Revision 0 to GEO.HBIP.02.05, 'Development of …Calculation No. GEO.HBIP.02.05 TITLE: Development...

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Unit(s) 0 Structure, System or Component: ISFSI Geotechnical

Type or Purpose of Calculation: Development of HBIP ISFSI Spectrum CompatibleTime Histories

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Calc Number: GEO.HBIP.02.05Revision: 0Date: i I /-i /Calc Pages: I i 7Verification Method: A

TITLE: Development of HBIP ISFSI Spectrum Compatible Time Histories

PREPARED BY:_ _ _ _ .. DATE ___7_______

Norm AbrahamsonPrinted Name

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Calculation No. GEO.HBIP.02.05

TITLE: Development of HBIP ISFSI Spectrum Compatible Time Histories

Rev. Reason for Revision Revision

No. Date

00 Initial Issue 11/27/02

Calc Number: GEO.HBIP.02.05Rev Number: 0

Sheet Number: I of 187Date: 11/24/02

2. PURPOSE

The purpose of this calculation is to develop 4 sets of 3-component spectrum compatibletime histories for the HBIP to meet the requirements given in the Work Plan (GEO HBIP2002-02, Rev 0).

3. ASSUMPTIONS

3.1 Spectral Period Extrapolation to 10.0 secondSome of the subsource response spectra developed in calculations GEO.HBIP.02.04 aredefined between the period range of 0.01 seconds (i.e., PGA) and 3.0 to 4.0 seconds. Forperiods greater than 3.0 to 4.0 seconds, the spectra were extrapolated based on a constantspectral slope in psuedo-spectral velocity.

The basis for this assumption is that it is slightly conservative. At long periods, thespectra typically exhibit a decreasing slope as a function of period in the period range of4 to 10 seconds. Therefore, using a constant slope leads to some conservatism in the longperiods range.

3.2 Little Salmon Fault Input Time HistoriesFour recorded strong ground motion sets (three components each) listed in Table 3-1 areassumed to be representative of the ground motion from a large magnitude reversemechanism earthquake at short distances. Digital records of these ground motions areavailable from Pacific Earthquake Engineering Research Center (PEER) strong motiondatabase at http://peer.berkeley.edu/smcat/).

The basis for this assumption is that these empirical time histories have similarmagnitude, distance, and mechanism to the Little Salmon fault (LSF) subsource (seeTable 4-1).

Table 3-1. Input time histories used for the Little Salmon fault spectral matching.

Earthquake Magnitude Station Distance (km) Mechanism09/16/8 Tabas 7.4 Tabas 3.0 Reverse09/20/99 Chi-Chi 7.6 TCU052 0.2 Reverse09/20/99 Chi-Chi 7.6 TCU068 1.1 Reverse09/20/99 Chi-Chi 7.6 TCU102 1 .8 Reverse


Sheet Number: 2 of 187Date: 1 1/24/02

3.3 Cascadia Interface Event Time HistoriesTwo recorded strong ground motion sets (three components each) were selected for thespectral matching to the Cascadia interface event target spectra. These empirical timehistories were selected based on the magnitude, distance, and fault mechanism of therecorded events in relation to the parameters for the Cascadia Interface event. The twoselected sets of time histories are listed below in Table 3-2.

The basis for this assumption is that these empirical time histories are from largesubduction zone earthquakes. Recordings from larger magnitude earthquakes are notavailable. Digital records of these motions are available from the Consortium ofOrganizations for Strong-Motion Observation Systems (COSMOS) virtual data center athttp:H/db.cosmos-eq.org.

Table 3-2. Input time histories used for the Cascadia interface event spectral matching.

Magnitude DistanceEarthquake (Ms) Station (km) Mechanism

09/19/85 Michoacan, 8.1 La Union 27.3 InterfaceMexico

03/03/85 Valpariso, 7.8 Vina Del Mar 31.9 InterfaceChile

3.4 Relative Timing for Synchronous Rupture Time Histories.For the synchronous rupture time histories the spectrum compatible time histories fromthe Little Salmon fault (LSF) event and the Cascadia interface event are added together.The timing of these time histories is assumed to corresponding to two different cases in

* rupture initiation locations. For the first case, the location of the initiation of rupture(hypocenter)on the Cascadia interface fault is assumed to be located near the southernend of the fault plane resulting in smaller time shift between the two events and thusplace the initiation of LSF event near the first part of the Cascadia interface event. For theother case, the hypocenter is assumed to be at the northern end of the Cascadiasubduction fault plane and thus place the LSF subevent toward the latter part of theCascadia interface strong shaking. These two hypocenter scenarios capture the potentialvariation of the location of the initiation point of rupture. Conservatism in thesynchronous ground motion is maintained by requiring that the LSF subsource occurduring strong shaking from the Cascadia subsource.

3.5 Timing of the FlingThe fling is assumed to arrive at the time of the beginning of the large velocity. The basisfor this assumption is that it is conservative because it maximizes the constructiveinterference between the fling ground motion due to permanent displacement and theshaking due to transient displacement.



3.6 Period of FlingThe period of the fling is assumed to be the same as station TCU068 during the 1999Chi-Chi earthquake. The basis for this assumption is that the magnitude of the Chi-Chiearthquake (M7.6) and the amplitude of the slip at TCU068 (8.4m) are similar to the LSFsubsource (M=7.7, slip=8 m, see calculation HBIP.GEO.02.03)

3.7 Amplitude of the FlingFor strike slip-faults (e.g. calculation GEO.DCPP.01.12), the amplitude of the fling wasassumed to be equal on the two sides of the fault. For dip-slip faults, this assumption isnot valid. The fraction of the fault slip that occurs on the hanging wall side is assumed tobe represented by the observations from the 1999 Chi-Chi earthquake. Specifically, theratio of the tectonic deformations at station TCU052 (hanging wall site) and TCU049(footwall site) is assumed to be representative of the ratio of the amplitude of the fling forHBIP. The fraction of the total slip on the fault which is observed on the hanging wall isgiven by that ratio of the tectonic deformation at TCU052 divided by the sum of thetectonic deformation at stations TCU052 and TCU049.

The basis for this assumption is that stations TCU049 and TC052 are located at similarlocations, close to the fault rupture, but on opposite sites of the fault from a large thrustevent. The ratio of their tectonic deformations should be similar to that of other largedip-slip earthquakes.

3.8 Modified Envelope Requirements for Spectral MatchingIn SRP 3.7.1 (US NRC, 1989), a spectrum is considered to envelop a target spectrum ifthere the spectral values at not more than 5 of the recommended 75 frequencies fallbelow the target spectrum and no points fall below 0.9 times the target spectrum. Asdiscussed in section 5.1, for this calculation, an additional 29 frequencies are considered.For the 104 frequencies used here, the number of points that allowed to fall below thetarget is conservatively maintained at 5.


Sheet Number: 4 of 187Date: 1/24/02

4. DESIGN INPUTS

4.1 Subsource Event ParametersAs described in GEO.HBIP.02.04, two seismic sources are considered in developing thedeterministic ground motions: the Little Salmon fault and the Cascadia interface. Themean magnitudes and distances for the two sources based on the Carver model are takenfrom GEO.HBIP.02.04 (Tables 4-1 and 4-2). These values are listed in Table 4-1 below.

Table 4-1. Source parameters for deterministic events for the Little Salmon fault and theCascadia interface subsources (from GEO.HBIP.02.04, Tables 4-1, and 4-2).

Little Salmon Cascadiafault zone interface

Magnitude 7.7 8.8Rupture Distance (ki) 0.0 7.0Mechanism Reverse InterfaceSlip (m), 7.0 - 9.3Dip (degreesy 40 - 50 _

Slip values taken from GEO.HBIP.02.03, Section 4.3.42Dip values taken from GEO.HBIP.02.03, Section 4.3.2

4.2 Response Spectra for SubsourcesCalculation GEO.HBIP.02.04 developed response spectra for the synchronous rupturecase. As intermediate steps in the development of the synchronous rupture spectra,spectra were developed for the individual subsources for the following cases:

LSF subsource horizontal rock spectraLSF subsource vertical soil spectraCascadia subsource horizontal soil spectraCascadia subsource vertical soil spectra

These spectra (from Calculation GEO.HBIP.02.04) are listed in Tables 4-2 to 4-4.



Table 4-2. Rock acceleration response spectra for the LSF subsource. (from Tables 7-10and 7-11 in GEO.HBIP.02.04 Rev 0).

#1 #2Little Salmon Little Salmon

fault Rock fault RockPeriod Fault Normal Fault Parallel(sec) Sa(g) Sa(g)0.000 1.509 1.5090.020 1.509 1.5090.030 1.535 1.5350.050 1.976 1.9760.075 2.465 2.4650.100 2.868 2.8680.150 3.587 3.5870.200 3.896 3.8960.300 3.667 3.6670.500 2.854 2.8540.750 2.167 1.9181.000 1.860 1.5101.500 1.400 0.8992.000 1.111 0.6013.000 0.839 0.3024.000 0.669 0.1805.000 0.516 0.1327.000 0.317 0.08110.000 0.191 0.049



Table 4-3. Horizontal spectral acceleration on soil for the Cascadia interface event (fromTable 7-23 in calculation GEO.HBIP.02.04 Rev 0).

Period 84h Percentile(sec) Spectral Ace (g)0.000 0.8520.075 1.2140.100 1.3640.200 1.8900.300 1.8970.400 1.6990.500 1.5600.750 1.2461.000 0.9781.500 0.6292.000 0.470

3.000 0.2954.000 0.173



Table 4-4. Vertical soil acceleration response spectra for the LSF and Cascadia interfacesubsources. (from Table 7-27 in GEO.HBIP.02.04 Rev 0).

#1 #2Cascadia Interface

Little Salmon fault Event,Period Vertical, Soil Vertical, Soil(sec) SA (g) SA(g)0.000 1.302 1.0510.020 1.302 1.0510.030 1.832 1.4380.050 2.802 2.1020.075 3.225 2.8420.100 3.114 2.6300.120 2.962 2.3040.150 2.689 1.9600.170 2.564 1.7900.200 2.338 1.5910.240 2.120 1.3050.300 1.828 1.0240.400 1.547 0.7370.500 1.335 0.5710.750 1.097 0.3831.000 0.865 0.2791.500 0.564 0.1712.000 0.421 0.1383.000 0.281 0.1024.000 0.211 0.0715.000 0.169 0.0547.000 0.120 0.03510.000 0.084 0.022



4.3 Spectra for Synchronous RuptureThe horizontal and vertical deterministic design response for synchronous rupture at 2%,4%, 5%, and 7% damping are listed in Tables 4-5, 4-6, and 4-7 for the fault normal, faultparallel, and vertical components, respectively.

Table 4-5. 84th percentile design spectra for the Fault Normal Component (from Table 8-1 in calculation GEO.HBIP.02.04).

Period 2% spectral 4% spectral 5% spectral 7% spectral(sec) damping damping damping damping0.000 1.316 1.316 1.316 1.3160.020 1.316 1.316 1.316 1.3160.030 1.415 1.370 1.351 1.3240.050 1.608 1.489 1.441 1.3730.075 1.888 1.689 1.612 1.5020.100 2.207 1.928 1.821 1.6720.150 2.796 2.380 2.224 2.0100.200 3.192 2.699 2.515 2.2640.300 4.568 3.863 3.600 3.2400.640 4.568 3.863 3.600 3.2400.750 4.568 3.863 3.600 3.2401.000 4.576 3.866 3.600 3.2361.500 4.568 3.863 3.600 3.2401.700 4.434 3.754 3.502 3.1522.000 3.792 3.216 3.000 2.7032.400 3.020 2.570 2.400 2.1673.000 2.565 2.191 2.050 1.8554.000 1.857 1.598 1.500 1.3655.000 1.225 1.062 1.000 0.9147.000 0.564 0.489 0.460 0.420

10.000 0.312 0.271 0.255 0.233



Table 4-6. 8 4th percentile design spectra for the Fault Parallel Component (from Table 8-2 in calculation GEO.HBIP.02.04).

Period 2% spectral 4% spectral 5% spectral 7% spectral(sec) damping damping damping damping

0.000 1.316 1.316 1.316 1.3160.020 1.316 1.316 1.316 1.3160.030 1.415 1.370 1.351 1.3240.050 1.608 1.489 1.441 1.3730.075 1.888 1.689 1.612 1.5020.100 2.207 1.928 1.821 1.6720.150 2.796 2.380 2.224 2.0100.200 3.192 2.699 2.515 2.2640.300 4.552 3.849 3.587 3.2280.640 4.114 3.479 3.242 2.9180.750 3.934 3.326 3.100 2.7901.000 3.559 3.007 2.800 2.5171.500 3.122 2.640 2.460 2.2141.700 2.784 2.357 2.199 1.9792.000 2.275 1.930 1.800 1.6222.400 1.510 1.285 1.200 1.0833.000 1.001 0.855 0.800 0.7244.000 0.557 0.479 0.450 0.4105.000 0.331 0.287 0.270 0.2477.000 0.159 0.138 0.130 0.11910.000 0.085 0.073 0.069 0.063



Component (from Table 8-3 inTable 4-7. 84th percentile design spectra for the Verticalcalculation GEO.HBIP.02.04).

Period 2% spectral 4% spectral 5% spectral 7% spectral(sec) damping damping damping damping0.000 1.673 1.673 1.673 1.6730.020 1.673 1.673 1.673 1.6730.030 2.634 2.415 2.329 2.2090.050 4.309 3.724 3.503 3.2050.075 5.513 4.625 4.299 3.8640.100 5.403 4.428 4.076 3.6120.120 5.011 4.086 3.753 3.3160.150 4.462 3.628 3.328 2.9350.170 4.183 3.407 3.127 2.7600.200 3.756 3.074 2.828 2.5040.240 3.285 2.701 2.489 2.2100.300 2.752 2.270 2.095 1.8640.400 2.251 1.857 1.714 1.5250.500 1.907 1.573 1.452 1.2920.750 1.526 1.259 1.162 1.0341.000 1.196 0.985 0.909 0.8081.500 0.773 0.638 0.589 0.5242.000 0.578 0.479 0.443 0.3953.000 0.385 0.322 0.299 0.2684.000 0.283 0.239 0.223 0.2015.000 0.222 0.189 0.177 0.1617.000 0.157 0.134 0.125 0.11410.000 0.109 0.093 0.087 0.079



4.4 Site-Specific Amplification FactorsThe development of the site-specific soil amplification factors is discussed inGEO.HBIP.02.06. Three sets of amplification factors were developed based on the threesoil profiles (median, lower bound, and upper bound). The average soil amplificationfactors for an input PGA of 1.4g and 1.6 g are taken from Table 8-1 of GEO.HBIP.02.06for the median, lower bound, and upper bound soil profiles and are listed in Table 4-8.

Table 4-8. Average amplification factors (From Table 8-1 in CalculationGEO.HBIP.02.06 Rev 0)

Period Median Lower Bound Upper Bound(sec) 1.4g 1.6g 1.4g 1.6g 1.4g 1.6g0.010 0.693 0.608 0.410 0.383 0.846 0.8130.030 0.701 0.615 0.414 0.387 0.856 0.8220.050 0.495 0.434 0.292 0.273 0.605 0.5810.075 0.402 0.352 0.236 0.221 0.494 0.4730.100 0.372 0.324 0.215 0.201 0.483 0.4440.150 0.333 0.292 0.196 0.182 0.497 0.4350.200 0.445 0.376 0.226 0.193 0.705 0.6020.300 0.663 0.563 0.382 0.325 1.041 0.9240.420 1.070 0.940 0.574 0.481 1.002 1.0110.500 0.982 0.882 0.770 0.677 1.002 0.9480.600 1.014 0.900 0.839 0.811 1.361 1.2580.640 1.043 0.885 0.749 0.734 1.414 1.3420.750 1.225 1.053 0.727 0.678 1.457 1.4160.860 1.354 1.214 0.842 0.766 1.401 1.3681.000 1.346 1.262 0.935 0.823 1.543 1.4681.200 1.469 1.342 1.178 1.117 2.026 1.9031.450 1.765 1.580 1.232 1.181 2.533 2.4191.700 2.098 1.904 1.385 1.309 2.687 2.6812.200 2.411 2.381 1.918 1.809 2.130 2.1942.600 2.261 2.305 2.201 2.083 1.816 1.8933.200 1.830 1.922 2.324 2.373 1.576 1.6053.500 1.872 1.926 2.247 2.324 1.579 1.6224.100 1.620 1.692 2.022 2.102 1.357 1.3844.300 1.469 1.521 1.821 1.915 1.222 1.2505.400 1.411 1.451 1.671 1.724 1.221 1.2506.200 1.296 1.322 1.454 1.484 1.201 1.2117.800 1.193 1.209 1.319 1.351 1.157 1.16510.000 1.248 1.258 1.321 1.330 1.154 1.174



4.5 Empirical Constraints on the Spectral ShapeCalculation GEO.HBIP.02.04 also included an empirical constraint on the short periodspectral shape (developed in GEO.HBIP.02.06). The empirical constraints on thespectral shape are given in Table 4-9.

Table 4-9. Average Horizontal Spectral Shape Based on Northridge Strong MotionRecordings (From Table 8-2 in calculation GEO.HBIP.02.06 Rev 0).

Period Average Spectral Shape(sec) (Salpga)0.010 1.0000.020 1.0000.030 1.0160.050 1.0950.075 1.2250.100 1.3840.150 1.6900.200 1.9110.300 2.3680.500 1.9800.750 2.0491.000 1.6821.500 1.0362.000 0.7653.000 0.4514.000 0.208



4.6 NRC Recommended Frequencies for Spectral MatchingThe NRC recommended frequencies are taken from Table 3.7.1-1 of SRP 3.7.1.

Table 4-10. NRC recommended Frequency Sampling for the target spectrum (From SRP3.7.1).

Frequency Range Increment(Hz) (Hz)

0.2 - 3.0 0.103.0 - 3.6 0.153.6- 5.0 0.205.0 - 8.0 0.258.0- 15.0 0.5015.0- 18.0 1.0018.0 - 22.0 2.0022.0 - 34.0 3.00

4.7 Definition of Envelop of a spectrumIn SRP 3.7.1, the spectrum of a time history "envelops" a spectrum if the flowingconditions are met:

No more than 5 points may fall below the target spectrumNo points may fall more than 10% below the target spectrum

4.8 Statistical Independence of time historiesEach set of 3-component time histories shall be statistically independent. To meet thiscriterion, the absolute value of the correlation coefficient of the three acceleration timehistories shall be less than 0.3 (ASCE 4-86)

4.9 Spectral Matching CriteriaIf multiple time histories are used (option 2 in SRP 3.7.1), the requirement (page 7 inSRP 3.7.1) for spectral matching are:

At least 4 sets of time histories are required.

The average of the spectra from the multiple time histories must envelop thedesign spectrum. The spectra from the individual time histories need not envelopthe design spectrum by themselves.

There is no PSD requirement given if multiple time histories are used.


Sheet Number: 14 of 187Date: I 1/24/02

4.10 Fling ParametersThe fling from the 1999 Chi-Chi earthquake was evaluated as part of calculationGEO.DCPP.01.012. For station TCU068N, the amplitude of the fling was 843.5 cm andthe time duration (straight line) of the fling was 3.7 sec (see Table 6-6 inGEO.DCPP.01.012). For site TCU052-150, the amplitude of the fling was 838.7 cm andthe duration of the fling was 4.4 sec. For LSF, we used the shorter 3.7 sec, which wouldproduce a larger amplitude of the fling in acceleration than if we used 4.4 sec.

Calculation GEO.DCPP.01.12 also gives a scale factor to compute the period of the fling(Tfling in eq. 5-6) from the straight-line time duration. This factor is 1.78(GEO.DCPP.0 1.12, page 44)

Table 4-11. Fling Parameters from the 1999 Chi-Chi earthquake (from Table 6-6 inGEO.DCPP.01.12).

Station Fling Amplitude (cm) Time Duration (see)TCU068 N 843.5 3.7

TCU052 - 150 838.7 4.4TCU052 - 060 33.1

TCU049 N 41.2TCU049 E 65.7



5. METHODS

The design earthquake is a synchronous rupture of the Little Salmon fault zone and theCascadia interface (GEO.HBIP.02.04 rev 0). The approach used to develop time historiesfor the synchronous rupture is to first develop spectrum compatible time histories for theindividual sub-sources (e.g. Little Salmon and Cascadia) for soil site conditions. The timehistories for the individual subsources are then added together in the time domain and thecombined time histories are then rematched to the spectrum for the synchronous rupture.Finally, the fling is added to spectrum compatible time histories for the fault normal andvertical components

In calculation GEO.HBIP.02.04, rock spectra were developed for the individualsubsources and soil spectra were developed for the synchronous rupture. For thedevelopment of the time histories, soil spectra for the individual subsources need to bedeveloped, and then spectrum compatible time histories are developed.

The detailed steps in the approach to the development of the time histories are givenbelow.

5.1 Extend NRC frequencies for spectral matchingAdditional frequency values were added to the suite of NRC frequencies (see Section 4.6)for the spectral matching procedure. The suite of NRC frequency values were augmentedfor frequencies less than 1.0 Hz and greater than 34 Hz. The refined frequency samplingis given below in Table 5-1.

Table 5-1. Augmented NRC frequency sampling used in the spectral matching.

Frequency Range (Hz) Increment (Hz)0.10 - 0.30 0.020.30 - 1.00 0.051.00 - 3.00 0.103.00 - 3.60 0.153.60 - 5.00 0.205.00 - 8.00 0.258.00 - 15.00 0.50

15.00 - 18.00 1.0018.00 - 22.00 2.0022.00 - 34.00 3.00

40.00 - 100.00 5.00

5.2 Spectra for Little Salmon Fault SubsourceIn calculation GEO.HBIP.02.04, spectra were developed for the LSF subsource for rocksite conditions for the horizontal components and for soil site conditions for the vertical



component. Therefore, the horizontal soil site spectra need to be developed using thesite-specific amplification factors.

The development the soil spectra for the LSF subsource uses the following steps:

1. Estimate the HBIP site-specific amplification factors for the LSF subsource byinterpolating the amplification factors based on the horizontal rock PGA forthe LSF subsource.

2. Scale the fault normal and fault parallel components rock 5% damped spectrafor the LSF subsource by the interpolated amplification factor from step 1.

3. Apply the high frequency spectral shape constraint to the 5% damped soilspectra from step 2.

4. Smooth the 5% damped soil spectra for fault normal and fault parallelcomponents.

5. Interpolate the 5% damped horizontal and vertical soil spectra to the extendedNRC frequencies (from 5.1 above)

5.3 Spectra for Cascadia Interface SubsourceIn calculation GEO.HBIP.02.04, spectra were developed for the Cascadia subsource forsoil site conditions for both the horizontal and vertical components, but the horizontalspectrum had not been extrapolated from 4 to 10 seconds. Therefore, the horizontal soilsite spectra do not need to be developed, as was the case for the LSF subsource.

The development the soil spectra for the Cascadia interface subsource uses the followingsteps:

1. The 5% damped horizontal soil spectrum for the Cascadia subsource isextrapolated to a period of 10 seconds.

2. Interpolate the 5% damped horizontal and vertical soil spectra to the extendedNRC frequencies (from 5.1 above)

5.4 Spectra for Synchronous RuptureThe soil spectra for synchronous rupture were developed in GEO.HBIP.02.04 formultiple damping values. The only modification needed is to interpolate the spectralvalues to the extended NRC frequencies for use in the spectral matching.

The development the soil spectra for the synchronous rupture used the following step:

1. Interpolate the horizontal and vertical soil spectra to the extended NRCfrequencies (from 5.1 above)



5.5 Time Histories for the LSF SubsourceThe program RSPMATCH is used to modify the time histories listed in Table 3-1 tomatch the LSF target spectra. The time histories for the LSF subsource will be combinedwith the time histories for the Cascadia subsource and rematched to the final designspectrum for the synchronous rupture. Therefore, the spectral matching for thesubsources are not required to meet the numerical matching criteria given in SRP 3.7.1.For the same reason, the matching for just the LSF subsource is only evaluated for 5%spectral damping.

The development of the time histories for the LSF subsource used the following steps:

1. Four sets of initial time histories are selected (see Table 3-1). The selectionprocess considered magnitude, distance to fault, duration, and fault normaldisplacement pulse characteristics. This selection is subjected to peer review.

2. Permanent tectonic displacements are removed from the time histories ifneeded to obtain the transient portions of the ground motions (e.g., withoutfling).

3. For each of the four sets, the 3-component time histories are modified tomatch the target spectra at 5% spectral damping using the programRSPMATCH. The modified time histories are subjected to peer review todetermine that the non-stationary characteristics of the modified time historiesare appropriate.

5.6 Time Histories for the Cascadia Interface SubsourceThe program RSPMATCH is used to modify. the time histories listed in Table 3-2 tomatch the Cascadia interface target spectra. The time histories for the Cascadia interfacesubsource will be combined with the time histories for the LSF subsource and rematchedto the final design spectrum for the synchronous rupture. Therefore, the spectral matchingfor the subsources are not required to meet the numerical matching criteria given in SRP3.7.1. For the same reason, the matching for just the Cascadia interface subsource is onlyevaluated for 5% spectral damping.

The development of the time histories for the Cascadia interface subsource used thefollowing steps:

1. Two sets of initial time histories are selected (see Table 3-2). The selectionprocess considered magnitude, distance to fault, and duration characteristics.This selection is subjected to peer review.

2. For each set, the 3-component time histories are modified to match the targetspectra at 5% spectral damping using the program RSPMATCH. Themodified time histories are subjected to peer review to determine that the non-stationary characteristics of the modified time histories are appropriate.


Sheet Number: 18 of 187Date: 1 1/24102

5.7 Time Histories for Synchronous RuptureThe program RSPMATCH is used to modify the synchronous rupture time histories tomatch the synchronous rupture target spectra.

The development of the synchronous rupture time histories used the following steps:

1. The time shift of the ground motions from the LSF subsource and Cascadiainterface subsource are developed.

2. The time histories from the LSF subsource and the Cascadia interfacesubsource are combined in the time domain using the relative time shift fromstep 1.

3. For each set, the 3-component combined time histories are modified to matchthe target spectra at 5% spectral damping using the program RSPMATCH.The modified time histories are subjected to peer review to determine that thenon-stationary characterists of the modified time histories are appropriate.

4. The average of the response spectral values is determined at spectral dampingvalues of 4%, 5%, and 7%.

5. The average spectrum is compared to the target spectrum at spectral dampingvalues of 4%, 5%, and 7% to determine if the spectrum envelops the targetspectrum at all damping values for each component.

5.8 Add Fling to Time HistoriesThe fling component of ground motion is added to the fault normal and vertical timehistories.

The development of adding the fling component of ground motion to the time historiesused the following steps:

1. Determine the fling arrival time t, and transient motion polarity. Anapproximate arrival time of the S-wave is determined from the spectrum timehistories due to transient displacements. The fling should arrive between the Pand S waves. The arrival time of the fling (t1) and the polarity of the transientmotion are selected such that the fling velocity will constructively interferewith the velocity from the transient displacement.

2. Given tI from step 1, and the fling parameters (see section 4.10 andGEO.DCPP.01.012), the fling time history is computed using eq. (5-6).

3. Using the fling time history from step 2, the spectrum compatible synchronousrupture transient ground motion from 5.7, and the polarity for constructive



interference from step 1, the total fault normal and vertical time histories arecomputed using eq. (5-7). Since the polarity of the transient motion is selectedsuch that the fling will constructively interfere with the S-waves, the polarityof the recorded ground motion is not considered. This is conservative since italways results in constructive interference.

4. Using the total fault normal and vertical time histories from step 3, theresponse spectrum is computed using the program SPCTRL.

5. The average spectrum (with fling) is compared to the target spectrum atspectral damping values of 4%, 5%, and 7% to determine if the spectrumenvelops the target spectrum at all damping values for each componentseparately.

5.9 Compute Time Histories Cross-CorrelationsThe cross-correlations of the final modified time histories are computed and checkedagainst the requirements defined in ASCE 4-86.

The cross correlations are computed based on the following steps:

1. The cross-correlation of the 3-components acceleration time histories for eachset is computed and checked that it is below 0.3 as required per ASCE 4-86.

5.10 Equations

5.10.1 Equation for log-log interpolation/extrapolation of response spectraThe interpolation or extrapolation of the response spectral values is done using linearinterpolation on the log spectral acceleration - log period. Given the spectral values Saland Sa2 at periods T, and T2 , respectively, then using linear interpolation on the log-logvalues, the spectral acceleration at period T is given by

ln(Sa(T)) = In(Sa(T1)) + On(T) - ln(Tl)) In(Sa(T2)) - ln(Sa(T)) (5-1)(~n(T) ln(Tj)) [ln(T2 ) - In(TI)

5.10.2 Equation for log-log interpolation amplification factorsThe interpolation of the amplification factors is done using linear interpolation on the logspectral amplification - log PGA. Given the amplification values Al and A2 at PGAvalues of PGAI and PGA2 , respectively, then using linear interpolation on the log-logvalues, the amplification at peak acceleration PGA3 is given by

Calc Number:-GEO.HBIP.02.05Rev Number: 0


ln(A) = ln(A,) + (In(PGA3) - In(PGA)) ln(A2) - ln(A,) (5-2)(ln(PA3 ) n(PG 1 )) ln(PGA,) - ln(PGAM)

5.10.3 Converting Spectral Acceleration to Psuedo-Spectral velocity response spectrumA spectral acceleration response spectrum can be converted to a pseudo-spectral velocity(PSV) response spectrum based on the following equation (Hudson, 1979, page 60):

PSV(cms) = T *Sa(g) (980.5 cm/s(

where, PSV is in units of cm./sec, Sa is in units of g, and T is the spectral period inseconds. The inverse conversion from PSV to Sa is given by solving eq. 5-3 for Sa:

PSV *2rr( gSa(g) = T 9O. (5-4)

Sa~g) = T (980.5 cm/s)

5.10.4 Cross-correlationThe absolute value of the cross-correlation of two time series, x(t) and y(t), is given by(Kanasewich, 1981, page 84)

Cross Correlation= I x(t,)y,) (5-5)

5.10.5 Equation for the Fling in AccelerationUsing assumption 3.2 in Section 5.2.4 of Calculation GEO.DCPP.01.12, the flingacceleration time history is a sine wave when the time falls between ti and t1 + Tfling,

where tj is the arrival time of the fling and Tfling is the duration of the fling. Therefore,the equation for the fling in acceleration is

Accfling(t) = 0 for t< t<

Accfning(t) = A sin(wo(t- t1)) for ti < t < ti + Tfling (5-6)

Accfling(t) = 0 for tI+ Tfling < t



where to = 27t / Tfling.

5.10.6 Time History with FlingThe total fault parallel and vertical time histories are computed by adding the fling timehistory to the respective fault parallel and vertical time histories due to transientdisplacement with the polarity of the transient ground motion changed to result inconstructive interference.

Acc(t) = polarity x Acctran(t) + Accfling(t) (5-7)

5.10.7 Equation for the Fling Amplitude in AccelerationThe relations between the amplitude of the fling (A) in acceleration and the amplitude ofthe fault displacement (Dsitc)is given by

A(cm/s2 ) D= ,2 (5-8)fling

(from calculation GEO.DCPP.01. 12, eq 5-21 where Dsit, is the fault displacement at thesite)

6. SOFTWARE

The computer program RSPMATCH was used to perform the spectral matchingcalculations. This use of this program has been validated in calculationGEO.DCPP.02.02. There are two restrictions to the use of the program. First, theresponse spectra of the modified time histories needs to be recomputed using a verifiedprogram, and the time histories need to be peer reviewed in terms of the non-stationarycharacter of the Waveforms. In compliance to these restrictions, the waveforms of thegenerated time histories were peer reviewed by Paul Somerville and spectral values of thegenerated time histories were calculated using the verified SPCTLR program(GEO.DCPP.01.32).

The response spectra of the final modified time histories were computed using theprogram SPCTLR. The use of this program has been validated in calculationGEO.DCPP.01.32.



7. BODY OF CALCULATIONS

7.1 Estimation of the target spectrum at the augmented NRC frequencies.The NRC recommended 75 frequencies for spectral matching (see Section 4.6). Thesefrequencies were focused on high and moderate frequencies. Since the ISFSI work isconcerned with low frequencies, a finer sampling of frequencies is used for frequenciesless than 1.0 Hz. In addition, the sampling at very high frequencies (>40 Hz) is expanded.The resulting frequency sampling is listed in Table 7-1.

Table 7-1. Augmented Frequency Sampling for Spectral Matching.

Frequency Range (Hz) Increment (Hz)0.10 - 0.30 0.020.30 - 1.00 0.051.00 - 3.00 0.103.00 - 3.60 0.153.60 - 5.00 0.205.00- 8.00 0.258.00- 15.00 0.5015.00- 18.00 1.0018.00 - 22.00 2.0022.00 - 34.00 3.00

40.00 - 100.00 5.00

7.2 Spectra for Little Salmon Fault Subsource

7.2.1 Step 1: Interpolate Soil Amplification factors -

The peak acceleration of the LSF subsource on rock is 1.509g (Table 4-2). The soilamplification factors given in Table 4-5 were interpolated for an input PGA value of1.509 g using on eq. (5-2). The interpolated values are listed in Table 7-2.

These amplification factors were also interpolated (using eq. (5-1)) to the set of spectralperiods that the horizontal rock target spectra are defined at (e.g., see Table 4-2). Theamplification factors at a spectral period of 0.02 sec was set equal to the amplificationfactors at a spectral period of 0.01 sec. The interpolated values are listed below in Table7-3 for each of the three soil profiles.

. Calc Number: GEO.HBIP.02.05Rev Number: 0


Table 7-2. Interpolated amplification factors to an input PGA of 1.509g.

Median Lower Bound Upper BoundPeriod #1 #2 #3 #4 #5 #6 #7 #8 #9

(sec) 1.4g 1.6g 1.509g 1.4g 1.6g 1.509g 1.4g 1.6g 1.509g0.010 0.693 0.608 0.644 0.410 0.383 0.395 0.846 0.813 0.8270.030 0.701 0.615 0.651 0.414 0.387 0.399 0.856 0.822 0.8370.050 0.495 0.434 0.460 0.292 0.273 0.281 0.605 0.581 0.5910.075 0.402 0.352 0.373 0.236 0.221 0.227 0.494 0.473 0.4820.100 0.372 0.324 0.344 0.215 0.201 0.207 0.483 0.444 0.4610.150 0.333 0.292 0.309 0.196 0.182 0.188 0.497 0.435 0.4610.200 0.445 0.376 0.405 0.226 0.193 0.207 0.705 0.602 0.6450.300 0.663 0.563 0.605 0.382 0.325 0.349 1.041 0.924 0.9740.420 1.070 0.940 0.995 0.574 0.481 0.520 1.002 1.011 1.0070.500 0.982 0.882 0.925 0.770 0.677 0.716 1.002 0.948 0.9710.600 1.014 0.900 0.948 0.839 0.811 0.823 1.361 1.258 1.3020.640 1.043 0.885 0.951 0.749 0.734 0.741 1.414 1.342 1.3730.750 1.225 1.053 1.125 0.727 0.678 0.699 1.457 1.416 1.4340.860 1.354 1.214 1.274 0.842 0.766 0.798 1.401 1.368 1.3821.000 1.346 1.262 1.298 0.935 0.823 0.870 1.543 1.468 1.5001.200 1.469 1.342 1.396 1.178 1.117 1.143 2.026 1.903 1.9561.450 1.765 1.580 1.659 1.232 1.181 1.203 2.533 2.419 2.4681.700 2.098 1.904 1.987 1.385 1.309 1.342 2.687 2.681 2.6842.200 2.411 2.381 2.394 1.918 1.809 1.856 2.130 2.194 2.1662.600 2.261 2.305 2.286 2.201 2.083 2.134 1.816 1.893 1.8593.200 1.830 1.922 1.881 2.324 2.373 2.351 1.576 1.605 1.5923.500 1.872 1.926 1.902 2.247 2.324 2.290 1.579 1.622 1.6034.100 1.620 1.692 1.660 2.022 2.102 2.067 1.357 1.384 1.3724.300 1.469 1.521 1.498 1.821 1.915 1.873 1.222 1.250 1.2385.400 1.411 1.451 1.433 1.671 1.724 1.701 1.221 1.250 1.2376.200 1.296 1.322 1.311 1.454 1.484 1.471 1.201 1.211 1.2077.800 1.193 1.209 1.202 1.319 1.351 1.337 1.157 1.165 1.16110.000 1.248 1.258 1.254 1.321 1.330 1.326 1.154 1.174 1.165



Table 7-3. Interpolated amplification factors to standard spectral periods.

Period (sec) Median Lower Bound Upper Bound0.01 0.644 0.395 0.827

Set to value at0.02 0.01 sec0.03 0.651 0.399 0.8370.05 0.460 0.281 0.591

0.075 0.373 0.227 0.4820.1 0.344 0.207 0.461

0.15 0.309 0.188 0.4610.2 0.405 0.207 0.6450.3 0.605 0.349 0.9740.5 0.925 0.716 0.971

0.75 1.125 0.699 1.4341 1.298 0.870 1.500

1.45 1.659 1.203 2.4681.5 1.724 1.231 2.513 Interpolated1.7 1.987 1.342 2.6842.0 2.235 1.646 2.344 Interpolated2.2 2.394 1.856 2.1662.6 2.286 2.134 1.8593.0 1.998 2.282 1.671 Interpolated3.2 1.881 2.351 1.592 -3.5 1.902 2.290 1.6034.0 1.696 2.100 1.406 Interpolated4.1 1.660 2.067 1.3724.3 1.498 1.873 1.2385.0 1.455 1.757 1.237 Interpolated5.4 1.433 1.701 1.2376.2 1.311 1.471 1.2077.0 1.252 1.398 1.183 Interpolated7.8 1.202 1.337 1.16110 1.254 1.326 1.165



7.2.2 Step 2: Apply amplification factors to the horizontal rock spectra for the LittleSalmon Fault sourceNext the interpolated amplification factors for a PGA of 1.509g listed in Table 7-3 areapplied to the fault normal and fault parallel rock target spectra for the Little Salmon fault(Table 4-2). The resulting scaled fault normal and fault parallel soil spectra are listed inTables 7-4 and 7-5, respectively. These soil spectra are plotted in Figures 7-1 and 7-2.

Table 7-4. Fault normal soil spectrum for the Little Salmon fault source.

Fault Amplification Factor Soil Spectra (g)Normal (Fr Im Table 7-2)

RockSa(g) Lower Upper Lower Upper(from Median Bound Bound Median Bound Bound Envelope

Period Table Sa(g)(SeC) 4-2) 0.596 1.248 1.240.010 1.509 0.644 0.395 0.827 0.972 0.596 1.248 1.2480.020 1.509 0.644 0.395 0.827 -0.972 0.596 1.248 1.2480.030 1.535 0.651 0.399 0.837 0.999 0.612 1.285 1.2850.050 1.976 0.46 0.281 0.591 0.909 0.555 1.168 1.1680.075 2.465 0.373 0.227 0.482 0.919 0.560 1.188 1.1880.100 2.868 0.344 0.207 0.461 0.987 0.594 1.322 1.3220.150 3.587 0.309 0.188 0.461 1.108 0.674 1.654 1.6540.200 3.896 0.405 0.207 0.645 1.578 0.806 2.513 2.5130.300 3.667 0.605 0.349 0.974 2.219 1.280 3.572 3.5720.500 2.854 0.925 0.716 0.971 2.640 2.043 2.771 2.7710.750 2.167 1.125 0.699 1.434 2.438 1.515 3.107 3.1071.000 1.860 1.298. 0.87 1.5 2.414 1.618 2.790 2.7901.500 1.400 1.724 1.231 2.513 2.414 1.723 3.518 3.5182.000 1.111 2.235 1.646 2.344 2.483 1.829 2.604 2.6043.000 0.839 1.998 2.282 1.671 1.676 1.915 1.402 1.9154.000 0.669 1.696 2.1 1.406 1.135 1.405 0.941 1.4055.000 0.516 1.455 1.757 1.237 0.751 0.907 0.638 0.9077.000 0.317 1.252 1.398 1.183 0.397 0.443 0.375 0.44310.000 0.191 1.254 1.326 1.165 0.240 0.253 0.223 0.253



Table 7-5. Fault parallel soil spectrum for the Little Salmon fault source.

Fault Amplification Factor Soil Spectra (g)Parallel (Fom Table 7-)

RockSa(g) Lower Upper Lower Upper(from Median Bound Bound Median Bound Bound Envelope

Period Table Sa(g)(sec) 4-2)0.010 1.509 0.644 0.395 0.827 0.972 0.596 1.248 1.2480.020 1.509 0.644 0.395 0.827 0.972 0.596 1.248 1.2480.030 1.535 0.651 0.399 0.837 0.999 0.612 1.285 1.2850.050 1.976 0.46 0.281 0.591 0.909 0.555 1.168 1.1680.075 2.465 0.373 0.227 0.482 0.919 0.560 1.188 1.1880.100 2.868 0.344 0.207 0.461 0.987 0.594 1.322 1.3220.150 3.587 0.309 0.188 0.461 1.108 0.674 1.654 1.6540.200 3.896 0.405 0.207 0.645 1.578 0.806 2.513 2.5130.300 3.667 0.605 0.349 0.974 2.219 1.280 3.572 3.5720.500 2.854 0.925 0.716 0.971 2.640 2.043 2.771 2.7710.750 1.918 1.125 0.699 1.434 2.158 1.341 2.750 2.7501.000 1.510 1.298 0.87 1.5 1.960 1.314 2.265 2.2651.500 0.899 1.724 1.231 2.513 1.550 1.107 2.259 2.2592.000 0.601. 2.235 1.646 2.344 1.343 0.989 1.409 1.4093.000 0.302 1.998 2.282 1.671 0.603 0.689 0.505 0.6894.000 0.180 1.696 2.1 1.406 0.305 0.378 0.253 0.3785.000 0.132 1.455 1.757 1.237 0.192 0.232 0.163 0.2327.000 0.081 1.252 1.398 1.183 0.101 0.113 0.096 0.11310.000 0.049 1.254 1.326 1.165 0.061 0.065 0.057 0.065


Sheet Number 27 of 187Date: 1 1/24/02

A

I I I I I lI I 11i i!!tlt I 11 II t 1 i i~iit

3.5-

---- Envelope SA (g)

_ . - Median SA (g)

- - - Lower Bound SA (g)

- ~ Upper Bound SA(g)iI\E 1 I I1/ \1 1I I I

3 1 - 11 I I 11 I I I II I i ; Ni W MV i i i i i i+H

'R2.

0

U

V) 1.

.5 _ - __ _ _ ,__7,r0___

5- --=---4--| = 7

5-~~ 111 _- 4__. _ IL

__ I-- =-- 7 I__

O~~- I- _ _ _ _ _ I _ _ -

5-~ ~ _ - -___,

O.

0.01 0.1 i 10Period (sec)

Figure 7-1. Horizontal fault normal soil spectra for the Little Salmon fault subsource.



'4-.........- .. ...... I I I I I lI I1iI i . *. i 1 1 i I i1j f 0 0 i * M

3.5-

3-

---- Envelope SA (g)

- . - Median SA (g)

-- - Lower Bound SA (g)

Upper Bound SA(g)

I 11 I II I

I I I

- - II I

I I

J -- I -1II I-H -- II V I- I I III I I I I I 11 it I I r!r!hl II I I I , II I I I I I 11 W I. - I A I !-I I i I I I

"C02.

C)

U

5, /- -

'4

2_ It'lm X $ ]ll1

5- ___ -- -9-- --: M

_ _ 71L --

.- __-_ _ =- - -1

0- -_ .- _ -.

0.

0.01 0.1 I 10Period (sec)

Figure 7-2. Horizontal fault parallel soil spectra for the Little Salmon fault subsource.

Calc Number GEO.HBIP.02.05Rev Number 0

Sheet Number: 29 of 187Date: 11/24102

7.2.3 Step 3: Apply Empirical High Frequency Spectral ShapeThe empirical spectral shape (see Section 4.5) was next scaled to the soil spectra PGA.The scaled empirical spectral shape spectra are plotted in Figure 7-3. For frequenciesbetween 5-30 Hz the empirical spectral shape constraint controls both the fault normaland fault parallel soil spectra.

7.2.4 Step 4: Smooth the spectraFinally, the envelope of the soil spectra presented in Tables 7-4 and 7-5 and showngraphically in Figures 7-1 and 7-2 were smoothed to give a more typical spectral shape.The smoothed soil target spectra for the fault normal and fault parallel component arelisted in Table 7-6 and plotted in Figures 7-3a and 7-3b.

Table 7-6. Scaled smooth horizontal soil spectra for the Little Salmon fault subsource.

Period Fault Normal Fault Parallel(sec) SA (g) SA (g)0.010 1.248 1.2480.020 1.248 1.2480.030 1.285 1.2850.050 1.370 1.3700.075 1.529 1.5290.100 1.727 1.7270.150 2.109 2.1090.190 2.342 2.3420.200 2.513 2.5130.300 3.572 3.5720.600 3.380 2.9501.500 3.518 2.2592.000 2.604 1.4093.000 1.915 0.6894.000 1.405 0.3785.000 0.907 0.2327.000 0.443 0.11310.000 0.253 0.065



3.5 -. ___

02)5

C.) ,21111iM1100iX1110I

0.a)C, I*111Ld11 144411

Perod (sec)

Figure 7-3a. Smoothed spectrum for the Fault Normal component for the LSF subsource.



4- _ _ _ _ _ _ - - _ _ _- _ _ _ _ _ _ __4--

3.5-

3o -2 _--

1.5~~~~~~~~~~~~

. _, _ _ _aul~t Panr;llel Enve lope_ .. _____

0.5- Empirical Constraint _ ___

Smoothed Fault Parallel _

0)


Figure 7-3b. Smoothed spectrum for the Fault Parallel component for the LSF subsource.



7.2.5 Step 5: Interpolate LSF Subsource Spectra to Extended NRC frequenciesThe smoothed horizontal soil spectra from Table 7-6 and the vertical soil spectrum fromTable 4-4 are interpolated to the frequency interval given in Table 7-1 using eq. (5-1).The interpolated spectral values at 5% spectral damping for the three components for theLSF subsource are given in Table 7-7.

Table 7-7. LSF subsource spectra at 5% spectral damping.

Period (sec) Fault Normal Fault Parallel Vertical0.0100 1.248 1.248 1.3020.0105 1.248 1.248 1.3020.0111 1.248 1.248 1.3020.0118 1.248 1.248 1.3020.0125 1.248 1.248 1.3020.0133 1.248 1.248 1.3020.0143 1.248 1.248 1.3020.0154 1.248 1.248 1.3020.0167 1.248 1.248 1.3020.0182 1.248 1.248 1.3020.0200 1.248 1.248 1.3020.0222 1.258 1.258 1.4230.0250 1.268 1.268 1.5710.0294 1.283 1.283 1.8020.0323 1.297 1.297 1.9460.0357 1.313 1.313 2.1180.0400 1.332 1.332 2.3270.0455 1.354 1.354 2.5880.0500 1.370 1.370 2.8020.0556 1.410 1.410 2.9060.0588 1.432 1.432 2.9640.0625 1.455 1.455 3.0270.0667 1.481 1.481 3.0960.0690 1.495 1.495 3.1330.0714 1.509 1.509 3.1710.0741 1.524 1.524 3.2110.0769 1.545 1.545 3.2150.0800 1.571 1.571 3.2000.0833 1.599 1.599 3.1840.0870 1.628 1.628 3.1670.0909 1.659 1.659 3.1500.0952 1.692 1.692 3.1330.1000 1.727 1.727 3.1140.1053 1.771 1.771 3.070



0.1111 1.819 1.819 3.0250.1176 1.871 1.871 2.9780.1250 1.928 1.928 2.9100.1290 1.958 1.958 2.8700.1333 1.990 1.990 2.8300.1379 2.024 2.024 2.7890.1429 2.059 2.059 2.7460.1481 2.096 2.096 2.7040.1538 2.133 2.133 2.6630.1600 2.170 2.170 2.6240.1667 2.210 2.210 2.5830.1739 2.252 2.252 2.5310.1818 2.297 2.297 2.4680.1905 2.350 2.350 2.4040.2000 2.513 2.513 2.3380.2083 2.604 2.604 2.2870.2174 2.701 2.701 2.2360.2273 2.808 2.808 2.1830.2381 2.923 2.923 2.1290.2500 3.050 3.050 2.0630.2632 3.188 3.188 1.9940.2778 3.341 3.341 1.9240.2899 3.467 3.467 1.8700.3030 3.569 3.562 1.8170.3175 3.556 3.517 1.7690.3333 3.542 3.470 1.7200.3448 3.533 3.437 1.6860.3571 3.523 3.404 1.6520.3704 3.513 3.370 1.6180.3846 3.502 3.335 1.5830.4000 3.491 3.299 1.5470.4167 3.480 3.262 1.5060.4348 3.468 3.224 1.4640.4545 3.456 3.185 1.4220.4762 3.443 3.144 1.3790.5000 3.429 3.102 1.3350.5263 3.415 3.059 1.3020.5556 3.401 3.013 1.2690.5882 3.385 2.966 1.2340.6250 3.386 2.915 1.1980.6667 3.396 2.861 1.1610.7143 3.406 2.804 1.1230.7692 3.417 2.744 1.0740.8333 3.429 2.681 1.006



0.9091 3.442 2.614 0.9361.0000 3.456 2.542 0.8651.0526 3.464 2.504 0.8191.1111 3.472 2.465 0.7741.1765 3.481 2.425 0.7291.2500 3.490 2.382 0.6841.3333 3.500 2.338 0.6391.4286 3.511 2.291 0.5941.5385 3.426 2.167 0.5501.6667 3.151 1.900 0.5071.8182 2.877 1.648 0.4642.0000 2.604 1.409 0.4212.2222 2.404 1.170 0.3792.5000 2.199 0.950 0.3372.8571 1.987 0.751 0.2953.3333 1.710 0.553 0.2533.5714 1.587 0.479 0.2363.8462 1.466 0.410 0.2194.1667 1.297 0.346 0.2034.5455 1.093 0.286 0.1865.0000 0.907 0.232 0.1695.5556 0.725 0.185 0.1526.2500 0.564 0.144 0.1357.1429 0.429 0.110 0.1188.3333 0.337 0.086 0.10110.0000 0.253 0.065 0.084



7.3 Spectra for the Cascadia Interface Subsource

7.3.1 Step 1: Extrapolation of Cascadia Subsource SnectrumThe horizontal acceleration response spectrum for spectral periods of 0.02 and 0.03seconds are set equal to the PGA spectral acceleration value.

For spectral periods greater than 4.0 seconds, the acceleration response values werecomputed by extrapolation using eq. 5-1 using the spectral acceleration values at T=3 andT=4 seconds. The extrapolated horizontal soil spectrum used in the spectral matchingprocedure for the Cascadia source is listed in column #3 of Table 7-8 and plotted inFigure 7-4.

Table 7-8. 84h percentile soil horizontal response spectrum for the Cascadia interfaceevent extrapolated to 10 seconds period (5% spectral damping).

____________ #1 #3

84 h Percentile ExtrapolatedSpectral 8 4th Percentile

Period SA (g) Spectral(sec) (From Table 7-8) SA (g)PGA 0.8520 0.8520.02 0.8520 Set equal to PGA value 0.8520.03 0.8520 Set equal to PGA value 0.852

0.075 1.2144 1.2140.1 1.3638 1.3640.2 1.8896 1.8900.3 1.8975 1.8970.4 1.6987 1.6990.5 1.5601 1.560

0.75 1.2459 1.2461.0 0.9778 0.9781.5 0.6290 0.6292.0 0.4699 0.4703.0 0.2951 0.2954.0 0.1733 X 0.1737.0 --- Extrapolated 0 .06210.0 --- Extrapolated 0.032



2 . . . . . . . .

I II I I I I-1 1 111 I L I I H ill I I I

A I I I I III I 1 4-- A I I II I I I I I II 0 1 1 1 1 1 1 1 1 1 1 / I I x I I I I I I I I I I I

00

.EW

U

1.4- - I I I

1.2-

0.8.-

0.6-

0.4 --P.

. . . . . . . - - - . - .

I I I I

I I I I I - I II I -

I I I I I I IN I I -- -U - I I N I I

'IIV / - . . . . . . - . . . . - - - . - . . . . . . .

- I I I . . .

I - Cascadia Horizontal Soil Target Spectrum I, ,s, ,,,,

I I I I. . I i i i !i ! i iqI I I I 11111 I I I I I

U.., ~ ~ ~ ~ ~ . . .. ......- a

0.01-I

0.1 i 10Period (sec)

Figure 7-4. Horizontal soil response spectrum for the Cascadia interface subsource.



7.3.2 Step 2: Interpolate Cascadia Subsource Spectra to Extended NRC frequencies

The Cascadia subsource horizontal soil spectra from Table 7-8 and the vertical soilspectrum from Table 4-4 are interpolated to the frequency interval given in Table 7-1using eq. (5-1). The interpolated spectral values at 5% spectral damping for the horizontaland vertical components for the Cascadia interface subsource are given in Table 7-9.

Table 7-9. Cascadia interface subsource spectra at 5% spectral damping.

Period (sec) Horizontal Vertical0.0100 0.852 1.0510.0105 0.852 1.0510.0111 0.852 1.0510.0118 0.852 1.0510.0125 0.852 1.0510.0133 0.852 1.0510.0143 0.852 1.0510.0154 0.852 1.0510.0167 0.852 1.0510.0182 0.852 1.0510.0200 0.852 1.0510.0222 0.852 1.1400.0250 0.852 1.2490.0294 0.852 1.4160.0323 0.876 1.5180.0357 0.911 1.6370.0400 0.952 1.7810.0455 1.000 1.9580.0500 1.038 2.1020.0556 1.081 2.2730.0588 1.105 2.3720.0625 1.131 2.4820.0667 1.160 2.6040.0690 1.175 2.6700.0714 1.191 2.7410.0741 1.208 2.8160.0769 1.227 2.8230.0800 1.246 2.7930.0833 1.267 2.7620.0870 1.289 2.7310.0909 1.312 2.6980.0952 1.337 2.6650.1000 1.364 2.630



0.1053 1.397 2.5340.1111 1.433 2.4360.1176 1.472 2.3370.1250 1.515 2.2370.1290 1.538 2.1860.1333 1.562 2.1350.1379 1.587 2.0830.1429 1.613 2.0310.1481 1.641 1.9780.1538 1.671 1.9240.1600 1.702 1.8700.1667 1.735 1.8160.1739 1.770 1.7610.1818 1.807 1.7050.1905 1.847 1.6480.2000 1.890 1.5910.2083 1.891 1.5220.2174 1.891 1.4530.2273 1.892 1.3850.2381 1.893 1.3160.2500 1.894 1.2480.2632 1.895 1.1810.2778 1.896 1.1130.2899 1.896 1.0630.3030 1.890 1.0120.3175 1.856 0.9600.3333 1.822 0.9080.3448 1.798 0.8730.3571 1.774 0.8390.3704 1.750 0.8050.3846 1.725 0.7710.4000 1.699 0.7370.4167 1.673 0.7030.4348 1.646 0.6700.4545 1.618 0.6370.4762 1.589 0.6040.5000 1.560 0.5710.5263 1.516 0.5430.5556 1.472 0.5150.5882 1.426 0.4870.6250 1.379 0.4580.6667 1.330 0.4300.7143 1.280 0.4020.7692 1.220 0.372

Calc Number: GEO.HBIP.02.05Rev Number 0


0.8333 1.140 0.3410.9091 1.060 0.3101.0000 0.978 0.2791.0526 0.925 0.2621.1111 0.872 0.2461.1765 0.819 0.2291.2500 0.767 0.2131.3333 0.715 0.1971.4286 0.663 0.1811.5385 0.613 0.1681.6667 0.565 0.1581.8182 0.518 0.1482.0000 0.470 0.1382.2222 0.416 0.1282.5000 0.364 0.1172.8571 0.312 0.1063.3333 0.243 0.0893.5714 0.213 0.0823.8462 0.186 0.0754.1667 0.161 0.0684.5455 0.137 - 0.0615.0000 0.115 0.0545.5556 0.095 0.0476.2500 0.076 0.0417.1429 0.060 0.0348.3333 0.045 0.02810.0000 0.032 0.022



7.4 Spectra for Synchronous RuptureThe soil spectra for synchronous rupture were developed in GEO.HBIP.02.04 formultiple spectral damping values. The only modification needed is to interpolate (usingeq. (5-1)) the spectral values to the extended NRC frequencies for use in the spectralmatching.

7.4.1 Step 1: Interpolate the horizontal and vertical soil spectra to the extendedNRC frequencies

The synchronous rupture soil spectra from Tables 4-5, 4-6, and 4-7 are interpolated to thefrequency interval given in Table 7-1 using eq. (5-1). The interpolated spectral values at4%, 5%, and 7% damping for the three components are given in Table 7-10. As a checkof the interpolation, the spectral values are plotted in Figures 7-5a, 7-5b, and 7-5c for thefault normal, fault parallel, and vertical components, respectively.



Table 7-10. Synchronous rupture soil spectra interpolated to the extended NRCfrequencies.

Fault Normal Fault Parallel VerticalPeriod 4% 5% 7% 4% 5% 7% 4% 5% 1 7%

(sec)0.0100 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0105 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0111 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0118 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0125 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0133 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0143 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0154 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0167 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0182 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0200 1.3160 1.3160 1.3160 1.3160 1.3160 1.3160 1.6730 1.6730 1.67300.0222 1.3298 1.3250 1.3181 1.3298 1.3250 1.3181 1.8404 1.8232 1.79830.0250 1.3455 1.3352 1.3204 1.3455 1.3352 1.3204 2.0475 2.0071 1.94950.0294 1.3673 1.3493 1.3236 1.3673 1.3493 1.3236 2.3721 2.2917 2.17920.0323 1.3863 1.3634 1.3309 1.3863 1.3634 1.3309 2.5683 2.4681 2.32890.0357 1.4095 1.3811 1.3405 1.4095 1.3811 1.3405 2.7997 2.6772 2.50820.0400 1.4358 1.4010 1.3514 1.4358 1.4010 1.3514 3.0821 2.9309 2.72410.0455 1.4660 1.4238 1.3637 1.4660 1.4238 1.3637 3.4349 3.2461 2.99000.0500 1.4890 1.4410 1.3730 1.4890 1.4410 1.3730 3.7240 3.5030 3.20500.0556 1.5386 1.4836 1.4054 1.5386 1.4836 1.4054 3.9397 3.6944 3.36460.0588 1.5662 1.5073 1.4233 1.5662 1.5073 1.4233 4.0619 3.8026 3.45450.0625 1.5959 1.5327 1.4426 1.5959 1.5327 1.4426 4.1956 3.9209 3.55240.0667 1.6283 1.5603 1.4633 1.6283 1.5603 1.4633 4.3429 4.0508 3.65970.0690 1.6455 1.5750 1.4744 1.6455 1.5750 1.4744 4.4223 4.1207 3.71740.0714 1.6636 1.5904 1.4859 1.6636 1.5904 1.4859 4.5060 4.1944 3.77800.0741 1.6825 1.6065 1.4979 1.6825 1.6065 1.4979 4.5944 4.2721 3.84190.0769 1.7088 1.6294 1.5162 1.7088 1.6294 1.5162 4.6073 4.2789 3.84110.0800 1.7399 1.6567 1.5386 1.7399 1.6567 1.5386 4.5801 4.2479 3.80600.0833 1.7729 1.6856 1.5622 1.7729 1.6856 1.5622 4.5519 4.2160 3.76970.0870 1.8079 1.7163 1.5871 1.8079 1.7163 1.5871 4.5226 4.1829 3.73230.0909 1.8453 1.7489 1.6137 1.8453 1.7489 1.6137 4.4923 4.1486 3.69360.0952 1.8852 1.7837 1.6419 1.8852 1.7837 1.6419 4.4608 4.1130 3.65360.1000 1.9280 1.8210 1.6720 1.9280 1.8210 1.6720 4.4280 4.0760 3.61200.1053 1.9801 1.8676 1.7114 1.9801 1.8676 1.7114 4.3290 3.9824 3.52620.1111 2.0365 1.9181 1.7539 2.0365 1.9181 1.7539 4.2270 3.8861 3.43790.1176 2.0978 1.9729 1.8001 2.0978 1.9729 1.8001 4.1218 3.7868 3.34690.1250 2.1650 2.0328 1.8503 2.1650 2.0328 1.8503 3.9981 3.6714 3.24280.1290 2.2010 2.0649 1.8772 2.2010 2.0649 1.8772 3.9310 3.6091 3.1870



0.1333 2.2388 2.0985 1.9053 2.2388 2.0985 1.9053 3.8630 3.5460 3.13030.1379 2.2785 2.1339 1.9349 2.2785 2.1339 1.9349 3.7938 3.4818 3.07280.1429 2.3205 2.1711 1.9660 2.3205 2.1711 1.9660 3.7235 3.4166 3.01440.1481 2.3647 2.2104 1.9987 2.3647 2.2104 1.9987 3.6521 3.3503 2.95500.1538 2.4065 2.2482 2.0312 2.4065 2.2482 2.0312 3.5822 3.2863 2.89870.1600 2.4481 2.2862 2.0644 2.4481 2.2862 2.0644 3.5123 3.2228 2.84340.1667 2.4922 2.3265 2.0995 2.4922 2.3265 2.0995 3.4411 3.1580 2.78700.1739 2.5390 2.3692 2.1368 2.5390 2.3692 2.1368 3.3583 3.0833 2.72260.1818 2.5888 2.4146 2.1765 2.5888 2.4146 2.1765 3.2651 2.9997 2.65110.1905 2.6420 2.4631 2.2188 2.6420 2.4631 2.2188 3.1704 2.9146 2.57830.2000 2.6990 2.5150 2.2640 2.6990 2.5150 2.2640 3.0740 2.8280 2.50400.2083 2.7982 2.6075 2.3472 2.7972 2.6065 2.3463 2.9862 2.7483 2.43500.2174 2.9055 2.7075 2.4372 2.9034 2.7055 2.4353 2.8974 2.6676 2.36500.2273 3.0220 2.8161 2.5349 3.0186 2.8129 2.5319 2.8075 2.5858 2.29410.2381 3.1489 2.9344 2.6413 3.1440 2.9298 2.6371 2.7163 2.5029 2.22210.2500 3.2878 3.0638 2.7577 3.2812 3.0577 2.7521 2.6165 2.4118 2.14220.2632 3.4403 3.2060 2.8856 3.4319 3.1982 2.8784 2.5140 2.3181 2.06000.2778 3.6088 3.3631 3.0269 3.5982 3.3532 3.0178 2.4103 2.2233 1.97670.2899 3.7472 3.4921 3.1429 3.7348 3.4805 3.1323 2.3317 2.1514 1.91360.3030 3.8630 3.6000 3.2400 3.8439 3.5822 3.2237 2.2541 2.0804 1.85100.3175 3.8630 3.6000 3.2400 3.8201 3.5600 3.2038 2.1821 2.0139 1.79190.3333 3.8630 3.6000 3.2400 3.7953 3.5369 3.1830 2.1090 1.9465 1.73190.3448 3.8630 3.6000 3.2400 3.7782 3.5210 3.1687 2.0597 1.9010 1.69140.3571 3.8630 3.6000 3.2400 3.7605 3.5045 3.1539 2.0099 1.8550 1.65050.3704 3.8630 3.6000 3.2400 3.7423 3.4875 3.1386 1.9595 1.8086 1.60910.3846 3.8630 3.6000 3.2400 3.7235 3.4700 3.1229 1.9085 1.7616 1.56730.4000 3.8630 3.6000 3.2400 3.7041 3.4519 3.1066 1.8570 1.7140 1.52500.4167 3.8630 3.6000 3.2400 3.6840 3.4331 3.0898 1.8015 1.6628 1.47940.4348 3.8630 3.6000 3.2400 3.6631 3.4137 3.0723 1.7453 1.6110 1.43340.4545 3.8630 3.6000 3.2400 3.6415 3.3935 3.0541 1.6886 1.5586 1.38680.4762 3.8630 3.6000 3.2400 3.6189 3.3725 3.0353 1.6311 1.5056 1.33970.5000 3.8630 3.6000 3.2400 3.5955 3.3506 3.0156 1.5730 1.4520 1.29200.5263 3.8630 3.6000 3.2400 3.5710 3.3277 2.9950 1.5293 1.4117 1.25610.5556 3.8630 3.6000 3.2400 3.5453 3.3038 2.9735 1.4846 1.3703 1.21930.5882 3.8630 3.6000 3.2400 3.5184 3.2787 2.9510 1.4387 1.3280 1.18160.6250 3.8630 3.6000 3.2400 3.4900 3.2523 2.9272 1.3916 1.2844 1.14290.6667 3.8630 3.6000 3.2400 3.4390 3.2049 2.8845 1.3431 1.2397 1.10310.7143 3.8630 3.6000 3.2400 3.3724 3.1430 2.8288 1.2932 1.1936 1.06210.7692 3.8633 3.6000 3.2397 3.2966 3.0724 2.7649 1.2321 1.1372 1.01180.8333 3.8641 3.6000 3.2385 3.2054 2.9866 2.6868 1.1508 1.0621 0.94470.9091 3.8650 3.6000 3.2373 3.1092 2.8960 2.6044 1.0684 0.9860 0.87681.0000 3.8660 3.6000 3.2360 3.0070 2.8000 2.5170 0.9850 0.9090 0.80801.0526 3.8656 3.6000 3.2365 2.9579 2.7545 2.4765 0.9323 0.8605 0.76491.1111 3.8652 3.6000 3.2370 2.9070 2.7074 2.4345 0.8799 0.8121 0.7220



1.1765 3.8648 3.6000 3.2376 2.8541 2.6584 2.3909 0.8276 0.7639 0.67921.2500 3.8644 3.6000 3.2382 2.7991 2.6074 2.3454 0.7.756 0.7159 0.63671.3333 3.8639 3.6000 3.2388 2.7417 2.5542 2.2980 0.7238 0.6681 0.59431.4286 3.8634 3.6000 3.2395 2.6816 2.4986 2.2484 0.6722 0.6206 0.55201.5385 3.8407 3.5795 3.2220 2.5801 2.4045 2.1643 0.6221 0.5744 0.51111.6667 3.7711 3.5157 3.1658 2.3998 2.2376 2.0145 0.5744 0.5307 0.47251.8182 3.5215 3.2840 2.9580 2.1701 2.0238 1.8228 0.5267 0.4868 0.43382.0000 3.2160 3.0000 2.7030 1.9300 1.8000 1.6220 0.4790 0.4430 0.39502.2222 2.8250 2.6369 2.3788 1.5256 1.4239 1.2842 0.4320 0.4000 0.35712.5000 2.4960 2.3317 2.1062 1.1926 1.1141 1.0060 0.3850 0.3568 0.31912.8571 2.2689 2.1220 1.9192 0.9348 0.8743 0.7907 0.3378 0.3135 0.28083.3333 1.9520 1.8285 1.6580 0.6916 0.6481 0.5880 0.2887 0.2686 0.24123.5714 1.8096 1.6965 1.5404 0.6019 0.5645 0.5130 0.2688 0.2503 0.22513.8462 1.6683 1.5653 1.4233 0.5184 0.4867 0.4431 0.2489 0.2321 0.20904.1667 1.4829 1.3928 1.2684 0.4362 0.4099 0.3737 0.2290 0.2138 0.19304.5455 1.2645 1.1891 1.0848 0.3572 0.3358 0.3067 0.2089 0.1954 0.17705.0000 1.0620 1.0000 0.9140 0.2870 0.2700 0.2470 0.1890 0.1770 0.16105.5556 0.8328 0.7840 0.7163 0.2282 0.2147 0.1965 0.1697 0.1587 0.14456.2500 0.6347 0.5972 0.5455 0.1765 0.1662 0.1521 0.1505 0.1405 0.12817.1429 0.4727 0.4447 0.4060 0.1330 0.1254 0.1147 0.1313 0.1225 0.11178.3333 0.3664 0.3447 0.3148 0.1011 0.0954 0.0872 0.1121 0.1047 0.095310.0000 0.2710 0.2550 0.2330 0.0730 0.0690 0.0630 0.0930 0.0870 0.0790



cm

C:0

C)

C)0.U,

0.

Perod (sec)

Figure 7-5a. Comparison of interpolated spectral values (Table 7-10) with the targetspectra (Table 4-5) from Calculation GEO.HBIP.02.04 for the fault normal component.



in-

.. t 1 1--. . . .

I.

Cn

a-0

£1)

0

C,,

XA

- .L . .... -.....

0.1-o 4% damping

o 5% damping

o 7% damping

- 4% damping - interpolated



I I I I I I II I III

I

0.01C

I -* I I

).01 0.I0.1 1 10Period (sec)

Figure 7-5b. Comparison of interpolated spectral values (Table 7-10) with the targetspectra (Table 4-6) from Calculation GEO.HBIP.02.04 for the fault parallel component.



10- i

0)

C0

a)

C.)0.

C'ao 4% damping

o 5% damping- -

o 7% damping

- 4% damping - interpolated - -


- 47% damping - interpolated. l 5%dampin - inerpolaed L1_ l l l _

0.1

0.0'0.01 0.1 10

Period (sec)Figure 7-5c. Comparison of interpolated spectral values (Table 7-10) with the targetspectra (Table 4-7) from Calculation GEO.HBIP.02.04 for the vertical component.



7.5 Time Histories for the LSF Subsource

7.5.1 Step 1: Selection of initial Time historiesThe initial time histories selected for the LSF subsource are given in Table 3-1 and arealso listed in Table 7-11. The selection of these initial time histories was subjected to apeer review by Paul Somerville (Somerville, July 2002). The digital values of the initialtime histories are given on the enclosed CD-Rom.

For the Chi-Chi earthquake time histories, the fling was removed from the recordedground motion using the models developed in GEO.DCPP.01.12. The time history forthe TCU052 station from the Chi-Chi earthquake was rotated to 060 degrees. The basisfor this rotation is that the fling model fit was greatly improved for this rotation since it isclose to a principal axis for displacement (see Calculation GEO.DCPP.01. 12).

Table 7-11. Input time histories used for the Little Salmon Fault spectral matching.

- Set Earthquake Magnitude Station Distance (km)LSF1 09/20/99 Chi-Chi 7.6 TCU052 0.2LSF2 09/16/78 Tabas 7.4 Tabas 3.0LSF3 09/20/99 Chi-Chi 7.6 TCU102 1.8LSF4 09/20/99 Chi-Chi 7.6 TCU068 1.1



7.5.2 Step 2: Remove Permanent Tectonic DisplacementsTwo of the four sets of selected recordings have permanent displacements in the groundmotions (station TCU052 and TCU068 from the Chi-Chi earthquake). In calculationGEO.DCPP.01.12, the permanent tectonic displacements (fling) were removed from theacceleration time histories. The parameters used to remove the fling are listed below inTable 7-12.

Table 7-12. Parameters estimated for the fling for the two sets of ground motions thatinclude fling (from Table 6-6 in GEO.DCPP.01.12)

Set Earthquake Station Comp D (cm) tj (sec) Tning (sec)LSF1 Chi-Chi TCU052 150 -839 33.0 4.4LSF4 Chi-Chi TCU068 000 844 33.8 3.7

7.5.3 Step 3: Spectral Matching for the LSF SubsourceThe program RSPMATCH is used to modify the time histories to approximately matchthe target spectrum. Since the time histories will be combined with the Cascadia interfacetime histories and rematched to the synchronous rupture target spectra, the numericalcriteria for enveloping a spectrum as defined in SRP 3.7.1 is not applied.

For each component of each set, three plots are shown: (a) the initial time history, (b) thespectra for the initial and final time history compared to the target spectrum and (c) themodified time history. The plots for the 12 components (4 sets x 3 components/set) areshown in Figures 7-6 to 7-17.

The average of the fault normal, fault parallel, and vertical components spectra for 5%spectral damping are plotted in Figures 1 8a, b, and c, respectively. For comparison, thecorresponding LSF soil target spectra are also plotted in each figure.


Sheet Number: 49 of 187

Figure 7-6aFigure 7-6a. TCU052 fault normal starting input time histories. Date: 11/24/02

0.30

C)C.)

0.00

-0.300 10 20 30 40 50 60 70

Time (sec)

80

87.00

O

(00.00

-87.0010 20 30 40 50 60 70 80

Time (sec)

41* AM

0.000)

A

[ -I I I I I a I I I i I I I . I . I . . I . I I I I j I I . I i I I I I I

, I I I I I I I , , I I " I I I I I i I I I I i t It I I I I , I I I PISI(CMI) I --118.000 10 20 30 40 50 60 70 80

Time (sec)



Figure 7-6b.

CDiC0(a

C)

I-

0.

I

I

Period (sec)

Figure 7-6b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault normal component for the Little Salmon fault

subsource for set LSFI.

. ... _.. .. .- .7 - - .



Figure 76c. Figure 7-6c. TCU052 fault normal modified time history for the Little 1iM6n4'Pult sourcE& .

2.00

-0.00

-2.00 I t I I I I i

0 10 20 30 40 50 60 70 80

Time (sec)

373.00 I '

0.00

-373.000 10 20 30 40 50 60 70 80

Time (sec)

328.00

E .r0.00

-328.00 I , I , , , , I , , p5 (cm)0 10 20 30 40 50 60 70 80

Time (sec)

. .. .. .. .- - . .. - . .-. .- _. .. ...



Figure 7-7a. Figure 7-7a. TCU052 fault parallel starting time histories. Date: 11/24/02

0.60 . I * I I I I I . I

0.00

-0.60 1 I II

0 10 20 30 40 50 60 70 80

Time (sec)

168.00

42

E 0.00

-168.00 I I jVel (cntsec)0 10 20 30 40 50 s0 70 80

Time (sec)

89.00 . I * . I a * S I U I .

0.00

-89.00 I t I, I I I . I I I I I I .... Pscm,0 10 20 30 40 50 60 70 so

Time (sec)

L



Figure 7-7b.

10.00*I 7 ;

h tt. . . . .

I- .I-- --rLL 2--r.,I I -1 I| ,_ __ . __ ___ _ -+----- . ! --- 4-

I1-- i-

1: i .I i

I

-j

-r I… t .

-a,

1.0

Cn

04-

-

C/,

o- -1 1 -4- ___ 1-_---,"-- I i,___ -- < - ----_ I_-_-_ -

--- L j ___'. __--r _____' __ I... i ______ 1I - LSF-utPrle tagt Spetrum

1- r-- I i 1 II 11-I1

0.1

0.00.010 0.100 1.000 10.000

Period (sec)

Figure 7-7b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault parallel component for the Little Salmon faultsubsource for set LSFI.

I

I Calc Number: GEO.HBIP.02.05Rev Number: 0


Figure 77c. Figure 7-7c. TCU052 fault parallel modified time history for the LittlPISlWM/Plault source.

2.00

00.00

-2.000 10 20 30 40 so 60 70 80

Time (sec)

280.00

I

0CD

E6 0.00

I , , I ~ ~ ~ ~ ~ ~ ~ ~~~~~~~ * 1de cI Ie-280.00

0 10 20 30 40 50 60 70 80

Time (sec)

98.00

E

C.0.00

-98.000 10 20 30 40 50 60 70 80

Time (sec)



Figure 7-8a Figure 7-8a. TCU052 vertical starting time histories.

0.20

0n

00.00

-0.200 10 20 30 40 So 60 70 80

Time (sec)

44.00

0Cl)

,0.00

44.000 10 20 30 40 50 60 70 80

Time (see)

44.00

E

0.00

C0

44.000 10 20 30 40 50 60 70 80

Time (sec)


Sheet Number: 56 of 187Date: 11t24/02

Figure 7-8b.In nn_lU .UU _ _

.Lt 1 4 I~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~. ......

1 -Ut

CD

0

(U

-a

C,,

0.1(

u- _=_: I I ___ I _ - '.,, _ --

i--__ I-----!-t - i t --- r - ,-t: -~ r---0;11.1+ _¢__4- -1 I

_ _, 0 ~~____ tI _ ____ t

_ __ _____' X _ , i! . i __ _ _ ___>

.- , - ! - zz z __ _ _ __ . ; Ii_ _ _ _ _ Si I _ _ _ t-~~ -i.r--1 | _ _ _ -

__ I _ j t__. __ ._ 4 __. !ji!

4.-. LSF- Vertical Target Spectrum t -!.-- -I*- --- Initial Time History Scaled to Target PGA ll tlI

Modified Time History T I I' i__I- I ' 1 l. l0.0'

0.010. I , . 0. 1 0

0.100I I

1.000 10.000Period (sec)

Figure 7-8b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the vertical component for the Little Salmon faultsubsource for set LSFI.

. .. W` .... I .



Figure 7-8c. Figure 7-8c. TCU052 vertical modified time history for the Little SaIAMi RIgfis~ource.

2.00

C-)U

0.00

-2.000 10 20 30 40 50 60 70 so

Time (sec)

101.00

U0)(I)

U

0)

0.00

-101.000 10 20 30 40 50 60 70 80

Time (sec)

97.00

E

0 0.00

, , , , I, I, , I, , I II I I I 1 4 E I I I T- . I I I I . Is ( i I I I I

I , I I I - -I I I I I I , I I I I I , , I , I f . . , plS. (cm) I-97.00

0 10 20 30 40 50 60 80

Time (sec)



Figure 7-9a. Figure 7-9a. Tabas fault normal starting time histories. Date: 1 1/24102

883.00

00.00

-883.00

107558.00

10 20 30 40 50 60

Time (sec)

a,(D

0.00

-107558.00

55494.00

Elu 0.00

0

-55494.00

0 10 20 30 40 50 60

Time (sec)

0 10 20 30 40 50 60

Time (sec)

-: '-7'--

Calc Number GEO.HBIP.02.05Rev Number: 0


Figure 7-9b.

'-

CD

0

a.).

ci,

Period (sec)

Figure 7-9b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault normal component for the Little Salmon faultsubsource for set LSF2.

I . '. . ..: . '.' s - .



Figure 7-9c. Figure 7-9c. Tabas fault normal modified time history for the Little Salmon Fault source.

2.00

o 0.00

ACT (()-2.00 I I Vei (cn seI

0 10 20 30 40 so

Time (sec)

589.00

~0.00

0 10 20 30 40 so

Time (sec)

0.00

-284.000 10 20 30 40 5

Time (sea)


Sheet Number: 61 of 187Date: 1 1/24/02Figure 7-1 Oa. Tabas fault parallel starting time histories.

Figure 7-lOa.

959.00

IU 0.00

-959.000 10 20 30 40 50 60

Time (sec)

104113.00

0Ca,

0.00

.104113.000 10 20 30 40 50 60

Time (sec)

70555.00

00.00

-70555.000 10 20 40 50 60

Time (sec)

. .. :II. 4

- -,--

. 4 .. . .



Figure 7-1 Ob.

10.00 l_ _ _ _-iL _ -! ! I , ! I- -4 -i _ _ _ _ _ _ _ I.

-.______ 4

11411 "-1 -

I . - ! I I I I I ! I i i I , t i.- - ..-- , -- - - i -i- .- ;_.__,_ 1. -4---s -i.

i I :I ! i I I F .

._L ' i: ' I i-- , ! '-._

. -- - ---_------.

.. ,.'--:.<i

i i T r~~L.

I_ ._. ._. L

.:

1.1_ _ WLI H I I . . . I : . .1 ! VA i I I

Cn

01u

I-

co

U)

0.'

t,'t_ __ ii I . I _5

_ _ _ . L______ _____i ____

1 ,._ _._,. _. I I_ _ _ _ _ _ _ _ _

- - LSF - Fault Parallel Target Spectrum

.----Initial Time History Scaled to Target PGA _ __ .

Modified Time History

01- ______________ _ , ,, *-r , ,- T,, .rt.,. ,0]. I0.010 0.100 1.000 10.000Period (sec)

Figure 7-lOb. Initial response spectrum scaled to the target PGA value, modified response

, spectrum and target response spectrum for the fault parallel component for the Little Salmon fault

subsource for set LSF2.



Figure 7-loc. Figure 7-1 Oc. Tabas fault parallel modified time history for the LittlEd lrFh1W ?'flult source.

2.00

cm

0U

0.00

-Acc (g)I

-2.00 . . . . .

0 10 20 30 ' 40 50

Time (sec)

159.00

0(I)

0.00

.159.000 10 20 30 40 50

Time (sec)

71.00

0

a,O

0.00

-71.000 10 20 30 40 50

Time (sec)

.. , .o. . .... . 1� , '.. . . i


Sheet Number: 64 of 187Date: I 1/24/02Figue 711 Figure 7-1 1 a. Tabas vertical starting time histories.

0.70

cm

80.00

-0.70

45.00

0 10 20 30 40

Time (sec)

C.)0.00

I I I a I I I I I I I I I I ~ ~~~~~~~~~~~Vel (crn/sec).45.00

0 10 20 30 40

Time (sec)

16.00

E

a,0.00

.16.000 10 20 30 40

Time (see)

. . : . 1 . . ' .



Figure 7-1 lb.

In nn - JI V.

1.

CD

0

a)

C.)C.)

01)C,,

00u- I__'_1__-I '

: _ .... .. . i . i i_ .... ... ._ _ . . ._ !_;_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. ...... _ 1_ I ........1 ....

_ _ _, ,' ......... . . . . ..._ 1*-- _ .___ _ _}_ _ . __ ._ _ '-- --iif10 - F1 -- n -- ij 0

L-SF - Vertical Target Spectrum

.r-Initial Time History Scaled to Target PGA 1

-Modified Time History

0 1i* * iz! j | , | i_o.

o.0.010 0.100 1.000 10.000

Period (sec)

Figure 7-1 lb. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the vertical component for the Little Salmon faultsubsource for set LSF2.



Figure 7-1 Ic. Figure 7-11 c. Tabas vertical modified time history for the Little SaIrdlkf 1 urce.

2.00

CD

UU

0.00

-2.000 10 20 30

Time (sec)

40

0)

C.)

C)

121.00

0.00

I I A I I I I I I II I I I I I I I

Vel (CnVsec)-]ZI.U'

0 10 20 30 40

Time (sec)

59.00

E0t

C]0.00

-59.000 10 20 30 40

Time (sec)

Calc Number. GEO.HBIP.02.05Rev Number: 0


Figure 7-12t Figure 7-1 2a. TCU 102 fault normal starting time hisltones.

0.40

0QC.) 0.00

- - I . . . . I . . . . I . . I ^Cc (g9-0.40 L

0. I I I I I I I I I I - . . . . I I . . . . . . . . . . . . . . . I . . . .

10 20 30 40 50 60 70 80

Time (sec)

92.00

Ua)a)

0.00

-92.000 10 20 30 40 so 60 70 80

Time (sec)

140.00

E." 0.00

I t I I I a I I . . i I I . I . I . I I I I 6 I I I I j I I ~ ~ I (I I

-140.000 10 20 30 40 50 60 70 80

Time (see)

.1 . . . . .,; . , , . . . .. �- I .. I .



Figure 7-12b.

1 0.00 --

ci

0

C.)C.)

C')

Period (sec)




Figure 7-12c. Figure 7-12c. TCU1 02 fault normal modified time history for the Litt~alA~VPault source

2.00

o 0.00S

*2.000 10 20 30 40 50 60 70 s0

Time (sac)

490.00

UCD

'0.00

-490.000 10 20 30 40 50 70 80

Time (sac)

353.00

t)

0

0.00

-353.0 10 20 30 40 50 60 70 80

Time (sac)



Figure 7-13a. Figure 7-13a. TCU102 fault parallel starting time his,tories.

0.30

. 0.00C.

-0.300 10 20 30 40 50 60 70 80

Time (sec)

74.00

0)

20.00

-74.000 10 20 30 40 50 60 70

Time (sec)

80

48.00

E

0

0.00 I I I * I I I I I I I I I I I tI I I I I I - ' I ~ " l I

48.000 10 20 30 40 50 60 70 s0

Time (sec)



Figure 7-13b.

4 n nn'-/I U.U U _ _ _ _ _ _ _ _ _ _ _ _ _L l

i -on~~~i I

C)

C)

0:

i j l . i, ,' '' i I i "' Th__._ __ tI i -t~ t_,ii ii., js

__ __ __ ____ ____ __ _ _ _ _ _ _ _ _

__ tii ___ I I ..L..i. !

_~~~~~~~~~~~~~I ;I,;i ri -II_ _ _ ' _ _ _ ._ - t-Ii _ii | z I !I i I i *is

=___ ___!______ I II

- LSF -Fault Paralleli Target Spectrum I I . I. .--- Initial Time History Scaled to Target PGA I |j

-Modified Time History l i,

_ TTITJ'.rIzi-O.(0.010 0.100 1.000 10.000

Period (sec)

Figure 7-13b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault parallel component for the Little Salmon faultsubsource for set LSF3.



Figure 713c. Figure 7-1 3c. TCU1 02 fault parallel modified time history for the LitIItSdlI0(P?:ault source.

2.00 jul * I I I I

0) 0.00

-2.00 I I I I a | I | | I I I . I I I § | I I i, | I I @ I | I I I i? .. IC~(g"0 10 20 30 40 50 60 70 80

Time (sec)

194.00 I I I I I j I I I I I I I

CD)

a)CD)

-194.000 10 20 30 40 S0 60 70 80

Time (sec)

91.00

0.00

0 10 20 30 40 s0 60 70 so

Time (sec)



Figure714& Figure 7-14a. TCU1O2 vertical starting time historiesI.

0.20

-a

U 0.00C.

-0.200 10 20 30 40 So 60 70 80

Time (sec)

69.00

0

0)U) 0.0o

-69.000 10 20 30 40 50 60 70 80

Time (see)

54.00

o0

U)0.00

4 I . . I . I I I I I I I . . . I I I I j I I I I I . I I . I I I I I I I

is (cm)I I I I I . I I I I I I I I I I I I . I I I , , I I I I I I I I I . p A f-54.00

0 10 20 30 40 50 60 70 80

Time (sec)

I -



Figure 7-14b.

10.00,--

-BC0I.-

a,I)

CO0.

Period (sec)

Figure 7-14b. Initial response spectrum scaled to the target PGA value, modified response

spectrum and target response spectrum for the vertical component for the Little Salmon fault

subsource for set LSF3.


Sheet Number: 75 of 187Figure 7-14c. Figure 7-1 4c. TCU1 02 vertical modified time history for the Little Sa~iri nlAII0source.

o. 0.00.0

-2.00 . . I . I I . . , I , .'cctg)0 10 20 30 40 50 60 70 80

Time (sec)

100.00

~0.00CD

.1 00.00I I I0 10 20 30 40 50 60 70 80

Time (sec)

81.00 . . . I

0.0002

-81.00 . I I . I I . I .. , I , ()0 10 20 30 40 50 60 70 80

Time (sec)

I4

i Calc Number: GEO.HBIP.02.05Rev Number: 0


Figure 7-15a. Figure 7-15a. TCU068 fault normal starting time histories. Dt:I1/40

0.60

cm0

0.00

-0.60

136.00

0 10 20 30 40 50 60 70

Time (sec)

vel (cn-sc),

D ~~10 20 30 40 s0 60 70

Time (sec)

0a,cn0.00

.136.00

194.00

I

I i I I I I I . I I . I I . I I . . I I - I I . I I . I I

E0.LnO

0.00

, I I I I I .I I I I I I t t I I I I I I t I t I -L- I I ls (cm ).1 94.00

0 10 20 30 40 50 60 70

Time (sec)

.I I . . .. .7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~..



Figure 7-15b.

1 0.00-p-

C0

I-

a)

C',

10.000Period (sec)


Calc Number: GEO.HBlP.02.05Rev Number: 0

Sheet Number: 78 of 187Figure 7-15c. TCU068 fault normal modified time history for the LitfttSah~tWMFault source.

Figure 7-15c.

2.00

0

0to0.00

-2.00

411.00

10 20 30 40 50 60

Time (sec)

70

E0a,

0.00

-411.00

314.00

0 10 20 30 40 50 60 70

Time (sec)

E0 0.00 i I I I i I . . I . . I I I. I I I * DI I I I)

-314.000 10 20 30 40 50 60 70

Time (sec)

. :. . :



Figure 7-16a. Figure 7-16a. TCU068 fault parallel starting time histories. Date: 11/24/02

0.50

C)

0o.o0

-0.500 10 20 30 40 50 60 70 80

Time (sec)

98.00

08)to)

0.00

I I I I I I I ~I I I III I I I I * I I I ~

V el,(clrvsec)-98.00

0 10 20 30 40 50 60 70 80

Time (sec)

103.00

E0e

0

0.00

-103.000 10 20 30 40 50 60 70 80

Time (sec)

. . . . : , .; . :,



Figure 7-16b.

1 0.00 -r-

0)CD

0

C.)U)

Period (sec)

Figure 7-16b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault parallel component for the Little Salmon faultsubsource for set LSF4.



Figure 7-16c. Figure 7-1 6c. TCU068 fault parallel modified time history for the Lie atrmnFault source

2.00

tMC.U

0.00

-2.000 10 20 30 40 50 60

Time (sec)

70

220.00

0

(A

0.00 I I I I ~ ~ ~ ~ ~ ~ ~ ~ ~ I 1 I I

70-220.00

0 10 20 30 40 50 60 7

Time (sec)

99.00

E0.00

-99.000 10 20 30 40 50 60 70

Time (sec)

Caic Number: GEO.HBIP.02.05Rev Number: 0

Sheet Number: 82 of 187c Date: 11/24/02

Figure 7-17a Figure 7-17a. TCU068 vertical starting time histories 2 .

0.30

o 0.00O.

-0.300 10 20 30 40 50 60 70

Time (sec)

79.00

UCD,

a, 0.00

-79.000 10 20 30 40 50 60 70

Time (sec)

112.00

e)Ci 0.00 *I I II I i I I I I * I I I I I i * I I *

I-112.000 10 20 30 40 50 60 70

Time (sec)



Figure 7-17b.

1 0.00-7-

tI~Fi -- - --- - ; ;3 I ... I T .

I nAn, ....

CD

0.

Ci,

___;__ ___ .__ ! t-I

_ .. i . . . , .._ _ _ _ _ _-_ -f - t--I i- - _I - 1.L

LSF -Vertical Target Spectrum

.Initial Time History Scaled to Target PGA r i-Modified Time History

.1 I fl, I t'1 '' ~i ___ ___ ___

0.10

0.010. __

.010 0.100Period (sec)

1.000 1 0.000

Figure 7-17b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the vertical component for the Little Salmon faultsubsource for set LSF4.



Figure 7-17c. Figure 7-1 7c. TCU068 vertical modified time history for the Little Samrnon 1 alffsource.

2.00 * I I * I I I I I

0.~ 00

-2.00 . I I I AC (g).70o 10 20 30 40 50 60 70

Time (sec)

103.00

E 0.00

-103.00 ,I*

0 10 20 30 40 50 60 70

Time (sec)

133.00

0.00

-t33.00 0 0 . 0 I 0 70o 10 20 30 40 so 60 70

Time (sec)



Figure 7-18a.

AI I i I i?

- -_ _ _ _ _ _ ~ J .4 4 _ _ _ __ _

3.5I-t

++ ~~~~~I___ _ - - .-.- -L.- -L--L- L.,',t; ; , I ! H..I I-4 --- I ----- F-'��----- ---I ?�s�J � I : ::

i I 7%61b-~ I A ? I

I If I~~~~~~~~~~~~.1 in I I

oo

0

CE!

CUI-

I-Ci

. __ -I k' j{i - i izXji,. ?

.__,_____i__i Z I I , _ _ i i Ijj_

___..__ ,-ss if ,jt__.__ --- ii iZ

2.5-

2- i I _ _ L | 1II t

. __ . Ii ? , I i 4 -

2.5-_.? _

__ _i 1. i ?5 'i

2 -_ _ -F a l N o r m al iT a g S p e c t r u m

. _ _ _ _ _ _ _ _ _ : !i , I| l ! [

__________~~~~~~~~~~~~~~~~~~~~i I i

_ -- ~LSF -Fault Normalf Target Spectrum -l

Average Fault Normal Match _ _ I1.00~~~~11 .

0.01 0.10 1.00 10.00Period (sec)

Figure 7-1 8a. Compairson of average 5% spectral damping response spectrum for the faultnormal componet and the soil target spectra for the LSF subsource.



Figure 7-1 8b.

'1.-i -

I;____ _____ _____ ______VFPI ivizz�I�I I

I I I' &\ l1�i.3

Q02

C.2

C.)

.3-

i.-__ _ _ ! I__ t_+_ . ~ ~ .l i __

. _ _ _I I _ _ _ _ _ I. i ! j | '

3 ~ _ _ _I_ _ ' .I i -

..-- ,I ;ti ii\\ X<1 _ _ _ i I i ,i

__ _ I I v1g41 =_ ''I'1

.5-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1

2 - _ _; I I I

- _ fi II 7 - 11j____, / - __ -__ , ,1 l m , I

' _ _ ___,_I, I_ . , I I I, I X I

: _____ I__tj I t I I ~i1

_ 5 - i | ,1 1 I I II - li n -1 - LSF -Fault Parallel Target Spectrum

---- Average Fault Parallel Match iV~~~~~- - - I S^IrIIIsWTr

O.

-000.01 0.10 ' 1.00 10.00

Period (sec)

Figure 7-18b. Compairson of average 5% spectral damping response spectrum for the faultparallel componet and the soil target spectra for the LSF subsource.



Figure 7-18c.

-- -- -- -�- ---- 4 --- - .- --

i I

iI

i ! i I I . I l !I- I . . . . . . ; I I �-j- I; I ! I .i I ! 6 I I II ' 1 . 1 1

3.' - i I .

4-- - - - ... ... j -�-I I .

i . I____ . ------ .--- 4-- --I -I II---aI

! ! I I I__________ - � I II ......... �...... III--- 1 lii

fN� I 1 1 j '44-_______ I�t�*�*� i-*-I-I--i i I

-j______ £ I IiI'I

_______ __ I J1K29IvirI

0

*e

Q

.2

0

&,

,

I=.J1- '. i*t4 **X*i I

2 __ I--I-ei -- ,i§ _m2- ii-_____ 7| Z1T L .1L 2aT

1.5 / =__ i -

1-~~~~ i ' 1X I

0.5- __ _ . !_ - LSF - Vertical Target Spectrum t I FT I- - - Average Vertical Match

0.01 0.10 1.00 10.00Period (sec)

Figure 7-18c. Compairson of average 5% spectral damping response spectrum for the verticalcomponet and the soil target spectra for the LSF subsource.



7.6 Time Histories for the Cascadia Interface Subsource

7.6.1 Step 1: Selection of initial Time historiesThe initial time histories selected for the Cascadia interface subsource are given in Table3-2. The selection of these initial time histories was subjected to a peer review by PaulSomerville (Somerville, July 2002). The digital values of the initial time histories areenclosed on the CD-Rom.

7.6.2 Step 2: Spectral Matching for the Cascadia Interface SubsourceThe program RSPMATCH is used to modify the time histories to approximately matchthe Cascadia interface subsource target spectra. Since the time histories will be combinedwith the LSF time histories and rematched, the numerical criteria for enveloping aspectrum as defined in SRP 3.7.1 is not applied.

For each component of each set, three plots are shown: (a) the initial time history, (b) thespectra for the initial and final time history compared to the target spectrum and (c) themodified time history. The plots for the 6 components (2 sets x 3 components/set) areshown in Figures 7-19 to 7-24.

The average of the two horizontal, and vertical components spectra for 5% spectraldamping are plotted in Figures 25a, b, and c, respectively. For comparison, thecorresponding Cascadia interface subsource soil target spectra are also plotted in eachfigure.


Sheet Number: 89 of 187Figure 7-19 Figure 7-19a. La Union fault normal starting input time histories. Date: 11/24/02

0.20 1,,,a I, .,, I I ,- I I,,, I , I I I ., I, I

- .I~All

o 0.00-0

-0.20 l0

14.00

CO 0.00

.14.000

7.00

E

CO MO

A

-7.000

--19

I I I r I I I * . I I I r I I I . I I I I I I I I I Acc(gI

10 20 30 40 50 60 70

Time (sec)

10 20 30 40 50 60 70

ILIIIIw10

Time (sec)

20 30 40 50 60 70

Time (sec)

I

I

II



Figure 7-19b.

IA An...

- � i � I I ' 1 ; ; : I , 1 ' 'i

---- -- -.. r-.-- -4 --44-41-- i I l

---;I +; '

1-n

0

a,

a-

C,,

.~~~~~~~~* _ ______

: _ _ :__ ! : : - -- - :*t *- ..\ . I.7_ _ ~

0 - t--t - Hi -g Spectrum:_ __ I ___, ! -ilZ[Ij

_ _ _ _ _ _ _ _ _ _ _ _ _ - - - . I i - ii i ~ - l aIi

_ Cascadia - Horizontal Target Spectrum tIi_I..* -- Initial Time History Scaled to Target PGA-_ , , _

Modified Time History1 -~.. .. ,, I . . , , I I I , _.,.. _... ..

A~~~~~~~~~~~~~ _ _ . _

0.1

I2r

I.

Ii

i

. . 1

I

il

FIIil

0.00.01 0.10 1.00 10.00

Period (sec)

Figure 7-19b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault normal component for the Cascadiasubsource for set CAS 1.

.. ,-

.. I .



Figurm7-19c. Figure 7-19c. La Union fault normal modified time histories. Date: 11/24/02

0.90

co

0C)

0.00 !g-0.90

70.00

0 10 20 30 40 50 60 70

Time (sec)

00)co

0.00

.70.00

27.00

E- 0.00

20 .

C] -0

0 10 20 30 40 50 60 70

Time (sec)

0 10 20 30 40 50 s0 70

Time (sec)

I .n,. --- l-,



Figure 7-20a Figure 7-20a. La Union fault parallel starting input time histories. Date 11/24/02

0.20

cm

0C.

0.00

-0200 10 20 30 40 50 60 70

Time (sec)

22.00

C,02

E0 0.00

-22.000 10 20 30 40 50 60 70

Time (sec)

15.00

EO 0.00

-2a

-15.000 10 20 30 40 50 60 70

Time (sec)



Figure 7-20b.

I II IH It I-| v.v I

' .-- j j . , -- ,I - I1 .

__ .I: ! _ _ _iI_,_i___ _ ______

I.

allow;~~L__i_- K-

_ -lj .

0

A ^^ I.1. I iti I -0 . s..

M

04-

C.)

0.

CL)

0.1_ _ _ _ _: : 1I E I I I :I I

Cascadia - Horizontal Target Spectrum 1.-- Initial Time History Scaled toTarget PGA

Modified Time History ,

O.C0.01 o.1o 1.00 10.00

Period (sec)

Figure 7-20b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault parallel component for the Cascadia

subsource for set CAS 1.

I

I 7 . '. , ,



Figure 7-20c. Figure 7-20c. La Union fault parallel modified time histories.

0.90

t 0.00t.

.0.900 10 20 30 40 50 60 70

Time (sec)

83.00

a,Co

0.00

43.000 10 20 30 40 50 60

Time (sec)

70

37.00

E0 0.00

-37.000 10 20 30 40 50 60 70

Time (sec)


Sheet Number: 95 of 187Date: I11/24/02

Figure 7-21a. Figure 7-21a. La Union vertical starting input time histories.

0.20 I hi

o 0.00

-0.200 10 20 30 40 50 60 70

Time (sec)

16.00 . .,1

-0.00

0 10 20 30 40 50 60 70

Time (sec)

15.00

0.00

-15.00 * I I * t * I , * I I * I I I I I0 10 20 30 40 50 60 70

lime (sec)


Sheet Number: 96 of 187Date: 1 /24/02

Figure 7-2 lb.

10.

1.'Cn

0

0)

8

tsa)a.

(I)

0. -i Vrtic-a__T__r____t Spectrum___ _' I,- . i -, ''i, .

.~~ ~ . .... Inta Tim Hitr Scle to Tage I

' ' --- '-M i Time H-is-t-o-r .oo I < . . X I- .-- L- -~~ - x . j- 2-,_ I ) 1 ,.

___~ ~ Ii I. il-t _ t _i~l I Ii XX

.0 _ _ - Csai a Vri c ! I~agtpcrmT

-__ Moiie-m Hsoyi

01- ~ __ ! .L L I . . r'|. . * !i Cas a a - Veti a Ta ge Spe tru

0.1

O.(0.01 U.10 1.oo 1 0.00

Period (sec)

Figure 7-21b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the vertical component for the Cascadiasubsource for set CAS 1. .-

Calc Number: GEO.HBIP.02.05Rev Number 0

Sheet Number: 97 of 187Date: 1.1/24/02

Figure7-21c. Figure 7-21c. La Union vertical modified time histormes.

0.80

0C)

0.00I

-0.800 10 20 30 40 50 60 70

Time (sec)

42.00

0, 0.00

-42.000 10 20 30 40 50 60 70

Time (sec)

28.00

E0

la0.00

-28.000 10 20 30 40 50 60 70

Time (sec)

." . . . I '- - - 1. : .. - . . i � .. .'. - . ..



Figure 7-22a. Figure 7-22a. Vina Del Mar fault normal starting input time historiesate: 11/24/02

I

0.40

ICD

0.00

-0.4010 20 30 40 50 60 70 80 0o 100 110

Time (sec)

31.00

C)0)to

lu 0.00

-31.000 10 20 30 40 50 60 70 80 90 100 110

Time (sec)

6.00

E0.00

0

-6.0010 20 30 40 50 60 70 80 90 100 110

Time (sec)

-, , t, - Z.



Figure 7-22b.

10.00,--

.. t --;:I.

; 1: i

! ! I I- -- �1- -- - ---- 4-4-1------, -

i I I_________________~ ~ ~ - -.----- - I I

-. .* I K.4 nnrI. .UU1 I

I ;-. -.-- I- I -.

I i., . I I i

0

FU

C.)

U)

1~~~1 ~~I 11111l! -J ! T

- Cascadia - Horizontal Target Spectrum I I

, '1 ' I '1t14 i'~~~~~~~~~~~~~ I i1 .

. Initial Time History Scaled to Target PGA f i '

- _ Modified Time History 1 | |30- _,' *;

o.1

0.10.01 0.10 1.00 10.00

Period (sec)

Figure 7-22b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault normal component for the Cascadiasubsource for set CAS2.

<-I



Figure 7-22c. Figure 7-22c. Vina Del Mar fault normal modified time histories.

0.90

laC) 0.00

0

-0.900 10 20 30 40 s0 60 70 80 90

Time (sec)

68.00

0CD

2 0.00

468.00

6

I

0 10 20 30 40 So 60 70 80 90

Time (sec)

30.00

E0

(I,0.00

.30.000 .10 20 30 40 s0 60 70 80 9o

Time (sec)


SheetNumber: 101 of 187Date: 1 F /24/02

Figure 7-23a. Figure 7-23a. Vina Del Mar fault parallel starting input time histories.

0.30

Scm

-0.300 10 20 30 40 50 60 70 80 90 100 110

Time (sec)

26.00

i 0.00

-26.000 10 20 30 40 50 60 70 80 90 100 110

Time (sec)

5.00

E

0.00c)01c:

-5.000 10 20 30 40 50 60 70 80 90 100 110

Time (sec)

. . .. . . .. . .



Figure 7-23b.

C0

a)

U,

Perod (sec)

Figure 7-23b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the fault parallel component for the Cascadiasubsource for set CAS2.

I.

Caic Number: GEO.HBIP.02.05Rev Number: 0

Sheet Number: 103 of 187Date: I11/24/02

Figure 7-23c. Figure 7-23c. Vina Del Mar fault parallel modified time histories.

0.90 a

o 0.00

01020304050607080~~~~~~~~~~~~~~~~~~Ac g

-0.90

Time (sec)

76.00

~0.00

-76.00 I I f I I t t t i IV c~e0 10 20 30 40 50 60 70 s0 9

Time (sec)

32.00 I*

0.00

-32.00f I I II I I

)O

0

0 10 20 30 40 50 60 70 , 80 90

Time (sec)



Figure 7-24a. Figure 7-24a. Vina Del Mar vertical starting input time histories.

0.20

c 0.00C.)

-020

9.00

E o~oo0

.9.00

3.00

0 0.00

-3.00

C.

II

0 10 20 30 40 50 60 70 so 90 100 110

Time (sec)

0 10 20 30 40 50 60 70 80 90 100 110

Time (sec)

D 10 20 30 40 50 60 70 £0 90 100 110

Time (sec)



Figure 7-24b.

I U.UUI

I . : i4--- - ---.- I-- 1 ri

I l 1 : ! !

1.00-

C0

0)

O 0.10-O

-a

CD,

_______ _______ 1 i III �.. I1II� I ...$ I

'III I I III

___ it ___ I i I'I � j�'II�

_________ ____ I_______ ____ I .1_______ ____ I

IIi

0.01-

T i go 4 I i I I I

I - Cascadia - Vertical Target Spectrum

.--- -- Initial Time History Scaled to Target PGA

Ii____ 1 i~iIllE

I I i II l ilT- Modified Time History I

I. I%~ ; I i I I I I* i I iU-tXi J

0.01 0.10 1.00 10.00Period (sec)

Figure 7-24b. Initial response spectrum scaled to the target PGA value, modified responsespectrum and target response spectrum for the vertical component for the Cascadiasubsource for set CAS2.

4. ..



Figure 7-24c. Figure 7-24c. Vina Del Mar vertical modified time histories. Date: 11/24/02

0.80 I I I

o 0.00

-0.800 10 20 30 40 so 60 70 80 90

Time (sec)

41.00

E 0.00

t^°OOOO+I,,~~~~~~~~~~~~I~~~arl/secM~~~~~v, (]sc41.00

0 10 20 30 40 S0 60 70 80 90

Time (sec)

22.00

0.00co

22.0 ' ' ' I ' ' I' ' I ' ' ' ' I ' ' I ' ' ' ' I ' ' I ' I ' ' osn ' ,

0 10 20 30 40 so 60 70 80 90

Time (sec)



Figure 7-25a

.. I .I I I I I I

.~~~ ,'~..1 IN ! I

4 -

8 II I i

1 ___ - -- jj��___ _____ ______ �-.�-�-i I I

1.e ! i ; . I I I i"! I I in .~-- .- ~ .. ,-

*.V

I 1 ._ j 1.I i I Ii ' I i i I * I I

I__ [ i IZ ijjI -. : i. I i 1

0.H

eo

a-

K

W

I.. : _'.-,.1S ^ .,. 1\11 _T#~~~ 1.2~*~31 _ i . -HT> -- --

T - I

1.2- - Hizota _are S ipecit r um. L!

, . ! i IAerag Hoiona #1 iMatch _ | ,

. _ _ _ i _ __ _ I i 'IS1 I I i 1h, \l

1-__ _____ I _ I ,_ i , _____i __ Ii I i i!. i i i I i1i

0.4__ ii_____.: I II i |i

_ _ _ _. , ._ _ _ _ _\ i 2

0.6- - as dia-oiotl~re~etrm .t 2\i i___'_

---____ Average Horizontal_ II Mac,| !

o ~ ~ ~ ~~

0.01 0.10 1.00 10.00Period (sec)

Figure 7-25a. Compairson of average 5% spectral damping response spectrum for the horizontal#1 componet and the soil target spectra for the Cascadia interface subsource.


Sheet Number 108 of 187Date: 11/24/02

Figure 7-25b.

III I 1 i I ? _ I I! I i I I

1 It A' t 1, ! I i--IT--[-i 1 1 i l iI-_ -- :Z i i i i i1.o , ~. i II I , . I 1, !- .-- 4

, I I

______ -__________ ~ z z~zi iz z L I-- t !EL - -j I . i i- j~~~~~~~L-r- -wfail I I 1 1.fI Ir

1 ! III -1I ;- . I. .. - I I I .. .

-.. It I----- -t -- --- - i ---I----I

I ! I lk ! | I

1.

Coc.a-.

C.)

0 0.V)

: r-lF / ~~~~~~~~~~~~~~~~~~I i - ' I i I

.4- ___ __ _ 1 I_<[ I.

2 - _ _ I t iih u ? \ || | ! i

______!_ I I I I Ir!

__i_. I I IF ]f t L I i 1

. I 'Jr !l t 11 ' - I i l i ij ' II

1- __ __ __ 1 ' 1 I t i *I __i________

___ ,I I, I I __ II I i i I _11.6- '_ j!'I _ | | ! _____t

^_ , . , | I _I I ! | | i

0.

n

0_2___ I __ -- ff ~ i~0.2- _ - - Cascadia - Horizontal Target Spectrum

Average Horizontal #2 Match _ .ra0- _ . .- ; .i.1, ,1;t= jT

0.01 0.10 1.00 10.00Period (sec)

Figure 7-25b. Compairson of average 5% spectral damping response spectrum for the horizontal#2 componet and the soil target spectra for the Cascadia interface subsource.



Figure 7-25c.

-I

1

I

1

-� -4 j1 'JIII I_____ ____ I: liii ______ _________ ___ 1 _____ ____

3 I _____ I'll II_____ it ______ iii _______ ____

____ ____ 'I] .L222___ __ III ___ J __

.6- 1_________ I ________

____ ___ __ __________ I _____ IZii� ____

4 ____ T ___ Ii

iiIii�t II I

.8- � ± '* _____ iii-'- '�I L..4. . I

on,_,i

a-.2

0U

I i I !I I Iiuo- ~ ~~~~ , h .. , .I , .. , , .,,, .....I

-- I I - ___ I8 I I I

0.2-~~~~~~

0.2 - i ~ ~Cascadia - Vertical Target Spectrum I I ,

_ --- Average Vertical Match I0- _ ; .s. . , .11i1 I ! I 7U.U1 U.10 1.00 10.00

Period (sec)

Figure 7-25c. Compairson of average 5% spectral damping response spectrum for the verticalcomponet and the soil target spectra for the Cascadia interface subsource.



7.7 Time Histories for the Synchronous Rupture

7.7.1 Sten 1: Relative Timing for LSF and Cascadia interface Subsources.The relative timing of the LSF and Cascadia interface time histories were computedbased on two locations of the rupture from the Cascadia interface subsource (see Section3.4) and the assumption that the fling will occur during the time of largest velocity (seeSection 3.5). The relative time delay for the LSF subsource time histories are listed inTable 7-13 for each of the four synchronous rupture time history sets.

Sets 2 and 4 assume the initial rupture of the Cascadia would occur interface near itsouthern end and thus create a shorter time shift between the two events. This wouldplace the LSF event close to the first part of the Cascadia interface strong ground shakingportion. Sets I and 3 assume a northern rupture and would thus place the LSF event nearthe latter part of the strong ground shaking portion of the Cascadia interface event.

Table 7-13. Relative timing delays and LSF and Cascadia interface subsourcecombinations for the four synchronous rupture cases.

LSF Subsource Cascadia InterfaceSubsource

Set LSF Station Time shift of the LSF time CAS Set StationSet history relative to the start

of Cascadia time history(sec)

I LSFI TCU052 10.0 CASI La Union2 LSF2 Tabas 6.0 CAS2 La Union3 LSF3 TCU 102 7.0 CAS3 Vina Del Mar4 LSF4 TCU068 0.0 CAS4 Vina Del Mar

7.7.2 Step 2: Combine time historiesUsing the time shift from step 1, the time histories from the Cascadia interface and LSFsubsources are combined to develop four sets of synchronous rupture time histories. Thefour sets are listed in Table 7-13. The horizontal components of motion from theCascadia interface subsource time histories were combined to the fault normal and faultparallel components of motion for the LSF subsource as given in Table 7-14.

Table 7-14. Horizontal combination of the Cascadia interface subsource and LSFsubsource time histories.

Set Fault Normal Fault Parallel1 LSF1 (Fault Normal) + LSF1 (Fault Parallel) +

La Union (Comp 090) La Union (180)2 LSF2 (Fault Normal) + LSF2 (Fault Parallel) +


Sheet Number: I i I of 187Date: 11/24/02

La Union (Comp 090) La Union (180)3 LSF3 (Fault Normal) + LSF3 (Fault Parallel) +

Vina Del Mar (Comp 200) Vina Del Mar (290)4 LSF4 (Fault Normal) + LSF4 (Fault Parallel) +

I Vina Del Mar (Comp 200) Vina Del Mar (290)

7.7.3 Step 3: Spectral Matching for the Cascadia Interface SubsourceThe program RSPMATCH is used to modify the time histories to match the synchronousrupture target spectra. The input and output files used in the spectral matching are givenon the enclosed CD-ROM (enclosure #1). For each component of each set, three plots areshown: (a) the initial time history, (b) the spectra for the initial and final time historycompared to the target spectrum and (c) the modified time history. The plots for the 12components (4 sets x 3 components/set) are shown in Figures 7-26 to 7-37. As requiredby the Work Plan, base line correction was performed for each component. The resultscan be seen from these Figures that show both velocities and displacements approachzero toward the end of the time histories.

The average of the fault normal, fault parallel, and vertical components spectra for 5%spectral damping are plotted in Figures 38a, b, and c, respectively. For comparison, thecorresponding synchronous rupture soil target spectra are also plotted in each figure.


Sheet Number: 1 12 of 187

Figure 7-26a. Figure 7-26a. Synchronous Setl fault normal starting input time his~t)ed/ 2 4/02

2.00

0.00

-2.000 10 20 30 40 50 60 70 so

Time (sec)

3719.00

(D

~0.00

-379.000 10 20 30 40 50 60 70 80

Time (sec)

310.00

0.00

-310.00 , I , .I I, I .I I I .I I I , I , . . . Pis',(a)0 10 20 30 40 50 60 70 80

Time (sec)



Figure 7-26b.

10.00

04-

1..

I 1.00

-aCL.0.

co

n ir

__________________________ I! L. { .. 4 �_______ ____ ____ ____ ii

I ________________ I I -- -.--- I_______ __________ ___________ I ��1*

1TI I�i ____ ____ 'II,.!. III�I

�1_________ I ______ I �. j�jf I �.

. I I_______________ I�L.:I I.�'I

I II *I�.'....�t.....r ____ I II-� ____ II II

I.

I-

.,.....................i.....

I 11 N4 .- �---.

i I

_______ v-I II -- - LI1 . 114_____ �-1II I. II_______________ I ________

______ iii-�. If I � � II___ I Iii

I T�__________ _____ I I

I - -- ---I I T T

- Synchronous - Fault Normal Target Spectrum

.....Initial Synchronous Setl (FN) Time History

- Modified Time History

I ! ' i I I .

I I I I F I II I IV. ev-. _

0.010I . . . . ..

0.100 1.000 10.000Period (sec)

Figure 7-26b. Initial response spectrum, modified response spectrum and target responsespectrum for the fault normal component for the synchronous rupture source Set1.


Sheet Number: 1 14 of 187Date: 1 1/24/02

Figure 7-26c. Figure 7-26c. Synchronous Setl fault normal modified time histories.

2.00

cm

aA:

0.00

-2.000 10 20 30 40 50 60 70 80

Time (sec)

418.00

0C)

020.00

-418.000 10 20 30 40 50 60 70 80

Time (sec)

343.00

E0M

0.00

I I I , I * * , , . . PlS,(Cn )-343.00

0 10 20 30 40 50 60 70 80

Time (sec)

.. .

- - ~. .-,..'' .... ,,;; ' .;

Calc Number GEO.HBIP.02.05Rev Number 0


Figure 7-27& Figure 7-27a. Synchronous Setl fault parallel starting input time hi!R8i&b!V 24102

2.00

o 0.00U

-2.00

281.00

0 10 20 30 40 50 60 70 80

Time (sec)

0U)(I

0.00

-281.00

104.00

0 10 20 30 40 50 60 70 80

Time (sec)

E0

a)0.00

-104.000 10 20 30 40 50 60 70 80

Time (sec)

*~~~~~. ......



Figure 7-27b.

n4 n AnI U.

1.0)C

a)

I-.

0.

...'..............

_____4 I I , r

Synchronous -Fault Parallel Target Spectrum{

.Initial Synchronous Setl (FP) Time History i |

-Modified Time HistoryI_ I II I i1 I

O.

0.U.U1 v U.1UU 1.UUu 10.000

Period (sec)

Figure 7-27b. Initial response spectrum, modified response spectrum and target responsespectrum for the fault parallel component for the synchronous rupture source Setl.

Ii

II.1


Sheet Number: 117 of 187Date: 1 /24/02

Figure 7-27c. Figure 7-27c. Synchronous Setl fault parallel modified time histories.

2.00

cm0

0.00 40M

-2.000 10 20 30 40 50 60 70 80

Time (sec)

296.00

06Q)

a, 0.00

I -- T- - - - - -a , I , I I III I I I

I I I I I I * I I I I I I . . .* , I * ., jM (C rm -)Isc-296.00

0 10 20 30 40 50 60 70 80

Time (sec)

108.00

0

02

0.00

-1 08.000 10 20 30 40 50 60 70 so

Time (sec)

-

77



Figure 7-28a. Figure 7-28a. Synchronous Setl vertical starting input time historieJst. 11/24/02

2.00

l)

)A:

0.00

-2.00

109.00

0 10 20 30 40 50 60 70 80

Time (sec)

E(. 0.00

.109.00

93.00

-93.00

10 20 30 40 50 60 70 80

Time (sec)

I I I I I . I i . I I . I . I . . I . I I . I I I . I 1 4 4

I I I I I I . . I I t . I t I I I f I I I I I I I . . . . I . . . . P '. (CT )0 10 20 30 40 50 60 70 80s

Time (sec)

t

I* . .- .. .-. . . .. ...-..--- -- :- -


Sheet Number: 1 9 of 187Date: 1 1/24/02

Figure 7-28b.

1 0.00-r-_ _ _ _ _ _ _ _ _ _ I

j--i iI -I -F ---I----4 .. - -L -~ --r T . l -.-VrT[ ; -

1.M

C0

Ii

I-a)

a(/)

............ . ...i..1.[, 1i

________ _ _ F 1 1 . i l i F; l

Syn u - Vertirca Target Spectrum - -i

.... Initial Synchronous Setl (Vertical) Time History - I tillJ - Modified Time History

.01-

o.

0.0.010 0.100 1.000 10.000

Period (sec)

Figure 7-28b. Initial response spectrum, modified response spectrum and target responsespectrum for the vertical component for the synchronous rupture source Setl.


Sheet Number: 120 of 187Figure 7-28c. Figure 7-28c. Synchronous Setl vertical modified time histories. Date: 1 1t24/02

2.00

0.000cn

-2.00

98.00

0 10 20 - 30 40 s0 60 70 80

Time (sec)

00)

.i3 0.00

-98.00

71.00

0.00

0 10 20 30 40 so 60 70 so

Time (sec)

U

COae

I I I . I I I I I I I I I I * I a I I S I S I I I I S I I

I I t I I i I I a I # I f I I I I I I I f I t - - - I . . . P s,(CT)-71.00

0 10 20 30 40 s0 60 70 80

Time (sec)


Sheet Number 121 of 187

Figure 7-29& Figure 7-29a. Synchronous Set2 fault normal starting input time hisR*F.P/24102

2.00

o 0.00

-2.00 190 10 20 30 40 50 60 70

Time (sec)

609.00

~0.00

-609.00 I I I I I 9 I i t I I I II *~

0 10 20 30 40 50 60 70

Time (sec)

302.00 I *

0.00

-32.00 I I , I I I I0 10 20 30 40 50 60 70

Time (sec)



Figure 7-29b.

1 0.00 --

C0

4-

a,0

Cl)

Perod (sec)

Figure 7-29b. Initial response spectrum, modified response spectrum and target responsespectrum for the fault normal component for the synchronous rupture source Set 2.



Figure 7-29c. Figure 7-29c. Synchronous Set2 fault normal modified time historiegate: 1 /24102

2.00

oq

0 0.00O

-2.00

634.00

n

X 0.00

D

-634.00

320.00

0 10 20 30 40 50 60

Time (sec)

70

0 10 20 30 40 50 60 70

Time (sec)

E

0.eaz

0.00

-320.000 10 20 30 40 50 60 70

Time (see)



Figure 7-30a. Figure 7-30a. Synchronous Set2 fault parallel starting input time hipfiey!'24 /02

2.00

C.0

-2.00 I I I * * I * * I

0 10 20 30 40 50 60 70

Time (sec)

178.00 I 1

0.0

-178.000 10 20 30 40 50 60 70

Time (sec)

56.00

0.00

0 10 20 . 30 40 50 60 70

Time (sec)



Figure 7-30b.

in nn_.u11vu1

i K. 12 i -i i - I

i nn.....uu

CD

C015.

a)

8

a-(I,

-- i__i.!55i ', _ ,

. i| U _-1!!I _ i I

_ .i . I II|

_ _ _ _ _ _] !Z T rr- _ _ _ _ _ Xj

- - Synchronous - Fault Parallel Target Spectrum _ _

.----Initial Synchronous Set2 (FP) Time History

Modified Time History J~I I *I T 7 I z

0.10

0.010.010 0.100 1.000

Period (sec)1 0.000

Figure 7-30b. Initial response spectrum, modified response spectrum and target responsespectrum for the fault parallel component for the synchronous rupture source Set2.



Figure 730c Figure 7-30c. Synchronous Set2 fault parallel modified time histori~a.te: 11/24/02

2.00

C 0.00

-2.000 10 20 30 40 50 60 70

Time (sec)

171.00

0

00.00

I I * * . a I I I I a I I I * I I I I I I

* * , I * * * * * ~~~~~~~ Vel (cn sec).171.00

0 10 20 30 40 50 60 70

Time (sec)

77.00

E

0M0.00

-77.000 10 20 30 40 50 60 70

Time (sec)


Sheet Number: 127 of 187Figure 7-31 a. Synchronous Set2 vertical starting input time historinate: 11/24/02

Figure 7-31 a.

2.00

Cn

C)0.00

-2.00

115.00

0 10 20 30 40 50 60 70

Time (sec)

C.)

I 0.00

-a

-115.00

82.00

E0.00

C

-2.00

0 10 20 30 40 so 60

Time (sec)

70

0 10 20 30 40 50 60 70

Time (sec)

. ..- . . . . . .. . -~~~~~~~~~~~~~~~~~~~~I. ?.e 7 - .



Figure 7-31b.

0)

.0

a)am

(aa.)

0.1

Perod (sec)

Figure 7-3 lb. Initial response spectrum, modified response spectrum and target responsespectrum for the vertical component for the synchronous rupture source Set2.



Figure 7-31c. Figure 7-31c. Synchronous Set2 vertical modified time histories. Date 11/24/02

2.00

tMO

0.00

-2.00

103.00

0 10 20 30 40 50 60

Time (sec)

70

M(a

0.00

-103.00

61.00

0 10 20 30 40 50 60 70

Time (sec)

.

a,0.00

61.000 10 A 20 30 40 50 60 70

i

i

I

iiI

I

Time (sec)

II



Fgure 7-32a. Figure 7-32a. Synchronous Set3 fault normal starting input time hiRM6AM1 24102

2.00

cm

a.U

0.00

-2.00

500.00

0 10 20 30 40 50 60 70 80

Time (sec)

a,a)

0.00

-500.00

348.00

E

.348.00

0 10 20 30 40 50 60 70 80

Time (sea)

0 10 20 30 40 so 60 70 80

Time (sec)

. ? . . . .. -'.



Figure 7-32b.

10.00-r-

C

0

U,

Perod (sec)


.. - - I



Figure 7-32c. Figure 7-32c. Synchronous Set3 fault normal modified time histories.

2.00

o 0.000

2.00

501.00

0a)

2 0.00

-501.00

0 10 20 30 40 50 60 70 80

Time (sec)

0 10 20 30 40 50 60 70

Time (sec)

80

353.00

E

oa.]0.00

I I I , i v . .. i - t - t i - t - - i . . . . i - - - , i . . . . P'.(cT) p * , ,-353.000 10 20 30 40 50 60 70 s0

Time (sec)



Figure 7-33a. Figure 7-33a. Synchronous Set3 fault parallel starting input time hi itnes.'241 02

-2.000 10 20 30 40 50 60 70 80

Time (sec)

191.00

~0.00

.191.00 T * el (cn~sec)0 10 20 30 40 50 60 70 80

Time (sec)

86.00

0.00

-86.00 II iI * I I I * . . . . P i( )..0 10 20 30 40 s0 s0 70 80

Time (sec)



Figure 7-33b.

10.00, .- -

tM

C0

a)a)

Cn

c-)

1.

0.

Period (sec)




Figurt 7-33c. Figure 7-33c. Synchronous Set3 fault parallel modified time historik~te: 11/24/02

2-00

0,

UO

0.00

-2.0010 20 30 40 50 60 70 80

Time (sec)

215.00

U'I)

0.00

-215.000 10 20 30 40 so 60 70

Time (sec)

80

91.00

C.)

50.00

-91.000 10 20 30 40 so s0 70 80

Time (sec)

- .. . 1... .- I-. . .- ... ."-.-. t -- ,," '"" ,",,-, -



Figure 7-34a. Figure 7-34a. Synchronous Set3 vertical starting input time historiegate: 11/24/02

2.00 . I I I I I S I . | .

o 0.00

-2.00 l l I l l | Ace )0 10 20 30 40 50 60 70 80

Time (sec)

92.00

~0.00

.92.00 I I * * * I *0 10 20 30 40 50 60 70 80

Time (sec)

73.00 I

0.00

-73.00 lo (CT,0 1 0 20 30 40 so 6 70 An

Time (sec)



Figure 7-34b.

4 I ^ff rI �J.UV

L

- � ii__ lift I H

I III

II,I I I

I � �l�I j *1

I II * I. . _ _

a)0IiC.,

C,,0.

-t-I -__1 IL i7

.,- 1- 1 1 1I~fT1 ,<t~i-

. -Ii 4 a lt I .. i fjlt! - l l l l

10 ___. I~ s l i If . l * .l ~ _- I *

Synchronous - Vertical Target Spectrum i

.*---- - Initial Synchronous Set3 (Vertical)Time Histor y |

Modified Time History | |K ||

fl ,a , 110.1

0.010 0.100 1.000Period (sec)

10.000

Figure 7-34b. Initial response spectrum, modified response spectrum and target responsespectrum for the vertical component for the synchronous rupture source Set3.



Figure 7-34c. Figure 7-34c. Synchronous Set3 vertical modified time histories.

2.00 I I ' I l l l I

o 0.00

-2.000 10 20 30 40 50 60 70 80

Time (sec)

82.00

0.0

-82.000 10 20 30 40 50 60 70 80

Time (sec)

62.00 o 4 \ I I

E0.00

-62.00I I I t I II t0 10 20 30 40 50 60 70 80

I

Time (sec)



Figure 735La Figure 7-35a. Synchronous Set4 fault normal starting input time hisd?1AP24102

.

2.00

00

0.00

-2.000 10 20 30 40 50 60 70

Time (sec)

80

403.00

0CDco

0.00

403.000 10 20 30 40 50 60 70

Time (sec)

80

260.00

E

00.00

-260.000 10 20 30 40 so 60 70 80

Time (sec)



Figure 7-35b.

.d I ^^dIIj IJ ItLI-. -

i I1I

C0

a).

C.)0) 1.1

I-

U,

Snhoos- Faut Noma Tage Spectrum

. I _ia Ir l i T I Istory

_ _ _il I I f fi J

Modified Time History

10 I ;i t i lil! ll

S..~~~~~~~~~~~~~~~~~~~~~~~~~~ .

o. - I

0.010 0.100 1.000Period (sec)

1 0.000




Figure 7-35c. Figure 7-35c. Synchronous Set4 fault normal modified time historiea.te 11/24/02

2.00

o 0.00C)

-2.000 10 20 30 40 50 60 70 80

Time (sec)

442-00

C-0,COEU~:

0.00

-442.000 10 20 30 40 50 60 70

Time (sec)

80

323.00

E

at0.00 I I i I I I *I I I a i a I a i i I I - I I I I I ptsIcI lI

-323.000 10 20 30 40 so 60 70 8o

Time (sec)

4



Figure 7-36a Figure 7-36a- Synchronous Set4 fault parallel starting input hime ate: 1 1/24/02Figoure 7-36a. Fiue7-36a. Snho usSet4 fault parallel strig ipttime s~ories.

2.00

o 0.00

-2.00

211.00

0 10 20 30 40 So 60 70 80

Time (sec)

a)

I 0.00

-211.000 10 20 30 40 50 60 70

Time (sec)

80

98.00

C

0 0.00

-98.000 10 20 30 40 so 60 70 80

Time (sec)

.�0 . ; -



Figure 7-36b.

0

am

as

C.)0.i,

Perod (sec)


Figure 7-36c. Synchronous Set4 fault parallel modified time histories.

2.00

UCY)0.00

-2.000 10 20 30 40 50 60 70

Time (sec)

80

246.00

Ua)U)

0.00

-246.000 10 20 30 40 50 60 70

Time (sec)

80

96.00

EU)

M0.00

-96.000 10 20 30 40 50 60

Time (sec)

70 80

-39£-Lt aim1

LS I jo t'I :joqwnNR iaasAl :.MQU.MJ AaW

9~ ~ ~ ~~II*QQ:l~fN~~.--



Figur 737igure 7-37a. Synchronous Set4 vertical starting input time historieg.e 11/24/02

2. 0.0

0.00 ITT~~ I *I **~cg

-2.00 8p 90 10 20 30 40 s0 60 70 80

Time (sec)

107J.00 , , , . I F I

-107.000 10 20 30 40 so 60 70 so

Time (sac)

149.00

0.00-149.00 , , . . I , \ . . * * . . . .~C

0 10 20 30 40 50 60 70 80

Time (sec)

. . .~~~~~



Figure 7-37b.

14

(L)i3)C.El)

(a

L-

co,

Perod (sec)

Figure 7-37b. Initial response spectrum, modified response spectrum and target responsespectrum for the vertical component for the synchronous rupture source Set4.



Figure 7-37c. Figure 7-37c. Synchronous Set4 vertical modified time histories. Date 11/24/02

2.00

laO

0.00 I iLl I II 11 01i � hILI - �41 � 0

-2.00

93.00

0 10 20 30 40 50 80 70 80

Time (sec)

0U)

0.00

-93.000 10 20 30 40 So 60 70

Time (sec)

80

91.00

0s 0.00 I a a I a I , , . I pI I In

-91.000 10 20 30 40 50 60 70 80

Time (sec)



Figure 7-38a.

3.

______ - 'I___ _I

___ I I ___ I

ii 1 :1' I Ii

____ _______ I ii ______ _____ *11 ____

II3 _____ _______ I ji

I I�IL___ ___ -- I- I I -:_____ _____ II -i ____ I_____ _____ .1 i.........-.' 'I

-� - _____ L -

5- ___ I_______ II I I -, I *j-*j�****��j______ I____ -� I IIJ

I. -

2 I I 'I Ii I III

____ I K-______ I ii .f-...............j I

en 2.

0El

I-AIs

! I I.1 i{ i i ~i I I

-r I. IXj�� I .fI ______ I 'I .t---..-.--.-.I I

_______________ ' 1 -..-....-.--...--..........i I ________________ .1

I. ______ *1 I liii______ � i I______ I I I I____ I I I _____

______ I - - I 1i�i�_______ _____ � r �

5 _________________ ___ I I Ij�!- I Ii I

L-i - Synchronous - Fault Normal Target Spectrum

- --- Average Fault Normal Match_~~~~ a I I . I , I * I

I.I

- I - I I

I~

A0- 1

0.01I I . I I 0.I 1 0

0.10I .01.00

1 0 . 0 010.00

Period (sec)

Figure 7-38a. Compairson of average 5% spectral damping response spectrum for the faultnormal componet and the soil target spectra for the synchronous rupture.

dv.



Figur 7-38b.

LI.-.I I I i I I I !

. 11 ! I ' I I I l

0

E-

I-

J.-___________ ____________ , I0 i -l1l

3-. ' t-- ---t - - --< .---- 5-~ t r '35._ / ; i W I t' | i f | I I I i

3- I - { 11 1t1: X ' 1li-

2.5-

2- _ i 1|

1.5- _ _ _ I ,

1- i_ I ', ; H I! ' i 15'

- - Synchronous - Fault Parallel Target Spectrum I i il !i

_ --- Average Fault Parallel Match I t

0-~~~~~~~~~ ; .., ;., , ; .; !!

0.01 0.10 1.00 10.00Period (sec)

Figure 7-38b. Compairson of average 5% spectral damping response spectrum for the faultparallel componet and the soil target spectra for the synchronous rupture.



Figure 7-38c.A C

0

(j!

3 2-- l j

4 ___ Ii Iit II

2- ~ ~ ~ ~ -4 -

3.5I -~~~-~-I~~~ 1-ik

_ _ _ __ _ _ _ J

____ ____ honos -Verica TagetSpetru

3. 'IiiAercr VetialMac

0.01 0.10 1.00Period (sec)

10.0e

Figure 7-38c. Compairson of average 5% spectral damping response spectrum for the verticalcomponet and the soil target spectra for the synchronous rupture.



7.8 Addition of Fling Time Histories to the Fault Normal and Vertical Components

7.8.1. Step 1: S-wave arrival timesThe approximate arrival times of the S-waves is estimated by visual inspection of thefault normal component velocity time histories. The selected arrival times are listed inTable 7-14.

Table 7-14. Arrival time of fling for synchronous rupture.

Approximate Arrival TimeArrival time of of fling (to)

Set S-waves (sec) (sec) Reference for S-wave time1 23 sec 20.9 (Figure 7-26c)2 14 sec 12.75 (Figure 7-29c)3 1 20 sec 18.7 (Figure 7-32c)4 9 sec 7.2 (Figure 7-35c)

A fling arrival time is selected by visual inspection of the interference of the velocity ofthe transient motion and the fling on the fault normal component (Figures 7-39a, 7-41 a,7-43a, and 7-45a). The selected fling arrival time are listed in Table 7-14.

The same fling arrival time is used for the vertical component. If the fling on the verticalcomponent resulted in destructive interference with the velocity, then the polarity of thevertical component (without fling) was flipped. This occurred only for set 2.

Since the HBIP is on the northeast side of the LSF (on the hanging wall), the permanenttectonic deformation at the site will be positive up and to the southwest. In the timehistories the fling has a positive polarity. Therefore, the positive direction of the faultnormal time history is to the southwest and the positive direction of the vertical timehistory is up.

7.8.2. Step 2: Flin! Time HistorvThe period of the fling, Tfljng, is assumed to be equal to the period of the fling for stationTCU068N from Chi-Chi (assumption 3-6). The value of Tfling for TCU068N is given by3.7 x 1.78 (input 4-10) which equals 6.59 sec.

The amplitude of the fling ground motion is computed using the fault slip (input 4.1), andthe relative tectonic deformations at stations TCU052 and TCU049 (input 4.10) andassumption 3.7). From input 4.10, the tectonic deformation at the hanging wall stationTCU052 is given by the vector sum of the amplitude on the two components:

AMPwcl10 52 =;838.72 +33.12 =839.4 cm

AMP6u5494 65.72 +41.22 =77.5cm



The total tectonic deformation is the sum of these two values, so the fraction of the totaldeformation that occurs on the hanging wall side is given by

AMPM1r0os2 839.4 =0.915AMPTC(1052 + AMP7r -1049 839.4 + 77.5

From input 4.1, the slip on the fault is 7.0 - 9.3 m. The mean of this range is 8.15 m.Multiplying this mean fault slip by the ratio 0.915 gives the tectonic deformation on thehanging wall side:

Ampltiude Fling = 8.15m x 0.915 = 7.5m

Since the fault has a mean dip of 45 degrees (input 4.1), this total tectonic deformation isseparated onto the fault formal and vertical components (multiplied by I/sqrt 2).Therefore the amplitude on the vertical and fault normal components is 5.3m (Dsite).

In acceleration, the amplitude of the fling is given by eq. 5-8

Aml 2) D~1 2;r 530cm2nA(cm/s ) = D swe r659scm2 =76.68cm/s2 = 0.0782g

Using eq. 5-6 with A=0.0782g, Tfling = 6.59 sec (co=0.9534 rad/sec), and the t1 values inTable 7-14, the fling time history is determined. The computed fling time histories areshown in Figures 7-39 through 7-46 for the fault normal and vertical components.


1.5- Rhpept Nizmhi-r 1 S1 nf 87

Fi ure 7-39a Fault Normal Time 02

1.0 - Fling Time History

0.5-

00.0- Ao~~~s 11M111 ~~~~~11 l IlrllI'

-0.5 AM-1.50

0 10 20 30 40 50 60 70 80

250.0-

JU-

E A. AO LA _ *J *.~ AIXAA *h aA/>°~~~~~IV --Vi~yllvR1Z r

-250.0- l Fault Normal Time Historyt

- Fling Velocity Time History1500.0- . I , 5 , 7 80

0 1 0 20 30 410 5 0 6'0 710 8-0

600.0_ ,-

300.0-0

-300.0- - Fault Normal Time History|

. | ~~~~~~~~~Fling Displacement Time Histor|-600.0-6 I . I I I . I

0 ~~10 20 30 40 50 60 70 80Time (sec)

Figure 7-39a. Synchronous Set1 fault normal modified acceleration time history andthe fling acceleration, velocity and displacement time histories.



0)M

C

JU,E0

800.0

400.0-

0

a0.0-

-400.0-

- Fault Normal Time History with Fling-Ann ''-I

I I IS I I I i I I I i

0 10 20 30 40 50 60 70Time (sec)

Figure 7-39b. Synchronous Setl fault normal modified acceleration, velocity, anddisplacement time histories with fling.

80



C.,-CD)

ZO. _ r~~~~~~~~~~~~~~~~~~~~p; ~~~~~~112/

1.5 ure 7-40a Vertical Time History

1.0 -_ Fling Time History

0.5-

*2.0- , 0 , { , & . & , d fi § ,

/02

U W1U a Ouf 14U Ou au (U Ws

(A,

Ea

U

0

600.1nI I,v

300.0-

0.0- _

-300.0-7- Vertical Time History

- Fling Displacement ime History-I r~~~~~nn I -'I II -1

0 10 20 30 40 50 60 70Time (sec)

Figure 7-40a. Synchronous Setl vertical modified acceleration time history and thefling acceleration, velocity and displacement time histories.

80



CD

kn e n%MIU-1i .

300.0-

'In

EC.

-300.0-

I - Vertical Time History with Fling I

-600.0

Innf% I%

I I I

0 10 203 4I30 40 ,

I I I50 60 70 80

c~uuItj -

C.,E'Q

400.0-/

I0.0-

-400.0-

_ | - Vetical Time History with Flir

-800.0 I I0 10 20 30 40 50 60

Time (sec)Figure 7-40b. Synchronous Setl vertical modified acceleration, velocity, anddisplacement time histories with fling.

191l

70 80


Sheet Number: 157 of 187r-... II ^b'tair

Icm(o 0.0-C.)

-0.5-

-1.0-

-1.5-

700.0-

350.0-

I III

EUcz

0.0- h 1"N'W V UT -

-350.0-

-700.0-

- Fault Normal Time History

- Fling Velocity Time History. . .

0 10-I ' I I I I .120 30 40 50 60 70 80

E

0U)._

0 10 20 30 40 50 60 70Time (sec)

Figure 7-41 a. Synchronous Set2 fault normal modified acceleration time history andthe fling acceleration, velocity and displacement time histories.

80



U MP�

EC.

E(0

Cn

Time (sec)Figure 7-41 b. Synchronous Set2 fault normal acceleration, velocity, and displacementtime histories with fling.


Sheet Number: 159 of 1874. U - S--, ,/Zz /02

1 ure 742a Vertical Time History1.5-

1.0 l - Fling Time History

0.5-

0.0- U yre ill

*0.5- 11

*1.01

CD

aC-

-1.5-

-2.0- A.I II I

10 20 30 40 506

60 70

E

0

0

0 10 20 30 40 50 60 70Time (sec)

Figure 7-42a. Synchronous Set2 vertical modified acceleration time history and thefling acceleration, velocity and displacement time histories.


Sheet Number: 160 of 187Vate: I I/24102

2.1e%

Ft1 .5-

cure 7-42b-

l

I - Vertical Time History with Fling

1.0-

0.5-

C.) 0.0-

<-0.5-

-1.0-

-1.5-

lo .j'. .. 1

I. I

., I 'I

I

11'I

-~I-t1I-i

0I , I . I , I , I I

10 20 30 40 50 60 70 80

Co-

Ea.

800.1rmLiI

C.e

400.0{

0.0-

-400.0

| - Vetical Time History with Flir

-800.0-0 10 20 30 40 50 60

Time (sec)Figure 7-42b. Synchronous Set2 vertical modified acceleration, velocity, anddisplacement time histories with fling.

191

70 80


Sheet Number: 161 of 1871.5- Bette, I IJ;q /02

F gure 7-43a Fault Normal Time History1.0- - Fling Time History

0.5

-0.5-

-1.5-0 10 20 30 40 50 60 70 80

600.0-

300.0-

S.-

E

-300.0- - Fault Normal Time History

- l Fling Velocity Time History-600.0- I I I

0 1 0 20 30 40 50 60 70 80

600.0-

300.0-

0.0-O ~~~~~A

0 10 20 30 40 50 60 . 7OTime (sec)

Figure 743a. Synchronous Set3 fault normal modified acceleration time history andthe fling acceleration, velocity and displacement time histories.



- Fault Normal Time History with fling

0 0.0

-0.5

-1.0

-1.5

Ann nuvv. v

400.0-

E0

-400.0-

- Fault Normal Time History with fling]

-800.1f%-I I

S

0I I I I

10 20 30 40I I 7

50 60 70 E3

800.0-

400.0-

E0

0

0.0-

-400.0-

onn *

I - Fault Normal Time History with fling I-rL IL 1A J-4

_.

0.I . , . , I * I * i

10 20 30 40 50 60 70 80Time (sec)

Figure 7-43b. Synchronous Set3 fault normal acceleration, velocity, and displacementtime histories with fling.



cm

U(3

2.0-Fl

1.5-

1.0-

0.5-

0.0-

-0.5-

-1.0-

-1.5-

-2.0-

. a1 : I I / z ;ure 7-44a - Vertical Time History

1'. - Fling Time History

.. I II I. I i I 111 I. r AII II1 I

s _ . x x l B A 1 5

I 1111.

I_-

0I I I I I1 .| _ I - -- I

10 20 30 40 50 60 70 I E0

JUI)

EU 0.0-

> -60.0-

EU)'a.cn

0 10 20 30 40 50 60 70Time (sec)


80


Sheet Number: 164 of 187r-.v- - snow. . , uz

M .ure 7-"b1.5- I.- Vertical Time History with Fling

1.0-

0.0 :51 I I -A"WAMMI 1CD

-0.5-

-1.0-

-1.5-

-77"91~~~~~~~~~~~~~~~~'I,

-2.0 -4

)oI I 30 I . 0I 6 70

10 20 30 40 50 60 70 80

In-E

0

Time (sec)Figure 7-44b. Synchronous Set3 vertical modified acceleration, velocity, anddisplacement time histories with fling.


Sheet Number 165 of 1871.5-

1.0-

0.5-

o 0.0-

-0.5-

-1.0-

-1.5-

1^1

I ure 745a - Fault Normal Time History

- Fling Time History

th~~~~~~~~~ffr 1r T,111.- . S v

_ ( Y

I I I I10 20 30

I I .I40 50 60

i . I

70 80

IVIEU

-5

0 10 20 30 40 50 60 70Time (sec)

Figure 7-45a. Synchronous Set4 fault normal modified acceleration time history andthe fling acceleration, velocity and displacement time histories.

80

Calc Number: GEO.HBIP.02;05Rev Number: 0

Sheet Number: 166 of 187Date: 1 1/2Fln 02

Fault Normal Time History with Fling I|

0)

00

EC.)

C,)*0a

0 10 20 30 40 50 60 70Time (sec)

Figure 7-45b. Synchronous Set4 fault normal modified acceleration, velocity, anddisplacement time histories with fling.

80


Sheet Number: 167 of 187e% f4.U-I

^w0)C.

1.5-

1.0-

0.5-

0.0-

-0.5-

-1.0-

-1.5-

-2.0-

gure 7-46a

Lt- Vertical Time History

- Fling Time History

,aJ� IWAiA 6 UAkJ6h KIW 11,1111alik L;-Ij.111 ft jj41jhkMkjrMTPF'jTjqM

. . . I I I I- I a

V02

I'I

6 10 20I I I

30 40 50I l

60 70 80

aIE0

0

6 10 20 30 40 50 60 7oTime (sec)


80



C.,cnya:

600.0

300.0-

EC. 0.0-

-300.0-

-600.0-

- Vertical Time History with Fling I

4. , - . .

0 10 20 30 40 50 60 70 0

C,ctC]

0

0 10 20 30 40 50 60Time (sec)

Figure 7-46b. Synchronous Set4 vertical modified acceleration, velocity, anddisplacement time histories with fling.

80



7.9 Checking of Enveloped Time History Spectra for the Modified SynchronousRupture Time History Sets

The program SPCTLR was used to compute the acceleration response spectra for the foursets of synchronous rupture time histories. The response spectra were computed forspectral damping levels of 4, 5, and 7%. The average response spectra for eachcomponent of motion at each damping level was checked against the corresponding soiltarget spectra for acceptance (see Section 4.7). The number of points of the averagedresponse spectra falling below the target spectra are given in Table 7-15 for thesynchronous rupture cases. The final synchronous rupture time histories for the faultnormal, fault parallel, and vertical components are plotted in Figures 7-47 through 7-50for the four cases. Fault normal with fling and the vertical with fling time histories are thesame as shown previously in Figures 7-39 through 7-46. The average response spectraand the corresponding targets are plotted in Figure 7-51 and numerical values of thecomputed average spectra are included in the enclosed CD-Rom.

Table 7-15. Comparison of synchronous rupture time history response spectra to the soiltarget spectra.

Number of points below target spectra |

Component of average 4% damping 5% damping 7% dampingof 4 time histories _

Fault Normal 1 I 1Fault Parallel, 3 1 1

Vertical 0 1 4Fault Normal with Fling 0 0 0

Vertical with Fling 0 0 4


1.5- Sheet Nunbar 1- In of 1 ,7)2

Figure 7 7a. - Fault Normal Time History with Fling1.0-

0 10 20 30 40 50 60 70 80

600.0-

300.0l

E

>-300.0- 1~;5>

-Fault Normal Time History with Fling

-600.0-, . . , , , , . | ,0 10 20 30 40 50 60 70 80

800.0-

400.0-

. 0.0-

-400.0-

- Fault Normal Time History with Fling-800.0-

0 10 20 30 40 50 60 70 80Time (sec)

Figure 7-47a. Synchronous Setl fault normal modified acceleration, velocity, anddisplacement time histories with fling.


I.

Cl)

EU

0

-1 .0

-1 .5

600.0-

300.0

0.0

-300.0

-600.0

200.0-

100.0-

* 0.0-

-100.0-

ron n_

- Fault Parallel Time History

0 10 20 30 40 50 60 70 8C

- Fault Parallel Time History I-ouv.v--

0 10 20 30 40 50 60 70Time (sec)

Figure 7-47b. Synchronous Setl fault parallel modified acceleration, velocity, anddisplacement time histories.

80


CD

8

'I)

E

0)

0

Time (sec)Figure 7-47c. Synchronous Setl vertical modified acceleration, velocity, anddisplacement time histories with fling.


0)

0 0.0-

-0.5-

-1.0-

-1.5-

800.0-

400.0-

JILASULL,[ME'"

I0)

E0.0-


-400.0-

-800.0- j�r � I I I * I IT

I 10 20 30 40 50 60 70 )

E

(1)

a

Time (sec)Figure 7-48a. Synchronous Set2 fault normal acceleration, velocity, and displacementtime histories with fling.

. . . ~~~~~ ~~~~~~.. .. -...


1.5- he lme-14o 1 7

Figure7 78b. Fault Parallel Timenl t&q'| 21.0-

0.5-

c,0.0-

-0.5-

-1.0-

-1.50 10 20 30 40 50 60 70 80

400.0-

200.0-

E

|- Fault Parallel Time History|

0 1 0 20 30 40 50 60 70 80

200.0-_ |- Fault Parallel Time History

B400.0- I 1100.0-

0.0

0 10 20 30 40 50 60 70 1Time (sec)

Figure 7-48b. Synchronous Set2 fault parallel acceleration, velocity, and displacementtime histories.

. m . I -. --: - -

III4-C

2.0-

Figlrv

1.0

0.5

~, 0.0-

C-0.5

-1.0-

-1.5-

O' n_

I Vrtcal Time8c.

111 111


HStor wit , h Fl in

!History with Fling 1 (2

I .i 1,

'

_L_ II-A.I. -, Pa. -0 - - - -

' III

Il

IF

-c.v

0I.II . I

10 20 30 40 0 60 70

U-1

E0

E0

a

Time (sec)Figure 7-48c. Synchronous Set2 vertical modified acceleration, velocity, anddisplacement time histories with fling.




0)n

Q:

E0

-400.0-

- Fault Normal Time History with fling IelfI ^

-nuu~~ Is.,,,,,

-%Jvvv.% - I

0

800.0

4 0 0 .0 -

I I I- - I

10 20 30 40 50 60 70 80

E

(00

0.0-

-400.0-

-800.0-

|- Fault Normal Time History with flingT l l I I I I I I I I

10 20 30 40 50 60 70l

0 80Time (sec)

Figure 7-49a. Synchronous Set3 fault normal acceleration, velocity, and displacementtime histories with fling.


1.5- 1 7

Figtre7 9b. - Fault Parallel TimeP1VstbW 4 2

0.5-

o0.0-

-0.5-

-1.50 10 20 30 40 50 60 70 80

400.0-

200.0-

-200.0-

- Fault Parallel Time History-400.0- I I, , , , , I I

0 1 0 20 30 40 50 60 70 80

200.0-

100.0X

0

0 10 20 30 40 50 60 70Time (sec)

Figure 7-49b. Synchronous Set3 fault normal acceleration, velocity, and displacementtime histories.


.1 .l L J .I .A - , .n ,-.-I -_.V,

(

Figjli5

1.0-

0.5-

: 0.0-

-0.5-

-1.0-

-1.5-

-2.0-

9c.

II - Vertical Time History with FlinigIteI 1/4

I II LI..L.I .IL. I11

I 2

IS .....

N*111 ' I .

I

0 10 20 30 40 50 60 70 80

600.0.

300.0-

(0

E-a) 0 .0-j


-300.0-

-600.00

r I I T I I I I I I T10 20 30 40 50 60 70 E )

C.,-E

.0

0 10 20 30 40 50 60Time (sec)

Figure 7-49c. Synchronous Set3 vertical modified acceleration, velocity, anddisplacement time histories with fling.

80

---- I .. -n--- -


Sheet Number: 179 of 187Date: 11t244 2

- Fault Normal Time History-with Fling IT

MC.)0

£10EU

0

0)

0 10 20 30 40 50 60 70Time (sec)

Figure 7-50a. Synchronous Set4 fault normal modified acceleration, velocity, anddisplacement time histories with fling.

...... --.- -i


CD

8.

X-S

E

(.3U)

Time (sec)Figure 7-50b. Synchronous Set4 fault parallel modified acceleration, velocity, anddisplacement time histories with fling.

- .


C

C0

2.

FigTft

1.

0.

-0.!

-1 .1

-1 .'-1.:

-2.'

.U- S llCM NumberI a I of i7

5M 0C. Vertical Time History with Fli yte 11/24/ 2

0-

5-

5- I

O-

5-~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A

U 1U ;& U 4U WU OzU (U MsU

At f% f.'4.IjtJ-t -Y

200.0-

E> 0.0-


-200.0-

-400.0-6

I I I . I10 20 30 40 50 60 70 80

onn% ^OUU.UTI

E

U)0

400.0-

0.0-

-400.0-

- Vetical Time History with Fling I-nfjl-tIj- .1

0 10 20 30 40 50 60 7Time (sec)

Figure 7-50c. Synchronous Set4 vertical modified acceleration, velocity, anddisplacement time histories with fling.

70 80



C0CUa)~

a)

Co

Target (4%)

Target (5%)

Target (7%) -_ _

Average (4%) - -.3.5__

_- - - - Average (5%) _

........ Average (7%

0.5- - T

0.01 Period 1(7secV)U I = = ___Is _ = _

0.01 0 1 1 _ 0

H LlL~~~~~eLdod1 L se I_

Figure 7-5 1 a. Comparison of average response spectra for the spectral damping levels of4%, 5%, and 7% and the target spectra for the fault parallel component.


Sheet Number. 183 of 187Date: 1 1/24/02

4.!C a I ~.p -. .-

3.

Target (4%) - -- _

r- _ Target (5%) - - -_

_ ~~Target (7%)= __-__;_____

Average (4%) -_ - - -

_ - - - - Average (5%) __=

- - . Average (7%) _

3- -

I I T I ~~~I TTI I If

5- ___ _-

2-= __ 1

0)

a

-

m

MI= 2

is

cn_

1.5- I*~- I I _ _ = I _II- I I-

1- L ~

0. �----.�-J-� I I I �-4-4-4-+AY..'A-4-4-

I I I I 1 1 11 I I I I I I I E!n4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1j I I I I I I I I I I I I I I I I I I I I I I

n ! IU I *- - - . Ii-. --- .- I


Figure 7-5 lb. Comparison of average response spectra for the spectral damping levels of4%, 5%, and 7% and the target spectra for the fault normal component with fling.



a- . - . ., U f | , , ff :s l , ,,I I

I I In1 I IzliiI lz! - ~ Target (4%)II'l

_ rA =F K- IN

r. _; _ _ _ s g_. _. _ _ 4 m _ s \o _ _ _ _ _, 1.

. = = 7; _ , , X >> = =I = _ N_

14~~~~~~~~~~~ _

Target (5%)

- Target (7%)

--- Average (4%)

- - - - Average (5%)

.- -- - - Average (7%)f/ M I It, V I I I I I I

.. . . . .. ..I'M '. % ,

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'a

0.CO

) A 1 IM! FF H INV it I E 1 n I 1 I EE1I nI IIm1II

. 7 t IrE t I 7 _ 7~~V. 1i

2- _x KV& - | {11.5__ _ ___ 1!1!0. = 1 _5QSR1

- I0.01 0.1 10Penod (sec)

Figure 7-5 1 c. Comparison of average response spectra for the spectral damping levels of4%, 5%, and 7% and the target spectra for the vertical component with fling.



7.10 Statistical Independence of Time Histories

The work plan requires that 3 components for each set of ground motions be statisticallyindependent. This cross correlation is computed using eq. (5-5). The resulting absolutevalues of the cross-correlation are listed in Table 7-16. All of the sets meet the criteriathat the cross-correlation is less than 0.3.

Table 7-16. Cross-correlation of acceleration time histories between fault normal (FN),fault parallel (FP), and vertical (Z) components.

Set FP-FN FN-Z FP-Z1 0.152 0.036 0.0312 0.035 0.053 0.0303 0.050 0.084 0.0144 0.058 0.033 0.015

8. RESULTSThe four sets of synchronous rupture time histories on the attached excel file meet thespectral matching requirements of SRP 3.7.1 and the statistical independence requirementof the work plan (following ASCE 4-86).

9. CONCLUSIONSThe time histories on the attached excel files represent the ground motion due to transientdisplacements for the synchronous rupture of the LSF and Cascadia subsources. The faultparallel component is not affected by permanent displacement for a pure thrust faultearthquake. The fault normal and vertical components do include the ground motion dueto permanent tectonic deformation (fling) and these time histories are also included in theexcel files.



10. REFERENCES

ASCE 4-86, Seismic Analysis of Safety Related Nuclear Structures and Commentary onStandards for Seismic Analysis of Safety Related Nuclear Structures, American Societyof Civil Engineers, Sept, 1986

Hudson, D. E. (1979). Reading and interpreting strong motion accelerograms, EarthquakeEngineering Research Institute, Monograph, 112 p.

GEO.DCPP.01.012 Development of Fling Model for Diablo Canyon ISFSI, Rev 1, Sep26,20021.

GEO.HBIP.02.04 Development of Response Spectra for HBIP, Rev 0,

GEO.HBIP.02.03 Source Characterization for HBIP, Rev 0,

Kanasewich, E. R. (1981). Time Sequence Analysis in Geophysics, Third Ed.,University of Alberta Press, 480 p.

Somerville, P.G. (2002). Review of HBIP time histories dated July 23, 2002.



AppendicesAl Contents of file "setl fn.acc" on the CD-ROM (enclosure 1)A2 Contents of file "setl fnf.acc" on the CD-ROM (enclosure 1)A3 Contents of file "setlfp.acc" on the CD-ROM (enclosure 1)A4 Contents of file "setlz.acc" on the CD-ROM (enclosure 1)A5 Contents of file "setlzf.acc" on the CD-ROM (enclosure 1)BI Contents of file "set2_fn.acc" on the CD-ROM (enclosure 1)B2 Contents of file "sea fhf.acc" on the CD-ROM (enclosure 1)B3 Contents of file "set2 fp.acc" on the CD-ROM (enclosure 1)B4 Contents of file "set2_z.acc" on the CD-ROM (enclosure 1)B5 Contents of file "set2_zf.acc" on the CD-ROM (enclosure 1)CI Contents of file "set3_fn.acc" on the CD-ROM (enclosure 1)C2 Contents of file "set3_fnf.acc" on the CD-ROM (enclosure 1)C3 Contents of file "set3 fp.acc" on the CD-ROM (enclosure 1)C4 Contents of file "set3_z.acc" on the CD-ROM (enclosure 1)CS Contents of file "set3_zf.acc" on the CD-ROM (enclosure 1)DI Contents of file "set4_fn.acc" on the CD-ROM (enclosure 1)D2 Contents of file "set4_fnf.acc" on the CD-ROM (enclosure 1)D3 Contents of file "set4_fp.acc" on the CD-ROM (enclosure 1)D4 Contents of file "set4 z.acc" on the CD-ROM (enclosure 1)D5 Contents of file "set4_zfacc" on the CD-ROM (enclosure 1)

11. ENCLOSURES AND ATTACHMENTS

CD-ROM Containing all of the input and output files and programs used in computingthe time histories. The contents of the CD-ROM are listed in Tables 1, 2, and 3 inAttachment 1.

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