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 ...
Comparison with Data at Distances > 70 km: Figure 45 shows intra-event residuals for the two large California earthquakes that are in both the PEER-NGA data set and the extended TriNet data set. The residuals were computed using the event terms determined fro the regression of the PEER-NGA data for RRUP ≤ 70 km. The model fit to the data for RRUP ≤ 70 km does a reasonable job of predicting the ground motions at larger distances when extrapolated using the model for γ given in Equation (19). Figure 45: Intra-event residuals for the Northridge and Hector Mines pga data from the PEER-NGA and extended data sets. The residuals were computed using the event term for each earthquake determined in the overall regression of the PEER-NGA data for RRUP ≤ 70 km. C&Y2006 Page 63
EXAMPLE CALCULATIONS FORTRAN routine CY2006.FOR and the accompanying coefficients table file CY2006.C are provided to implement the model developed in this study. Example input and output files are provided for four scenarios: M 5 and M 7 strike-slip earthquakes and M 5 and M 7 reverse faulting earthquakes. The required input variables are indicated by the header record in the example input files. Note the routine reads a value for the source-site angle θSITE, but it is not presently used in the model. The routine accepts its main input and writes the output to the console. After invoking at the command prompt, the routine asks for the coefficient file and then loops over prompts for the input and output files. Table 6 list the computed values of ground motion for the four example scenarios for spectral periods of 0.01, 0.2, 1.0, 3.0 seconds. Table 6: Example Calculations Period (sec) M RRUP VS30 RJB Width (km) FRV FNM ZTOR δ SA1130 (g) SA (g) M 5 Strike Slip 0.01 5 5 760 5 2.98 0 0 5 90 0.176143 0.209829 0.01 5 10 760 10 2.98 0 0 5 90 0.090143 0.108028 0.01 5 15 760 15 2.98 0 0 5 90 0.054094 0.065046 0.01 5 30 760 30 2.98 0 0 5 90 0.019356 0.023371 0.01 5 50 760 50 2.98 0 0 5 90 0.008551 0.010340 0.01 5 100 760 100 2.98 0 0 5 90 0.002559 0.003097 0.01 5 200 760 200 2.98 0 0 5 90 0.000469 0.000567 0.2 5 5 760 5 2.98 0 0 5 90 0.381812 0.461236 0.2 5 10 760 10 2.98 0 0 5 90 0.190465 0.232906 0.2 5 15 760 15 2.98 0 0 5 90 0.112706 0.138741 0.2 5 30 760 30 2.98 0 0 5 90 0.039643 0.049184 0.2 5 50 760 50 2.98 0 0 5 90 0.017440 0.021698 0.2 5 100 760 100 2.98 0 0 5 90 0.005271 0.006569 0.2 5 200 760 200 2.98 0 0 5 90 0.001001 0.001249 1 5 5 760 5 2.98 0 0 5 90 0.042062 0.057565 1 5 10 760 10 2.98 0 0 5 90 0.020717 0.028364 1 5 15 760 15 2.98 0 0 5 90 0.012403 0.016984 1 5 30 760 30 2.98 0 0 5 90 0.004750 0.006505 1 5 50 760 50 2.98 0 0 5 90 0.002427 0.003324 1 5 100 760 100 2.98 0 0 5 90 0.001108 0.001518 1 5 200 760 200 2.98 0 0 5 90 0.000495 0.000678 3 5 5 760 5 2.98 0 0 5 90 0.004184 0.006020 3 5 10 760 10 2.98 0 0 5 90 0.002059 0.002962 3 5 15 760 15 2.98 0 0 5 90 0.001238 0.001781 3 5 30 760 30 2.98 0 0 5 90 0.000485 0.000698 3 5 50 760 50 2.98 0 0 5 90 0.000257 0.000370 3 5 100 760 100 2.98 0 0 5 90 0.000130 0.000187 3 5 200 760 200 2.98 0 0 5 90 0.000072 0.000103 M 5 Reverse 0.01 5 5 760 0 2.98 1 0 5 45 0.206129 0.245144 0.01 5 10 760 7.03 2.98 1 0 5 45 0.101354 0.121352 0.01 5 15 760 13.21 2.98 1 0 5 45 0.060198 0.072341 0.01 5 30 760 29.15 2.98 1 0 5 45 0.021427 0.025864 0.01 5 50 760 49.49 2.98 1 0 5 45 0.009456 0.011433 0.01 5 100 760 99.75 2.98 1 0 5 45 0.002828 0.003423 0.01 5 200 760 199.87 2.98 1 0 5 45 0.000518 0.000627 0.2 5 5 760 0 2.98 1 0 5 45 0.448670 0.540181 0.2 5 10 760 7.03 2.98 1 0 5 45 0.214421 0.261728 C&Y2006 Page 64
- Page 13 and 14: Figure 6: Relationship between VS30
- 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: Sa (g) Sa (g) 1 0.1 0.01 0.001 1 0.
- Page 67 and 68: Table 6: Example Calculations Perio
- 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
- Page 75 and 76: RSN EQID Earthquake M Station No, S
- Page 77 and 78: RSN EQID Earthquake M Station No, S
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EXAMPLE CALCULATIONS<br />
FORTRAN routine CY2006.FOR <strong>and</strong> the accompanying coefficients table file CY2006.C<br />
are provided to implement the model developed in this study. Example input <strong>and</strong> output files<br />
are provided <strong>for</strong> four scenarios: M 5 <strong>and</strong> M 7 strike-slip earthquakes <strong>and</strong> M 5 <strong>and</strong> M 7<br />
reverse faulting earthquakes. The required input variables are indicated by the header record<br />
in the example input files. Note the routine reads a value <strong>for</strong> the source-site angle θSITE, but it<br />
is not presently used in the model. The routine accepts its main input <strong>and</strong> writes the output to<br />
the console. After invoking at the comm<strong>and</strong> prompt, the routine asks <strong>for</strong> the coefficient file<br />
<strong>and</strong> then loops over prompts <strong>for</strong> the input <strong>and</strong> output files.<br />
Table 6 list the computed values of ground motion <strong>for</strong> the four example scenarios <strong>for</strong> spectral<br />
periods of 0.01, 0.2, 1.0, 3.0 seconds.<br />
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 />
M 5 Strike Slip<br />
0.01 5 5 760 5 2.98 0 0 5 90 0.176143 0.209829<br />
0.01 5 10 760 10 2.98 0 0 5 90 0.090143 0.108028<br />
0.01 5 15 760 15 2.98 0 0 5 90 0.054094 0.065046<br />
0.01 5 30 760 30 2.98 0 0 5 90 0.019356 0.023371<br />
0.01 5 50 760 50 2.98 0 0 5 90 0.008551 0.010340<br />
0.01 5 100 760 100 2.98 0 0 5 90 0.002559 0.003097<br />
0.01 5 200 760 200 2.98 0 0 5 90 0.000469 0.000567<br />
0.2 5 5 760 5 2.98 0 0 5 90 0.381812 0.461236<br />
0.2 5 10 760 10 2.98 0 0 5 90 0.190465 0.232906<br />
0.2 5 15 760 15 2.98 0 0 5 90 0.112706 0.138741<br />
0.2 5 30 760 30 2.98 0 0 5 90 0.039643 0.049184<br />
0.2 5 50 760 50 2.98 0 0 5 90 0.017440 0.021698<br />
0.2 5 100 760 100 2.98 0 0 5 90 0.005271 0.006569<br />
0.2 5 200 760 200 2.98 0 0 5 90 0.001001 0.001249<br />
1 5 5 760 5 2.98 0 0 5 90 0.042062 0.057565<br />
1 5 10 760 10 2.98 0 0 5 90 0.020717 0.028364<br />
1 5 15 760 15 2.98 0 0 5 90 0.012403 0.016984<br />
1 5 30 760 30 2.98 0 0 5 90 0.004750 0.006505<br />
1 5 50 760 50 2.98 0 0 5 90 0.002427 0.003324<br />
1 5 100 760 100 2.98 0 0 5 90 0.001108 0.001518<br />
1 5 200 760 200 2.98 0 0 5 90 0.000495 0.000678<br />
3 5 5 760 5 2.98 0 0 5 90 0.004184 0.006020<br />
3 5 10 760 10 2.98 0 0 5 90 0.002059 0.002962<br />
3 5 15 760 15 2.98 0 0 5 90 0.001238 0.001781<br />
3 5 30 760 30 2.98 0 0 5 90 0.000485 0.000698<br />
3 5 50 760 50 2.98 0 0 5 90 0.000257 0.000370<br />
3 5 100 760 100 2.98 0 0 5 90 0.000130 0.000187<br />
3 5 200 760 200 2.98 0 0 5 90 0.000072 0.000103<br />
M 5 Reverse<br />
0.01 5 5 760 0 2.98 1 0 5 45 0.206129 0.245144<br />
0.01 5 10 760 7.03 2.98 1 0 5 45 0.101354 0.121352<br />
0.01 5 15 760 13.21 2.98 1 0 5 45 0.060198 0.072341<br />
0.01 5 30 760 29.15 2.98 1 0 5 45 0.021427 0.025864<br />
0.01 5 50 760 49.49 2.98 1 0 5 45 0.009456 0.011433<br />
0.01 5 100 760 99.75 2.98 1 0 5 45 0.002828 0.003423<br />
0.01 5 200 760 199.87 2.98 1 0 5 45 0.000518 0.000627<br />
0.2 5 5 760 0 2.98 1 0 5 45 0.448670 0.540181<br />
0.2 5 10 760 7.03 2.98 1 0 5 45 0.214421 0.261728<br />
C&Y2006 Page 64
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