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以锦屏I级水电站坝址大理岩岩体原位变形试验和勘察结果为例,在分析岩体变形模量mE、纵波波速PV以及岩体质量指标Q值间的两两相关关系的基础上,利用Copula函数能够描述多变量相关性的优点,构造了拟合mE,PV和Q值间关系的最优Copula函数,并在岩体变形模量估值中进行运用。研究结果表明,三维Clayton Copula函数是拟合岩体波速PV,Q值和变形模量mE间相关关系最优Copula函数。利用构造的mE-PV-Q间关系的最优Copula函数求条件概率,可在已知岩体PV和Q值条件下计算其他方法对变形模量估值的保证率,或者计算具有一定保证率的岩体变形模量估值,得到具有最优拟合的变形模量估值。该方法建立多因素间的相关关系,使现场试验和勘察的数据得到充分利用,为建立岩体变形模量与岩体参数间相关关系及估值提供一种新的途径。
Based on the in-situ deformation tests and investigation results of the marble rock mass at the Jinping I hydropower station dam site, based on the analysis of any two-to-one correlation between the deformation modulus mE of the rock mass, the PV velocity of the P wave and the Q value of the rock quality index , Copula function can be used to describe the merits of multivariate correlation. The optimal Copula function to fit the relationship between mE, PV and Q is constructed and applied to the deformation modulus of rock mass. The results show that the three-dimensional Clayton Copula function is the best copula function for fitting the correlation between the wave velocity PV, Q and the deformation modulus mE. Using the optimal Copula function of the constructed mE-PV-Q relationship to find the conditional probability, we can calculate the guaranteed rate of deformation modulus estimation of other methods under the known PV and Q values of rock masses or calculate the guaranteed rate Of the rock mass deformation modulus estimation, obtained with the best fitting deformation modulus estimation. The method establishes the correlation between multiple factors and makes full use of the field test and survey data, providing a new way for establishing the correlation between the deformation modulus of rock mass and the rock mass parameters.