Fuzzy mathematics model and its numerical method of stability analysis on rock slope of opencast metal mine

Because of the complex nature of rock mass in open-pit mines, it is difficult to accurately measure various factors which have great effect on the slope stability. Based on results of the statistical analysis of a large amount of measured data in geotechnical engineering and civil engineering, the fundamental fuzzy models of rock slope stability are established by using the theory of fuzzy measures. In view of the marked “fuzziness” in the factors that have effect on the problems of slope stability, the deformation failure of rock slope in open-pit mine is studied by using the fuzzy mathematical theory in the paper. In accordance with the deformation failure of rock mass in open-pit mines, by applying the theory of fuzzy probability measures, the fuzzy probability formula is derived for the deformation failure of rock masses, and the numerical method is given to calculate the fuzzy probability. Finally, an engineering example of the rock slope in open-pit mine is calculated and analyzed by using the three-points Gauss-Legendre quadrature formula. The practical calculation shows that the method can be used for analyzing and studying the problems of the slope stability in opencast metal mine.