Probabilistic Analysis of Step-Shaped Slopes Using Random Field Models
Publication: International Journal of Geomechanics
Volume 20, Issue 1
Abstract
Step-shaped slopes are often found in mines. The reliability of step-shaped slopes was investigated based on random field models. The factor of safety of slopes was derived by the horizontal and vertical integration methods. Meanwhile, the cohesion and friction angle along the discontinuity failure surface were treated as random variables that were assumed to follow Gaussian random distribution. The effects of spatial correlation and cross-correlation between parameters on the stability of step-shaped slopes were taken into consideration. A closed-form solution for the probability of failure () of step-shaped slopes was finally derived. It was found that the derived was greatly affected by the input spatial correlation length of geomechanical parameters. The effectiveness of the proposed method was validated using Monte Carlo simulations.
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Acknowledgments
The work is supported by the National Natural Science Foundation of China (Grant Nos. 51909087 and 51878270), Research Fund of Hunan University of Science and Technology (Grant No. E51975), and Scientific Research Projects of the Hunan Education Department (Grant No. 18K064).
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Published In
International Journal of Geomechanics
Volume 20 • Issue 1 • January 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Aug 24, 2018
Accepted: May 16, 2019
Published online: Nov 5, 2019
Published in print: Jan 1, 2020
Discussion open until: Apr 5, 2020
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