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 ...
Table 6: Example Calculations Period (sec) M RRUP VS30 RJB Width (km) FRV FNM ZTOR δ SA1130 (g) SA (g) 0.2 5 15 760 13.21 2.98 1 0 5 45 0.125488 0.154291 0.2 5 30 760 29.15 2.98 1 0 5 45 0.043890 0.054425 0.2 5 50 760 49.49 2.98 1 0 5 45 0.019286 0.023989 0.2 5 100 760 99.75 2.98 1 0 5 45 0.005826 0.007261 0.2 5 200 760 199.87 2.98 1 0 5 45 0.001107 0.001380 1 5 5 760 0 2.98 1 0 5 45 0.043114 0.059003 1 5 10 760 7.03 2.98 1 0 5 45 0.020773 0.028440 1 5 15 760 13.21 2.98 1 0 5 45 0.012366 0.016933 1 5 30 760 29.15 2.98 1 0 5 45 0.004722 0.006467 1 5 50 760 49.49 2.98 1 0 5 45 0.002411 0.003302 1 5 100 760 99.75 2.98 1 0 5 45 0.001101 0.001508 1 5 200 760 199.87 2.98 1 0 5 45 0.000492 0.000674 3 5 5 760 0 2.98 1 0 5 45 0.003811 0.005484 3 5 10 760 7.03 2.98 1 0 5 45 0.001867 0.002686 3 5 15 760 13.21 2.98 1 0 5 45 0.001121 0.001613 3 5 30 760 29.15 2.98 1 0 5 45 0.000439 0.000632 3 5 50 760 49.49 2.98 1 0 5 45 0.000233 0.000335 3 5 100 760 99.75 2.98 1 0 5 45 0.000118 0.000169 3 5 200 760 199.87 2.98 1 0 5 45 0.000065 0.000093 M 7 Strike Slip 0.01 7 1 760 1 15 0 0 0 90 0.463402 0.545734 0.01 7 3 760 3 15 0 0 0 90 0.383809 0.453108 0.01 7 5 760 5 15 0 0 0 90 0.322935 0.382068 0.01 7 10 760 10 15 0 0 0 90 0.222043 0.263855 0.01 7 15 760 15 15 0 0 0 90 0.162970 0.194290 0.01 7 30 760 30 15 0 0 0 90 0.083725 0.100392 0.01 7 50 760 50 15 0 0 0 90 0.048374 0.058203 0.01 7 100 760 100 15 0 0 0 90 0.021465 0.025910 0.01 7 200 760 200 15 0 0 0 90 0.006741 0.008153 0.2 7 1 760 1 15 0 0 0 90 1.191088 1.400097 0.2 7 3 760 3 15 0 0 0 90 0.968443 1.144679 0.2 7 5 760 5 15 0 0 0 90 0.802274 0.952864 0.2 7 10 760 10 15 0 0 0 90 0.535453 0.642152 0.2 7 15 760 15 15 0 0 0 90 0.384799 0.464770 0.2 7 30 760 30 15 0 0 0 90 0.190554 0.233014 0.2 7 50 760 50 15 0 0 0 90 0.107702 0.132645 0.2 7 100 760 100 15 0 0 0 90 0.047088 0.058369 0.2 7 200 760 200 15 0 0 0 90 0.014938 0.018591 1 7 1 760 1 15 0 0 0 90 0.346583 0.473229 1 7 3 760 3 15 0 0 0 90 0.273912 0.374131 1 7 5 760 5 15 0 0 0 90 0.222119 0.303475 1 7 10 760 10 15 0 0 0 90 0.143489 0.196153 1 7 15 760 15 15 0 0 0 90 0.101703 0.139083 1 7 30 760 30 15 0 0 0 90 0.050992 0.069777 1 7 50 760 50 15 0 0 0 90 0.030852 0.042231 1 7 100 760 100 15 0 0 0 90 0.017184 0.023528 1 7 200 760 200 15 0 0 0 90 0.009468 0.012965 3 7 1 760 1 15 0 0 0 90 0.084565 0.121676 3 7 3 760 3 15 0 0 0 90 0.066542 0.095744 3 7 5 760 5 15 0 0 0 90 0.053799 0.077408 3 7 10 760 10 15 0 0 0 90 0.034632 0.049830 3 7 15 760 15 15 0 0 0 90 0.024545 0.035316 3 7 30 760 30 15 0 0 0 90 0.012419 0.017870 3 7 50 760 50 15 0 0 0 90 0.007672 0.011039 3 7 100 760 100 15 0 0 0 90 0.004553 0.006551 3 7 200 760 200 15 0 0 0 90 0.002877 0.004140 M 7 Reverse C&Y2006 Page 65
Table 6: Example Calculations Period (sec) M RRUP VS30 RJB Width (km) FRV FNM ZTOR δ SA1130 (g) SA (g) 0.01 7 1 760 0 21.21 1 0 0 45 0.639258 0.749553 0.01 7 3 760 0 21.21 1 0 0 45 0.654854 0.767582 0.01 7 5 760 0 21.21 1 0 0 45 0.572953 0.672824 0.01 7 10 760 0 21.21 1 0 0 45 0.396471 0.467862 0.01 7 15 760 6.21 21.21 1 0 0 45 0.238586 0.283285 0.01 7 30 760 25.98 21.21 1 0 0 45 0.098676 0.118171 0.01 7 50 760 47.70 21.21 1 0 0 45 0.054655 0.065717 0.01 7 100 760 98.87 21.21 1 0 0 45 0.023852 0.028781 0.01 7 200 760 199.44 21.21 1 0 0 45 0.007460 0.009022 0.2 7 1 760 0 21.21 1 0 0 45 1.669724 1.944378 0.2 7 3 760 0 21.21 1 0 0 45 1.705223 1.984528 0.2 7 5 760 0 21.21 1 0 0 45 1.473110 1.721495 0.2 7 10 760 0 21.21 1 0 0 45 0.989930 1.169403 0.2 7 15 760 6.21 21.21 1 0 0 45 0.574944 0.688389 0.2 7 30 760 25.98 21.21 1 0 0 45 0.225632 0.275190 0.2 7 50 760 47.70 21.21 1 0 0 45 0.121882 0.149907 0.2 7 100 760 98.87 21.21 1 0 0 45 0.052344 0.064845 0.2 7 200 760 199.44 21.21 1 0 0 45 0.016533 0.020572 1 7 1 760 0 21.21 1 0 0 45 0.388935 0.530966 1 7 3 760 0 21.21 1 0 0 45 0.345553 0.471825 1 7 5 760 0 21.21 1 0 0 45 0.286310 0.391039 1 7 10 760 0 21.21 1 0 0 45 0.185606 0.253648 1 7 15 760 6.21 21.21 1 0 0 45 0.117929 0.161248 1 7 30 760 25.98 21.21 1 0 0 45 0.052472 0.071801 1 7 50 760 47.70 21.21 1 0 0 45 0.031018 0.042458 1 7 100 760 98.87 21.21 1 0 0 45 0.017119 0.023439 1 7 200 760 199.44 21.21 1 0 0 45 0.009411 0.012887 3 7 1 760 0 21.21 1 0 0 45 0.078509 0.112963 3 7 3 760 0 21.21 1 0 0 45 0.063312 0.091096 3 7 5 760 0 21.21 1 0 0 45 0.051419 0.073984 3 7 10 760 0 21.21 1 0 0 45 0.033124 0.047661 3 7 15 760 6.21 21.21 1 0 0 45 0.022944 0.033013 3 7 30 760 25.98 21.21 1 0 0 45 0.011322 0.016291 3 7 50 760 47.70 21.21 1 0 0 45 0.006960 0.010015 3 7 100 760 98.87 21.21 1 0 0 45 0.004123 0.005932 3 7 200 760 199.44 21.21 1 0 0 45 0.002604 0.003747 MODEL APPLICABILITY The model developed in this study is considered to be applicable for estimation pseudo spectral accelerations (5% damping) for earthquakes in active tectonic regions in which the following conditions apply: 4 ≤ M ≤ 8.5 for strike-slip earthquakes 4 ≤ M ≤ 8.0 for reverse and normal faulting earthquakes 0 ≤ RRUP ≤ 200 km 150 ≤ VS30 ≤ 1500. The model was developed using the anelastic attenuation parameter γ constrained by data from California earthquakes. For application in other regions where distances greater than about 50 km are a major contributor to the hazard, the adjustments to the γ parameter may be warranted and can be performed using the hybrid approach developed by Campbell (2003). C&Y2006 Page 66
- Page 15 and 16: 1 ) ∝ C2 × M + ( C2 − C ) × l
- Page 17 and 18: Figure 9: Peak acceleration data fr
- Page 19 and 20: C4+C5M slowly and the value of the
- Page 21 and 22: allows the interpretation of the co
- Page 23 and 24: Figure 13: Coefficients resulting f
- Page 25 and 26: the top of rupture located at x = 0
- Page 27 and 28: Figure 18: Intra-event residuals fo
- Page 29 and 30: Figure 21: Variation of HW* with ma
- Page 31 and 32: The interpretation of the parameter
- Page 33 and 34: to the PEER-NGA pga data selected f
- Page 35 and 36: EFFECT OF DATA TRUNCATION The initi
- Page 37 and 38: term [ 1 Φ( y ( θ ) + τ ⋅ z ,
- Page 39 and 40: Table 4: Estimate of Anelastic Atte
- Page 41 and 42: data truncated at a maximum distanc
- Page 43 and 44: faulting earthquakes at long period
- Page 45 and 46: Slope -1.5 -1.0 -0.5 0.0 0.5 1.0 0.
- Page 47 and 48: C&Y2006 Page 46 Table 5: Coefficien
- Page 49 and 50: c1 of T0.010S c1 of T1.000S MODEL R
- Page 51 and 52: esid 1 0 -1 -2 resid resid 1 0 -1 -
- Page 53 and 54: esid resid resid 1 0 -1 -2 1 0 -1 -
- Page 55 and 56: esid 2 1 0 -1 -2 SCEC Version 2 0 2
- Page 57 and 58: Amplification w.r.t. Vs30 = 1130 m/
- Page 59 and 60: Sa(g) Sa(g) 10 1 0.1 0.01 10 1 0.1
- Page 61 and 62: Sa (g) Sa (g) 1 0.1 0.01 0.001 0.00
- Page 63 and 64: Sa (g) Sa (g) 1 0.1 0.01 0.001 1 0.
- Page 65: EXAMPLE CALCULATIONS FORTRAN routin
- Page 69 and 70: REFERENCES Abrahamson, N.A., and Si
- Page 71 and 72: Frankel, A., A. McGarr, J. Bicknell
- Page 73 and 74: Appendix A Recordings from PEER-NGA
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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 />
0.2 5 15 760 13.21 2.98 1 0 5 45 0.125488 0.154291<br />
0.2 5 30 760 29.15 2.98 1 0 5 45 0.043890 0.054425<br />
0.2 5 50 760 49.49 2.98 1 0 5 45 0.019286 0.023989<br />
0.2 5 100 760 99.75 2.98 1 0 5 45 0.005826 0.007261<br />
0.2 5 200 760 199.87 2.98 1 0 5 45 0.001107 0.001380<br />
1 5 5 760 0 2.98 1 0 5 45 0.043114 0.059003<br />
1 5 10 760 7.03 2.98 1 0 5 45 0.020773 0.028440<br />
1 5 15 760 13.21 2.98 1 0 5 45 0.012366 0.016933<br />
1 5 30 760 29.15 2.98 1 0 5 45 0.004722 0.006467<br />
1 5 50 760 49.49 2.98 1 0 5 45 0.002411 0.003302<br />
1 5 100 760 99.75 2.98 1 0 5 45 0.001101 0.001508<br />
1 5 200 760 199.87 2.98 1 0 5 45 0.000492 0.000674<br />
3 5 5 760 0 2.98 1 0 5 45 0.003811 0.005484<br />
3 5 10 760 7.03 2.98 1 0 5 45 0.001867 0.002686<br />
3 5 15 760 13.21 2.98 1 0 5 45 0.001121 0.001613<br />
3 5 30 760 29.15 2.98 1 0 5 45 0.000439 0.000632<br />
3 5 50 760 49.49 2.98 1 0 5 45 0.000233 0.000335<br />
3 5 100 760 99.75 2.98 1 0 5 45 0.000118 0.000169<br />
3 5 200 760 199.87 2.98 1 0 5 45 0.000065 0.000093<br />
M 7 Strike Slip<br />
0.01 7 1 760 1 15 0 0 0 90 0.463402 0.545734<br />
0.01 7 3 760 3 15 0 0 0 90 0.383809 0.453108<br />
0.01 7 5 760 5 15 0 0 0 90 0.322935 0.382068<br />
0.01 7 10 760 10 15 0 0 0 90 0.222043 0.263855<br />
0.01 7 15 760 15 15 0 0 0 90 0.162970 0.194290<br />
0.01 7 30 760 30 15 0 0 0 90 0.083725 0.100392<br />
0.01 7 50 760 50 15 0 0 0 90 0.048374 0.058203<br />
0.01 7 100 760 100 15 0 0 0 90 0.021465 0.025910<br />
0.01 7 200 760 200 15 0 0 0 90 0.006741 0.008153<br />
0.2 7 1 760 1 15 0 0 0 90 1.191088 1.400097<br />
0.2 7 3 760 3 15 0 0 0 90 0.968443 1.144679<br />
0.2 7 5 760 5 15 0 0 0 90 0.802274 0.952864<br />
0.2 7 10 760 10 15 0 0 0 90 0.535453 0.642152<br />
0.2 7 15 760 15 15 0 0 0 90 0.384799 0.464770<br />
0.2 7 30 760 30 15 0 0 0 90 0.190554 0.233014<br />
0.2 7 50 760 50 15 0 0 0 90 0.107702 0.132645<br />
0.2 7 100 760 100 15 0 0 0 90 0.047088 0.058369<br />
0.2 7 200 760 200 15 0 0 0 90 0.014938 0.018591<br />
1 7 1 760 1 15 0 0 0 90 0.346583 0.473229<br />
1 7 3 760 3 15 0 0 0 90 0.273912 0.374131<br />
1 7 5 760 5 15 0 0 0 90 0.222119 0.303475<br />
1 7 10 760 10 15 0 0 0 90 0.143489 0.196153<br />
1 7 15 760 15 15 0 0 0 90 0.101703 0.139083<br />
1 7 30 760 30 15 0 0 0 90 0.050992 0.069777<br />
1 7 50 760 50 15 0 0 0 90 0.030852 0.042231<br />
1 7 100 760 100 15 0 0 0 90 0.017184 0.023528<br />
1 7 200 760 200 15 0 0 0 90 0.009468 0.012965<br />
3 7 1 760 1 15 0 0 0 90 0.084565 0.121676<br />
3 7 3 760 3 15 0 0 0 90 0.066542 0.095744<br />
3 7 5 760 5 15 0 0 0 90 0.053799 0.077408<br />
3 7 10 760 10 15 0 0 0 90 0.034632 0.049830<br />
3 7 15 760 15 15 0 0 0 90 0.024545 0.035316<br />
3 7 30 760 30 15 0 0 0 90 0.012419 0.017870<br />
3 7 50 760 50 15 0 0 0 90 0.007672 0.011039<br />
3 7 100 760 100 15 0 0 0 90 0.004553 0.006551<br />
3 7 200 760 200 15 0 0 0 90 0.002877 0.004140<br />
M 7 Reverse<br />
C&Y2006 Page 65
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