基于Copula理论岩体质量Q值及波速与变形模量多变量相关性研究

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Abstract There are strong correlations between deformation modulus of rock mass and physico-mechanical parameters or rock mass quality indices. These correlations were usually used for the estimation of deformation modulus. However，most of these correlations are established between a single parameter and deformation modulus；the other related parameters obtained from the in-situ tests or engineering geology survey are underused. Based on the correlation investigation between deformation modulus and wave velocity( )，deformation modulus and Q system，wave velocity and Q system of marble rock mass in Jinping I hydropower station，taking the advantage of Copula functions that can describe the correlations of multivariate，the optimal fitting Copula function of - -Q is selected. Then it has been applied to the estimation of deformation modulus. The result shows that Clayton Copula is the optimal fitting Copula function of Em- -Q. The guaranteed rates of estimated by other methods can be obtained；and the estimation of can be calculated with a certain guaranteed rates；the optimal fitting estimation of can be obtained with known and Q system by solving the conditional probability of the optimal fitting Copula functions. The multivariable correlation of rock mass quality，wave velocity and deformation modulus is established by this paper?s method. It takes full use of the information from the in-situ tests or engineering geology survey. It provides a new approach for establishing the correlations between deformation modulus and parameters of rock masses and estimation for deformation modulus.

Key words： rock mechanics deformation modulus rock mass parameters Copula theory correlation

Received: 25 April 2013

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https://rockmech.whrsm.ac.cn/EN/Y2014/V33/I3/507

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