Incorporating Global Distribution with Site-Specific Data for Probabilistic Analysis of Soil–Water Characteristic Curve of Bentonite
Publication: Journal of Hazardous, Toxic, and Radioactive Waste
Volume 25, Issue 3
Abstract
Probabilistic analysis of the soil–water characteristic curve (SWCC) is essential for the application of reliability-based design (RBD) in unsaturated geotechnical engineering projects. Conventional frequentist analysis requires a large number of data points to minimize statistical uncertainty. However, obtaining large regional/site-specific datasets of SWCC of bentonite is practically difficult owing to time and cost constraints. A common approach in the literature is to supplement the limited site-specific data with prior knowledge using a Bayesian approach. However, almost all the works are limited to non-clayey soils and utilize non-informative uniform priors for SWCC parameters. Therefore, this technical note proposes the incorporation of global SWCC distribution with site-specific data for probabilistic analysis of SWCC of bentonite. Twelve SWCCs of bentonite are experimentally measured in this study and a copula-based global/generic distribution for SWCC of bentonite from the literature is utilized. It is shown that incorporating global distribution as an informative prior can significantly reduce the uncertainty in the posterior distribution of SWCC parameters as compared with popularly utilized uniform priors. Finally, to demonstrate the practical significance of the proposed approach towards unsaturated RBD, a stochastic seepage analysis is conducted. It is found that the popularly used uniform priors for SWCC parameters might significantly overestimate the failure probability.
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Acknowledgments
The authors thank the anonymous reviewers for providing extensive and critical comments to an earlier version of this manuscript.
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© 2021 American Society of Civil Engineers.
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Received: Jul 30, 2020
Accepted: Mar 29, 2021
Published online: May 12, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 12, 2021
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