Download pdf - Hard Rock Design Response Spectra at Southeastern US Sites.1. Hard rock Bellefonte spectrum envelops other hard rock spectra 2. Envelope spectrum uses CAV and revised σ 3. Sensitivity

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


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


Ann

ual P

[Exc

eede

nce]

TotalNew MadridCharlestonOthers

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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


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

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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

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Mean 10-4 deaggregation, average of 5 and 10 Hz

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Mean 10-4 deaggregation, average of 1 and 2.5 Hz

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Mean 10-5 deaggregation, average of 5 and 10 Hz

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Mean 10-5 deaggregation, average of 1 and 2.5 Hz

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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

)

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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.