Abstract
Relative average-spectral-acceleration (ASA 40), a recently developed intensity measure, is defined as the average spectral pseudo-acceleration on the probable interval of evolution of the fundamental frequency of a structure. This article presents two ground motion prediction equations (GMPEs) appropriate for the prediction of ASA 40, using a pan-European strong motion database. Taking advantage of the strong correlation between the new intensity measure ASA 40 and the spectral pseudo-acceleration (SA), existing GMPEs predicting SA can be adapted to predict ASA 40. The first GMPE used in this study is the modified version of a new generation ground motion model, ASB13. In order to decrease the high aleatory uncertainty (sigma) that accompanies predictions when using this modified model, a new model is developed for the prediction of ASA 40. Its range of applicability is for magnitudes Mw from 5.5 to 7.6 and distances out to 200 km, it includes site amplification and it is applicable for a range of periods between 0.01 and 4 s. The proposed model decreases the aleatory uncertainty by almost 15 % with respect to the uncertainty of the modified ground motion model.
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Abbreviations
- ASA r :
-
Relative average spectral pseudo-acceleration
- ASA 40 :
-
Relative average spectral pseudo-acceleration with 40 % frequency drop
- SA :
-
Spectral acceleration
- Mw :
-
Moment magnitude
- R:
-
Distance
- Rrup :
-
Rupture distance
- Rhypo :
-
Hypocentral distance
- RJB :
-
Distance Joyner and Boore
- Repi :
-
Epicentral distance
- Vs30 :
-
Average shear wave velocity in the top 30 m of soil
- SoF:
-
Style of faulting
- PGA:
-
Peak ground acceleration
- PSV:
-
Peak ground velocity
- PSD:
-
Peak ground displacement
- CAV:
-
Cumulative average velocity
- SDOF:
-
Single degree of freedom system
- xf1 :
-
Factor accounting for the drop of the fundamental frequency
- r:
-
Drop (as a percentage) of the structure’s fundamental frequency
- ξ:
-
The damping value
- σ:
-
Total variability
- ϕ:
-
Within event variability
- τ:
-
Between events variability
- deltaBe :
-
Between events residuals
- deltaWes :
-
Within event residuals
- e:
-
Event
- s:
-
Station
References
Abrahamson NA, Youngs RR (1992) A stable algorithm for regression analyses using the random effects model. Bull Seismol Soc Am 82:505–510
Abrahamson NA, Silva W (2008) Summary of the Abrahamson and Silva NGA ground-motion relations. Earthq Spectra 24:67–97
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 81:195–206
Akkar S, Sandıkkaya M, Şenyurt M, Azari Sisi A, Ay B, Traversa P, Douglas J, Cotton F, Luzi L, Hernandez B, Godey S (2014a) Reference database for seismic ground-motion in Europe (RESORCE). Bull Earthq Eng 12(1):311–339
Akkar S, Sandikkaya MA, Bommer JJ (2014b) Empirical ground-motion models for point- and extended-source crustal earthquake scenarios in Europe and the Middle East. Bull Earthq Eng 12:359–387
Akkar S, Sandikkaya MA, Bommer JJ (2014c) Erratum to: Empirical ground-motion models for point- and extended-source crustal earthquake scenarios in Europe and the Middle East. Bull Earthq Eng. doi:10.1007/s10518-013-9508-6
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 81:783–793
Bindi D, Luzi L, Massa M, Pacor F (2010) Horizontal and vertical ground motion prediction equations derived from the Italian accelerometric archive (ITACA). Bull Earthq Eng 8:1209–1230
Bommer JJ, Akkar S (2012) Consistent source-to-site distance metrics in ground-motion prediction equations and seismic source models for PSHA. Earthq Spectra 28(1):1–15
Bommer JJ, Stafford PJ, Alarcon JE, Akkar S (2007) The influence of magnitude range on empirical ground-motion prediction. Bull Seismol Soc Am 97(6):2152–2217
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 and 10.0 s. Earthq Spectra 24:99–138
Comité Européen de Normalisation (CEN) (2004) Eurocode 8, design of structures for earthquake resistance—part 1: general rules, seismic actions and rules for buildings. European Standard NF EN 1998-1, Brussels
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
De Biasio M, Grange S, Dufour F, Allain F, Petre-Lazar I (2014). A simple and efficient intensity measure accounting for non-linear structural behavior. Earthq Spectra 30(4):1403–1426
Derras B, Bart PY, Cotton F (2013) Towards fully data driven ground-motion prediction models for Europe. Bull Earthq Eng 12(1):495–516
Douglas J, Halldórsson B (2010) On the use of aftershocks when deriving ground-motion prediction equations. In: 9th US National and 10th canadian conference on earthquake engineering (9USN/10CCEE), Paper no. 220
Douglas J, Akkar S, Ameri G, Bard P-Y, Bindi D, Bommer JJ, Bora SS, Cotton F, Derras B, Hermkes M, Kuehn NM, Luzi L, Massa M, Pacor F, Riggelsen C, Sandikkaya MA, Scherbaum F, Stafford PJ, Traversa P et al (2014) Comparisons among the five ground-motion models developed using RESORCE for the prediction of response spectral accelerations due to earthquakes in Europe and the Middle East. Bull Earthq Eng 12:341–358 (ISSN: 1570-761X)
EPRI (1988) A criterion for determining exceedance of the operating basis earthquake. EPRI NP-5930. Electric Power Research Institute, USA
Joyner WB, Boore DM (1981) Peak horizontal acceleration and velocity from strong-motion records including records from the 1979 Imperial Valley, California, earthquake. Bull Seismol Soc Am 71:2011–2038
Laurandeau A, Cotton F, Ktenidou O-J, Bonilla L-F, Hollender F (2013) Rock and stiff-soil site amplification: dependency on Vs30 and Kappa (κ0). Bull Seismol Soc Am 103(6):3131–3148
Sandikkaya MA, Akkar S, Bard PY (2013) A nonlinear site amplification model for the next pan-European ground-motion prediction equations. Bull Seismol Soc Am 103(1):19–32
Strasser FO, Abrahamson NA, Bommer JJ (2009) Sigma: issues, insights, and challenges. Seismol Res Lett 80:40–56
Yenier E, Atkinson GM (2014) Equivalent point-source modeling of moderate to large magnitude earthquakes and associated ground-motion saturation effects. Bull Seismol Soc Am 104:1458–1478
Yenier E, Sandıkkaya MA, Akkar S (2010) Report on the fundamental features of the extended strong motion databank prepared for the SHARE project, pp. 44. Deliverable 4.1 of seventh framework programme project seismic hazard harmonization in Europe (SHARE), 34 pages, Ankara
Acknowledgments
The work presented in this article has been developed within the French SIGMA project (seismic ground motion assessment, http://projet-sigma.com). The electronic supplements of Akkar et al. (2014b, c) were used for the ASB13 model. Special thanks to R. Kamai for her regression code and to M. De Biasio for the helpful discussion.
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Koufoudi, E., Ktenidou, OJ., Cotton, F. et al. Empirical ground-motion models adapted to the intensity measure ASA 40 . Bull Earthquake Eng 13, 3625–3643 (2015). https://doi.org/10.1007/s10518-015-9797-z
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DOI: https://doi.org/10.1007/s10518-015-9797-z