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Empirical ground-motion models adapted to the intensity measure ASA 40

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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

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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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Authors and Affiliations

  1. 3SR, Univ. Grenoble Alpes, 38000, Grenoble, France

    E. Koufoudi, F. Dufour & S. Grange

  2. ISTerre, CNRS, Universite Grenoble 1, 38000, Grenoble, France

    O.-J. Ktenidou

  3. GFZ Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences, Potsdam, Germany

    F. Cotton

Authors
  1. E. Koufoudi
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  2. O.-J. Ktenidou
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  3. F. Cotton
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  4. F. Dufour
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  5. S. Grange
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Correspondence to E. Koufoudi.

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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

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