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Extending ground-motion prediction equations for spectral accelerations to higher response frequencies

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Abstract

Ground-motion prediction equations (GMPEs) for spectral accelerations have traditionally focused on the range of response periods most closely associated with the dynamic characteristics of buildings. Providing predictions only in this period range (from 0.1 to 2 or 3 s) has also accommodated the assumed limitations on the usable period range resulting from the processing of accelerograms. There are, however, engineering applications for which estimates of spectral ordinates are required at shorter response periods. Recent work has demonstrated that high-frequency spectral ordinates are relatively insensitive to record processing, contrary to previous assumptions. In the light of this finding, additional regressions are performed to extend a recent pan-European GMPE to higher response frequencies. This model and others that also include coefficients for spectral ordinates at several high response frequencies are used to explore options for interpolating coefficients for equations that do not provide good coverage in this range. The challenges and uncertainties associated with such interpolations are discussed. The paper concludes that a set of standard response frequencies could be usefully established for future GMPEs.

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References

  • Abrahamson NA, Silva WJ (2008) Summary of the Abrahamson & Silva NGA ground-motion relations. Earthq Spectra 24(1): 67–97

    Article  Google Scholar 

  • Akkar S, Bommer JJ (2006) Influence of long-period filter cut-off on elastic spectral displacements. Earthq Eng Struct Dyn 35(9): 1145–1165

    Article  Google Scholar 

  • Akkar S, Bommer JJ (2007a) Empirical prediction equations for peak ground velocity derived from strong-motions records from Europe and the Middle East. Bull Seismol Soc Am 97(2): 511–530

    Article  Google Scholar 

  • Akkar S, Bommer JJ (2007b) Prediction of elastic displacement response spectra at multiple damping levels in Europe and the Middle East. Earthq Eng Struct Dyn 36(10): 1275–1301

    Article  Google Scholar 

  • Akkar S, Bommer JJ (2010) Empirical equations for the prediction of PGA, PGV and spectral accelerations in Europe, the Mediterranean and the Middle East. Seismol Res Lett 81(2): 195–206

    Article  Google Scholar 

  • Akkar S, Çağnan Z (2010) A local ground-motion predictive model for Turkey and its comparison with other regional and global ground-motion models. Bull Seismol Soc Am 100(6): 2978–2995

    Article  Google Scholar 

  • Akkar S, Kale Ö, Yenier E, Bommer JJ (2011) The high-frequency limit of usable response spectral ordinates from filtered analogue and digital strong-motion accelerograms. Earthq Eng Struct Dyn. doi:10.1002/eqe.1095 (in press)

  • Al Atik L, Abrahamson NA, Bommer JJ, Scherbaum F, Cotton F, Kuehn N (2010) The variability of ground-motion prediction models and its components. Seismol Res Lett 81(5): 783–793

    Article  Google Scholar 

  • Ambraseys NN, Simpson KA, Bommer JJ (1996) The prediction of horizontal response spectra in Europe. Earthq Eng Struct Dyn 25: 371–400

    Article  Google Scholar 

  • Ambraseys NN, Smit P, Douglas J, Margaris B, Sigbjörnsson R, Ólafsson S, Suhadolc P, Costa G (2004) Internet site for European strong-motion data. Bollettino di Geofisica Teorica ed Applicata 45(3): 113–129

    Google Scholar 

  • Ambraseys NN, Douglas J, Smit P, Sarma SK (2005) Equations for the estimation of strong ground motions from shallow crustal earthquakes using data from Europe and the Middle East: Horizontal peak ground acceleration and spectral acceleration. Bull Earthquake Eng 3(1): 1–35

    Article  Google Scholar 

  • Atkinson GM (2008) Ground-motion prediction equations for Eastern North America from a referenced empirical approach: implications for epistemic uncertainty. Bull Seismol Soc Am 98(3): 1304–1318

    Article  Google Scholar 

  • Atkinson GM, Boore DM (2003) Empirical ground-motion relations for subduction-zone earthquakes and their application to Cascadia and other regions. Bull Seismol Soc Am 93(4): 1703–1729

    Article  Google Scholar 

  • Atkinson GM, Boore DM (2006) Earthquake ground-motion prediction equations for Eastern North America. Bull Seismol Soc Am 96(6): 2181–2205

    Article  Google Scholar 

  • Atkinson GM, Macias M (2009) Predicted ground motions for great interface earthquakes in the Cascadia subduction zone. Bull Seismol Soc Am 99(3): 1552–1578

    Article  Google Scholar 

  • Berge-Thierry C, Cotton F, Scotti O, Griot-Pommera D-A, Fukushima Y (2003) New empirical spectral attenuation laws for moderate European earthquakes. J Earthq Eng 7(2): 193–222

    Google Scholar 

  • Bindi D, Luzi L, Pacor F, Sabetta F, Massa M (2009) Towards a new reference ground motion prediction equation for Italy: update of the Sabetta-Pugliese (1996). Bull Earthquake Eng 7(3): 591–608

    Article  Google Scholar 

  • Bommer JJ, Scherbaum F, Bungum H, Cotton F, Sabetta F, Abrahamson NA (2005) On the use of logic trees for ground-motion prediction equations in seismic hazard assessment. Bull Seismol Soc Am 95(2): 377–389

    Article  Google Scholar 

  • Bommer JJ, Douglas J, Scherbaum F, Cotton F, Bungum H, Fäh D (2010) On the selection of ground-motion prediction equations for seismic hazard analysis. Seismol Res Lett 81(5): 794–801

    Article  Google Scholar 

  • Bommer JJ, Akkar S, Kale Ö (2011a) A model for vertical-to-horizontal response spectral ratios for Europe and the Middle East. Bull Seismol Soc Am 101(4) (in press)

  • Bommer JJ, Papaspiliou M, Price W (2011b) Earthquake response spectra for seismic design of nuclear power plants in the UK. Nucl Eng Des 241(3): 968–977

    Article  Google Scholar 

  • Boore DM, Atkinson GM (2008) Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.1 s and 10.0 s. Earthq Spectra 24(1): 99–138

    Article  Google Scholar 

  • Boore DM, Bommer JJ (2005) Processing strong-motion accelerograms: needs, options and consequences. Soil Dyn Earthq Eng 25(2): 93–115

    Article  Google Scholar 

  • Bozorgnia Y, Campbell KW (2004) The vertical-to-horizontal spectral ratio and tentative procedures for developing simplified V/H and vertical design spectra. J Earthq Eng 4(4): 539–561

    Google Scholar 

  • Brady AG, Trifunac MD, Hudson DE (1973) Analyses of strong motion earthquake accelerograms—response spectra. EERC Technical Report, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena

  • Campbell KW (2003) Prediction of strong ground motion using the hybrid empirical method and its use in the development of ground-motion (attenuation) relations in Eastern North America. Bull Seismol Soc Am 93(3): 1012–1033

    Article  Google Scholar 

  • Campbell KW, Bozorgnia Y (2008) NGA ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5%-damped linear elastic response spectra at periods ranging from 0.1 s to 10.0 s. Earthq Spectra 24(1): 139–171

    Article  Google Scholar 

  • Cauzzi C, Faccioli E (2008) Broadband (0.05 to 20 s) prediction of displacement response based on worldwide digital records. J Seismol 12: 453–475

    Article  Google Scholar 

  • Chiou BS-J, Youngs RR (2008) An NGA model for the average horizontal component of peak ground motion and response spectra. Earthq Spectra 24(1): 173–215

    Article  Google Scholar 

  • Chiou B, Darragh R, Gregor N, Silva W (2008) NGA project strong-motion database. Earthq Spectra 24(1): 23–44

    Article  Google Scholar 

  • Cotton F, Pousse G, Bonilla F, Scherbaum F (2008) On the discrepancy of recent European ground-motion observations and predictions from empirical models: Analysis of KiK-net accelerometric data and point-sources stochastic simulations. Bull Seismol Soc Am 98(5): 2244–2261

    Article  Google Scholar 

  • Danciu L, Tselentis G-A (2007) Engineering ground-motion parameters attenuation relationships for Greece. Bull Seismol Soc Am 97(1B): 162–183

    Article  Google Scholar 

  • Douglas J, Bungum H, Scherbaum F (2006) Ground-motion prediction equations for southern Spain and southern Norway obtained using the composite hybrid model perspective. J Earthq Eng 10(1): 33–72

    Google Scholar 

  • Douglas J, Boore DM (2011) High-frequency filtering of strong-motion records. Bull Earthquake Eng 9(2): 395–409

    Article  Google Scholar 

  • Elnashai AS, Papazoglu AJ (1997) Procedure and spectra for analysis of RC structures subjected to vertical earthquake loads. J Earthq Eng 1(1): 121–155

    Google Scholar 

  • García D, Singh SK, Herráiz M, Ordaz M, Pacheco JF (2005) Inslab earthquakes of Central Mexico: peak ground-motion parameters and response spectra. Bull Seismol Soc Am 95(6): 2272–2282

    Article  Google Scholar 

  • Gülerce Z, Abrahamson NA (2011) Site-specific spectra for vertical ground motion. Earthq Spectra (in press)

  • Idriss IM (2007) Empirical models for estimating the average horizontal values of pseudo-absolute spectral accelerations generated by crustal earthquakes, vol 1: sites with V s30 = 450 to 900 m/s. Interim report issues for USGS review, PEER Center, University of California at Berkeley, 19 January

  • Idriss IM (2008) An NGA empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes. Earthq Spectra 24(1): 217–242

    Article  Google Scholar 

  • Joyner WB, Boore DM (1993) Methods for regression analysis of strong-motion data. Bull Seismol Soc Am 83: 469–487

    Google Scholar 

  • Kalkan E, Gülkan P (2004) Site-dependent spectra derived from ground motion records in Turkey. Earthq Spectra 20(4): 111–1138

    Article  Google Scholar 

  • Kanno T, Narita A, Morikawa N, Fujiwara H, Fukushima Y (2006) A new attenuation relation for strong ground motion in Japan based on recorded data. Bull Seismol Soc Am 96(3): 879–897

    Article  Google Scholar 

  • Lin P-S, Lee C-T (2008) Ground-motion attenuation relationships for subduction-zone earthquakes in northeastern Taiwan. Bull Seismol Soc Am 98(1): 220–240

    Article  Google Scholar 

  • Massa M, Morasca P, Moratto L, Marzorati S, Costa G, Spallarossa D (2008) Empirical ground-motion equations for northern Italy using weak- and strong-motion amplitudes, frequency content, and duration parameters. Bull Seismol Soc Am 98(3): 1319–1342

    Article  Google Scholar 

  • McGuire RK (1977) Seismic design spectra and mapping procedures using hazard analysis based directly on oscillator response. Earthq Eng Struct Eng 5: 211–234

    Article  Google Scholar 

  • McVerry G, Zhao J, Abrahamson N, Somerville P (2006) New Zealand acceleration response spectrum attenuation relations for crustal and subduction zone earthquakes. Bull New Zealand Soc Earthq Eng 39(1): 1–58

    Google Scholar 

  • Özbey C, Sari A, Manuel L, Erdik M, Fahjan Y (2004) An empirical attenuation relationship for northwestern Turkey ground motion using a random effects approach. Soil Dyn Earthq Eng 24: 115–125

    Article  Google Scholar 

  • Pankow KL, Pechmann JC (2004) The SEA99 ground-motion predictive relations for extensional tectonic regimes: revisions and a new peak ground velocity relation. Bull Seismol Soc Am 94(1): 341–348

    Article  Google Scholar 

  • Sabetta F, Pugliese A (1996) Estimation of response spectra and simulation of nonstationary earthquake ground motions. Bull Seismol Soc Am 86(2): 337–352

    Google Scholar 

  • Tavakoli B, Pezeshk S (2005) Empirical-stochastic ground-motion prediction for Eastern North America. Bull Seismol Soc Am 95(6): 2283–2296

    Article  Google Scholar 

  • Toro GR, Abrahamson NA, Schneider JF (1997) Models of strong ground motions from earthquakes in Central and Eastern North America: best estimates and uncertainties. Seismol Res Lett 68(1): 41–57

    Article  Google Scholar 

  • USNRC (2008) Interim staff guidance on seismic issues associated with high-frequency ground motions in design certification and combined license applications. ISG-01, US Nuclear Regulatory Commission, Washington, DC

  • Youngs RR, Chiou S-J, Silva WJ, Humphreys JR (1997) Ground motion attenuation relationships for subduction zone earthquakes. Seismol Res Lett 68(1): 58–73

    Article  Google Scholar 

  • Zhao JX, Zhang J, Asano A, Ohno Y, Oouchi T, Takahashi T, Ogawa H, Irikura K, Thio HK, Somerville PG, Fukushima Y, Fukushima Y (2006) Attenuation relations of strong ground motion in Japan using site classifications based on predominant period. Bull Seismol Soc Am 96(3): 898–913

    Article  Google Scholar 

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Correspondence to Julian J. Bommer.

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Bommer, J.J., Akkar, S. & Drouet, S. Extending ground-motion prediction equations for spectral accelerations to higher response frequencies. Bull Earthquake Eng 10, 379–399 (2012). https://doi.org/10.1007/s10518-011-9304-0

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  • DOI: https://doi.org/10.1007/s10518-011-9304-0

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