Method for calculating rock failure probability in rock slope

Abstract

The present invention discloses a method for calculating the rock failure probability in a rock slope. The method comprises: step 1, formulating a calculation parameter of a rock slope; step 2, establishing a limit state function of the rock slope; step 3, discretizing the rock slope by using rigid block elements; step 4, establishing an upper bound linear programming model for solving the rock failure probability; and step 5, solving the upper bound linear programming model by using a Monte Carlo method, and calculating the rock failure probability. According to the method disclosed by the present invention, a two-dimensional rock slope is taken as a research object, the upper bound theorem of plastic limit analysis, and the rigid block element discrete technology, the linear programmingmethod and the Monte Carlo method are combined to establish a mathematical programming model of the upper bound method for calculating the rock failure probability; and the model can be effectively used to calculate the rock failure probability and obtain the failure probability and the corresponding failure mode of all rock blocks in the rock slope.

Description

technical field [0001] The invention relates to a method for calculating failure probability of rock blocks in rock slopes, and belongs to the technical field of rock slope engineering reliability analysis. Background technique [0002] The reliability analysis of rock slopes has been very popular in the field of geotechnical engineering, but there are still some deficiencies in this field, such as: (1) The slope stability calculation method used in the current reliability analysis of rock slopes Rigid body limit equilibrium method and finite element method are mainly used. However, rigid body limit equilibrium method needs to assume the sliding surface of rock slope failure in advance, and finite element method needs to simulate complex joint network and constitutive relationship. (2) In terms of the failure probability of rock slopes, it is mainly based on the safety factor of the overall stability of rock slopes to calculate the failure probability of the entire slope; (3...

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Problems solved by technology

[0002] The reliability analysis of rock slopes has been very popular in the field of geotechnical engineering, but there are still some deficiencies in this field, such as: (1) The slope stability calculation method used in the current reliability analysis of rock slopes Rigid body limit equilibrium method and finite element method are mainly used. However, rigid body limit equilibrium method needs to assume the sliding surface of rock slope failure in advance, and finite element method needs to simulate complex joint network and constitutive relationship. (2) In terms of the failure probability of rock slopes, it is mainly based on the safety factor of the overall stability of rock slopes to calculate the failure probability of the entire slope; (3) due to Due to the variability of parameters, rocky slopes generally have a variety of failure modes, and the current research results are insufficient in the study of multiple failure modes of rocky slopes;

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