1.9 Campbell & Bozorgnia (2003)

1) Reference

Kenneth W. Campbell and Yousef Bozorgnia, 2003, Updated Near-Source Ground-Motion (Attenuation) Relations for the Horizontal and Vertical Components of Peak Ground Acceleration and Acceleration Response Spectra, Bull. Seism. Soc. Am., Vol. 93, No. 1, 314-331.

2) Estimated physical parameter

- Peak ground acceleration (Horizontal, Vertical)

- Acceleration response spectra (h=5%, T=0.05 to 4 sec) (Horizontal, Vertical)

3) Used strong motion data

- Area: World wide

- Type of earthquake: Shallow crustal

- Period: 1957 – 1995 years

- Number of events: 85

- Number of records: 1403

- Magnitude: 4.4 – 7.7

- Epicentral distance: 3 – 60 km

4) Style of faulting

(a) Strike-slip/normal

(b) Reverse

(c) Thrust

5) Ground condition

(a) Firm rock: Pre-Tertiary sedimentary rock, hard volcanic deposit, high-grade metamorphic rock, crystalline rock, etc.

(b) Soft rock: Sedimentary rock, soft Tertiary volcanic deposits, etc.

(c) Very firm soil: Soil deposits of Pleistocene age, older Alluvium or terrace deposits

(d) Firm soil: Soil deposits of Holocene age, recent Alluvium or Alluvium fans

6) Definition of magnitude

Moment magnitude

7) Definition of source distance

Closest distance to seismogenic rupture

8) Definition of horizontal component

Geometric mean of two perpendicular horizontal components

9) Applicability written in the paper

The relations are valid for earthquakes of M_W ³ 5.0 and distances of r_seis £ 60km for shallow crustal earthquake in western North America and in similar seismically active tectonic regimes world-wide.

10) Empirical attenuation formula

Table 1.9.1 Coefficients and statistical parameters for PGA and acceleration response spectra

Tn (sec)	c1	c2	c3	c4	c5	c6	c7	c8	c9	c10	c11	c12	c13	c14	c15	c16	c17	No.	r^2
Average Horizontal Component
Unc. PGA	-2.896	0.812	0.000	-1.318	0.187	-0.029	-0.064	0.616	0	0.179	0.307	-0.062	-0.195	-0.320	0.370	0.964	0.263	960	0.955
Cor. PGA	-4.033	0.812	0.036	-1.061	0.041	-0.005	-0.018	0.766	0.034	0.343	0.351	-0.123	-0.138	-0.289	0.370	0.920	0.219	443	0.949
0.05	-3.740	0.812	0.036	-1.121	0.058	-0.004	-0.028	0.724	0.032	0.302	0.362	-0.140	-0.158	-0.205	0.370	0.940	0.239	435	0.940
0.075	-3.076	0.812	0.050	-1.252	0.121	-0.005	-0.051	0.648	0.040	0.243	0.333	-0.150	-0.196	-0.208	0.370	0.952	0.251	439	0.923
0.10	-2.661	0.812	0.060	-1.308	0.166	-0.009	-0.068	0.621	0.046	0.224	0.313	-0.146	-0.253	-0.258	0.370	0.958	0.257	439	0.901
0.15	-2.270	0.812	0.041	-1.324	0.212	-0.033	-0.081	0.613	0.031	0.318	0.344	-0.176	-0.267	-0.284	0.370	0.974	0.273	439	0.862
0.20	-2.771	0.812	0.030	-1.153	0.098	-0.014	-0.038	0.704	0.026	0.296	0.342	-0.148	-0.183	-0.359	0.370	0.981	0.280	439	0.844
0.30	-2.999	0.812	0.007	-1.080	0.059	-0.007	-0.022	0.752	0.007	0.359	0.385	-0.162	-0.157	-0.585	0.370	0.984	0.283	439	0.859
0.40	-3.511	0.812	-0.015	-0.964	0.024	-0.002	-0.005	0.842	-0.016	0.379	0.438	-0.078	-0.129	-0.557	0.370	0.987	0.286	439	0.871
0.50	-3.556	0.812	-0.035	-0.964	0.023	-0.002	-0.004	0.842	-0.036	0.406	0.479	-0.122	-0.130	-0.701	0.370	0.990	0.289	439	0.890
0.75	-3.709	0.812	-0.071	-0.964	0.021	-0.002	-0.002	0.842	-0.074	0.347	0.419	-0.108	-0.124	-0.796	0.331	1.021	0.320	438	0.917
1.0	-3.867	0.812	-0.101	-0.964	0.019	0	0	0.842	-0.105	0.329	0.338	-0.073	-0.072	-0.858	0.281	1.021	0.320	438	0.935
1.5	-4.093	0.812	-0.150	-0.964	0.019	0	0	0.842	-0.155	0.217	0.188	-0.079	-0.056	-0.954	0.210	1.021	0.320	428	0.960
2.0	-4.311	0.812	-0.180	-0.964	0.019	0	0	0.842	-0.187	0.060	0.064	-0.124	-0.116	-0.916	0.160	1.021	0.320	405	0.971
3.0	-4.817	0.812	-0.193	-0.964	0.019	0	0	0.842	-0.200	-0.079	0.021	-0.154	-0.117	-0.873	0.089	1.021	0.320	333	0.976
4.0	-5.211	0.812	-0.202	-0.964	0.019	0	0	0.842	-0.209	-0.061	0.057	-0.054	-0.261	-0.889	0.039	1.021	0.320	275	0.978
Vertical Component
Unc. PGA	-2.807	0.756	0	-1.391	0.191	0.044	-0.014	0.544	0	0.091	0.223	-0.096	-0.212	-0.199	0.630	1.003	0.302	941	0.964
Cor. PGA	-3.108	0.756	0	-1.287	0.142	0.046	-0.040	0.587	0	0.253	0.173	-0.135	-0.138	-0.256	0.630	0.975	0.274	439	0.958
0.05	-1.918	0.756	0	-1.517	0.309	0.069	-0.023	0.498	0	0.058	0.100	-0.195	-0.274	-0.219	0.630	1.031	0.330	434	0.934
0.075	-1.504	0.756	0	-1.551	0.343	0.083	0	0.487	0	0.135	0.182	-0.224	-0.303	-0.263	0.630	1.031	0.330	436	0.910
0.10	-1.672	0.756	0	-1.473	0.282	0.062	0.001	0.513	0	0.168	0.210	-0.198	-0.275	-0.252	0.630	1.031	0.330	436	0.900
0.15	-2.323	0.756	0	-1.280	0.171	0.045	0.008	0.591	0	0.223	0.238	-0.170	-0.175	-0.270	0.630	1.031	0.330	436	0.899
0.20	-2.998	0.756	0	-1.131	0.089	0.028	0.004	0.668	0	0.234	0.256	-0.098	-0.041	-0.311	0.571	1.031	0.330	436	0.915
0.30	-3.721	0.756	0.007	-1.028	0.050	0.010	0.004	0.736	0.007	0.249	0.328	-0.026	0.082	-0.265	0.488	1.031	0.330	436	0.941
0.40	-4.536	0.756	-0.015	-0.812	0.012	0	0	0.931	-0.018	0.299	0.317	-0.017	0.022	-0.257	0.428	1.031	0.330	436	0.949
0.50	-4.651	0.756	-0.035	-0.812	0.012	0	0	0.931	-0.043	0.243	0.354	-0.020	0.092	-0.293	0.383	1.031	0.330	436	0.957
0.75	-4.903	0.756	-0.071	-0.812	0.012	0	0	0.931	-0.087	0.295	0.418	0.078	0.091	-0.349	0.299	1.031	0.330	435	0.962
1.0	-4.950	0.756	-0.101	-0.812	0.012	0	0	0.931	-0.124	0.266	0.315	0.043	0.101	-0.481	0.240	1.031	0.330	435	0.967
1.5	-5.073	0.756	-0.150	-0.812	0.012	0	0	0.931	-0.184	0.171	0.211	-0.038	-0.018	-0.518	0.240	1.031	0.330	420	0.973
2.0	-5.292	0.756	-0.180	-0.812	0.012	0	0	0.931	-0.222	0.114	0.115	0.033	-0.022	-0.503	0.240	1.031	0.330	395	0.977
3.0	-5.748	0.756	-0.193	-0.812	0.012	0	0	0.931	-0.238	0.179	0.159	-0.010	-0.047	-0.539	0.240	1.031	0.330	321	0.978
4.0	-6.042	0.756	-0.202	-0.812	0.012	0	0	0.931	-0.248	0.237	0.134	-0.059	-0.267	-0.606	0.240	1.031	0.330	274	0.980