Probabilistic Analysis of Pressurized Tunnels against Face Stability Using Collocation-Based Stochastic Response Surface Method
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 4
Abstract
A probabilistic analysis of the face stability of a tunnel driven by a compressed-air pressurized shield is presented. The collocation-based stochastic response surface methodology (CSRSM) is used. The deterministic model employed in the probabilistic analysis is analytical. A translational multiblock collapse mechanism in the framework of the kinematic theorem of limit analysis forms the basis of the analysis. The soil friction angle and cohesion are considered as random variables. CSRSM was first validated by the comparison of the results obtained from the original analytical deterministic model. Then, the influence of the probabilistic characteristics of the uncertain variables was studied. Contrary to the correlation between and and the coefficients of variation of these variables, which have a significant effect on the variability of the critical collapse pressure, the nonnormality of the distributions of the random variables was shown not to have a considerable effect on the distribution of the output.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 137 • Issue 4 • April 2011
Pages: 385 - 397
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jan 8, 2010
Accepted: Aug 27, 2010
Published online: Sep 18, 2010
Published in print: Apr 1, 2011
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