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Fourier spectral- and duration models for the generation of response spectra adjustable to different source-, propagation-, and site conditions

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Abstract

One of the major challenges related with the current practice in seismic hazard studies is the adjustment of empirical ground motion prediction equations (GMPEs) to different seismological environments. We believe that the key to accommodating differences in regional seismological attributes of a ground motion model lies in the Fourier spectrum. In the present study, we attempt to explore a new approach for the development of response spectral GMPEs, which is fully consistent with linear system theory when it comes to adjustment issues. This approach consists of developing empirical prediction equations for Fourier spectra and for a particular duration estimate of ground motion which is tuned to optimize the fit between response spectra obtained through the random vibration theory framework and the classical way. The presented analysis for the development of GMPEs is performed on the recently compiled reference database for seismic ground motion in Europe (RESORCE-2012). Although, the main motivation for the presented approach is the adjustability and the use of the corresponding model to generate data driven host-to-target conversions, even as a standalone response spectral model it compares reasonably well with the GMPEs of Ambraseys et al. (Bull Earthq Eng 3:1–53, 2005), Akkar and Bommer (Seismol Res Lett 81(2):195–206, 2010) and Akkar and Cagnan (Bull Seismol Soc Am 100(6):2978–2995, 2010).

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Acknowledgments

Sanjay Singh Bora would like to thank Helmholtz graduate research school GeoSim (http://www.geo-x.net/geosim) for providing a scholarship. Present analysis of developing GMPEs is based on a dataset taken from the RESORCE database which is compiled under the framework of SeIsmic Ground Motion Assessment (SIGMA) project. We also thank two anonymous reviewers for their suggestions and comments which were helpful in improving the manuscript and bringing it to the present form.

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Authors and Affiliations

  1. Institute of Earth and Environmental Science, University of Potsdam, Potsdam, Germany

    Sanjay Singh Bora, Frank Scherbaum & Nicolas Kuehn

  2. Department of Civil and Environmental Engineering, Imperial College London, London, UK

    Peter Stafford

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  1. Sanjay Singh Bora
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  2. Frank Scherbaum
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  3. Nicolas Kuehn
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  4. Peter Stafford
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Correspondence to Sanjay Singh Bora.

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Bora, S.S., Scherbaum, F., Kuehn, N. et al. Fourier spectral- and duration models for the generation of response spectra adjustable to different source-, propagation-, and site conditions. Bull Earthquake Eng 12, 467–493 (2014). https://doi.org/10.1007/s10518-013-9482-z

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  • DOI: https://doi.org/10.1007/s10518-013-9482-z

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