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

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Amplification Factor<br />

3<br />

1<br />

0.5<br />

0.3<br />

EPRI & Peninsular Range; 0.01 Sec;<br />

0.001 0.003 0.01 0.03 0.1 0.3 1 3 10<br />

Figure 24: Soil amplification as a function of ground motion level from 1-D equivalent linear site<br />

response analyses (Silva, 2004). Colors denote VS30 as follows: light blue - 150m/s, magenta -<br />

270m/s, green - 400m/s, red - 560m/s, <strong>and</strong> blue - 750m/s.<br />

Coef. a (log of Low-Strain Amp. Factor)<br />

Coef. a (log of Low-Strain Amp. Factor)<br />

-0.2 0.4 0.8 1.2 1.6 2.0<br />

-0.2 0.4 0.8 1.2 1.6 2.0<br />

0.01 Sec; Coefficient a<br />

200 300 500 700 1000 2000 3000<br />

Vs30 (m/sec)<br />

0.0105 Sec; Coefficient a<br />

200 300 500 700 1000 2000 3000<br />

Vs30 (m/sec)<br />

C&Y2006 Page 31<br />

RockSA<br />

Coef. b<br />

Coef. b<br />

-1.6 -1.0 -0.4 0.0<br />

-1.6 -1.0 -0.4 0.0<br />

0.01 Sec; Coefficient b<br />

200 300 500 700 1000 2000 3000<br />

Vs30 (m/sec)<br />

0.0105 Sec; Coefficient b<br />

200 300 500 700 1000 2000 3000<br />

Vs30 (m/sec)<br />

Figure 25: Fit of models <strong>for</strong> coefficients a <strong>and</strong> b to the 1-D site response results from Silva (2004).<br />

The dashed lines represent fits using the functional <strong>for</strong>ms in Equation 15.<br />

Choi <strong>and</strong> Stewart (2005) developed a model <strong>for</strong> the dependence of nonlinear site<br />

amplification on VS30 <strong>and</strong> the level of input rock motion. Figure 26 compares the variation of<br />

the parameter b computed from their models with results obtained from fitting Equation (15)

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