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

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RSN EQID Earthquake M Station No, Station 3484 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU094 3485 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU095 3486 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU096 3487 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU098 3488 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU100 3489 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU102 3490 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU103 3491 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU104 3492 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU105 3493 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU107 3494 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU108 3495 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU109 3496 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU110 3497 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU112 3498 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU113 3499 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU115 3500 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU118 3501 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU119 3502 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU120 3503 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU122 3504 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU123 3505 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU125 3506 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU128 3507 0175 Chi-Chi, Taiwan-06 6.3 9999936 TCU129 3508 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU136 3509 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU138 3510 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU139 3511 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU140 3512 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU141 3513 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU145 3514 0175 Chi-Chi, Taiwan-06 6.3 99999 TCU147 3515 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN001 3516 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN002 3517 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN003 3518 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN004 3519 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN005 3520 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN006 3521 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN007 3522 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN008 3523 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN009 3524 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN012 3525 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN014 3526 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN015 3527 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN018 3528 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN020 3529 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN022 3530 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN023 3531 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN024 3532 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN025 3533 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN026 3534 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN027 3535 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN028 3536 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN031 3537 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN032 3538 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN033 3539 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN036 3540 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN040 3541 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN041 3542 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN042 3543 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN044 3544 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN045 3545 0175 Chi-Chi, Taiwan-06 6.3 99999 TTN046 C&Y2006, Appendix A A-48
Appendix B Estimation of Distance and Geometry Measures for Earthquakes without Finite Rupture Models Approach There are 110 earthquakes in the NGA data set that do not have finite fault models, and therefore have only epicentral and hypocentral distances listed in the flat file. Rupture distances and source-site geometry parameters were estimated for the recordings from these earthquakes by simulating 101 possible rupture planes for each earthquake, computing the distance measures for each site for each simulation, and then taking the median of these values for use in completing the metadata in the PEER-NGA data base. The estimated parameters include RRUP, RJB, RSEIS, RRMS, the source=site angle θSITE, the hanging wall and foot wall indicators FHW and FFW, and the fault rupture width W and depth to top of rupture, ZTOR. Simulation Process The first step was to simulate the fault rupture dimensions. The rupture area, A, was simulated using the Wells and Coppersmith (1994) relationship for all fault types: log( = log( Area) A) −3. 49 + 0. 91M σ = 0. 24 (B-1) Figure B-1 shows the data for rupture area versus M for the finite rupture models in the PEER-NGA database. The black lines show a linear fit to the data (solid = mean, dashed = 90% confidence on mean). The blue line is Wells and Coppersmith (1994), which falls within the 90% confidence interval and provides a closer fit to the data for smaller magnitude earthquakes of primary interest in the simulation, as those earthquakes without finite fault models are principally of magnitude < M 6. The aspect ratio of the rupture was then simulated using the relationship: log( = NM RV log( AR) 3. 097 AR) ( 0. 01752 − 0. 00472F − 0. 01099F ) * ( M − 4) σ = 0. 16 (B-2) where FNM and FRV are (0,1) dummy variables for normal and revere earthquakes, respectively. This relationship was defined by fitting the aspect ratio data for the PEER- NGA finite fault model data set (Figure B-2). Correlation in the residuals between rupture area and aspect ratio was low (
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Chiou and Youngs PEER-NGA Empirical
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data are consistent with strong mot
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Figure 1: Magnitude-distance-region
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Figure 2: Empirical ground motion d
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EQID Earthquake M Table 3: Inferred
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Site Average Shear Wave Velocity: A
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Figure 6: Relationship between VS30
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1 ) ∝ C2 × M + ( C2 − C ) × l
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Figure 9: Peak acceleration data fr
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C4+C5M slowly and the value of the
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allows the interpretation of the co
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Figure 13: Coefficients resulting f
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the top of rupture located at x = 0
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Figure 18: Intra-event residuals fo
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Figure 21: Variation of HW* with ma
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The interpretation of the parameter
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to the PEER-NGA pga data selected f
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EFFECT OF DATA TRUNCATION The initi
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term [ 1 Φ( y ( θ ) + τ ⋅ z ,
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Table 4: Estimate of Anelastic Atte
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data truncated at a maximum distanc
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faulting earthquakes at long period
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Slope -1.5 -1.0 -0.5 0.0 0.5 1.0 0.
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C&Y2006 Page 46 Table 5: Coefficien
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c1 of T0.010S c1 of T1.000S MODEL R
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esid 1 0 -1 -2 resid resid 1 0 -1 -
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esid resid resid 1 0 -1 -2 1 0 -1 -
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esid 2 1 0 -1 -2 SCEC Version 2 0 2
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Amplification w.r.t. Vs30 = 1130 m/
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Sa(g) Sa(g) 10 1 0.1 0.01 10 1 0.1
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Sa (g) Sa (g) 1 0.1 0.01 0.001 0.00
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Sa (g) Sa (g) 1 0.1 0.01 0.001 1 0.
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EXAMPLE CALCULATIONS FORTRAN routin
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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 119: RSN EQID Earthquake M Station No, S
Page 123 and 124: Figure B-2: Data for aspect ratio v
Page 125 and 126: Probability . 0.18 0.16 0.14 0.12 0
Page 127 and 128: Appendix C Estimation of Vs30 at CW
Page 129 and 130: Percent of Total 50 40 30 20 10 0 G
Page 131 and 132: Vs30 (m/sec) 1400 1200 1000 800 600
Page 133 and 134: Figure D-1. Epicenter distribution
Page 135 and 136: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 137 and 138: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 139 and 140: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 141 and 142: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 143 and 144: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 145 and 146: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
Page 147 and 148: T0.010S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T0.200S 1 0.1 0.01 1 0.1 0.01 1130
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1 0.1 0.01
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T1.000S 1 0.1 0.01 0.001 1130 m/s 5
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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T3.000S 0.1 0.01 0.001 0.1 0.01 0.0
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