Department of Civil Engineering, IIT Kanpur, India
2022, 14(3): 714-730. doi:10.1016/j.jrmge.2021.11.003
Received: 2021-04-07 / Revised: 2021-11-12 / Accepted: 2021-11-21 / Available online: 2021-12-10
2022, 14(3): 714-730.
doi:10.1016/j.jrmge.2021.11.003
Received: 2021-04-07
Revised: 2021-11-12
Accepted: 2021-11-21
Available online: 2021-12-10
An efficient resampling reliability approach was developed to consider the effect of statistical uncertainties in input properties arising due to insufficient data when estimating the reliability of rock slopes and tunnels. This approach considers the effect of uncertainties in both distribution parameters (mean and standard deviation) and types of input properties. Further, the approach was generalized to make it capable of analyzing complex problems with explicit/implicit performance functions (PFs), single/multiple PFs, and correlated/non-correlated input properties. It couples resampling statistical tool, i.e. jackknife, with advanced reliability tools like Latin hypercube sampling (LHS), Sobol's global sensitivity, moving least square-response surface method (MLS-RSM), and Nataf's transformation. The developed approach was demonstrated for four cases encompassing different types. Results were compared with a recently developed bootstrap-based resampling reliability approach. The results show that the approach is accurate and significantly efficient compared with the bootstrap-based approach. The proposed approach reflects the effect of statistical uncertainties of input properties by estimating distributions/confidence intervals of reliability index/probability of failure(s) instead of their fixed-point estimates. Further, sufficiently accurate results were obtained by considering uncertainties in distribution parameters only and ignoring those in distribution types.
Keywords: Statistical uncertainty, Resampling reliability, Moving least square response surface (MLS-RSM), Sobol's global sensitivity, Correlation coefficient
Akshay Kumar, Gaurav Tiwari, 2022. Jackknife based generalized resampling reliability approach for rock slopes and tunnels stability analyses with limited data: Theory and applications. J. Rock Mech. Geotech. Eng. 14 (3), 714-730.
Gaurav Tiwari
Dr. Gaurav Tiwari is an Assistant Professor in Department of Civil Engineering at Indian Institute of Technology Kanpur. He received his PhD degree in Geotechnical Engineering from Indian Institute of Science in 2017 and MTech in Geotechnical Engineering from Indian Institute of Technology Roorkee in 2013. His research mainly focuses on experimental rock mechanics and probabilistic rock engineering. He is the recipient of several awards, including the best paper award in the area of rock mechanics and rock engineering in the years 2017 and 2021 from the Indian Geotechnical Society. He has published more than ten peer-reviewed papers in the most renowned journals.