Seismic Fragility of Concrete Gravity Dams with Spatial Variation of Angle of Friction: Case Study
Publication: Journal of Structural Engineering
Volume 142, Issue 5
Abstract
Concrete gravity dams are essential infrastructure components and because of earlier design practices, they may be vulnerable to future earthquake events. Therefore, their vulnerability is important to characterize, particularly given the large societal consequences of dam failure. Seismic fragility curves allow a rational safety and vulnerability assessment of existing structures under earthquake hazards offering statements of the conditional probability of reaching a limit state. This paper evaluates the seismic fragility of a case study concrete dam located in northeastern Quebec, improving on existing approaches by including spatial variation of the angle of friction and offering insights regarding the significance of modeling parameters, importance of spatial variation, and overall vulnerability of the dam to two failure modes. Finite-element techniques are used to model the dam system and to fully account for dam-reservoir-foundation interactions. Uncertainties in the ground motions and modeling parameters are included and propagated using a sampling technique. The fragility curves are developed using nonlinear time-history analysis, and the uncertainty related to the spatial variation of the angle of friction is included in the fragility analysis through the incorporation of random fields modeling. The study reveals that this additional source of uncertainty has a slight effect on the fragility of the dam and is mainly critical when severe damage levels are considered.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), the Fonds de recherche du Quebec-Nature et technologies (FRQNT) and Hydro-Quebec. Computational resources were provided by Compute Canada and Calcul Quebec. The authors also thank Douglas Sparks, Martin Roberge, and Benjamin Miquel, all of Hydro-Quebec, for their cooperation during this research project. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the sponsors.
References
Atkinson, G. M. (2009). “Earthquake time histories compatible with the 2005 National Building Code of Canada uniform hazard spectrum.” Can. J. Civ. Eng., 36(6), 991–1000.
Azmi, M., and Paultre, P. (2002). “Three-dimensional analysis of concrete dams including contraction joint non-linearity.” Eng. Struct., 24(6), 757–771.
Champagne, K., Rivard, P., and Quirion, M. (2012). “Shear strength parameters of concrete gravity dams in Quebec.” CDA 2013 Annual Conf., Canadian Dam Association, Toronto.
Chavez, J. W., and Fenves, G. L. (1995). “Earthquake response of concrete gravity dams including base sliding.” J. Struct. Eng., 121(2), 205–214.
Der Kiureghian, A., and Ke, J.-B. (1988). “The stochastic finite element method in structural reliability.” Probab. Eng. Mech., 3(2), 83–91.
Dilip, D. M., and Sivakumar Babu, G. (2014). “Influence of spatial variability on pavement responses using Latin Hypercube Sampling on two-dimensional random fields.” J. Mater. Civ. Eng., 04014083.
Ellingwood, B., and Tekie, P. B. (2001). “Fragility analysis of concrete gravity dams.” J. Infrastruct. Syst., 41–48.
EPRI (Electrical Power Research Institute). (1992). “Uplift pressures, shear strengths, and tensile strengths for stability analysis of concrete gravity dams.”, Palo Alto, CA.
Fenves, G., and Chopra, A. (1984). “EAGD-84, a computer program for earthquake analysis of concrete gravity dams.”, Univ. California, Berkeley, CA.
Fenves, G. L., and Chavez, J. W. (1996). “Evaluation of earthquake induced sliding in gravity dams.” 11th World Conf. on Earthquake Eng., International Association for Earthquake Engineering, Tokyo.
Ghanaat, Y., Hashimoto, P. S., Zuchuat, O., and Kennedy, R. P. (2011). “Seismic fragility of Muhlberg dam using nonlinear analysis with Latin Hypercube Simulation.” 31st Annual USSD Conf., U.S. Society on Dams, Denver, 1197–1212.
Ghanaat, Y., Patev, R. C., and Chudgar, A. K. (2012). “Seismic fragility analysis of concrete gravity dams.” Proc., 15th World Conf. on Earthquake Eng., International Association for Earthquake Engineering, Tokyo.
Ghosh, J., Padgett, J. E., and Duenas-Osorio, L. (2013). “Surrogate modeling and failure surface visualization for efficient seismic vulnerability assessment of highway bridges.” Probab. Eng. Mech., 34, 189–199.
ICOLD (International Commission on Large Dams). (2001). “Design features of dams to resist seismic ground motion: Guidelines and case studies.”, Paris.
Kunnath, S. K., Abrahamson, N., Chai, Y., Erduran, E., and Yilmaz, Z. (2008). “Development of guidelines for incorporation of vertical ground motion effects in seismic design of highway bridges.”, Univ. of California, Davis, CA.
Lilliefors, H. (1967). “On the Kolmogorov-Smirnov test for normality with mean and variance unknown.” J. Am. Stat. Assoc., 62(318), 399–402.
Liu, P.-L., and Der Kiureghian, A. (1986). “Multivariate distribution models with prescribed marginals and covariances.” Probab. Eng. Mech., 1(2), 105–112.
Lo, K. Y., Lukajic, B., Wang, S., Ogawa, T., and Tsui, K. K. (1990). “Evaluation of strength parameters of concrete-rock interface for dam safety assessment.” Canadian Dam Safety Conf., Canadian Dam Association, Toronto, 71–94.
LSTC (Livermore Software Technology Corporation). (2013). LS-Dyna user’s manual, Livermore, CA.
Lupoi, A., and Callari, C. (2011). “A probabilistic method for the seismic assessment of existing concrete gravity dams.” Struct. Infrastruct. Eng., 8(10), 985–998.
Lysmer, J., and Kuhlemeyer, R. (1969). “Finite dynamic model for infinite media.” J. Eng. Mech. Div., 95(4), 859–878.
McKay, M. D., Beckman, R. J., and Conover, W. J. (1979). “Comparison of three methods for selecting values of input variables in the analysis of output from a computer code.” Technometrics, 42(1), 55–61.
Mills-Bria, B., Nuss, L., and Chopra, A. (2008). “Current methodology at the Bureau of Reclamation for the nonlinear analyses of arch dams using explicit finite element techniques.” Proc., 14th World Conf. on Earthquake Eng., Beijing.
Montgomery, D. C. (2012). Design and analysis of experiments, Wiley, Hoboken, NJ.
Nielson, B. G., and DesRoches, R. (2006). “Influence of modeling assumptions on the seismic response of multi-span simply supported steel girder bridges in moderate seismic zones.” Eng. Struct., 28(8), 1083–1092.
Noble, C. R. (2007). “Finite element techniques for realistically simulating the seismic response of concrete dams.” Ph.D. thesis, Univ. of California, Davis, CA.
NRCC (National Research Council of Canada). (2010). “National Building Code of Canada 2010.” Ottawa.
Olsson, A. M. J., and Sandberg, G. E. (2002). “Latin Hypercube Sampling for stochastic finite element analysis.” J. Eng. Mech., 121–125.
Padgett, J. and DesRoches, R. (2007). “Sensitivity of seismic response and fragility to parameter uncertainty.” J. Struct. Eng., 1710–1718.
Popescu, R., Deodatis, G., and Nobahar, A. (2005). “Effects of random heterogeneity of soil properties on bearing capacity.” Probab. Eng. Mech., 20(4), 324–341.
Proulx, J., and Paultre, P. (1997). “Experimental and numerical investigation of dam-reservoir-foundation interaction for a large gravity dam.” Can. J. Civ. Eng., 24(1), 90–105.
Reimer, R. B. (1973). “Deconvolution of seismic response for linear systems.”, Univ. of California at Berkeley, Berkeley, CA.
Stat-Ease. (2014). Design-expert 9.0, Minneapolis.
Sudret, B., and Der Kiureghian, A. (2000). “Stochastic finite element methods and reliability—A state-of-the-art report.”, Univ. of California, Berkeley, CA.
Tekie, P. B., and Ellingwood, B. (2003). “Seismic fragility assessment of concrete gravity dams.” Earthquake Eng. Struct. Dyn., 32(14), 2221–2240.
USACE (U.S. Army Corps of Engineers). (1995). “Gravity dam design.”, Washington, DC.
USBR (United States Bureau of Reclamation). (2013). “State-of-practice for the nonlinear analysis of concrete dams at the Bureau of Reclamation.” Denver (January).
Vamvatsikos, D. and Cornell, A. C. (2002). “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn., 31(3), 491–514.
Information & Authors
Information
Published In
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Sep 25, 2014
Accepted: Sep 18, 2015
Published online: Dec 16, 2015
Published in print: May 1, 2016
Discussion open until: May 16, 2016
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.