Reliability analysis of circular tunnel under hydrostatic stress field

The first-order reliability method (FORM) is used to calculate the reliability index of a circular tunnel subjected to a hydrostatic stress field. The random variables are first assumed to follow the normal distribution. Comparison between analysis using negatively correlated and uncorrelated fricti...

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Bibliographic Details
Published in:Computers and geotechnics 2010, Vol.37 (1), p.50-58
Main Authors: Li, Hang-Zhou, Low, Bak Kong
Format: Article
Language:English
Subjects:
Correlation
Probability
Reliability
Reliability-based design
Tunnel
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Summary:The first-order reliability method (FORM) is used to calculate the reliability index of a circular tunnel subjected to a hydrostatic stress field. The random variables are first assumed to follow the normal distribution. Comparison between analysis using negatively correlated and uncorrelated friction angle and cohesion indicates that the results of reliability analysis are conservative if negative correlation among strength parameters is not modeled. The reliability analysis involving correlated non-normal distributions is also investigated. The probability density functions are obtained from reliability indices and compared to those generated from Monte Carlo simulations. Reliability-based design of tunnel support pressure is also illustrated.
ISSN:0266-352X
1873-7633
DOI:10.1016/j.compgeo.2009.07.005