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

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Table 6: Example Calculations<br />

Period<br />

(sec)<br />

M RRUP VS30 RJB Width<br />

(km)<br />

FRV FNM ZTOR δ<br />

SA1130<br />

(g)<br />

SA<br />

(g)<br />

0.01 7 1 760 0 21.21 1 0 0 45 0.639258 0.749553<br />

0.01 7 3 760 0 21.21 1 0 0 45 0.654854 0.767582<br />

0.01 7 5 760 0 21.21 1 0 0 45 0.572953 0.672824<br />

0.01 7 10 760 0 21.21 1 0 0 45 0.396471 0.467862<br />

0.01 7 15 760 6.21 21.21 1 0 0 45 0.238586 0.283285<br />

0.01 7 30 760 25.98 21.21 1 0 0 45 0.098676 0.118171<br />

0.01 7 50 760 47.70 21.21 1 0 0 45 0.054655 0.065717<br />

0.01 7 100 760 98.87 21.21 1 0 0 45 0.023852 0.028781<br />

0.01 7 200 760 199.44 21.21 1 0 0 45 0.007460 0.009022<br />

0.2 7 1 760 0 21.21 1 0 0 45 1.669724 1.944378<br />

0.2 7 3 760 0 21.21 1 0 0 45 1.705223 1.984528<br />

0.2 7 5 760 0 21.21 1 0 0 45 1.473110 1.721495<br />

0.2 7 10 760 0 21.21 1 0 0 45 0.989930 1.169403<br />

0.2 7 15 760 6.21 21.21 1 0 0 45 0.574944 0.688389<br />

0.2 7 30 760 25.98 21.21 1 0 0 45 0.225632 0.275190<br />

0.2 7 50 760 47.70 21.21 1 0 0 45 0.121882 0.149907<br />

0.2 7 100 760 98.87 21.21 1 0 0 45 0.052344 0.064845<br />

0.2 7 200 760 199.44 21.21 1 0 0 45 0.016533 0.020572<br />

1 7 1 760 0 21.21 1 0 0 45 0.388935 0.530966<br />

1 7 3 760 0 21.21 1 0 0 45 0.345553 0.471825<br />

1 7 5 760 0 21.21 1 0 0 45 0.286310 0.391039<br />

1 7 10 760 0 21.21 1 0 0 45 0.185606 0.253648<br />

1 7 15 760 6.21 21.21 1 0 0 45 0.117929 0.161248<br />

1 7 30 760 25.98 21.21 1 0 0 45 0.052472 0.071801<br />

1 7 50 760 47.70 21.21 1 0 0 45 0.031018 0.042458<br />

1 7 100 760 98.87 21.21 1 0 0 45 0.017119 0.023439<br />

1 7 200 760 199.44 21.21 1 0 0 45 0.009411 0.012887<br />

3 7 1 760 0 21.21 1 0 0 45 0.078509 0.112963<br />

3 7 3 760 0 21.21 1 0 0 45 0.063312 0.091096<br />

3 7 5 760 0 21.21 1 0 0 45 0.051419 0.073984<br />

3 7 10 760 0 21.21 1 0 0 45 0.033124 0.047661<br />

3 7 15 760 6.21 21.21 1 0 0 45 0.022944 0.033013<br />

3 7 30 760 25.98 21.21 1 0 0 45 0.011322 0.016291<br />

3 7 50 760 47.70 21.21 1 0 0 45 0.006960 0.010015<br />

3 7 100 760 98.87 21.21 1 0 0 45 0.004123 0.005932<br />

3 7 200 760 199.44 21.21 1 0 0 45 0.002604 0.003747<br />

MODEL APPLICABILITY<br />

The model developed in this study is considered to be applicable <strong>for</strong> estimation pseudo<br />

spectral accelerations (5% damping) <strong>for</strong> earthquakes in active tectonic regions in which the<br />

following conditions apply:<br />

4 ≤ M ≤ 8.5 <strong>for</strong> strike-slip earthquakes<br />

4 ≤ M ≤ 8.0 <strong>for</strong> reverse <strong>and</strong> normal faulting earthquakes<br />

0 ≤ RRUP ≤ 200 km<br />

150 ≤ VS30 ≤ 1500.<br />

The model was developed using the anelastic attenuation parameter γ constrained by data<br />

from Cali<strong>for</strong>nia earthquakes. For application in other regions where distances greater than<br />

about 50 km are a major contributor to the hazard, the adjustments to the γ parameter may be<br />

warranted <strong>and</strong> can be per<strong>for</strong>med using the hybrid approach developed by Campbell (2003).<br />

C&Y2006 Page 66

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