Probabilistic Models for Uncertainty Quantification of Soil Properties on Site Response Analysis
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 6, Issue 3
Abstract
The geotechnical properties of soil deposit and the variability associated with their probable distributions have a profound impact on the seismic response of a site. In the present work, the influences of soil profile characterizations corresponding to the shear wave velocity (), density, and material degradation using various probabilistic distributions are investigated. A stochastic process is introduced for solving the spatial variability in soil deposit via Monte Carlo simulations. The results are validated with those obtained from the reference solution using the Strata program version 0.5.5. Additionally, sensitivity analysis is conducted to investigate the effect of the random input variables in the soil profile. The analysis concludes that the consideration of probabilistic distributions of the geotechnical parameters plays a significant role in evaluating the reliability of a site. The variability in material degradation has a greater impact than the unit weight on site response. Furthermore, comparatively the variability in for both the Toro model and log-normal distribution is identical for periods greater than 1.0 s, while in the range of lower periods, the former is lower than the latter with maximum reductions of 11.14% and 20.86% in surface response spectra and amplification factor, respectively.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions.
Acknowledgments
A National Research Foundation of Korea grant funded by the Korean government (NRF-2018R1A2B2005519) supported this work.
References
Aki, K. 1993. “Local site effects on weak and strong ground motion.” Tectonophysics 218 (1–3): 93–111. https://doi.org/10.1016/0040-1951(93)90262-I.
Aki, K., and P. G. Richards. 2002. Quantitative seismology. Mill Valley, CA: Univ. Science Books.
Aladejare, A. E., and Y. Wang. 2017. “Sources of uncertainty in site characterization and their impact on geotechnical reliability-based design.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 3 (4): 04017024. https://doi.org/10.1061/AJRUA6.0000922.
Ancheta, T. D., et al. 2012. “PEER NGA-West2 database: A database of ground motions recorded in shallow crustal earthquakes in active tectonic.” In Proc., 15th World Conf. on Earthquake Engineering. Lisbon, Portugal.
Baecher, G., and J. Christian. 2005. Reliability and statistics in geotechnical engineering. New York: Wiley.
Barani, S., R. De Ferrari, and G. Ferretti. 2013. “Influence of soil modeling uncertainties on site response.” Earthquake Spectra 29 (3): 705–732. https://doi.org/10.1193/1.4000159.
Bazzurro, P., and C. A. Cornell. 2004. “Ground-motion amplification in nonlinear soil sites with uncertain properties.” Bull. Seismol. Soc. Am. 94 (6): 2090–2109. https://doi.org/10.1785/0120030215.
Benjamin, J., and C. Cornell. 2014. Probability, statistics, and decision for civil engineers. Chelmsford, MA: Courier Corporation.
Cao, A. T., T. T. Tran, T. H. X. Nguyen, and D. Kim. 2019. “Simplified approach for seismic risk assessment of cabinet facility in nuclear power plants based on cumulative absolute velocity.” Nucl. Technol. 206 (5): 743–757. https://doi.org/10.1080/00295450.2019.1696643.
Darendeli, M. B. 2001. Development of a new family of normalized modulus reduction and material damping curves. Austin, TX: Univ. of Texas at Austin.
Du, W., D. Huang, and G. Wang. 2018. “Quantification of model uncertainty and variability in Newmark displacement analysis.” Soil Dyn. Earthquake Eng. 109 (Jun): 286–298. https://doi.org/10.1016/j.soildyn.2018.02.037.
Du, W., and T. C. Pan. 2016. “Site response analyses using downhole arrays at various seismic hazard levels of Singapore.” Soil Dyn. Earthquake Eng. 90 (Nov): 169–182. https://doi.org/10.1016/j.soildyn.2016.08.033.
EPRI (Electric Power Research Institute). 1993. Guidelines for determining design basis ground motions. Palo Alto, CA: EPRI.
Gibbs, J., J. Tinsley, and W. Joyner. 1996. Seismic velocities and geological conditions at twelve sites subjected to strong ground motion in the 1994 Northridge, California, earthquake. Washington, DC: USGS.
Hashash, Y. 2012. DEEPSOIL version 5.1 user manual and tutorial. Champaign, IL: Univ. of Illinois at Urbana-Champaign.
Hudson, M., I. M. Idriss, and M. Beikae. 1994. Q UAD4M: A computer program to evaluate the seismic response of soil structures using finite element procedures and incorporating a compliant base. Davis, CA: Center for Geotechnical Modeling, Dept. of Civil and Environmental Engineering, Univ. of California, Davis.
Hussan, M., M. S. Rahman, F. Sharmin, D. Kim, and J. Do. 2018. “Multiple tuned mass damper for multi-mode vibration reduction of offshore wind turbine under seismic excitation.” Ocean Eng. 160 (Jul): 449–460. https://doi.org/10.1016/j.oceaneng.2018.04.041.
Idriss, I., and H. Seed. 1968. “An analysis of ground motions during the 1957 San Francisco earthquake.” Bull. Seismol. Soc. Am. 58 (6): 2013–2032.
Idriss, I., and J. Sun. 1993. User’s manual for SHAKE91: A computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits. Davis, CA: Center for Geotechnical Modeling, Dept. of Civil and Environmental Engineering, Univ. of California, Davis.
Kaklamanos, J., B. A. Bradley, E. M. Thompson, and L. G. Baise. 2013. “Critical parameters affecting bias and variability in site-response analyses using KiK-net downhole array data.” Bull. Seismol. Soc. Am. 103 (3): 1733–1749. https://doi.org/10.1785/0120120166.
Kim, B., Y. M. A. Hashash, J. P. Stewart, E. M. Rathje, J. A. Harmon, M. I. Musgrove, K. W. Campbell, and W. J. Silva. 2016. “Relative differences between nonlinear and equivalent-linear 1-D site response analyses.” Earthquake Spectra 32 (3): 1845–1865. https://doi.org/10.1193/051215EQS068M.
Kim, D. 2017. Structural earthquake engineering: Ground motion and earthquake analysis. Seoul: Super Docu.
Kottke, A. R., and E. Rathje. 2008. Technical manual for Strata. Berkeley, CA: Univ. of California, Berkeley.
Kramer, S. 1996. “Geotechnical earthquake engineering.” In Prentice–Hall international series in civil engineering and engineering mechanics. Upper Saddle River, NJ: Prentice-Hall.
McKenna, F. 2011. “OpenSees: A framework for earthquake engineering simulation.” Comput. Sci. Eng. 13 (4): 58–66. https://doi.org/10.1109/MCSE.2011.66.
Nguyen, P. C., N. T. N. Doan, C. Ngo-Huu, and S. E. Kim. 2014. “Nonlinear inelastic response history analysis of steel frame structures using plastic-zone method.” Thin Walled Struct. 85 (Dec): 220–233. https://doi.org/10.1016/j.tws.2014.09.002.
Nguyen, P. C., and S. E. Kim. 2017. “Investigating effects of various base restraints on the nonlinear inelastic static and seismic responses of steel frames.” Int. J. Non Linear Mech. 89 (Mar): 151–167. https://doi.org/10.1016/j.ijnonlinmec.2016.12.011.
Nguyen, T. T., R. Cajka, P. C. Nguyen, and T. T. Tran. 2020. “Nonlinear behavior analysis of SFRC foundation considering homogeneous and inhomogeneous soil interactions.” In Proc., CIGOS 2019, Innovation for Sustainable Infrastructure, 653–658. Singapore: Springer.
Rathje, E. M., A. R. Kottke, and W. L. Trent. 2010. “Influence of input motion and site property variabilities on seismic site response analysis.” J. Geotech. Geoenviron. Eng. 136 (4): 607–619. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000255.
Rota, M., C. G. Lai, and C. L. Strobbia. 2011. “Stochastic 1D site response analysis at a site in central Italy.” Soil Dyn. Earthquake Eng. 31 (4): 626–639. https://doi.org/10.1016/j.soildyn.2010.11.009.
Salman, K., T. T. Tran, and D. Kim. 2020. “Seismic capacity evaluation of NPP electrical cabinet facility considering grouping effects.” J. Nucl. Sci. Technol. 1–13. https://doi.org/10.1080/00223131.2020.1724206.
Schnabel, P. B., J. Lysmer, and H. B. Seed. 1972. SHAKE: A computer program for earthquake response analysis of horizontally layered sites. Oakland, CA: Earthquake Engineering Research Center.
Toro, G. R. 1996. Probabilistic models of site velocity profiles for generic and site-specific ground motion amplification studies. Upton, NY: Brookhaven National Laboratory.
Tran, T.-T., S. R. Han, and D. Kim. 2018. “Effect of probabilistic variation in soil properties and profile of site response.” Soils Found. 58 (6): 1339–1349. https://doi.org/10.1016/j.sandf.2018.07.006.
Tran, T.-T., and D. Kim. 2019. “Uncertainty quantification for nonlinear seismic analysis of cabinet facility in nuclear power plants.” Nucl. Eng. Des. 355 (Dec): 110309. https://doi.org/10.1016/j.nucengdes.2019.110309.
Tran, T.-T., P. C. Nguyen, S. R. Han, and D. Kim. 2020. “Stochastic site response analysis in consideration with various probability distributions of geotechnical properties.” In Proc., CIGOS 2019, Innovation for Sustainable Infrastructure, 901–906. Singapore: Springer.
Von Thun, J. L., L. H. Roehm, G. A. Scott, and J. A. Wilson. 1988. “Earthquake ground motions for design and analysis of dams.” In Earthquake engineering and soil dynamics. II—Recent advances in ground-motion evaluation. Reston, VA: ASCE.
Wang, H., X. Wang, J. F. Wellmann, and R. Y. Liang. 2018. “Bayesian stochastic soil modeling framework using Gaussian Markov random fields.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (2): 04018014. https://doi.org/10.1061/AJRUA6.0000965.
Wang, Y., Z. Cao, and D. Li. 2016. “Bayesian perspective on geotechnical variability and site characterization.” Eng. Geol. 203 (Mar): 117–125. https://doi.org/10.1016/j.enggeo.2015.08.017.
Wang, Y., T. Zhao, and Z. Cao. 2015. “Site-specific probability distribution of geotechnical properties.” Comput. Geotech. 70 (Oct): 159–168. https://doi.org/10.1016/j.compgeo.2015.08.002.
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©2020 American Society of Civil Engineers.
History
Received: Dec 9, 2019
Accepted: Apr 7, 2020
Published online: Jun 18, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 18, 2020
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