Probabilistic Characterization of Site-Specific Inherent Variability of Undrained Shear Strength Using Both Indirect and Direct Measurements
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 4, Issue 1
Abstract
Determining geotechnical design parameters (e.g., undrained shear strength ) is an essential step in the analysis and design of geotechnical structures at a particular site. The estimated design parameters are affected by the actual variability (i.e., inherent variability) of design parameters concerned, measurement errors due to imperfections in the measuring process, and transformation uncertainty associated with the transformation model linking measured parameters [e.g., standard penetration test (SPT) data] to design parameters (e.g., ). These uncertainties are lumped together as the total variability of design parameters. It is the actual variability resulting from natural geological factors, not the total variability, that directly affects the underlying mechanism and actual response of geotechnical structures. Proper characterization of site-specific geotechnical inherent variability is, hence, pivotal to accurately estimating the actual responses of geotechnical structures at a site. This paper develops a Bayesian sequential updating (BSU) approach for probabilistic characterization of site-specific inherent variability of of clay. The proposed BSU approach systematically combines prior knowledge (e.g., engineering judgment and experience) and site-specific information from both indirect (e.g., SPT data) and direct (e.g., values from triaxial tests) measurements to inversely infer the inherent variability of at a particular site. It accounts, explicitly and quantitatively, for effects of measurement errors and transformation uncertainty on the probabilistic characterization of site-specific inherent variability of . The proposed approach is illustrated and validated using real-life and simulated data. It is shown that the proposed approach provides proper probabilistic characterization of site-specific inherent variability of based on available information from multiple sources. Sensitivity studies are also performed to explore effects of measurement errors on the performance of the proposed approach.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The work described in this paper was supported by grants from National Key Research and Development Program of China (Project No. 2016YFC0800208), and the National Natural Science Foundation of China (Project Nos. 51409196, 51579190, 51528901, and 51679174). The financial support is gratefully acknowledged.
References
Baecher, G. B. (1982). “Simplified geotechnical data analysis.” Reliability theory and its application in structural and soil mechanics, Springer, Netherlands, 257–277.
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, Wiley, Hoboken, NJ, 605.
Beck, J. L., and Au, S. K. (2002). “Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation.” J. Eng. Mech., 380–391.
Cao, Z., and Wang, Y. (2013). “Bayesian approach for probabilistic site characterization using cone penetration tests.” J. Geotech. Geoenviron. Eng., 267–276.
Cao, Z., and Wang, Y. (2014). “Bayesian model comparison and characterization of undrained shear strength.” J. Geotech. Geoenviron. Eng., 04014018.
Cao, Z., Wang, Y., and Li, D. Q. (2016a). “Site-specific characterization of soil properties using multiple measurements from different test procedures at different locations—A Bayesian sequential updating approach.” Eng. Geol., 211, 150–161.
Cao, Z., Wang, Y., and Li, D. Q. (2016b). “Quantification of prior knowledge in geotechnical site characterization.” Eng. Geol., 203, 107–116.
Chen, J., and Gilbert, R. B. (2017). “Offshore pile system model biases and reliability.” Georisk Assess. Manage. Risk Eng. Syst. Geohazards, 11(1), 55–69.
Ching, J., Chen, J. R., Yeh, J. Y., and Phoon, K. K. (2012). “Updating uncertainties in friction angles of clean sands.” J. Geotech. Geoenviron. Eng., 217–229.
Ching, J., and Phoon, K. K. (2013). “Multivariate distribution for undrained shear strengths under various test procedures.” Can. Geotech. J., 50(9), 907–923.
Ching, J., Phoon, K. K., and Chen, Y. C. (2010). “Reducing shear strength uncertainties in clays by multivariate correlations.” Can. Geotech. J., 47(1), 16–33.
Christian, J. T. (2004). “Geotechnical engineering reliability: How well do we know what we are doing?” J. Geotech. Geoenviron. Eng., 985–1003.
Christian, J. T., and Baecher, G. B. (2011). “Unresolved problems in geotechnical risk and reliability.” Proc., Georisk 2011: Risk Assessment and Management, Geo-Institute of ASCE, Atlanta, 50–63.
Christian, J. T., Ladd, C. C., and Baecher, G. B. (1994). “Reliability applied to slope stability analysis.” J. Geotech. Eng., 2180–2207.
El-Ramly, H., Morgenstern, N. R., and Cruden, D. M. (2002). “Probabilistic slope stability analysis for practice.” Can. Geotech. J., 39(3), 665–683.
Jaksa, M. B. (1995). “The influence of spatial variability on the geotechnical design properties of a stiff, overconsolidated clay.” Ph.D. thesis, Univ. of Adelaide, Adelaide, SA, Australia.
Jaksa, M. B., Brooker, P. I., and Kaggwa, W. S. (1997). “Inaccuracies associated with estimating random measurement errors.” J. Geotech. Geoenviron. Eng., 393–401.
Juang, C. H., Luo, Z., Atamturktur, S., and Huang, H. W. (2013). “Bayesian updating of soil parameters for braced excavations using field observations.” J. Geotech. Geoenviron. Eng., 395–406.
Lacasse, S., and Nadim, F. (1996). “Uncertainties in characterizing soil properties.” Uncertainty in the Geologic Environment: From Theory to Practice, Vol. I, ASCE, Madison, WI, 49–75.
Lumb, P. (1966). “The variability of natural soils.” Can. Geotech. J., 3(2), 74–97.
Mašín, D. (2015). “The influence of experimental and sampling uncertainties on the probability of unsatisfactory performance in geotechnical applications.” Géotechnique, 65(11), 897–910.
Mayne, P. W., Christopher, B. R., and DeJong, J. (2002). “Subsurface investigations—Geotechnical site characterization.”, Federal Highway Administration, U.S. Dept. of Transportation, Washington, DC.
Müller, R., Larsson, S., and Spross, J. (2014). “Extended multivariate approach for uncertainty reduction in the assessment of undrained shear strength in clays.” Can. Geotech. J., 51(3), 231–245.
Ng, I. T., Yuen, K. V., and Dong, L. (2015). “Probabilistic real-time updating for geotechnical properties evaluation.” Struct. Eng. Mech., 54(2), 363–378.
Ng, I. T., Yuen, K. V., and Dong, L. (2016). “Nonparametric estimation of undrained shear strength for normally consolidated clays.” Mar. Georesour. Geotechnol., 34(2), 127–137.
Ng, I. T., Yuen, K. V., and Dong, L. (2017). “Estimation of undrained shear strength in moderately OC clays based on field vane test data.” Acta Geotech., 12(1), 145–156.
Peng, M., Li, X. Y., Li, D. Q., Jiang, S. H., and Zhang, L. M. (2014). “Slope safety evaluation by integrating multi-source monitoring information.” Struct. Saf., 49, 65–74.
Phoon, K. K., and Kulhawy, F. H. (1999a). “Characterization of geotechnical variability.” Can. Geotech. J., 36(4), 612–624.
Phoon, K. K., and Kulhawy, F. H. (1999b). “Evaluation of geotechnical property variability.” Can. Geotech. J., 36(4), 625–639.
Wang, Y., and Aladejare, E. A. (2015). “Selection of site-specific regression model for characterization of uniaxial compressive strength of rock.” Int. J. Rock Mech. Min. Sci., 75, 73–81.
Wang, Y., Au, S. K., and Cao, Z. (2010). “Bayesian approach for probabilistic characterization of sand friction angles.” Eng. Geol., 114(3–4), 354–363.
Wang, Y., and Cao, Z. (2013). “Probabilistic characterization of Young’s modulus of soil using equivalent samples.” Eng. Geol., 159, 106–118.
Wang, Y., Cao, Z., and Li, D. Q. (2016). “Bayesian perspective on geotechnical variability and site characterization.” Eng. Geol., 203, 117–125.
Wang, Y., Zhao, T., and Cao, Z. (2015). “Site-specific probability distribution of geotechnical properties.” Comput. Geotech., 70, 159–168.
Zhang, J., Tang, W. H., Zhang, L. M., and Huang, H. W. (2012). “Characterising geotechnical model uncertainty by hybrid Markov chain Monte Carlo simulation.” Comput. Geotech., 43, 26–36.
Zhang, L. L., Zhang, J., Zhang, L. M., and Tang, W. H. (2010). “Back analysis of slope failure with Markov chain Monte Carlo simulation.” Comput. Geotech., 37(7–8), 905–912.
Information & Authors
Information
Published In
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jan 26, 2017
Accepted: Jul 11, 2017
Published online: Dec 8, 2017
Published in print: Mar 1, 2018
Discussion open until: May 8, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.