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

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Rjb Estimated . Rcl Estimated . 200 180 160 140 120 100 80 60 40 20 0 200 180 160 140 120 100 80 60 40 20 0 0 20 40 60 80 100 120 140 160 180 200 Rjb C&B 0 20 40 60 80 100 120 140 160 180 200 Rcl C&B Figure B-5: Comparison of estimated Joyner-Boore distances (RJB) closest distance to rupture (RRUP) obtained in this analysis to those obtained by Ken Campbell and used in Campbell and Bozorgnia (2003). C&Y2006, Appendix B B-6
Appendix C Estimation of Vs30 at CWB’s Free-Field Sites Brian Chiou and K.L. Wen (June 08, 2006) Introduction When Vs30 measurement is missing, an estimate is typically calculated using an empirical relationship between Vs30 and other site data, such as surface geology or Geomatrix’s 3 rd letter (C3). This approach is used in the PEER-NGA project and has also been widely used in California (Wills and Silva, 1998; Wills and others, 2000; Wills and Clahan, 2004) and other regions. This short note reports our efforts to establish empirical Vs30 - C3 relationships for strong-motion sites in Taiwan. The Taiwan-specific relationship uses C3 as the main predictor. It also uses station elevation to capture the within-category variation of Vs30. The use of elevation as a predictor leads to a significant improvement of mapping accuracy within a site category, particularly within Geomatrix’s category D. Data Vs30 data used in this study are derived from the P-S logging provided to the PEER-NGA project by NCREE, who manage the site investigation of strong-motion stations operated by CWB in Taiwan 1 . During the period of 2000 - 2004 a total of 231 holes were drilled and logged. The site investigation project is still on going and more P-S logging data will become available in the next several years. Dr. Walt Silva (PE&A) reviewed the P-S logging data from each of the 231 holes, smoothed the velocity profile, and computed Vs30 from the smoothed profile. We selected 165 sites for use in our study. The remaining 66 strong-motion sites were not used because either the drill hole is less than 20 m deep or a Geomatrix C3 classification has not been assigned yet. Other site data are also collected. They include: (1). Geomatrix’s 2 nd and 3 rd letters (D. Wells, pers. comm., 2004); (2) The site classification (PSC) by Lee et al. (2001); and (3) Station elevation (Lee et al., 2001). Variation of Vs30 within a Site Category Histogram of the 165 Vs30 data, grouped by C3, is shown in Figure C-1. This figure highlights two difficulties in using C3 to map Vs30 in Taiwan. First, categories A, B, and C are not distinguishable by Vs30. Secondly, the most populous category (D) is bimodal with a large Vs30 variation within that category. The active tectonic in Taiwan leads to a strong correlation between elevation and geology (Lee et al., 2001). The higher the elevation the stiffer the surface material tends to be. This unique feature prompts us to explore if elevation could be used to explain the large Vs30 variation in category D. Vs30 1 Plots of the drilling logs can be viewed on CWB website at http://www.cwb.gov.tw/V4/index.htm. C&Y2006, Appendix C C-1
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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
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REFERENCES Abrahamson, N.A., and Si
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Frankel, A., A. McGarr, J. Bicknell
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Appendix A Recordings from PEER-NGA
Page 75 and 76: RSN EQID Earthquake M Station No, S
Page 121 and 122: Appendix B Estimation of Distance a
Page 123 and 124: Figure B-2: Data for aspect ratio v
Page 125: Probability . 0.18 0.16 0.14 0.12 0
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^
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Page 143 and 144: PSA (g) 10^-1 10^-2 10^-3 10^-4 10^
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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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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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Chiou and Youngs PEER-NGA Empirical Ground Motion Model for ...

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