Technical Notes
Aug 1, 2012

Application of the Kriging-Based Response Surface Method to the System Reliability of Soil Slopes

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 4

Abstract

Response surface methods (RSMs) are attractive approaches for slope reliability analysis because such methods can integrate deterministic numerical slope stability evaluation and reliability analysis. For a slope in layered soils, its performance function is generally nonlinear and the system failure probability could be larger than the failure probability of the most critical slip surface. In this study, the applicability of the kriging-based RSM for system reliability of soil slopes is assessed through its application to two slopes with obvious system effects. It is found that the kriging method combined with Monte Carlo simulation (MCS) can deliver accurate system failure probability estimation. For comparison, the classical RSM based on the iterative local approximation of the performance function may fail to detect the most critical slip surface. The classical RSM can only calculate the failure probability of one slip surface even if the first-order reliability method or MCS is used. Even when the same calibration samples are used, the second-order polynomial-based RSM is not as accurate as the kriging-based RSM. The results in this study show that the kriging-based RSM is an advantageous and promising approach for calculating the system reliability of soil slopes.

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Acknowledgments

This research was substantially supported by the Natural Science Foundation of China (Grant No. 41102174); National 973 Basic Research Program of China (2011CB013800); Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029); Kwang-Hua Fund for College of Civil Engineering, Tongji University; and Program for Young Excellent Talents at Tongji University.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 139Issue 4April 2013
Pages: 651 - 655

History

Received: Aug 25, 2011
Accepted: Jun 25, 2012
Published online: Aug 1, 2012
Published in print: Apr 1, 2013

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Authors

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J. Zhang, A.M.ASCE [email protected]
Lecturer, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]
H. W. Huang [email protected]
Professor, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China (corresponding author). E-mail: [email protected]
K. K. Phoon, F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, National Univ. of Singapore, Singapore 117576. E-mail: [email protected]

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