Chiou and Youngs PEER-NGA Empirical Ground Motion Model for ...

Chiou and Youngs PEER-NGA Empirical Ground Motion Model for ... Chiou and Youngs PEER-NGA Empirical Ground Motion Model for ...

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PSA (g) 1.E+00 1.E-01 1.E-02 1.E-03 1.E-04 1.E-05 Brune Source 4 5 6 7 8 9 M 100 Hz 33 Hz 10 Hz 3.3 Hz 1 Hz 0.33 Hz 0.1 Hz Atkinson and Silva Source C&Y2006 Page 15 1.E+00 1.E-01 1.E-02 1.E-03 1.E-04 1.E-05 4 5 6 7 8 9 Figure 7: Response spectra at a distance of 30 km computed using the stochastic ground motion model and two source spectra, a Brune (1970, 1971) source with a 70 bar stress parameter and the Atkinson and Silva (1997) source model for California earthquakes. Western US crustal amplification (e.g. Boore and Joyner, 1997) is applied in computing the spectra. PSA (g) 10^-6 10^-5 10^-4 10^-3 10^-2 10^-1 10^0 PSA (g) Mag 0.01 sec 0.1 sec 0.3 sec 1 sec 3 sec 10 sec 4 5 6 7 8 Figure 8: Magnitude scaling predicted by the seismic source model of Atkinson and Silva (2000) (points) and the result of fitting Equation (2) to the data (lines). M 100 Hz 33 Hz 10 Hz 3.3 Hz 1 Hz 0.33 Hz 0.1 Hz

Figure 9: Peak acceleration data from the PEER-NGA database and from TriNet (Appendix D) for the distance range 30 ≤ RRUP ≤ 50 and the velocity range 300 ≤ VS30 ≤ 400 fit by alternative function forms of magnitude scaling. Other Source Effects: Most recent empirical ground motion models include a scaling term that reflects alternative rupture styles. Typically it has been found that reverse faulting earthquakes produce larger high frequency motions than strike-slip earthquakes. In some of these empirical models the difference between strike-slip and reverse earthquakes diminishes as the spectral period increases, with the motion from strike-slip earthquakes becoming larger for period motions (e.g. Abrahamson and Silva, 1997; Campbell and Bozorgnia, 2003; Ambraseys et al, 2005). Chiou et al. (2000) showed that when the geometric hanging wall effect was removed from ground motion residuals by using the RRMS distance measure, reverse-faulting earthquake still produced statistically significant higher motions than strikeslip earthquakes. Some empirical models have shown that normal-faulting/extension regime earthquakes produce lower ground motions than strike-slip earthquakes (e.g. Spudich et al., 1999, Ambraseys et al. 2005) while others have included normal-faulting and strike-slip together in a single class (e.g. Abrahamson and Silva, 1997; Silva et al., 1997; Campbell and Bozorgnia, 2003). The potential effect of style of faulting will be examined by including dummy variables FRV and FNM in the regression model. These parameters take on a value of 1.0 for earthquake ruptures with rake angles, λ, in the appropriate range and 0 otherwise. Other source parameters that will be examined include depth to top of rupture ZTOR, aspect ratio, AR, and static stress drop, ΔσS. C&Y2006 Page 16

Figure 9: Peak acceleration data from the <strong>PEER</strong>-<strong>NGA</strong> database <strong>and</strong> from TriNet (Appendix D) <strong>for</strong><br />

the distance range 30 ≤ RRUP ≤ 50 <strong>and</strong> the velocity range 300 ≤ VS30 ≤ 400 fit by alternative function<br />

<strong>for</strong>ms of magnitude scaling.<br />

Other Source Effects: Most recent empirical ground motion models include a scaling term<br />

that reflects alternative rupture styles. Typically it has been found that reverse faulting<br />

earthquakes produce larger high frequency motions than strike-slip earthquakes. In some of<br />

these empirical models the difference between strike-slip <strong>and</strong> reverse earthquakes diminishes<br />

as the spectral period increases, with the motion from strike-slip earthquakes becoming larger<br />

<strong>for</strong> period motions (e.g. Abrahamson <strong>and</strong> Silva, 1997; Campbell <strong>and</strong> Bozorgnia, 2003;<br />

Ambraseys et al, 2005). <strong>Chiou</strong> et al. (2000) showed that when the geometric hanging wall<br />

effect was removed from ground motion residuals by using the RRMS distance measure,<br />

reverse-faulting earthquake still produced statistically significant higher motions than strikeslip<br />

earthquakes. Some empirical models have shown that normal-faulting/extension regime<br />

earthquakes produce lower ground motions than strike-slip earthquakes (e.g. Spudich et al.,<br />

1999, Ambraseys et al. 2005) while others have included normal-faulting <strong>and</strong> strike-slip<br />

together in a single class (e.g. Abrahamson <strong>and</strong> Silva, 1997; Silva et al., 1997; Campbell <strong>and</strong><br />

Bozorgnia, 2003). The potential effect of style of faulting will be examined by including<br />

dummy variables FRV <strong>and</strong> FNM in the regression model. These parameters take on a value of<br />

1.0 <strong>for</strong> earthquake ruptures with rake angles, λ, in the appropriate range <strong>and</strong> 0 otherwise.<br />

Other source parameters that will be examined include depth to top of rupture ZTOR, aspect<br />

ratio, AR, <strong>and</strong> static stress drop, ΔσS.<br />

C&Y2006 Page 16

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