Novel method of 3D slope stability analysis and its engineering application

Abstract

It is difficult to give a definitive evaluation result when using the fuzzy probability method to evaluate the three-dimension 
(3D) slope and to develop an effective method is necessary to 
evaluate the stability of a large number of 3D slope engineerings. To solve this problem, a novel method of 3D slope stability 
analysis is proposed based on renormalization group and response 
surface function. After determining the critical instability probability of 3D slope based on the theory of renormalization group, 
the response surface method is employed to construct a function 
to solve the fuzzy instability probability of the 3D slope. Then the 
stability of the 3D slope can be determined by comparing the critical and fuzzy instability probability values. When the fuzzy instability probability is less than the critical instability probability, the 
3D slope is in stable state, otherwise it is in unstable state. The 
novel method for 3D slope stability analysis is verified by the mine 
dump slope engineering. Results show that the proposed novel 
method is accurate and reliable. This study solves the problem of 
quantitative evaluation of 3D slope stability and the conclusions 
obtained in the study are of important reference value to direct 
similar engineering practice.