Technical Papers
Sep 17, 2014

Machine-Learning Methods for Earthquake Ground Motion Analysis and Simulation

Publication: Journal of Engineering Mechanics
Volume 141, Issue 4

Abstract

This paper presents a novel method of data-based probabilistic seismic hazard analysis (PSHA) and ground motion simulation, verified using previously recorded strong-motion data and machine-learning techniques. The procedure consists of three parts: (1) selection of an orthonormal set of basis vectors called eigenquakes to represent characteristic earthquake records; (2) estimation of response spectra for the anticipated level of shaking for a scenario earthquake at a site using Gaussian process regression; and (3) optimal combination of the eigenquakes to generate time series of ground acceleration consistent with the response spectral ordinates obtained in the second part. The paper discusses the benefits of applying such machine-learning methods to strong-motion databases for PSHA and ground motion simulation, particularly in large urban areas where dense instrumentation is available or expected. The effectiveness of the proposed methodology is exhibited using four scenario examples for downtown Los Angeles. Advantages, disadvantages, and future research needs for this machine-learning approach to PSHA are discussed.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The Earthquake Engineering Research Institute (EERI)/FEMA National Earthquake Hazards Reduction Program (NEHRP) Professional Fellowship and a California Institute of Technology (Caltech) Visiting Associateship awarded to the first author provided financial, logistical, and technical support for this project. Their support is greatly appreciated by both authors. Caltech’s Center for Advanced Computing Research (CACR) was instrumental in providing needed computational resources for the parallel processing tasks involved in this research, and their assistance is greatly appreciated. The work in this paper used recorded data that were provided by the PEER-NGA program through Dr. Yousef Bozorgnia of the University of California at Berkeley and by Professor Masumi Yamada of Kyoto University. Professor Sami Masri of the University of Southern California provided great advice during this study for which both authors are thankful.

References

Abrahamson, N., et al. (2008). “Comparisons of the NGA ground-motion relations.” Earthq. Spectra, 24(1), 45–66.
Abrahamson, N., and Silva, W. (2008). “Summary of the Abrahamson & Silva NGA ground-motion relations.” Earthq. Spectra, 24(1), 67–97.
Ahmadi, G. (1979). “Generation of artificial time histories compatible with given response spectra—A review.” Solid Mech. Arch., 4(3), 207–239.
Ahmadi, G. (1980). “A note on the Wiener-Hermite representation of the earthquake ground acceleration.” Mech. Res. Commun., 7(1), 7–13.
Alimoradi, A. (2011). “Earthquake ground motion simulation using novel machine learning tools.” EERL 2011-01, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, CA.
Alimoradi, A., Miranda, E., Taghavi, S., and Naeim, F. (2006). “Evolutionary modal identification utilizing coupled shear-flexural response—Implication for multistory buildings. Part I: Theory.” Struct. Des. Tall Spec. Build., 15(1), 51–65.
Alimoradi, A., and Naeim, F. (2006). “Evolutionary modal identification utilizing coupled shear-flexural response—Implication for multistory buildings. Part II: Application.” Struct. Des. Tall Spec. Build., 15(1), 67–103.
Alimoradi, A., Pezeshk, S., and Foley, C. M. (2007). “Probabilistic performance-based optimal design of steel moment-resisting frames. II: Applications.” J. Struct. Eng., 767–776.
Alimoradi, A., Pezeshk, S., Naeim, F., and Frigui, H. (2005). “Fuzzy pattern classification of strong ground motion records.” J. Earthquake Eng., 9(3), 307–332.
Amin, M., and Ang, A. H.-S. (1968). “Nonstationary stochastic models of earthquake motions.” J. Engrg. Mech. Div., 94(2), 559–584.
Anderson, J. G. (2010). “Source and site characteristics of earthquakes that have caused exceptional ground accelerations and velocities.” Bull. Seismol. Soc. Am., 100(1), 1–36.
ASCE. (2006). “Minimum design loads for buildings and other structures.” 7-05, Reston, VA.
ASCE. (2011). “Report card for America’s infrastructure.” 〈http://www.infrastructurereportcard.org/〉 (Apr. 2011).
Atkinson, G. M., and Beresnev, I. (2002). “Ground motions at Memphis and St. Louis from M 7.5–8.0 earthquakes in the New Madrid seismic zone.” Bull. Seismol. Soc. Am., 92(3), 1015–1024.
Atkinson, G. M., and Silva, W. (1997). “An empirical study of earthquake source spectra for California earthquakes.” Bull. Seismol. Soc. Am., 87(1), 97–113.
Baker, J. W. (2011). “Conditional mean spectrum: Tool for ground-motion selection.” J. Struct. Eng., 322–331.
Baker, J. W., and Cornell, C. A. (2005). “A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon.” Earthquake Eng. Struct. Dynam., 34(10), 1193–1217.
Baker, J. W., and Cornell, C. A. (2006). “Spectral shape, epsilon and record selection.” Earthquake Eng. Struct. Dynam., 35(9), 1077–1095.
Baker, J. W., and Cornell, C. A. (2008). “Vector-valued intensity measures for pulse-like near-fault ground motions.” Eng. Struct., 30(4), 1048–1057.
Bazzurro, P., and Cornell, C. A. (1999). “Disaggregation of seismic hazard.” Bull. Seismol. Soc. Am., 89(2), 501–520.
Beck, J. L. (2010). “Bayesian system identification based on probability logic.” Struct. Contr. Health Monit., 17(7), 825–847.
Beck, J. L., and Katafygiotis, L. S. (1998). “Updating models and their uncertainties. I: Bayesian statistical framework.” J. Eng. Mech., 455–461.
Beyer, K., and Bommer, J. J. (2007). “Selection and scaling of real accelerograms for bi-directional loading: A review of current practice and code provisions.” J. Earthquake Eng., 11(S1), 13–45.
Bishop, C. M. (1999). “Variational principal components.” Proc., 9th Int. Conf. on Neural Networks (ICANN'99), Vol. 1, Institution of Engineering and Technology (IET), Stevenage, U.K., 509–514.
Bishop, C. M. (2006). Pattern recognition and machine learning, Springer, New York.
Bommer, J. J., and Abrahamson, N. A. (2006). “Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates?” Bull. Seismol. Soc. Am., 96(6), 1967–1977.
Bommer, J. J., and Abrahamson, N. A. (2007a). “Reply to ‘Comment on “Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates?” by Julian J. Bommer and Norman A. Abrahamson’ by Jens-Uwe Klugel.” Bull. Seismol. Soc. Am., 97(6), 2208–2211.
Bommer, J. J., and Abrahamson, N. A. (2007b). “Reply to ‘Comment on “Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates?” by Julian J. Bommer and Norman A. Abrahamson’ by Zhenming Wang and Mai Zhou.” Bull. Seismol. Soc. Am., 97(6), 2215–2217.
Boore, D. M. (1983). “Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra.” Bull. Seismol. Soc. Am., 73(6A), 1865–1894.
Boore, D. M., and Atkinson, G. M. (2008). “Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s.” Earthq. Spectra, 24(1), 99–138.
Bozorgnia, Y., and Bertero, V. V. (2004). Earthquake engineering: From engineering seismology to performance-based engineering, CRC Press, Boca Raton, FL.
Campbell, K. W., and Bozorgnia, Y. (2008). “NGA ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5% damped linear elastic response spectra for periods ranging from 0.01 to 10 s.” Earthq. Spectra, 24(1), 139–171.
Center for Advanced Computing Research (CACR). (2011). “Caltech Center for Advanced Computing Research.” 〈http://www.cacr.caltech.edu/main/〉 (May 2011).
Chan, E. (1997). “Optimal design of building structures using genetic algorithms.” EERL-97-06, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, CA.
Cheung, S. H., and Beck, J. L. (2010). “Calculation of posterior probabilities for Bayesian model class assessment and averaging from posterior samples based on dynamic system data.” Comput. Aided Civ. Infrastruct. Eng., 25(5), 304–321.
Chiou, B. S. J., and Youngs, R. R. (2008). “An NGA model for the average horizontal component of peak ground motion and response spectra.” Earthq. Spectra, 24(1), 173–215.
Choi, Y., Stewart, J. P., and Graves, R. W. (2005). “Empirical model for basin effects accounts for basin depth and source location.” Bull. Seismol. Soc. Am., 95(4), 1412–1427.
Chou, J.-H., and Ghaboussi, J. (2001). “Genetic algorithm in structural damage detection.” Comput. Struct., 79(14), 1335–1353.
Conte, J. P., Pister, K. S., and Mahin, S. A. (1992). “Nonstationary ARMA modeling of seismic motion.” Soil Dyn. Earthquake Eng., 11(7), 411–426.
Cornell, C. A. (1968). “Engineering seismic risk analysis.” Bull. Seismol. Soc. Am., 58(5), 1583–1606.
Delavaud, E., Scherbaum, F., Kuehn, N., and Riggelsen, C. (2009). “Information-theoretic selection of ground-motion prediction equations for seismic hazard analysis: An applicability study using Californian data.” Bull. Seismol. Soc. Am., 99(6), 3248–3263.
Der Kiureghian, A., and Crempien, J. (1989). “An evolutionary model for earthquake ground motion.” Struct. Saf., 6(2–4), 235–246.
Foley, C. M., Pezeshk, S., and Alimoradi, A. (2007). “Probabilistic performance-based optimal design of steel moment-resisting frames. I: Formulation.” J. Struct. Eng., 757–766.
Geller, R. J. (2011). “Shake-up time for Japanese seismology.” Nature, 472(7344), 407–409.
Giaralis, A., and Spanos, P. D. (2009). “Wavelet-based response spectrum compatible synthesis of accelerograms—Eurocode application (EC8).” Soil. Dyn. Earthquake Eng., 29(1), 219–235.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning, Addison-Wesley, Boston.
Grigoriu, M. (2011). “To scale or not to scale seismic ground-acceleration records.” J. Eng. Mech., 284–293.
Gu, P., and Wen, Y. K. (2007). “A record-based method for the generation of tridirectional uniform hazard-response spectra and ground motions using the Hilbert-Huang transform.” Bull. Seismol. Soc. Am., 97(5), 1539–1556.
Hanks, T. C., and McGuire, R. K. (1981). “The character of high-frequency strong ground motion.” Bull. Seismol. Soc. Am., 71(6), 2071–2095.
Hough, S. E., et al. (2010). “Localized damage caused by topographic amplification during the 2010 M7.0 Haiti earthquake.” Nat. Geosci., 3(11), 778–782.
Housner, G. W. (1975). “Measures of severity of earthquake ground shaking.” Proc., U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA, 25–33.
Housner, G. W., and Jennings, P. C. (1964). “Generation of artificial earthquakes.” J. Engrg. Mech. Div., 90(1), 113–152.
Housner, G. W., and Jennings, P. C. (1982). Earthquake design criteria, Earthquake Engineering Research Institute, Oakland, CA.
Idriss, I. M. (2008). “An NGA empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes.” Earthq. Spectra, 24(1), 217–242.
Jennings, P. C., Housner, G. W., and Tsai, N. C. (1969). “Simulated earthquake motions for design purposes.” Proc., 4th World Conf. on Earthquake Engineering, Chilean Association on Seismology and Earthquake Engineering, Santiago, Chile.
Jolliffe, I. T. (2002). Principal component analysis, Springer, New York.
Kim, Y.-J., and Ghaboussi, J. (2001). “Direct use of design criteria in genetic algorithm-based controller optimization.” Earthquake Eng. Struct. Dynam., 30(9), 1261–1278.
Klugel, J.-U. (2007). “Comment on ‘Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates?’ by Julian J. Bommer and Norman A. Abrahamson.” Bull. Seismol. Soc. Am., 97(6), 2198–2207.
Klugel, J.-U. (2009). “Comment on ‘Sigma: Issues, insights and challenges’ by F. O. Strasser, N. A. Abrahamson, and J. J. Bommer.” Seismol. Res. Lett., 80(3), 494–498.
Kottke, A., and Rathje, E. M. (2008). “A semi-automated procedure for selecting and scaling recorded earthquake motions for dynamic analysis.” Earthq. Spectra, 24(4), 911–932.
Kramer, S. L. (1996). Geotechnical earthquake engineering, Prentice Hall, Upper Saddle River, NJ.
Krawinkler, H. (2001). Progress and challenges in performance-based earthquake engineering, Earthquake Engineering Research Institute, Oakland, CA.
Luco, N., and Bazzurro, P. (2007). “Does amplitude scaling of ground motion records result in biased nonlinear structural drift responses?” Earthquake Eng. Struct. Dynam., 36(13), 1813–1835.
MATLAB 2009 [Computer software]. Natick, MA, MathWorks.
McGuire, R. K. (2004). Seismic hazard and risk analysis, Earthquake Engineering Research Institute, Oakland, CA.
McGuire, R. K. (2008). “Probabilistic seismic hazard analysis: Early history.” Earthquake Eng. Struct. Dynam., 37(3), 329–338.
Mobarakeh, A. A., Rofooei, F. R., and Ahmadi, G. (2002). “Simulation of earthquake records using time-varying Arma (2,1) model.” Probab. Eng. Mech., 17(1), 15–34.
Musson, R. M. W. (2009). “Ground motion and probabilistic hazard.” Bull. Earthquake Eng., 7(3), 575–589.
Naeim, F., Alimoradi, A., and Pezeshk, S. (2004). “Selection and scaling of ground motion time histories for structural design using genetic algorithms.” Earthq. Spectra, 20(2), 413–426.
Newmark, N. M., and Hall, W. J. (1982). Earthquake spectra and design, Earthquake Engineering Research Institute, Oakland, CA.
Pacific Earthquake Engineering Research Center (PEER). (2011a). “Ground motion selection and modification program.” 〈http://peer.berkeley.edu/gmsm/index.html〉 (Apr. 2011).
Pacific Earthquake Engineering Research Center (PEER). (2011b). “NGA database.” 〈http://peer.berkeley.edu/nga/〉 (Jan. 2011).
Papadimitriou, K. (1990). “Stochastic characterization of strong ground motion and application to structural response.” Ph.D. thesis, California Institute of Technology, Pasadena, CA.
Papadimitriou, K., and Beck, J. L. (1990). “Nonstationary stochastic characterization of strong-motion accelerograms.” Proc., 4th U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, El Cerrito, CA.
Papadimitriou, K., and Beck, J. L. (1992). “Stochastic characterization of ground motion and applications to structural response.” Proc., 10th World Conf. on Earthquake Engineering, Vol. 2, Balkema, Rotterdam, Netherlands.
Raich, A. M., and Ghaboussi, J. (2000). “Evolving structural design solutions using an implicit redundant genetic algorithm.” Struct. Multidisciplin. Optim., 20(3), 222–231.
Rasmussen, C. E. (2006). “Advances in Gaussian processes.” Advances in Neural Information Processing Systems 19, MIT Press, Cambridge, MA.
Rasmussen, C. E., and Williams, C. K. I. (2006). Gaussian processes for machine learning, MIT Press, Cambridge, MA.
Rezaeian, S., and Der Kiureghian, A. (2008). “A stochastic ground motion model with separable temporal and spectral nonstationarities.” Earthquake Eng. Struct. Dynam., 37(13), 1565–1584.
Saragoni, G. R., and Hart, G. C. (1973). “Simulation of artificial earthquakes.” Earthquake Eng. Struct. Dynam., 2(3), 249–267.
Scherbaum, F., Delavaud, E., and Riggelsen, C. (2009). “Model selection in seismic hazard analysis: An information-theoretic perspective.” Bull. Seismol. Soc. Am., 99(6), 3234–3247.
Shahbazian, A., and Pezeshk, S. (2010). “Improved velocity and displacement time histories in frequency domain spectral-matching procedures.” Bull. Seismol. Soc. Am., 100(6), 3213–3223.
Shome, N., Cornell, C. A., Bazzurro, P., and Carballo, J. E. (1998). “Earthquakes, records, and nonlinear responses.” Earthq. Spectra, 14(3), 469–500.
Song, S. G., and Somerville, P. (2010). “Physics-based earthquake source characterization and modeling with geostatistics.” Bull. Seismol. Soc. Am., 100(2), 482–496.
Strasser, F. O., and Bommer, J. J. (2009). “Review: Strong ground motions—Have we seen the worst?” Bull. Seismol. Soc. Am., 99(5), 2613–2637.
USGS. (2008). “2008 interactive deaggregations.” 〈http://geohazards.usgs.gov/deaggint/2008/〉 (Sep. 2013).
USGS. (2011). “ANSS—Advanced National Seismic System.” 〈http://earthquake.usgs.gov/monitoring/anss/〉 (Jun. 2011).
Wang, M., and Takada, T. (2009). “A Bayesian framework for prediction of seismic ground motion.” Bull. Seismol. Soc. Am., 99(4), 2348–2364.
Wang, Z., and Zhou, M. (2007). “Comment on ‘Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates?’ by Julian J. Bommer and Norman A. Abrahamson.” Bull. Seismol. Soc. Am., 97(6), 2212–2214.
Watson-Lamprey, J., and Abrahamson, N. (2006). “Selection of ground motion time series and limits on scaling.” Soil. Dyn. Earthquake Eng., 26(5), 477–482.
Yamada, M., Mori, J., and Heaton, T. (2009). “The slapdown phase in high-acceleration records of large earthquakes.” Seismol. Res. Lett., 80(4), 559–564.
Yamamoto, Y., and Baker, J. W. (2011). “Stochastic model for earthquake ground motions using wavelet packets.” Proc., 11th Int. Conf. on Applications of Statistics and Probability in Civil Engineering, CRC Press, Boca Raton, FL.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 4April 2015

History

Received: Sep 26, 2013
Accepted: Aug 18, 2014
Published online: Sep 17, 2014
Published in print: Apr 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Arzhang Alimoradi, M.ASCE [email protected]
Graduate Student, Dept. of Mathematics, Southern Methodist Univ., Dallas, TX 75205 (corresponding author). E-mail: [email protected]
James L. Beck, M.ASCE
George W. Housner Professor of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share