friction coefficient and cohesion are given.