Technical Papers
Jun 21, 2016

Surface-Wave Dispersion Approach for Evaluating Statistical Models That Account for Shear-Wave Velocity Uncertainty

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 142, Issue 11

Abstract

A number of strategies exist to account for the epistemic uncertainty and aleatory variability in shear-wave velocity (Vs) profiles used in site response analyses. Epistemic uncertainty may be accounted for by using median and bounding-type profiles (e.g., ±20%), while aleatory variability may be accounted for by using Vs randomization procedures. A robust, quantitative method to help judge how well these statistically derived Vs profiles represent actual subsurface stiffness or layering conditions is currently not available. This paper presents a surface-wave dispersion approach for evaluating statistical models meant to account for Vs uncertainty in site response. Specifically, surface-wave dispersion data from two geologically disparate sites were used to generate 1,000Vs profiles and layered earth models whose theoretical dispersion curves fit within the uncertainty bounds of the experimental data collected at each site. Additionally, theoretical dispersion curves generated from statistical Vs profiles such as the median, bounding-type, and randomly generated Vs profiles for each site were compared with the experimentally measured dispersion data. It was found that the theoretical dispersion curve from the median Vs profile provided a satisfactory fit to the experimental data, but the theoretical dispersion curves from bounding-type Vs profiles did not. Furthermore, randomly generated Vs profiles resulted in some theoretical dispersion curves that fit the experimental data and many that did not. The authors recommend comparing theoretical dispersion curves for candidate Vs profiles and layered earth models with the measured dispersion data at a site prior to using the candidate profiles to account for uncertainty in site response analyses as a quantitative way to judge if the Vs profiles represent realistic site conditions.

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Acknowledgments

This work was supported primarily by U.S. National Science Foundation (NSF) grant CMMI-1261775. However, any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of NSF. The authors would also like to acknowledge and thank the organizing committee of the InterPacific project, which was formed under the Research & Development Program SIGMA, funded by EDF, AEREVA, CEA, and ENEL, and the CASHIMA project, funded by CEA, ILL, and IITER Organization.

References

AASHTO. (2011). “Guide specifications for LRFD seismic bridge design.” Washington, DC.
Aki, K. (1957). “Space and time spectra of stationary stochastic waves, with special reference to microtremors.” Bull. Earthquake Res. Inst., 35, 415–457.
ASCE. (2010). “Minimum design loads for buildings and other structures.” ASCE/SEI 7-10, Reston, VA.
Barani, S., Ferrari, R. D., and Ferretti, G. (2013). “Influence of soil modeling uncertainties on site response.” Earthquake Spectra, 29(3), 705–732.
Bazzuro, P., and Cornell, C. (2004). “Ground motion amplification in nonlinear soil sites with uncertain properties.” Bull. Seismol. Soc. Am., 94(6), 2090–2109.
Bettig, B., et al. (2001). “Analysis of dense array noise measurements using the modified spatial auto correlation method (SPAC): Application to the Grenoble area.” Bollettino de Geofisica Teoria e Applicata, 42(3–4), 281–304.
Capon, J. (1969). “High resolution frequency-wavenumber spectrum analysis.” Proc. IEEE, 57(8), 1408–1418.
Comina, C., Foti, S., Boiero, D., and Socco, L. V. (2011). “Reliability of VS,30 evaluation from surface-wave tests.” J. Geotech. Geoenviron. Eng., 579–586.
Cornou, C., Ohrnberger, M., Boore, D. M., Kudo, K., and Bard, P-Y (2006). “Derivation of structural models from ambient vibration array recordings: Results from an international blind test.” Environmental Science and Geoscience (ESG), P.-Y. Bard, E. Chaljub, C. Cornou, F. Cotton, and P. Gueguen, eds., Vol. 2, Grenoble, France, 1127–1219.
Cox, B. R., Wood, C. M., and Teague, D. P. (2014). “Synthesis of the UTexas1 surface wave dataset blind-analysis study: Inter-analyst dispersion and shear wave velocity uncertainty.” Proc., 2014 Geo–Congress Technical Papers: Geo-Characterization and Modeling for Suntainability, Geo-Institute of ASCE, Reston, VA, 850–859.
Dou, S., and Ajo-Franklin, J. B. (2014). “Full-waveform inversion of surface waves for mapping embedded low-velocity zones in permafrost.” Geophysics, 79(6), EN107–EN124.
Dunkin, J. W. (1965). “Computation of modal solutions in layered, elastic media at high frequencies.” Bull. Seismol. Soc. Am., 55, 335–358.
Electric Power Research Institute. (2012). “Seismic evaluation guidance: Screening, prioritization and implementation details (SPID) for the resolution of Fukushima near-term task force recommendation 2.1: Seismic.”, Palo Alto, CA.
Fah, D., Stamm, G., and Havenith, H. B. (2008). “Analysis of three-component ambient vibration array measurements.” Geophys. J. Int., 172(1), 199–213.
Foti, S., Comina, C., Boiero, D., and Socco, L. V. (2009). “Non-uniqueness in surface-wave inversion and consequences on seismic site response analyses.” Soil Dyn. Earthquake Eng., 29(6), 982–993.
Foti, S., Lai, C., Rix, G., and Strobbia, C. (2014). Surface wave methods for near-surface characterization, CRC Press, Boca Raton, FL.
Foti, S., Parolai, S., Albarello, D., and Picozzi, M. (2011). “Application of surface-wave methods for seismic site characterization.” Surv. Geophys., 32(6), 777–825.
Garofalo, F., et al. (2016a). “InterPACIFIC project: Comparison of invasive and non-invasive methods for seismic site characterization. Part I: Intra-comparison of surface wave methods.” Soil Dyn. Earthquake Eng., 82, 222–240.
Garofalo, F., et al. (2016b). “InterPACIFIC project: Comparison of invasive and non-invasive methods for seismic site characterization. Part II: Inter-comparison between surface-wave and borehole methods.” Soil Dyn. Earthquake Eng., 82, 241–254.
Geopsy [Computer software]. 〈〉.
Griffiths, S. C., Cox, B. R., Rathje, E. M., and Teague, D. P. (2016). “Mapping dispersion misfit and uncertainty in Vs profiles to variability in site response estimates.” J. Geotech. Geoenviron. Eng., in press.
Haskell, N. A. (1953). “The dispersion of surface waves on multilayered media.” Bull. Seismol. Soc. Am., 43, 17–34.
Herrmann, R. B. (1987). “Surface wave inversion. Computer program in seismology.” Saint Louis Univ., Saint Louis.
Hobiger, M., Le Bihan, N., Cornou, C., and Bard, P. Y. (2012). “Multicomponent signal processing for Rayleigh wave ellipicity estimation.” IEEE Signal Process. Mag., 29(3), 29–39.
Knopoff, L. (1964). “A matrix method for elastic wave problems.” Bull. Seismol. Soc. Am., 54(1), 431–438.
Kottke, A., and Rathje, E. (2009). “Technical manual for STRATA.”, Pacific Earthquake Engineering Research Center, Berkeley, CA.
Lai, C. G. (1998). “Simultaneous inversion of Rayleigh phase velocity and attenuation for near-surface site characterization.” Ph.D. dissertation, School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta.
Maraschini, M., and Foti, S. (2010). “A Monte Carlo multimodal inversion of surface waves.” Geophys. J. Int., 182(3), 1557–1566.
Matasovic, N., and Hashash, Y. (2012). “NCHRP synthesis 428: Practices and procedures for site-specific evaluations of earthquake ground motions, a synthesis of highway practice.” National Cooperative Highway Research Program of the Transportation Research Board, Washington, DC.
Molnar, S., Dosso, S. E., and Cassidy, J. F. (2010). “Bayesian inversion of microtremor array dispersion data in southwestern British Columbia.” Geophys. J. Int., 183(2), 923–940.
Park, C., Xia, J., and Miller, R. (1998). “Imaging dispersion curves of surface waves on multi-channel record.” 68th Annual Int. Meeting of the Society of Exploration Geophysicists, Society of Exploration Geophysicists, Tulsa, OK, 1377–1380.
Poggi, V., and Fah, D. (2010). “Estimating Rayleigh wave particle motions from three-component array analysis of ambient vibrations.” Geophys. J. Int., 180(1), 251–267.
Rathje, E. M., Kottke, A. R., and Trent, W. L. (2010). “Influence of input motion and site property variabilities on seismic site response analysis.” J. Geotech. Geoenviron. Eng., 607–619.
Rix, G. J., Hebeler, G. L., and Orozco, M. C. (2002). “Near-surface Vs profiling in the new Madrid seismic zone using surface-save methods.” Seismol. Res. Lett., 73(3), 380–392.
Rodriguez-Marek, A., Rathje, E. M., Bommer, J. J., Scherbaum, F., and Stafford, P. J. (2014). “Application of single-station sigma and site-response characterization in a probabilistic seismic-hazard analysis for a new nuclear site.” Bull. Seismol. Soc. Am., 104(4), 1601–1619.
Rothman, D. (1985). “Nonlinear inversion, statistical mechanics, and residual statics estimation.” Geophysics, 50(12), 2784–2796.
Socco, L., Foti, S., and Boiero, D. (2010). “Surface-wave analysis for building near-surface velocity models—Established approaches and new perspectives.” Geophysics, 75(5), 75A83–75A102.
Socco, L. V., and Boiero, D. (2008). “Improved Monte Carlo inversion of surface wave data.” Geophys. Prospect., 56(3), 357–371.
Stokoe, K. H., II, Wright, S. G., Bay, J. A., and Roësset, J. M. (1994). “Characterization of geotechnical sites by SASW method.” Geophysical characterization of sites, R. D. Woods, ed., Oxford & IBH, New Delhi, India, 15–25.
STRATA [Computer software]. 〈〉.
Thomson, W. T. (1950). “Transmission of elastic waves through a stratified solid medium.” J. Appl. Phys., 21(2), 89–93.
Toro, G. (1995). “Probabilistic models of the site velocity profiles for generic and site–specific ground–motion amplification studies.”, Brookhaven National Laboratory, Upton, NY.
Wathelet, M., Jongmans, D., and Ohrnberger, M. (2004). “Surface-wave inversion using a direct search algorithm and its application to ambient vibration measurements.” Near Surf. Geophys., 2(4), 211–221.
Wood, C. M., and Cox, B. R. (2012). “A comparison of MASW dispersion uncertainty and bias for impact and harmonic sources.” ASCE Geo-Congress 2012: State of the Art and Practice in Geotechnical Engineering, ASCE, Reston, VA.
Wood, C. M., Ellis, T. B., Teague, D. P., and Cox, B. R. (2014). “Comprehensive analysis of the UTexas1 surface wave dataset analyst I.” Proc., 2014 Geo–Congress Technical Papers: Geo-Characterization and Modeling for Sustainability, Geo-Institute of ASCE, Reston, VA.
Xia, J., Miller, R. D., and Park, C. B. (1999). “Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves.” Geophysics, 64(3), 691–700.
Yamanaka, H., and Ishida, H. (1996). “Application of generic algorithms to an inversion of surface-wave dispersion data.” Bull. Earthquake Eng., 86(2), 436–444.
Zywicki, D. J. (1999). “Advanced signal processing methods applied to engineering analysis of seismic surface waves.” Ph.D. dissertation, School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 142Issue 11November 2016

History

Received: Aug 14, 2015
Accepted: Apr 5, 2016
Published online: Jun 21, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 21, 2016

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Authors

Affiliations

Shawn C. Griffiths, Ph.D. [email protected]
Assistant Professor, Dept. of Civil and Architectural Engineering, Univ. of Wyoming, Dept. 3295, 1000 E. University Ave., Laramie, WY 82071 (corresponding author). E-mail: [email protected]
Brady R. Cox, Ph.D.
P.E.
Associate Professor, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas, 301 E. Dean Keeton Stop C1792, Austin, TX 78712.
Ellen M. Rathje, Ph.D.
P.E.
Professor, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas, 301 E. Dean Keeton Stop C1792, Austin, TX 78712.
David P. Teague
Graduate Research Assistant, Dept. of Civil, Architectural and Environmental Engineering, Univ. of Texas, 301 E. Dean Keeton Stop C1792, Austin, TX 78712.

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