Adopting Reliability-Based Design Acceptance Criteria in Probabilistic Open Pit Slope Analysis: A Parametric Study

• Published in: Geotechnical and geological engineering Vol. 42; no. 5; pp. 3635 - 3669
• Main Authors: Velarde, Gustavo, Macciotta, Renato
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01-07-2024; Springer Nature B.V
• Subjects: Acceptance criteria; Civil Engineering; Coefficient of variation; Correlation coefficient; Correlation coefficients; Decision making; Design; Earth and Environmental Science; Earth Sciences; Equilibrium; Equilibrium methods; Failure; Geological structures; Geology; Geotechnical Engineering & Applied Earth Sciences; Hydrogeology; Kinematics; Monte Carlo simulation; Original Paper; Probabilistic analysis; Probability density functions; Reliability; Reliability analysis; Rock; Rock masses; Rocks; Safety factors; Slope; Slopes; Statistical analysis; Terrestrial Pollution; Two dimensional analysis; Uncertainty; Waste Management/Waste Technology; Reliability-based Design Acceptance Criteria; Probabilistic analysis; Coefficient of variation
• ISSN: 0960-3182; 1573-1529
• DOI: 10.1007/s10706-024-02749-w

Design of open pit slopes is a decision-making process which aims to maximize ore recovery while minimizing the stripping ratio. Slope design will typically meet a Design Acceptance Criteria (DAC), and the current practice of designing open pit slopes adopts the industry-wide accepted Guidelines of Open Pit Slope Design published in 2009. However, designing open pit slopes is a complex process that involves inherent risks and geotechnical uncertainties. Consequently, reliability analyses have become a valuable tool in managing uncertainties. This paper presents a parametric study that considers uncertainties related to the rock mass strength properties and the slope geometric configurations, evaluated at three different design reliability levels. This parametric study adopts a reliability-based DAC (RBDAC) approach presented in 2020. The reliability assessment is carried out using probabilistic analyses adopting the 2D limit equilibrium method along with Monte Carlo simulations. The input variables for the rock mass strength are defined through Probability Density Functions (PDFs) that capture the natural variability while the input variables of geological structures are defined through kinematic assessments. The PDFs of the rock mass strength properties were modelled based on the generalized Hoek-Brown criterion using the mean, coefficient of variation (COV), and correlation coefficient. Probabilistic analysis results show that most of the resultant pairs of Factor of Safety (FoS) and Probability of Failure, and associated COV of the resulting FoS (COV
FoS
) are consistent with the RBDAC approach. This approach has significant implications for slope optimization for planned pit pushbacks.