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

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Probability .<br />

0.18<br />

0.16<br />

0.14<br />

0.12<br />

0.1<br />

0.08<br />

0.06<br />

0.04<br />

0.02<br />

0<br />

Data<br />

<strong>Model</strong><br />

All Slip Types<br />

0 -0.1 0.1-0.2 0.2-0.3 0.3-0.4 0.4-0.5 0.5-0.6 0.6-0.7 0.7-0.8 0.8-0.9 0.9-1.0<br />

Hypocentral X Ratio<br />

Figure B-4: Distributions <strong>for</strong> horizontal location of hypocenter in rupture plane derived<br />

from data <strong>for</strong> M ≤ 6.5 earthquakes presented in Mai et al. (2005) (“Data”) <strong>and</strong> smoothed<br />

<strong>for</strong> use in simulations (“<strong>Model</strong>”).<br />

For each simulated rupture plane, the distance to all sites was computed in terms of RJB,<br />

RSEIS (assuming a minimum seismogenic depth of 3 km), RRMS distance, <strong>and</strong> closest<br />

distance to rupture, RRUP. The depth to top of rupture, ZTOR <strong>and</strong> the source-site angle<br />

were also computed.<br />

The values selected <strong>for</strong> use were the median values <strong>for</strong> each site from the 101<br />

simulations. The median was chosen because most of the values enter regressions as<br />

logs.<br />

Figure 3 in the main text shows the ratio of the estimated values of Joyner-Boore distance<br />

to the epicentral distance <strong>and</strong> the ratio of the estimated rupture distance to hypocentral<br />

distance <strong>for</strong> the 702 sites associated with the 110 earthquakes analyzed.<br />

Ken Campbell provided the distances he obtained <strong>for</strong> the 1992 Big Bear M 6.46<br />

earthquake based on a rupture model he developed <strong>for</strong> that event. Figure B-5 compares<br />

his estimates of RJB <strong>and</strong> RRUP to those obtained from this exercise. The values are close,<br />

indicating that the process provides reasonable estimates of rupture distance measures<br />

C&Y2006, Appendix B B-5

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