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RKM – 3/1/2007 – 1/20
Hard Rock Design Response Hard Rock Design Response Spectra at Southeastern US Spectra at Southeastern US
SitesSitesRobin K. McGuire
Risk Engineering, Inc.Boulder, Colorado
March 1, 2007
RKM – 3/1/2007 – 2/20
Map of 3 sites
RKM – 3/1/2007 – 3/20
RKM – 3/1/2007 – 4/20
RKM – 3/1/2007 – 5/20
Assumptions for PSHA1. Hard rock conditions2. Update EPRI-SOG analysis with new models for
Charleston and New Madrid sources3. Apply CAV filter4. Use EPRI (2004) ground motion equations with
revised σ.
RKM – 3/1/2007 – 6/20
10 Hz hazard curves for 3 sites
Mean Hazard Curves, 10 Hz
1E-9
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
0.001 0.01 0.1 1 10
Spectral Acceleration (g)
Ann
ual P
[Exc
eede
nce]
BellefonteSummerLee
RKM – 3/1/2007 – 7/20
1 Hz hazard curves for 3 sites
Mean Hazard Curves, 1 Hz
1E-9
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
0.001 0.01 0.1 1 10
Spectral Acceleration (g)
Ann
ual P
[Exc
eede
nce]
BellefonteSummerLee
RKM – 3/1/2007 – 8/20
Contribution to 10 Hz hazard by source
Bellefonte Mean Hazard Curves, 10 Hz
1E-9
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
0.001 0.01 0.1 1 10
Spectral Acceleration (g)
Ann
ual P
[Exc
eede
nce]
TotalNew MadridCharlestonOthers
RKM – 3/1/2007 – 9/20
Contribution to 1 Hz hazard by source
Bellefonte Mean Hazard Curves, 1 Hz
1E-9
1E-8
1E-7
1E-6
1E-5
1E-4
1E-3
1E-2
0.001 0.01 0.1 1 10
Spectral Acceleration (g)
Ann
ual P
[Exc
eede
nce]
TotalNew MadridCharlestonOthers
RKM – 3/1/2007 – 10/20
10-4 Mean Uniform Hazard Spectra
0.0
0.1
0.2
0.3
0.4
0.1 1 10 100
Frequency, Hz
Spec
tral
acc
eler
atio
n, g
BellefonteSummerLee
RKM – 3/1/2007 – 11/20
10-5 Mean Uniform Hazard Spectra
0.00.20.40.60.81.01.21.41.61.82.0
0.1 1 10 100
Frequency, Hz
Spec
tral
acc
eler
atio
n, g
BellefonteSummerLee
RKM – 3/1/2007 – 12/20
Performance-based spectral amplitudes at 7 frequencies
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
0.1 1.0 10.0 100.0
Frequency (Hz)
Acc
eler
atio
n (g
) .
Bellefonte CAV+σSummer CAV+σLee CAV+σAP1000RG1.60 at 0.1g
RKM – 3/1/2007 – 13/20
Mean 10-4 deaggregation, average of 5 and 10 Hz
RKM – 3/1/2007 – 14/20
Mean 10-4 deaggregation, average of 1 and 2.5 Hz
RKM – 3/1/2007 – 15/20
Mean 10-5 deaggregation, average of 5 and 10 Hz
RKM – 3/1/2007 – 16/20
Mean 10-5 deaggregation, average of 1 and 2.5 Hz
RKM – 3/1/2007 – 17/20
Comparison of envelope GMRS with AP1000 spectrum
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
0.90
1.00
0.1 1.0 10.0 100.0
Frequency (Hz)
Acc
eler
atio
n (g
) .
Bellefonte CAV+σ
AP1000
RG1.60 at 0.1g
RKM – 3/1/2007 – 18/20
Check_th run for Bellefonte, Luc-Horiz 1 - Acceleration, Velocity, and Displacement Time Histories
-0.3-0.25-0.2
-0.15-0.1
-0.050
0.050.1
0.150.2
0 10 20 30 40 50 60
Acc
eler
atio
n (g
)
-20
-15
-10
-5
0
5
10
15
0 10 20 30 40 50 60
Velo
city
(cm
/sec
)
-10
-8
-6
-4
-20
2
4
6
8
0 10 20 30 40 50 60
Time (sec)
Dis
plac
emen
t (cm
)
RKM – 3/1/2007 – 19/20
Target and fitted response spectra, component H1
Check_th run for Bellefonte, Luc-Horiz 1 - Response Spectra
0.01
0.1
1
0.1 1 10 100
Frequency (Hz)
Spec
tral
Acc
eler
atio
n (g
Target
From Time History
RKM – 3/1/2007 – 20/20
Summary1. Hard rock Bellefonte spectrum envelops other
hard rock spectra2. Envelope spectrum uses CAV and revised σ3. Sensitivity results will determine effect of
Vs<9200 fps rock at each site4. Any significant rock amplification for Vs<9200
fps will be integrated into hazard analysis with Approach 4
5. Final envelope spectrum will include any significant rock amplification.