1.4
Sabetta & Pugliese (1996)
1) Reference
Fabio Sabetta and Antonio Pugliese, 1996, estimation of Response Spectra and Simulation of Nonstationary Earthquake Ground Motions, Bull. Seism. Soc. Am., Vol. 86, No. 2, 337-352.
2) Estimated
physical parameter
- Peak ground acceleration (Horizontal, Vertical)
- Peak ground velocity (Horizontal, Vertical)
- Velocity response spectra (h=5%, T=0.04 to 4 sec) (Horizontal, Vertical)
3) Used
strong motion data
- Area:
- Type of earthquake: Not defined
- Period: 1940 – 1992 years
- Number of events: 17
- Number of records: 95
- Magnitude: 4.6 – 6.8
- Epicentral distance: 1.5 – 110 km
4) Style
of faulting
Not specified
5) Ground
condition
(a) Stiff
(b) Shallow Alluvium (H≦20m)
(c) Deep Alluvium (H>20m)
H : Thickness of alluvium soil layer
6) Definition
of magnitude
Magnitude corresponds to the surface-wave
magnitude (Ms) when both local magnitude (ML) and Ms are greater
than or equal to 5.5 and corresponds to ML when magnitude is lower
than this value.
7) Definition
of source distance
- Epicentral distance and
- Shortest distance between the recording station and the surface projection of the fault plane
8) Definition
of horizontal component
Larger of the two horizontal components of the motion
9) Applicability
written in the paper
The equations are applicable to predict motions at distances smaller than 100 km and magnitudes ranging from 4.6 to 6.8.
10) Empirical
attenuation formula
Table
1.4.1 Coefficients for velocity
response spectra, PGA and PGV for horizontal component and fault distance
|
|
Freq. |
|
Const. Term |
Mag. Coeff. |
Dist. Coeff. |
Site Coeff. |
Site Coeff. |
|
|
|
|
(Hz) |
|
a |
b |
c |
e1 |
e2 |
h |
s |
|
5% damped PSV
(cm/sec) |
0.25 |
raw |
-2.320 |
0.653 |
-1 |
0 |
0.134 |
2.3 |
0.275 |
|
|
smooth |
-2.400 |
0.685 |
-1 |
0 |
0.130 |
2.1 |
0.297 |
|
|
|
0.33 |
raw |
-2.017 |
0.637 |
-1 |
0 |
0.149 |
2.3 |
0.317 |
|
|
|
smooth |
-2.170 |
0.675 |
-1 |
0 |
0.151 |
2.5 |
0.297 |
|
|
0.50 |
raw |
-1.935 |
0.667 |
-1 |
0 |
0.194 |
3.1 |
0.300 |
|
|
|
smooth |
-1.800 |
0.650 |
-1 |
0 |
0.184 |
3.1 |
0.297 |
|
|
0.67 |
raw |
-1.498 |
0.614 |
-1 |
0 |
0.200 |
4.0 |
0.242 |
|
|
|
smooth |
-1.510 |
0.620 |
-1 |
0.010 |
0.210 |
3.5 |
0.295 |
|
|
1.00 |
raw |
-1.112 |
0.560 |
-1 |
0 |
0.242 |
4.2 |
0.246 |
|
|
|
smooth |
-1.120 |
0.570 |
-1 |
0.050 |
0.242 |
4.0 |
0.290 |
|
|
1.33 |
raw |
-0.753 |
0.503 |
-1 |
0.120 |
0.232 |
4.9 |
0.261 |
|
|
|
smooth |
-0.850 |
0.530 |
-1 |
0.120 |
0.232 |
4.4 |
0.283 |
|
|
2.00 |
raw |
-0.496 |
0.458 |
-1 |
0.240 |
0.156 |
4.6 |
0.279 |
|
|
|
smooth |
-0.400 |
0.455 |
-1 |
0.220 |
0.156 |
5.0 |
0.271 |
|
|
2.50 |
raw |
-0.077 |
0.397 |
-1 |
0.196 |
0 |
4.9 |
0.268 |
|
|
|
smooth |
-0.077 |
0.400 |
-1 |
0.210 |
0.115 |
5.3 |
0.264 |
|
|
3.33 |
raw |
0.467 |
0.301 |
-1 |
0.122 |
0 |
6.1 |
0.245 |
|
|
|
smooth |
0.400 |
0.315 |
-1 |
0.165 |
0.065 |
5.7 |
0.245 |
|
|
5.00 |
raw |
0.489 |
0.283 |
-1 |
0.103 |
0 |
5.7 |
0.215 |
|
|
|
smooth |
0.550 |
0.273 |
-1 |
0.130 |
0 |
6.3 |
0.215 |
|
|
6.67 |
raw |
0.499 |
0.255 |
-1 |
0.135 |
0 |
6.5 |
0.207 |
|
|
|
smooth |
0.500 |
0.255 |
-1 |
0.130 |
0 |
6.7 |
0.200 |
|
|
10.00 |
raw |
0.290 |
0.244 |
-1 |
0.168 |
0 |
7.3 |
0.200 |
|
|
|
smooth |
0.290 |
0.245 |
-1 |
0.130 |
0 |
7.3 |
0.190 |
|
|
15.00 |
raw |
-0.033 |
0.249 |
-1 |
0.112 |
0 |
7.2 |
0.181 |
|
|
|
smooth |
-0.035 |
0.255 |
-1 |
0.130 |
0 |
7.2 |
0.182 |
|
|
25.00 |
raw |
-0.505 |
0.275 |
-1 |
0.147 |
0 |
5.8 |
0.182 |
|
|
|
smooth |
-0.505 |
0.273 |
-1 |
0.130 |
0 |
5.8 |
0.182 |
|
PGA (g) |
-1.562 |
0.306 |
-1 |
0.169 |
0 |
5.8 |
0.173 |
||
|
PGV (cm/sec) |
-0.710 |
0.455 |
-1 |
0.133 |
0.133 |
3.6 |
0.215 |
||
|
Coefficients
are to be used for 4.6 £ M £ 6.8 and R £ 100km. |
|||||||||
Table
1.4.2 Coefficients for velocity
response spectra, PGA and PGV for horizontal component and epicentral distance
|
|
Freq. |
|
Const. Term |
Mag. Coeff. |
Dist. Coeff. |
Site Coeff. |
Site Coeff. |
|
|
|
|
(Hz) |
|
a |
b |
c |
e1 |
e2 |
h |
s |
|
5% damped PSV
(cm/sec) |
0.25 |
raw |
-2.409 |
0.684 |
-1 |
0 |
0.111 |
2.7 |
0.303 |
|
|
smooth |
-2.500 |
0.725 |
-1 |
0 |
0.100 |
2.6 |
0.319 |
|
|
|
0.33 |
raw |
-2.146 |
0.675 |
-1 |
0 |
0.109 |
2.7 |
0.344 |
|
|
|
smooth |
-2.250 |
0.715 |
-1 |
0 |
0.108 |
3.0 |
0.319 |
|
|
0.50 |
raw |
-2.082 |
0.706 |
-1 |
0 |
0.157 |
3.4 |
0.320 |
|
|
|
smooth |
-1.900 |
0.687 |
-1 |
0 |
0.150 |
3.6 |
0.319 |
|
|
0.67 |
raw |
-1.647 |
0.654 |
-1 |
0 |
0.165 |
4.4 |
0.270 |
|
|
|
smooth |
-1.647 |
0.660 |
-1 |
0.010 |
0.175 |
4.0 |
0.315 |
|
|
1.00 |
raw |
-1.297 |
0.605 |
-1 |
0 |
0.209 |
4.2 |
0.271 |
|
|
|
smooth |
-1.280 |
0.612 |
-1 |
0.050 |
0.208 |
4.4 |
0.308 |
|
|
1.33 |
raw |
-1.006 |
0.557 |
-1 |
0.120 |
0.208 |
4.4 |
0.278 |
|
|
|
smooth |
-1.000 |
0.570 |
-1 |
0.120 |
0.190 |
4.7 |
0.303 |
|
|
2.00 |
raw |
-0.650 |
0.498 |
-1 |
0.249 |
0.124 |
5.1 |
0.301 |
|
|
|
smooth |
-0.595 |
0.500 |
-1 |
0.230 |
0.124 |
5.0 |
0.290 |
|
|
2.50 |
raw |
-0.281 |
0.442 |
-1 |
0.219 |
0 |
4.8 |
0.285 |
|
|
|
smooth |
-0.281 |
0.445 |
-1 |
0.222 |
0.078 |
5.2 |
0.280 |
|
|
3.33 |
raw |
0.202 |
0.354 |
-1 |
0.147 |
0 |
5.5 |
0.260 |
|
|
|
smooth |
0.100 |
0.377 |
-1 |
0.185 |
0.020 |
5.4 |
0.260 |
|
|
5.00 |
raw |
0.296 |
0.326 |
-1 |
0.126 |
0 |
5.8 |
0.238 |
|
|
|
smooth |
0.296 |
0.323 |
-1 |
0.161 |
0 |
5.7 |
0.234 |
|
|
6.67 |
raw |
0.222 |
0.311 |
-1 |
0.161 |
0 |
5.8 |
0.220 |
|
|
|
smooth |
0.222 |
0.310 |
-1 |
0.161 |
0 |
5.9 |
0.220 |
|
|
10.00 |
raw |
-0.019 |
0.304 |
-1 |
0.194 |
0 |
6.3 |
0.214 |
|
|
|
smooth |
-0.019 |
0.304 |
-1 |
0.161 |
0 |
6.2 |
0.208 |
|
|
15.00 |
raw |
-0.312 |
0.304 |
-1 |
0.137 |
0 |
6.5 |
0.194 |
|
|
|
smooth |
-0.312 |
0.304 |
-1 |
0.161 |
0 |
6.3 |
0.200 |
|
|
25.00 |
raw |
-0.817 |
0.336 |
-1 |
0.174 |
0 |
4.7 |
0.195 |
|
|
|
smooth |
-0.817 |
0.330 |
-1 |
0.161 |
0 |
4.7 |
0.195 |
|
PGA (g) |
-1.845 |
0.363 |
-1 |
0.195 |
0 |
5.0 |
0.190 |
||
|
PGV (cm/sec) |
-0.828 |
0.489 |
-1 |
0.116 |
0.116 |
3.9 |
0.249 |
||
|
Coefficients
are to be used for 4.6 £ M £ 6.8 and R £ 100km. |
|||||||||
Table
1.4.3 Coefficients for velocity
response spectra, PGA and PGV for vertical component and fault distance
|
|
Freq. |
|
Const. Term |
Mag. Coeff. |
Dist. Coeff. |
Site Coeff. |
Site Coeff. |
|
|
|
|
(Hz) |
|
a |
b |
c |
e1 |
e2 |
h |
s |
|
5% damped PSV
(cm/sec) |
0.25 |
raw |
-2.395 |
0.621 |
-1 |
0 |
0 |
2.8 |
0.300 |
|
|
smooth |
-2.395 |
0.629 |
-1 |
0 |
0 |
2.4 |
0.300 |
|
|
|
0.33 |
raw |
-2.162 |
0.605 |
-1 |
0 |
0 |
2.9 |
0.328 |
|
|
|
smooth |
-2.292 |
0.636 |
-1 |
0 |
0 |
2.4 |
0.328 |
|
|
0.50 |
raw |
-2.154 |
0.640 |
-1 |
0 |
0 |
2.6 |
0.351 |
|
|
|
smooth |
-2.154 |
0.639 |
-1 |
0 |
0 |
2.5 |
0.351 |
|
|
0.67 |
raw |
-1.848 |
0.607 |
-1 |
0 |
0 |
2.4 |
0.345 |
|
|
|
smooth |
-1.900 |
0.615 |
-1 |
0 |
0 |
2.9 |
0.345 |
|
|
1.00 |
raw |
-1.547 |
0.574 |
-1 |
0 |
0 |
3.9 |
0.305 |
|
|
|
smooth |
-1.547 |
0.574 |
-1 |
0.010 |
0 |
3.9 |
0.305 |
|
|
1.33 |
raw |
-1.155 |
0.512 |
-1 |
0 |
0 |
5.2 |
0.280 |
|
|
|
smooth |
-1.155 |
0.515 |
-1 |
0.018 |
0 |
4.9 |
0.280 |
|
|
2.00 |
raw |
-0.512 |
0.402 |
-1 |
0 |
0 |
5.1 |
0.254 |
|
|
|
smooth |
-0.712 |
0.441 |
-1 |
0.040 |
0 |
5.1 |
0.254 |
|
|
2.50 |
raw |
-0.523 |
0.397 |
-1 |
0.076 |
0 |
4.9 |
0.237 |
|
|
|
smooth |
-0.480 |
0.399 |
-1 |
0.080 |
0 |
5.1 |
0.240 |
|
|
3.33 |
raw |
-0.482 |
0.384 |
-1 |
0.174 |
0 |
4.7 |
0.252 |
|
|
|
smooth |
-0.350 |
0.370 |
-1 |
0.137 |
0 |
5.1 |
0.232 |
|
|
5.00 |
raw |
-0.135 |
0.314 |
-1 |
0.171 |
0 |
5.1 |
0.252 |
|
|
|
smooth |
-0.130 |
0.320 |
-1 |
0.173 |
0 |
5.1 |
0.225 |
|
|
6.67 |
raw |
-0.323 |
0.333 |
-1 |
0.153 |
0 |
5.7 |
0.221 |
|
|
|
smooth |
-0.323 |
0.337 |
-1 |
0.185 |
0 |
4.7 |
0.221 |
|
|
10.00 |
raw |
-0.841 |
0.384 |
-1 |
0.192 |
0 |
2.9 |
0.215 |
|
|
|
smooth |
-0.700 |
0.370 |
-1 |
0.205 |
0 |
3.8 |
0.215 |
|
|
15.00 |
raw |
-1.101 |
0.378 |
-1 |
0.231 |
0 |
2.0 |
0.206 |
|
|
|
smooth |
-1.000 |
0.380 |
-1 |
0.220 |
0 |
3.0 |
0.210 |
|
|
25.00 |
raw |
-1.411 |
0.375 |
-1 |
0.235 |
0 |
2.0 |
0.212 |
|
|
|
smooth |
-1.411 |
0.385 |
-1 |
0.230 |
0 |
2.2 |
0.212 |
|
PGA (g) |
-2.365 |
0.387 |
-1 |
0.182 |
0 |
4.9 |
0.181 |
||
|
PGV (cm/sec) |
-1.359 |
0.525 |
-1 |
0 |
0 |
4.9 |
0.212 |
||
|
Coefficients
are to be used for 4.6 £ M £ 6.8 and R £ 100km. |
|||||||||
Table
1.4.4 Coefficients for velocity
response spectra, PGA and PGV for vertical component and epicentral distance
|
|
Freq. |
|
Const. Term |
Mag. Coeff. |
Dist. Coeff. |
Site Coeff. |
Site Coeff. |
|
|
|
|
(Hz) |
|
a |
b |
c |
e1 |
e2 |
h |
s |
|
5% damped PSV
(cm/sec) |
0.25 |
raw |
-2.507 |
0.652 |
-1 |
0 |
0 |
3.1 |
0.320 |
|
|
smooth |
-2.507 |
0.660 |
-1 |
0 |
0 |
2.2 |
0.320 |
|
|
|
0.33 |
raw |
-2.275 |
0.637 |
-1 |
0 |
0 |
3.2 |
0.346 |
|
|
|
smooth |
-2.400 |
0.670 |
-1 |
0 |
0 |
2.5 |
0.346 |
|
|
0.50 |
raw |
-2.294 |
0.676 |
-1 |
0 |
0 |
2.5 |
0.362 |
|
|
|
smooth |
-2.220 |
0.670 |
-1 |
0 |
0 |
2.8 |
0.362 |
|
|
0.67 |
raw |
-1.946 |
0.637 |
-1 |
0 |
0 |
2.8 |
0.364 |
|
|
|
smooth |
-1.960 |
0.645 |
-1 |
0 |
0 |
3.2 |
0.358 |
|
|
1.00 |
raw |
-1.702 |
0.612 |
-1 |
0 |
0 |
3.9 |
0.313 |
|
|
|
smooth |
-1.630 |
0.605 |
-1 |
0.010 |
0 |
4.1 |
0.313 |
|
|
1.33 |
raw |
-1.336 |
0.554 |
-1 |
0 |
0 |
5.1 |
0.289 |
|
|
|
smooth |
-1.336 |
0.560 |
-1 |
0.030 |
0 |
4.6 |
0.289 |
|
|
2.00 |
raw |
-0.655 |
0.438 |
-1 |
0 |
0 |
5.4 |
0.267 |
|
|
|
smooth |
-0.920 |
0.485 |
-1 |
0.090 |
0 |
5.0 |
0.267 |
|
|
2.50 |
raw |
-0.766 |
0.447 |
-1 |
0.100 |
0 |
4.4 |
0.251 |
|
|
|
smooth |
-0.750 |
0.453 |
-1 |
0.120 |
0 |
5.0 |
0.258 |
|
|
3.33 |
raw |
-0.674 |
0.427 |
-1 |
0.196 |
0 |
4.7 |
0.263 |
|
|
|
smooth |
-0.550 |
0.413 |
-1 |
0.155 |
0 |
5.0 |
0.245 |
|
|
5.00 |
raw |
-0.322 |
0.356 |
-1 |
0.193 |
0 |
5.2 |
0.267 |
|
|
|
smooth |
-0.400 |
0.373 |
-1 |
0.190 |
0 |
5.0 |
0.235 |
|
|
6.67 |
raw |
-0.635 |
0.394 |
-1 |
0.181 |
0 |
4.6 |
0.220 |
|
|
|
smooth |
-0.550 |
0.380 |
-1 |
0.210 |
0 |
4.5 |
0.230 |
|
|
10.00 |
raw |
-1.091 |
0.437 |
-1 |
0.218 |
0 |
1.7 |
0.227 |
|
|
|
smooth |
-0.950 |
0.411 |
-1 |
0.235 |
0 |
3.5 |
0.225 |
|
|
15.00 |
raw |
-1.298 |
0.422 |
-1 |
0.252 |
0 |
1.0 |
0.221 |
|
|
|
smooth |
-1.250 |
0.424 |
-1 |
0.252 |
0 |
2.5 |
0.221 |
|
|
25.00 |
raw |
-1.626 |
0.423 |
-1 |
0.258 |
0 |
0.5 |
0.219 |
|
|
|
smooth |
-1.626 |
0.428 |
-1 |
0.258 |
0 |
1.5 |
0.219 |
|
PGA (g) |
-2.637 |
0.443 |
-1 |
0.209 |
0 |
4.1 |
0.195 |
||
|
PGV (cm/sec) |
-1.499 |
0.561 |
-1 |
0 |
0 |
5.2 |
0.228 |
||
|
Coefficients
are to be used for 4.6 £ M £ 6.8 and R £ 100km. |
|||||||||