On worst-case correlation length in probabilistic 3D bearing capacity assessments
Yajun Li (China University of Geosciences)
Jianguang Li (Aviation Industry Corporation of China, China University of Geosciences)
Nengxiong Xu (China University of Geosciences)
Gordon A. Fenton (Dalhousie University)
Philip Vardon (Geo-engineering)
M.A. Hicks (Geo-engineering)
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Abstract
Correlation length or scale of fluctuation (SOF) is often used as a primary parameter in defining the spatial correlation characteristics of varying soil properties. However, geotechnical site investigations are rather limited so that proper determination of correlation length is not always possible. The concept of a worst-case correlation length thus has important implications in reliability-based designs. In the case of insufficient information, the worst-case correlation length can be used to conservatively estimate the reliability or probability of failure of geotechnical structures. However, the definition of the worst-case correlation length in the literature is not very clear and has been seen in some investigations to not exist. This paper, in the context of bearing capacity of 3D spatially varying soils, investigates the worst-case correlation length based on different definitions to clarify past findings. Further analyses provide insight into practical applications, where the impact of site sampled data and realistic uncertainties are considered. Using realistic values of the coefficient of variation, and taking account of the distance at which site investigation is likely to occur from the loaded area, a worst-case SOF is identified and found to be similar using all definitions.