Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.compgeo.2012.12.002
Title: Impact of copula selection on geotechnical reliability under incomplete probability information
Authors: Tang, X.-S.
Li, D.-Q.
Rong, G.
Phoon, K.-K. 
Zhou, C.-B.
Keywords: Copula
Correlation coefficient
Geotechnical structures
Probability of failure
Reliability
Retaining wall
Slope
Issue Date: Apr-2013
Source: Tang, X.-S., Li, D.-Q., Rong, G., Phoon, K.-K., Zhou, C.-B. (2013-04). Impact of copula selection on geotechnical reliability under incomplete probability information. Computers and Geotechnics 49 : 264-278. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compgeo.2012.12.002
Abstract: This paper aims to investigate the impact of copula selection on geotechnical reliability under incomplete probability information. The copula theory is introduced briefly. Thereafter, four copulas, namely Gaussian, Plackett, Frank, and No. 16 copulas, are selected to model the dependence structure between cohesion and friction angle. A copula-based approach is used to construct the joint probability density function of cohesion and friction angle with given marginal distributions and correlation coefficient. The reliability of an infinite slope and a retaining wall is presented to demonstrate the impact of copula selection on reliability. The results indicate that the probabilities of failure of geotechnical structures with given marginal distributions and correlation coefficient of shear strength parameters cannot be determined uniquely. The resulting probabilities of failure associated with different copulas can differ considerably. Such a difference increases with decreasing probability of failure. Significant difference in probabilities of failure could be observed for relatively small coefficients of variation of the shear strength parameters or a strong negative correlation between cohesion and friction angle. The Gaussian copula, often adopted out of expedience without proper validation, may not capture the dependence structure between cohesion and friction angle properly. Furthermore, the Gaussian copula may greatly underestimate the probability of failure for geotechnical structures. © 2012 Elsevier Ltd.
Source Title: Computers and Geotechnics
URI: http://scholarbank.nus.edu.sg/handle/10635/59080
ISSN: 0266352X
DOI: 10.1016/j.compgeo.2012.12.002
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