Journal
GEOSCIENCE FRONTIERS
Volume 9, Issue 6, Pages 1631-1638Publisher
CHINA UNIV GEOSCIENCES, BEIJING
DOI: 10.1016/j.gsf.2017.08.004
Keywords
Slope stability; Spatial variability; Random field model; Probability of failure; HLRF algorithm; First-order reliability method (FORM)
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Funding
- National Science Foundation of China [51609072, 51879091, 51479050, 41630638]
- National Key Basic Research Program of China (973 Program) [2015CB057901]
- Public Service Sector R&D Project of Ministry of Water Resource of China [201501035-03]
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To meet the high demand for reliability based design of slopes, we present in this paper a simplified HLRF (Hasofer-Lind-Rackwitz-Fiessler) iterative algorithm for first-order reliability method (FORM). It is simply formulated in x-space and requires neither transformation of correlated random variables nor optimization tools. The solution can be easily improved by iteratively adjusting the step length. The algorithm is particularly useful to practicing engineers for geotechnical reliability analysis where standalone (deterministic) numerical packages are used. Based on the proposed algorithm and through direct perturbation analysis of random variables, we conducted a case study of earth slope reliability with complete consideration of soil uncertainty and spatial variability. (C) 2017, China University of Geosciences (Beijing) and Peking University.
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