Abstract: Open-pit mining may result in many excavating slopes. In this paper, to evaluate the safety of excavating slope, based on the stochastic medium theory, we deduced the formulae for calculating movement and deformation of rock and soil mass induced by slope excavation, proposed the deformation failure criterion of stochastic medium and the criterion for estimating the safety of surroundings. Meanwhile, in view of the non-integrability of the formulae, the computing method for the formulae is further studied, that is, the slice method is used to get the semi-analytical solution to predict the deformation of rock and soil mass. Through an engineering example, the criterion can be well used to predict movement and deformation of the rock and soil mass induced by open-pit mining, and to evaluate the slope safety easily, which can provide reference for the treatment measure design of slope.

Key words: slope excavation, deformation failure criterion, stochastic medium, movement of rock and soil mass