Kappa ( ) Scaling of Ground-Motion Prediction Equations Using an Inverse Random Vibration Theory Approach

Research Article| November 19, 2013 Kappa (κ) Scaling of Ground‐Motion Prediction Equations Using an Inverse Random Vibration Theory Approach Linda Al Atik; Linda Al Atik aLinda Alatik Consulting, San Francisco, California 94110linda.alatik@gmail.com Search for other works by this author on: GSW Google Scholar Albert Kottke; Albert Kottke bPacific Earthquake Engineering Research Center, University of California, Berkeley, California 94720 Search for other works by this author on: GSW Google Scholar Norman Abrahamson; Norman Abrahamson cPacific Gas & Electric Company, 245 Market Street, San Francisco, California 94105 Search for other works by this author on: GSW Google Scholar Justin Hollenback Justin Hollenback dUniversity of California, Berkeley, California 94720 Search for other works by this author on: GSW Google Scholar Author and Article Information Linda Al Atik aLinda Alatik Consulting, San Francisco, California 94110linda.alatik@gmail.com Albert Kottke bPacific Earthquake Engineering Research Center, University of California, Berkeley, California 94720 Norman Abrahamson cPacific Gas & Electric Company, 245 Market Street, San Francisco, California 94105 Justin Hollenback dUniversity of California, Berkeley, California 94720 Publisher: Seismological Society of America First Online: 14 Jul 2017 Online ISSN: 1943-3573 Print ISSN: 0037-1106 Bulletin of the Seismological Society of America (2014) 104 (1): 336–346. https://doi.org/10.1785/0120120200 Article history First Online: 14 Jul 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn Email Permissions Search Site Citation Linda Al Atik, Albert Kottke, Norman Abrahamson, Justin Hollenback; Kappa (κ) Scaling of Ground‐Motion Prediction Equations Using an Inverse Random Vibration Theory Approach. Bulletin of the Seismological Society of America 2013;; 104 (1): 336–346. doi: https://doi.org/10.1785/0120120200 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyBulletin of the Seismological Society of America Search Advanced Search Abstract A method for deriving kappa (κ) scaling factors that can be applied to ground‐motion prediction equations (GMPEs) to account for site‐specific κ estimates is described. This method relies on inverse random vibration theory as implemented in the computer program Strata (Kottke and Rathje, 2008a,b) to derive a Fourier amplitude spectrum (FAS) that is consistent with the response spectrum from the GMPE. The GMPE host κ values are estimated by fitting the high‐frequency FAS with the Anderson and Hough (1984),κ scaling function. The derived FAS are then scaled from their host κ value to a target κ. Random vibration theory (Cartwright and Longuet‐Higgins, 1956) is then used to convert the κ scaled FAS to response spectra, and κ scaling factors are computed by the ratio of the κ scaled response spectra to the GMPE response spectra. In contrast to the commonly used hybrid empirical method (Campbell, 2003), the proposed approach does not require a full seismological model for the stochastic parameters (stress drop, whole‐path attenuation, etc.) of the host and target regions and does not assume that response spectral shape of GMPE is consistent with that of the representative point‐source stochastic model for the host region, which can lead to inappropriate response spectral scaling factors. Finally, the effects of the well‐known trade‐off between κ and stress drop scaling are reduced. The method, when applied within the frequency limitations discussed in this paper, can be used to incorporate κ scaling into GMPEs. You do not have access to this content, please speak to your institutional administrator if you feel you should have access.