Analytical Probabilistic Methods to Analyze the Stability of the Rock Wedge with Multiple Failure Modes
INDIAN GEOTECHNICAL JOURNAL(2023)
Abstract
Wedge failures are frequently observed in rock slopes. However, these conventional probability analysis methods for rock wedge stability analysis suffer from a known critic of poor efficiency and accuracy. This paper proposes two analytical probabilistic methods (JDRV method and SAPM) to address these issues. The proposed methods are illustrated through a practical rock wedge example. By the comparison with the Monte Carlo simulation (MCs), it can be concluded that the JDRV method is reliable and accurate for the random variables with normal and lognormal distribution, but SAPM is only reliable and accurate for those with normal distribution. The results of the JDRV method and SAPM also indicate that the failure probability of rock wedge will decrease for the random variables with normal distribution with the reduction of correlation coefficient, while the failure probability will increase for the random variables with lognormal distribution. Moreover, the failure probability of rock wedge with biplane sliding mode can greatly be reduced by improving the strength of the discontinuity plane whose effective normal load or area is larger in the two discontinuity planes.
MoreTranslated text
Key words
Rock wedge,Failure probability,Joint distributed random variable method,Hoek–Bray method
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined