A Calculation Method of Failure Probability of Rock Blocks in Rock Slopes

Abstract

The invention discloses a method for calculating the failure probability of a rock block in a rock slope. The method of the invention is as follows: step 1, drawing up calculation parameters of the rock slope; step 2, establishing a limit state function of the rock slope; step 3. Discrete rock slopes using rigid block units; Step 4. Establish an upper-limit method linear programming model for solving the failure probability of rock blocks; Step 5. Use the Monte Carlo method to solve the upper-limit method linear programming model and calculate the failure of rock blocks probability. The present invention takes the two-dimensional rock slope as the research object, and combines the plastic limit analysis upper limit theorem, rigid block unit discrete technology, linear programming method and Monte Carlo method to establish the upper limit method mathematical programming model for rock block failure probability calculation; The model can be effectively used to count the failure probability of rock blocks, and obtain the failure probabilities and corresponding failure modes 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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