AMEC Design Calculation or Analysis Cover Sheet · AMEC Design Calculation or Analysis Cover Sheet...

AMEC Design Calculation or Analysis Cover Sheet Project: PSEG RAJ Support CalcJAnal)'sh No. AMEC Project No,

0360-RA1-061-4 6468·11-0360 IComjljl1<r Sori., N:IlCllLNII

Title: High- nnd low-frequency horizontal specttil for the PSEG Site alent Contract Sbeet No. I of 15 Purchase Onler l>lsdplilll! Sei.mology

COll1put~r Program: N/A Version I Rel~llse No.: N/A

PUI1l0~C lind Objeethe Quality AS5U)'anccCondltlol)s (~.g. safety

Calculate high-frequency (HF) and low-Frequency (LF) horizontal rock spectrn fOT classification)

rock conditil:ms at the PSEG Site using the base rock seismichnzard calculation (Ret: Safety-related I) and deuggregution of the bose rock seismic hnzllrd cnlc.ulation (Ref. 2), Also generate smooth mean rock UHRS for the 10-1, 10·s, and IO-li mean annuol frequency of exceedence hazard levels that will be ·used for il future .site·response calculation,

Summary of Conduslon:

Final'smooth horizontal high·frequency (HF)nnd low.lTequency (LF) spectrB for the rSEG Sile arc show In Figures I through 3 for 10-4, 10'.$, and 10-6 meDn aonun.l.frequency oJexceedence ha2nrd levels, respectively, nnd listed in TobIe 3.Smoo!h menn reck UHRS for the ler, 10", and HJ·6 menn annunl frequency of exceedcncc hnzllrd levels are shown in Figure 4 lind Iisled in Table 4,

Revision Log

Rev. No. Revision Description

0 Initial Issue

Sign orr

Rev. No. Origlmdor (Print) Verification Method

Verffier (PrInt) Slgnl Dah SIgn lOate

0 Allison Shumway Technicnl review Osman EI Menchawi

.~.&\. - Ill" II~ ~_ /I/U~11 ~ I

-

Additional Reviewer (Plint) SI.!lnllture

,.,dt'liCAi L.tJ Jtl~(iJf,l. .pflnclpal-Pr-9f~tfRnl (I>rint) Sign I Date

J, Allan Tice L

<AiYJblmd.... ,/7/1 -!/

Date

RCN: PSEG2-816 Page 1 of 16

AMEC DESIGN VERIFICATION CHECKLIST

(Excerpted from ANSI N.45.11 [1974 Edition) and ASMENQA·1 [1994 Edition]

Project PSEG RAJ Support :1 AMEC Project No. I Calculation No. I Rev. No. 0

Yes No

~ / V / -/ ,/

/, / /

/

Design Verifier:

Approved by:

. 6468·11·0360 0360.R,AI.061-4

N/A Design Verification Element Note: Anvitems checked "No' automatlcallv ImDlv the desil:ln is not verified.

Is the person .perfonning the design verification qualified to originate .thedocwnent?

Is the design verification being performed by someone other than the supervisor oftlle originator?

Were the design inputs·correctly selected and incorporated into design?

Are assumptions necessary to perform the design activity adequately described and reasonable? Where necessary, are assumptions identified for subsequent re-verifications when the detailed design activities are completed?

Are the appropriate quality and quality assurance requirements specified?

Are the applicable codes, standards and regulatory requirements inCluding issue and addenda proper\v identified and their requirements for design met?

t/' Have applicable construction and operating experiences been considered?

Have the design interface requirements been satisfied?

Were appropriate design methods and computer programs used?

Is the design output reasonable compared to design inputs?

/ Are the specified parts, equipment, .and processes suitable for the required application?

/ Are the specified materials compatible with each other and the design environmental conditions to which the material will be exposed?

/ Have adequate maintenance features and requirements been specified?

/' Are accessibility and other design provisions adequate for performance of needed maintenance and repair?

/' Have adequate accessibility been provided to perform the in-service inspection expected to be required during the plant life?

/ Has the design properly considered radiation exposure to the public and plant personnel?

Are the acceptance criteria incorporated in the design docmnents sufficient to allow verification that design requirements have been satisfactorily accomplished?

/ Have adequate pre-operational and subsequent periodic test requirements been appropriately s.pecified?

/ Have adequate handling, storage, cleaning, and shipping requirements been specified?

/ . . /Are adequate identification requirements specified?

~i Are requirements for record preparation review, acceptance, retention, eto., adequately specified? /')

Osmul\ .E1 Menchawi Signature: A~· Date: !J{jj.l J ALL4...-- !la Signature: ()fJI!{4~~:J,.

;(I .J Date: U/~ ('

RCN: PSEG2·816 Page 2 of 16

2

PROJECT ANALYSIS AND CALCULATION RECORD

Title: High~ and low~freqlie"cy horizotrtal spectra for the PSEG Site

Record No. 2047 -ACR- 070 (cales)

Record No. 2047 -ACR-~(elec. files)

R ev. s tatus D ate D escnptton 0 FINAL 1110712012 Initial Issue

* Approval for release of results

Description of work: 1. Are objectives clearly stated? 2. Are inputs correctly selected, stated, and referenced?

Prep. b )y

Af1~

Rev. b )y

()AE

App.* b )y

rJAr;

Reviewer

3. Are literature searches and background infOlmation completely described?

Initials (JIAE riff dAf

4. Are assumptions completely described and referenced? OAE.: 5. Is an appropriate computer program used for analysis? 6. Are appropriate methods/equations used for hand calculations? -fjf 7. Are the results reasonable, considering the input? 8. Have mathematical checks been made to ensure the accuracy of the results?

rJ4E" OAe (JIM': 9. Have the accuracy and conclusions been confIrmed?

All calculations shall fully describe: 1. Objectives of analysis. 2. Design inputs, sources, and references. 3. Literature searches and background information. 4. Assumptions, basis for assumptions, and references. 5. If computer calculations, program name and version name. 6. Ifhand calculations, equations used and outputs.

3 2047-ACR-070


1. Objectives of analysis

Calculate high-frequency (HF) and low-frequency (LF) horizontal rock spectra for rock conditions at the PSEG Site using the base rock seismic hazard calculation (Ref. 1) and deaggregation of the base rock seismic hazard calculation (Ref. 2). Also generate smooth mean rock Uniform Hazard Response Spectra (UHRS) for the 10-4

, 10-5, and 10-6 mean

annual frequency of exceedence (MAFE) hazard levels that will be used for a future site response calculation.

2. Inputs

Base Rock Seismic Hazard Calculation (no CA V) at the PSEG Site

Mean UHRS amplitudes for the 10-4, 10-5

, and 10-6 MAFE hazard levels at each of the seven spectral frequencies (PGA, 0.5 Hz, 1 Hz, 2.5 Hz, 5 Hz, 10Hz, and 25 Hz) developed from the base rock hazard calculation (no Cumulative Absolute Velocity, CA V) at the PSEG Site (Ref. 1) are presented in Table 1 below.

Deaggregation of 1 0-4, 10-5

, and 10-6 Base Rock Hazard (no CA V) for the PSEG Site

Mean magnitudes and distances of the controlling earthquakes from the deaggregation of the base rock hazard calculation at the PSEG site for LF (1+2.5 Hz) and HF (5+ 10 Hz) (Ref. 2) are presented below in Table 2 below.

Spectral Shapes

Development of spectral shapes follows the guidance in Regulatory Guide 1.208 (Ref. 3), NUREGICR-6728 (Ref. 4), and, at long periods, FEMA 450 (Ref. 5).

Table I.Mean UHRS at the 10-4, 10-5

, and 10-6 MAFE Hazard Levels for the PSEG- Site (Ref. 1)

Mean UHRS (SA in g)

Freq. 10-4 MAFE 10-5 MAFE

0.5 0.0411 0.124 1 0.0563 0.161

2.5 0.114 0.373 5 0.196 0.700

10 0.285 1.07 25 0.411 1.61 100 0.149 0.591

10-6 MAFE

0.289 0.437 1.05 1.92 2.94 4.69 1.65

4 2047-ACR-070


Table 2. HF and LF Controlling Earthquakes at the PSEG Site (Ref. 2)

Structural F

Note: Light-gray cells indicate HF controlling earthquakes and dark-gray cells indicate LF controlling earthquakes. LF spectral shapes are scaled by values in dark gray cells and HF spectral shapes are scaled by values in light gray cells.

3. Literature search and background information

Literature pertinent to this calculation as cited in the text and listed in the reference list was reviewed.

4. Assumptions and basis

No assumptions were made that require later verification.

5. Computer calculations

The only computer program used was Microsoft ExceJTM. The electronic files for the spreadsheets are included in Ref. 6.

6. Hand calculations

METHODOLOGY:

The development of high-frequency (HF) and low-frequency (LF) rock spectral shapes follows the guidelines of Regulatory Guide 1.208 (Ref. 3), NUREG/CR-6728 (Ref. 4) and FEMA Report 450 (Ref. 5).

HF and LF spectra for the 10-4, 10-5, and 10-6 MAFE hazard levels are calculated as

follows:

1. At 38 frequencies between 0.1 and 100 Hz, develop spectral shapes using the following equation (Equation 4-9 in Ref. 4):

(Eq. 1)

wherefis frequency and C] through C9 are defined as functions of magnitude and/or distance (listed in Table 4-3 in Ref. 4, reproduced in Appendix A). Weight the 1- and 2-corner models from Ref. 4 equally. The magnitudes and distances are the mean magnitudes and distances for the HF and LF controlling earthquakes developed in Ref. 2.

5 2047-ACR-070


2. For the 10-4 MAFE hazard level, scale the HF spectral shape, derived from

NUREGICR-6728 (Ref. 4) CEUS rock spectral shapes as a function ofHF controlling magnitude and distance, to the rock UHRS amplitudes at 5, 10, 25,

and 100 Hz (PGA). The NUREGICR-6728 spectral shape defines the HF spectrum between 0.5 and 5 Hz when anchored (scaled) to the UHRS amplitude at 5 Hz. Following guidance for low frequency shapes of design spectra (FEMA 450, Ref. 5), the HF spectrum follows liT scaling below 0.5 Hz and lIr scaling below 0.167 Hz. The PSEG site is located such that h is 6 seconds (0.167 Hz); see Figure 3.3-16 in Ref. 5. Note: T= the fundamental period of the structure (sec) and TL = long-period transition period (sec) shown in Figure 3.3-16 in Ref. 5.

3. F or the 10-5 and 10-6 HF response spectrum, the HF procedure above requires modification, because the HF spectral shape scaled to 5 Hz exceeds the 2.5 Hz UHRS value, and the LF response spectrum should be the dominant value. For this condition, the HF spectral shape, derived from NUREGICR-6728 (Ref. 4) CEUS rock spectral shapes as a function ofHF controlling magnitude and distance, must be scaled to the rock UHRS amplitudes at 2.5, 5, 10, 25 and 100 Hz (PGA). Below 2.5 Hz, the HF spectrum is controlled by the NUREGICR-6728 spectral shape anchored (scaled) to the UHRS amplitude at 2.5 Hz. The HF spectrum follows liT scaling below 0.5 Hz (as in Step 1) and lIr scaling below 0.167 Hz.

4. For each MAFE hazard level, scale the LF spectral shape, derived from NUREGICR-6728 (Ref. 4) CEUS rock spectral shapes as a function ofLF controlling magnitude and distance, to the rock UHRS amplitudes at 0.5, I, and

2.5 Hz. The NUREGICR-6728 spectral shape defines the LF spectrum above 2.5 Hz when anchored (scaled) to the UHRS amplitude at 2.5 Hz. As for the HF spectrum (Steps 1 and 2 above), the LF spectrum follows liT scaling below 0.5 Hz and l/r scaling below 0.167 Hz.

5. For each MAFE hazard level, calculate the smooth rock UHRS as the envelope, or maximum, of the HF and LF spectra at each frequency.

CALCULA TION PROCEDURE:

All calculations are performed in Excel file PSEG _ HF-LF Jock _ spectra.xlsx in Ref. 6. Spectra for the 10-4

, 10-5, and 10-6 MAFE hazard levels are calculated on sheets

PSEG_1E-4, PSEG_1E-5, and PSEG_1E-6, respectively. Mean UHRS for each MAFE hazard level (from Table 1) are imported to cells T2:U9 on the respective worksheets. HF spectra are developed in columns A:J, and LF spectra are developed in columns L:U. Mean magnitudes and distances for the controlling earthquakes (from Table 2) are

6 2047-ACR-070


entered in cells B2:B3 for HF spectra and cells M2:M3 for LF spectra. The calculation is performed as follows for each MAFE hazard level:

1. Coefficients C 1 through C9 for Eq. 1 (I-comer and 2-comer models) are calculated in cells D2:EI0 for HF spectra and cells 02:PI0 for LF spectra following Table 4-3 in Ref. 4. Using Eq. 1, HF spectral shapes are developed in cells D13:E50 and LF spectral shapes are developed in cells 013:P50. The average of the I-comer and 2-comer models is calculated in cells F13:F50 (HF) and cells QI3:Q50 (LF).

2. For the 10-4 MAFE hazard level, the HF spectral shapes are scaled to UHRS amplitudes at 5, 10, 25, and 100 Hz (PGA). Between 0.5 and 5 Hz, the HF spectrum is defined by the HF spectral shape scaled to the UHRS amplitude at 5 Hz. Below 0.5 Hz, the HF spectrum follows liT scaling and below 0.l67 Hz, the HF spectrum follows lIr scaling.

3. For the 10-5 and 10-6 MAFE hazard levels, the HF spectral shapes are scaled to UHRS amplitudes at 2.5, 5, 10, 25, and 100 Hz (PGA). Below 2.5 Hz, the HF spectrum is defined by the HF spectral shape scaled to the UHRS amplitude at 2.5 Hz. Below 0.5 Hz, the HF spectrum follows liT scaling and below 0.167 Hz, the HF spectrum follows lIr scaling.

4. For each MAFE hazard level, the LF spectral shapes are scaled to UHRS amplitudes at 0.5, 1, and 2.5 Hz. Above 2.5 Hz, the LF spectral spectrum is defined by the LF spectral shape scaled to the UHRS amplitudes at 2.5 Hz. Below 0.5 Hz, the LF spectrum follows 1 IT scaling and below 0.167 Hz, the LF spectrum follows lIr scaling.

5. The envelope spectrum (smooth mean rock UHRS) for each MAFE hazard level is calculated in cells W13:W50.

6. Some smoothing of the 10-4 and 10-5 MAFE LF spectrum was applied between 0.6 Hz and 2 Hz to avoid bumps in this frequency range that are apparent ifno smoothing technique is applied.

Final smooth horizontal HF and LF spectra for the PSEG Site are tabulated on sheet HF LF Table in cells A3:G40 and listed in Table 3 below.

SUMMARY OF RESULTS:

Final smooth horizontal HF and LF spectra for the PSEG Site are show in Figures 1 through 3 for 10-4

, 10-5, and 10-6 MAFE hazard levels, respectively, and listed in Table 3

below. Smooth mean rock UHRS for the 10-4, 10-5

, and 10-6 MAFE hazard levels are shown in Figure 4 and listed in Table 4 below.

7 2047-ACR-070


Table 3. Smooth Horizontal HF & LF Rock Spectra for the PSEG Site.

Freq 10-4 MAFE 10-5 MAFE 10-6 MAFE

HF LF HF LF HF LF 100 1.49E-01 1.01 E-01 5.91 E-01 3.08E-01 1.65E+00 8.86E-01

90 1.65E-01 1.09E-01 I 6.53E-01 3.35E-01 I 1.83E+00 9.62E-01

80 1.92E-01 1.25E-01 7.58E-01 3.81 E-01 I 2.13E+00 1.10E+00

70 2.32E-01 1.48E-01 9.18E-01 4.52E-01 2.59E+00 1.30E+00

60 2.85E-01 1.77E-01 1.12E+00 5.41 E-01 3.19E+00 1.55E+00

50 3.39E-01 2.04E-01 1.33E+00 6.25E-01 3.81E+00 1.79E+00

45 3.62E-01 2.15E-01 1.42E+00 6.57E-01 I 4.07E+00 1.89E+00

40 3.81 E-01 2.22E-01 1.50E+00 6.81 E-01 I 4.30E+00 1.96E+00

35 3.96E-01 2.27E-01 1.55E+00 6.96E-01

I 4.48E+00 2.00E+00

30 4.06E-01 2.30E-01 1.59E+00 7.03E-01 4.62E+00 2.02E+00

25 4.11E-01 2.29E-01 1.61E+00 7.03E-01 I 4.69E+00 2.02E+00

20 3.92E-01 2.26E-01 1.52E+00 6.95E-01 I 4.36E+00 1.99E+00

15 3.54E-01 2.19E-01 1.35E+00 6.73E-01 I 3.81 E+OO 1.92E+00

12.5 3.24E-01 2.12E-01 1.23E+00 6.55E-01

I 3.42E+00 1.86E+00

10 2.85E-01 2.02E-01 1.07E+00 6.27E-01 2.94E+00 1.78E+00

9 2.72E-01 1.97E-01 1.01E+00 6.13E-01

I 2.77E+00 1.73E+00

8 2.56E-01 1.91 E-01 9.45E-01 5.95E-01 2.59E+00 1.68E+00

7 2.38E-01 1.83E-01 I 8.71 E-01 5.74E-01 2.39E+00 1.61E+00

6 2.19E-01 1.74E-01 I 7.90E-01 5.48E-01 2.16E+00 1.54E+00

5 1.96E-01 1.63E-01 7.00E-01 5.15E-01 1.92E+00 1.44E+00

4 1.65E-01 1.48E-01 5.80E-01 4.73E-01 1.60E+00 1.32E+00

3 1.30E-01 1.28E-01 4.48E-01 4.13E-01 1.25E+00 1.16E+00

2.5 1.09E-01 1.14E-01 I 3.73E-01 3.73E-01 1.05E+00 1.05E+00

2 8.56E-02 9.72E-02

I 2.95E-01 3.16E-01 8.51 E-01 8.92E-01

1.5 5.98E-02 7.82E-02 2.08E-01 2.47E-01 6.17E-01 6.91 E-01

1.25 4.66E-02 6.70E-02

I 1.63E-01 2.04E-01 4.91 E-01 5.70E-01

1 3.38E-02 5.63E-02 1.18E-01 1.61 E-01 3.62E-01 4.37E-01

0.9 2.89E-02 5.40E-02 1.01 E-01 1.56E-01 3.12E-01 4.18E-01

0.8 2.42E-02 5.19E-02 8.50E-02 1.50E-01 2.64E-01 3.94E-01

0.7 1.97E-02 4.90E-02 6.93E-02 1.42E-01 2.17E-01 3.64E-01

0.6 1.55E-02 4.56E-02 5.45E-02 1.35E-01 1.72E-01 3.29E-01

0.5 I 1.16E-02 4.11 E-02 4.08E-02 1.24E-01 1.30E-01 2.89E-01

0.4 I 9.28E-03 3.29E-02 3.26E-02 9.92E-02 1.04E-01 2.31 E-01

0.3

I 6.96E-03 2.47E-02 2.45E-02 7.44E-02

I 7.81 E-02 1.73E-01

0.2 4.64E-03 1.64E-02 1.63E-02 4.96E-02 5.21 E-02 1.16E-01

0.167 I 3.87E-03 1.37E-02 1.36E-02 4.14E-02

I

4.35E-02 9.65E-02

0.125

I 2.17E-03 7.69E-03 7.63E-03 2.32E-02 2.44E-02 5.41 E-02

0.1 1.39E-03 4.92E-03 4.88E-03 1.49E-02 1.56E-02 3.46E-02

Note: Amplitudes in g. Source: sheet HF_LF_Table in Excel file PSEG_HF-LF Jockspectra.xlsx.

8 2047-ACR-070


DI

r:" ~ !! .. "i u u .. £ u .. c.

IJl

0.1

, ,

,/

,///

1 E-4 Smooth Horizontal Rock Spectra for PSEG Site

" , 0" "

0.01 - ,1-.'--------:/------11-----------+------------1

0.001

I , , ,

0.1 10 100

Frequency, Hz

--High Frequency

- - _ .. Low Frequency

o PSEG 10-4 Mean UHRS

Figure 1. High- and low-frequency 10-4 MAFE smooth horizontal rock spectra for the PSEG Site.

Figure source: sheet PSEG_1E-4 in Excelfile PSEG_HF-LFJick_spectra.xlsx.

9 2047-ACR-070


'" r:;." o

~ ., 0;

" " .. ] " ., Q.

(J)

0.1

1 E-5 Smooth Horizontal Rock Spectra for the PSEG Site

~~

10

Frequency, Hz

" , , ,

-- High Frequency

'... -_ .... '" Low Frequency

100

o PSEG 1 O~5 Mean UHRS

Figure 2. High- and low-frequency 10-5 MAFE smooth horizontal rock spectra for the PSEG Site.

Figure source: sheet PSEG_IE-5 in Excelfile PSEG_HF-LFJick_spectra.xlsx.

10 2047-ACR-070


'" c-o ~ '" Q; u u

'" ~ u

'" c. 00

1 E-G Smooth Horizontal Rock Spectra for the PSEG Site

10

Frequency, Hz

100

--High Frequency

.,. ....... - Low Frequency

o PSEG 10·6 Mean UHRS

Figure 3_ High- and low-frequency 10-6 MAFE smooth horizontal rock spectra for the PSEG Site.

Figure source: sheet PSEG_1E6 in Excelfile PSEG_HF-LFJick_spectra.xlsx.

11 2047-ACR-070


10.

'" 1. C o ., co Q; ] u co

£ u ., Co

Vl 0.1

0.01 0.1

Smooth Mean Rock UHRS for the PSEG Site

- 1E-6UHRS

- 1E-5UHRS

- 1E-4 UHRS

10 100 Frequency, Hz

Figure 4. Smooth mean rock 10-4, 10-5

, and 10-6 MAFE UHRS for the PSEG Site.

Figure source: sheet HF_LF_Table in Exeelfile PSEG_HF-LFJiek_speetra.xlsx.

12 2047-ACR-070


Table 4. Smooth Mean Rock UHRS for the PSEG Site.

Frequency 10-4 UHRS (9) 10-0 UHRS (9) 10-0 UHRS (9)

100 0.149 0.591 1.65

90 0.165 0.653 1.83

80 0.192 0.758 2.13

70 0.232 0.918 2.59

60 0.285 1.12 3.19

50 0.339 1.33 3.81

45 0.362 1.42 4.08

40 0.381 1.50 4.30

35 0.396 1.56 4.48

30 0.406 1.59 4.62

25 0.411 1.61 4.69

20 0.392 1.52 4.36

15 0.354 1.35 3.81

12.5 0.324 1.23 3.42

10 0.285 1.07 2.94

9 0.272 1.01 2.77

8 0.256 0.945 2.59

7 0.238 0.871 2.39

6 0.219 0.790 2.17

5 0.196 0.700 1.92

4 0.165 0.580 1.60

3 0.130 0.448 1.25

2.5 0.114 0.373 1.05

2 0.097 0.316 0.892

1.5 0.0782 0.247 0.691

1.25 0.0670 0.204 0.570

1 0.0563 0.161 0.437

0.9 0.0540 0.156 0.418

0.8 0.0519 0.150 0.394

0.7 0.0490 0.142 0.364

0.6 0.0456 0.135 0.329

0.5 0.0411 0.124 0.289

0.4 0.0329 0.0992 0.231

0.3 0.0247 0.0744 0.173

0.2 0.0164 0.0496 0.116

0.167 0.0137 0.0414 0.0965

0.125 0.00769 0.0232 0.0541

0.1 0.00492 0.0149 0.0346 Note: Source: sheet HF_LF_Table m Excel file PSEG_HF-LF Jock_spectra.xlsx. Values are reported to three significant figures.

13 2047-ACR-070


References

1. AMEC (2012). Base rock hazard calculation (no CA VJ Jor the PSEG Site, AMEC Calc/Analysis No. 0360-RAI-061-2 Rev O.

2. AMEC (2012). Deaggregation oj 10-4,10-5, and 10-6 base rock hazard (no CAVJJor the PSEG Site, AMEC Calc/Analysis No. 0360-RAI-061-3 Rev O.

3. U.S. Nuclear Regulatory Commission (2007). A performance-based approach to define the site-specific earthquake ground motion, Regulatory Guide 1.208.

4. Risk Engineering, Inc. (2002). Technical basis for revision of regulatory guidance on design ground motions: hazard- and risk-consistent ground motion spectra guidelines, US Nuclear Regulatory Commission, Rept. NUREG/CR-6728, October.

5. Building Seismic Safety Council (2004). NEHRP recommended provisions for seismic regulations for new buildings and other structures (FEMA 450) 2003 Edition, FEMA Rept. 450.

6. AMEC (2012). High- and low-frequency horizontal spectraJor the PSEG Site, AMEC Calc/Analysis No. 0360-RAI-061-4 Rev 0 Supplemental Electronic Files.

14 2047-ACR-070


Appendix A

Table 4-3 ofNUREG/CR-6728 (Ref. 4).

Table 4·3 RESPONSE SPECI'RAL SHAPE COEFFICIENTS f{)R 5% DAMPING

t Vi o

C1

~

C;

C4

Cs

C,

C;

C,

<1

WUS

1.8197

0.30163

0.47498f{).034356Mf{).0057204In(R+ 1)

·12.650+M·[2,4796'().14732M f{).0346051n(O.040762R+ 1)J

·0.25746

O.29784tO.010723M·O.OOOO133R

n.a.

n.a.

n.a.

CEUS (lC)*

0.88657

exp(·I0.411 )

2.5099

·7.4408+M[ 1.5220-0. 088588M f{).0073069ln(O.12639R + 1)]

·0.34965

·O,31162t{).0019646R

3.7841

·0.89019

O.39806+O.058832M

Note: Equation (4·8) is used for tbe WUS; equation (4·9) ~ used for the CEUS.

M := moment magnitude R = fault d~tance *1 C = single comer frequency model 2 C = double corner frequency model

15

CEUS (2C)*

0.97697

exp(·9,4827)

2.3006

·12.665+M[2,4869·0.14562M to.024477In(O.041807R+l)]

·0.21002

0.74361 to.0000671R

exp[ ·13.476+M(4.4007·0.31651M to.OOO235R) J

0.95259+M(·O.58275+O.000166R)

·33534+0.44094M

2047-ACR-070


CALCULATION 0360-RAI-061-4 SUPPLEMENTAL ELECTRONIC FILES

ELECTRONIC FILES FOR HIGH AND LOW FREQUENCY HORIZONTAL SPECTRA FOR THE PSEG SITE

Contained in zip file titled "Calc 0360-RAI-061-4 SUPPLEMENTAL ELECTRONIC FILES (2047-ACR-071)"

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