Electronic Supplement to
Validation of ground motion simulations through simple proxies for the response of engineered systems

by Lynne S. Burks and Jack W. Baker

 

Matlab functions to compute simple proxies for the response of engineered systems.

Download here: Matlab Files

Includes the following files:

  1. baker_jayaram_correlation.m: computes the predicted correlation of epsilon at two periods according to Baker & Jayaram (2008).
  2. Bilinear_Newmark_withTH.m: computes the nonlinear time history response of a bilinear oscillator to a given ground motion excitation using the Newmark method.
  3. fn_analyze_record.m}: extracts a pulse from a ground motion velocity time history using wavelet analysis according to Baker (2007)
  4. fn_pulsePeriod.m: computes the predicted median pulse period and standard deviation of the natural log of pulse period according to Bray & Rodriguez-Marek (2004) and Shahi & Baker (2011).
  5. fn_RotD100RotD50_ratio.m: computes the predicted median ratio of SaRotD100 to SaSaRotD50 according to Beyer & Bommer (2006) and Shahi & Baker (2013).
  6. fn_SaRotDnn.m: computes SaRotD100 and SaRotD50 for a given multi-component ground motion and period.
  7. fn_Sdi_atten.m: computes the predicted median ratio of inelastic to elastic displacement for a bilinear oscillator according to Tothong & Cornell (2006).
  8. getLinearSpectra_withTH.m: computes the time history and spectral response of an SDOF oscillator to a given ground motion.

Ground motion simulations selected to have similar response spectra to a set of recordings.

The following tables list the ground motion recordings (Table S1, from Baker et al., 2011) and simulations selected to have comparable response spectra (Tables S2 to S4). All simulations are from the SCEC Broadband Platform validation exercise (Dreger et al., 2013) of the 1989 Loma Prieta earthquake using the stochastic finite fault (EXSIM), Graves-Pitarka hybrid broadband (GP), or composite source model (CSM) method.

Table S1: Set of PEER recordings (i.e. set #2 from Baker et al., 2011).

No.    RSN    EQ Name    Year    M    Station Name     
1    72    San Fernando    1971    6.61    Lake Hughes #4    
2    769    Loma Prieta    1989    6.93    Gilroy Array #6    
3    1165    Kocaeli, Turkey    1999    7.51    Izmit    
4    1011    Northridge-01    1994    6.69    LA - Wonderland Ave    
5    164    Imperial Valley-06    1979    6.53    Cerro Prieto    
6    1787    Hector Mine    1999    7.13    Hector    
7    80    San Fernando    1971    6.61    Pasadena - Old Seismo Lab    
8    1618    Duzce, Turkey    1999    7.14    Lamont 531    
9    1786    Hector Mine    1999    7.13    Heart Bar State Park    
10    1551    Chi-Chi, Taiwan    1999    7.62    TCU138    
11    3507    Chi-Chi, Taiwan-06    1999    6.30    TCU129    
12    150    Coyote Lake    1979    5.74    Gilroy Array #6    
13    572    Taiwan SMART1(45)    1986    7.30    SMART1 E02    
14    285    Irpinia, Italy-01    1980    6.90    Bagnoli Irpinio    
15    801    Loma Prieta    1989    6.93    San Jose - Santa Teresa Hills    
16    286    Irpinia, Italy-01    1980    6.90    Bisaccia    
17    1485    Chi-Chi, Taiwan    1999    7.62    TCU045    
18    1161    Kocaeli, Turkey    1999    7.51    Gebze    
19    1050    Northridge-01    1994    6.69    Pacoima Dam (downstr)    
20    2107    Denali, Alaska    2002    7.90    Carlo (temp)    
21    1    Helena, Montana-01    1935    6.00    Carroll College    
22    1091    Northridge-01    1994    6.69    Vasquez Rocks Park    
23    1596    Chi-Chi, Taiwan    1999    7.62    WNT    
24    771    Loma Prieta    1989    6.93    Golden Gate Bridge    
25    809    Loma Prieta    1989    6.93    UCSC    
26    265    Victoria, Mexico    1980    6.33    Cerro Prieto    
27    1078    Northridge-01    1994    6.69    Santa Susana Ground    
28    763    Loma Prieta    1989    6.93    Gilroy - Gavilan Coll.    
29    1619    Duzce, Turkey    1999    7.14    Mudurnu    
30    957    Northridge-01    1994    6.69    Burbank - Howard Rd.    
31    2661    Chi-Chi, Taiwan-03    1999    6.20    TCU138    
32    3509    Chi-Chi, Taiwan-06    1999    6.30    TCU138    
33    810    Loma Prieta    1989    6.93    UCSC Lick Observatory    
34    765    Loma Prieta    1989    6.93    Gilroy Array #1    
35    1013    Northridge-01    1994    6.69    LA Dam    
36    1012    Northridge-01    1994    6.69    LA 00    
37    1626    Sitka, Alaska    1972    7.68    Sitka Observatory    
38    989    Northridge-01    1994    6.69    LA - Chalon Rd    
39    748    Loma Prieta    1989    6.93    Belmont - Envirotech    
40    1549    Chi-Chi, Taiwan    1999    7.62    TCU129    

Table S2: EXSIM simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

No.    EQ Name    Sim. Method    Realiz No.    Station Name    Lon    Lat     
1    Loma Prieta    EXSIM    10000044    8001-CLS    -121.8030    37.0500    
2    Loma Prieta    EXSIM    10000014    8022-AND    -121.6280    37.1660    
3    Loma Prieta    EXSIM    10000014    8018-SG3    -121.3950    36.7530    
4    Loma Prieta    EXSIM    10000014    8020-G06    -121.4840    37.0260    
5    Loma Prieta    EXSIM    10000044    8015-GMR    -121.4340    37.0330    
6    Loma Prieta    EXSIM    10000014    8016-LOB    -122.0600    37.0010    
7    Loma Prieta    EXSIM    10000044    8035-GGB    -122.4760    37.8080    
8    Loma Prieta    EXSIM    10000044    8014-UC2    -122.0620    37.0010    
9    Loma Prieta    EXSIM    10000014    8023-CLR    -121.8070    37.4520    
10    Loma Prieta    EXSIM    10000044    8031-CFH    -122.5130    37.7780    
11    Loma Prieta    EXSIM    10000044    8037-DFS    -121.9320    37.7090    
12    Loma Prieta    EXSIM    10000014    8035-GGB    -122.4760    37.8080    
13    Loma Prieta    EXSIM    10000014    8030-A3E    -122.0610    37.6570    
14    Loma Prieta    EXSIM    10000014    8029-RIN    -122.3910    37.7860    
15    Loma Prieta    EXSIM    10000044    8022-AND    -121.6280    37.1660    
16    Loma Prieta    EXSIM    10000014    8025-SGI    -121.4460    36.7650    
17    Loma Prieta    EXSIM    10000044    8039-PTB    -122.5270    37.8220    
18    Loma Prieta    EXSIM    10000044    8023-CLR    -121.8070    37.4520    
19    Loma Prieta    EXSIM    10000014    8001-CLS    -121.8030    37.0500    
20    Loma Prieta    EXSIM    10000044    8025-SGI    -121.4460    36.7650    
21    Loma Prieta    EXSIM    10000044    8003-LEX    -121.9910    37.2020    
22    Loma Prieta    EXSIM    10000014    8010-G03    -121.5360    36.9870    
23    Loma Prieta    EXSIM    10000044    8024-SJW    -121.6420    36.6710    
24    Loma Prieta    EXSIM    10000044    8018-SG3    -121.3950    36.7530    
25    Loma Prieta    EXSIM    10000014    8004-STG    -122.0310    37.2550    
26    Loma Prieta    EXSIM    10000014    8028-XSP    -122.3610    37.5290    
27    Loma Prieta    EXSIM    10000014    8005-WVC    -122.0090    37.2620    
28    Loma Prieta    EXSIM    10000044    8002-LGP    -122.0100    37.1720    
29    Loma Prieta    EXSIM    10000044    8028-XSP    -122.3610    37.5290    
30    Loma Prieta    EXSIM    10000044    8010-G03    -121.5360    36.9870    
31    Loma Prieta    EXSIM    10000014    8040-BES    -122.3080    37.5120    
32    Loma Prieta    EXSIM    10000014    8039-PTB    -122.5270    37.8220    
33    Loma Prieta    EXSIM    10000014    8011-SJTE    -121.8030    37.2100    
34    Loma Prieta    EXSIM    10000044    8020-G06    -121.4840    37.0260    
35    Loma Prieta    EXSIM    10000014    8027-BVF    -121.1840    36.5730    
36    Loma Prieta    EXSIM    10000044    8006-G01    -121.5720    36.9730    
37    Loma Prieta    EXSIM    10000014    8017-SLC    -122.2100    37.4200    
38    Loma Prieta    EXSIM    10000044    8019-WDS    -122.2580    37.4290    
39    Loma Prieta    EXSIM    10000044    8034-BRK    -122.2490    37.8760    
40    Loma Prieta    EXSIM    10000014    8019-WDS    -122.2580    37.4290    

Table S3: GP simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

No.    EQ Name    Sim. Method    Realiz No.    Station Name    Lon    Lat     
1    Loma Prieta    GP    10000030    8009-GOF    -121.5690    37.0090    
2    Loma Prieta    GP    10000005    8016-LOB    -122.0600    37.0010    
3    Loma Prieta    GP    10000030    8005-WVC    -122.0090    37.2620    
4    Loma Prieta    GP    10000005    8006-G01    -121.5720    36.9730    
5    Loma Prieta    GP    10000005    8038-BVR    -121.1430    36.5320    
6    Loma Prieta    GP    10000005    8036-BVW    -121.2490    36.6580    
7    Loma Prieta    GP    10000007    8010-G03    -121.5360    36.9870    
8    Loma Prieta    GP    10000005    8021-ADL    -121.6280    37.1660    
9    Loma Prieta    GP    10000007    8026-CYC    -121.5500    37.1180    
10    Loma Prieta    GP    10000007    8034-BRK    -122.2490    37.8760    
11    Loma Prieta    GP    10000030    8021-ADL    -121.6280    37.1660    
12    Loma Prieta    GP    10000007    8038-BVR    -121.1430    36.5320    
13    Loma Prieta    GP    10000030    8027-BVF    -121.1840    36.5730    
14    Loma Prieta    GP    10000030    8003-LEX    -121.9910    37.2020    
15    Loma Prieta    GP    10000007    8022-AND    -121.6280    37.1660    
16    Loma Prieta    GP    10000030    8028-XSP    -122.3610    37.5290    
17    Loma Prieta    GP    10000007    8021-ADL    -121.6280    37.1660    
18    Loma Prieta    GP    10000030    8031-CFH    -122.5130    37.7780    
19    Loma Prieta    GP    10000030    8010-G03    -121.5360    36.9870    
20    Loma Prieta    GP    10000030    8016-LOB    -122.0600    37.0010    
21    Loma Prieta    GP    10000005    8010-G03    -121.5360    36.9870    
22    Loma Prieta    GP    10000030    8007-GIL    -121.5680    36.9730    
23    Loma Prieta    GP    10000030    8001-CLS    -121.8030    37.0500    
24    Loma Prieta    GP    10000005    8027-BVF    -121.1840    36.5730    
25    Loma Prieta    GP    10000007    8005-WVC    -122.0090    37.2620    
26    Loma Prieta    GP    10000005    8017-SLC    -122.2100    37.4200    
27    Loma Prieta    GP    10000005    8007-GIL    -121.5680    36.9730    
28    Loma Prieta    GP    10000030    8008-BRN    -121.9840    37.0470    
29    Loma Prieta    GP    10000007    8020-G06    -121.4840    37.0260    
30    Loma Prieta    GP    10000030    8026-CYC    -121.5500    37.1180    
31    Loma Prieta    GP    10000005    8040-BES    -122.3080    37.5120    
32    Loma Prieta    GP    10000030    8034-BRK    -122.2490    37.8760    
33    Loma Prieta    GP    10000030    8006-G01    -121.5720    36.9730    
34    Loma Prieta    GP    10000030    8011-SJTE    -121.8030    37.2100    
35    Loma Prieta    GP    10000030    8038-BVR    -121.1430    36.5320    
36    Loma Prieta    GP    10000030    8035-GGB    -122.4760    37.8080    
37    Loma Prieta    GP    10000005    8005-WVC    -122.0090    37.2620    
38    Loma Prieta    GP    10000030    8036-BVW    -121.2490    36.6580    
39    Loma Prieta    GP    10000005    8035-GGB    -122.4760    37.8080    
40    Loma Prieta    GP    10000005    8011-SJTE    -121.8030    37.2100    

Table S4: CSM simulations selected from multiple realizations of the Loma Prieta earthquake that have similar response spectra to the PEER records in Table S1.

No.    EQ Name    Sim. Method    Realiz No.    Station Name    Lon    Lat     
1    Loma Prieta    CSM    10000017    8001-CLS    -121.8030    37.0500    
2    Loma Prieta    CSM    10000040    8025-SGI    -121.4460    36.7650    
3    Loma Prieta    CSM    10000040    8031-CFH    -122.5130    37.7780    
4    Loma Prieta    CSM    10000017    8004-STG    -122.0310    37.2550    
5    Loma Prieta    CSM    10000040    8034-BRK    -122.2490    37.8760    
6    Loma Prieta    CSM    10000017    8013-HSP    -121.3970    36.8480    
7    Loma Prieta    CSM    10000040    8030-A3E    -122.0610    37.6570    
8    Loma Prieta    CSM    10000040    8017-SLC    -122.2100    37.4200    
9    Loma Prieta    CSM    10000040    8013-HSP    -121.3970    36.8480    
10    Loma Prieta    CSM    10000040    8039-PTB    -122.5270    37.8220    
11    Loma Prieta    CSM    10000038    8023-CLR    -121.8070    37.4520    
12    Loma Prieta    CSM    10000038    8031-CFH    -122.5130    37.7780    
13    Loma Prieta    CSM    10000017    8035-GGB    -122.4760    37.8080    
14    Loma Prieta    CSM    10000038    8034-BRK    -122.2490    37.8760    
15    Loma Prieta    CSM    10000038    8001-CLS    -121.8030    37.0500    
16    Loma Prieta    CSM    10000017    8038-BVR    -121.1430    36.5320    
17    Loma Prieta    CSM    10000040    8036-BVW    -121.2490    36.6580    
18    Loma Prieta    CSM    10000017    8023-CLR    -121.8070    37.4520    
19    Loma Prieta    CSM    10000017    8037-DFS    -121.9320    37.7090    
20    Loma Prieta    CSM    10000038    8040-BES    -122.3080    37.5120    
21    Loma Prieta    CSM    10000040    8015-GMR    -121.4340    37.0330    
22    Loma Prieta    CSM    10000040    8040-BES    -122.3080    37.5120    
23    Loma Prieta    CSM    10000038    8013-HSP    -121.3970    36.8480    
24    Loma Prieta    CSM    10000038    8035-GGB    -122.4760    37.8080    
25    Loma Prieta    CSM    10000040    8020-G06    -121.4840    37.0260    
26    Loma Prieta    CSM    10000017    8036-BVW    -121.2490    36.6580    
27    Loma Prieta    CSM    10000038    8008-BRN    -121.9840    37.0470    
28    Loma Prieta    CSM    10000038    8030-A3E    -122.0610    37.6570    
29    Loma Prieta    CSM    10000040    8021-ADL    -121.6280    37.1660    
30    Loma Prieta    CSM    10000040    8027-BVF    -121.1840    36.5730    
31    Loma Prieta    CSM    10000038    8033-BVU    -121.0430    36.5690    
32    Loma Prieta    CSM    10000038    8038-BVR    -121.1430    36.5320    
33    Loma Prieta    CSM    10000040    8008-BRN    -121.9840    37.0470    
34    Loma Prieta    CSM    10000040    8032-SUF    -121.8800    37.5970    
35    Loma Prieta    CSM    10000038    8039-PTB    -122.5270    37.8220    
36    Loma Prieta    CSM    10000017    8025-SGI    -121.4460    36.7650    
37    Loma Prieta    CSM    10000017    8026-CYC    -121.5500    37.1180    
38    Loma Prieta    CSM    10000040    8005-WVC    -122.0090    37.2620    
39    Loma Prieta    CSM    10000017    8031-CFH    -122.5130    37.7780    
40    Loma Prieta    CSM    10000038    8021-ADL    -121.6280    37.1660    

References

Baker, J. W. (2007). Quantitative classification of near-fault ground motions using wavelet analysis. Bulletin of the Seismological Society of America 97, no. 5, 1486–1501.

Baker, J. W. and N. Jayaram (2008). Correlation of spectral acceleration values from NGA ground motion models. Earthquake Spectra 24, no. 1, 299–317.

Baker, J. W., T. Lin, S. K. Shahi, and N. Jayaram (2011). New ground motion selection procedures and selected motions for the PEER transportation research program. Technical Report PEER 2011/03, Pacific Earthquake Engineering Research Center, Berkeley, CA.

Beyer, K. and J. J. Bommer (2006). Relationships between median values and between aleatory variabilities for different definitions of the horizontal component of motion. Bulletin of the Seismological Society of America 96, no. 4A, 1512–1522.

Bray, J. D. and A. Rodriguez-Marek (2004). Characterization of forward-directivity ground motions in the near-fault region. Soil Dynamics and Earthquake Engineering 24, no. 11, 815–828.

Dreger, D. S., G. C. Beroza, S. M. Day, C. A. Goulet, T. H. Jordan, P. A. Spudich, and J. P. Stewart (2013). Evaluation of SCEC Broadband Platform phase 1 ground motion simulation results. Technical Report XXX, Southern California Earthquake Center, Los Angeles, CA.

Shahi, S. K. and J. W. Baker (2011). An empirically calibrated framework for including the effects of near-fault directivity in probabilistic seismic hazard analysis. Bulletin of the Seismological Society of America 101, no. 2, 742–755.

Shahi, S. K. and J. W. Baker (2013). NGA-West2 models for ground-motion directionality. Technical Report PEER 2013/10, Pacific Earthquake Engineering Research Center, Berkeley, CA.

Tothong, P. and C. A. Cornell (2006). An empirical ground-motion attenuation relation for inelastic spectral displacement. Bulletin of the Seismological Society of America 96, no. 6, 2146–2164.


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