AN ASSESSMENT OF THE RELEVANCE OF
 PARAMETERS USED FOR GROUND MOTION
 FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL
             EARTHQUAKES
             Iolanda-Gabriela CRAIFALEANU
     Technical University of Civil Engineering Bucharest, Romania
  & National R&D Institute “URBAN-INCERC”, INCERC Bucharest Branch
         i.craifaleanu@gmail.com, iolanda.craifaleanu@utcb.ro
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

PECULIARITIES OF VRANCEA SEISMICITY
                                                            Radiation directivity           Difficulties in
                                                            significantly                   identifying the depth
                                                            differentiated between          of the base rock for a
                                                            the 4 analyzed                  large part of the area
                                                            earthquakes (Sandi et al.,      affected by Vrancea
                                                            2004; Sandi&Borcia, 2011)
                                                                  Sandi&Borcia,             earthquakes

                                                            Strong Vrancea     04.03.    30.08.      30.05.           31.05.
                                                                 events         1977      1986        1990             1990
 Seismic events: January 1st, 1900 – December 31st, 2008.
   Data according to ROMPLUS Catalogue (INFP, 2009)                            NE-SW     NE-SW         N-S            NW-SE
                                                               Radiation
                                                               directivity

   Simplified classification: 2 basic types of sites, according to the event-
   to-event variability of the frequency content (Sandi et al., 2004):
      variable frequency content        determinant influence of the focal
      mechanism & radiation / long distance attenuation
      stable frequency content       determinant influence of local soil
      conditions
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

METHOD
   Database of 300+
   ground motions                                 Ground motion database: 313 records
                                                                       122
   recorded during                                    101
                               Vrancea
   4 strong earthquakes        Earthquakes                                   85               87
   (Mw>6) generated by               Total
                                                            70
                                                                                                   61
   the Vrancea                       Horizontal
                                                                                  37
   seismogenic zone                  Vertical
                                                                 31
                                                                                                        26
   since 1977                    3     2    1

   Comparative analysis         March 4, 1977         Aug. 30, 1986    May 30, 1990           May 31,1990
   of 11 analytical
   estimators of the
   frequency content                   March 4,             Aug. 30,     May 30,              May 31,
                                        1977                 1986         1990                 1990
   Results correlated with
   information provided by             Mw=7.4               Mw=7.1       Mw=6.9               Mw=6.4
   4 spectral bandwidth               h=94 km           h=131 km        h=91 km              h=87 km
   measures
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

ANALYSED PARAMETERS: PERIOD-TYPE QUANTITIES…
   T1(PSD) - period for the highest PSD              TgSA - predominant period based on
   amplitude peak                                    acceleration spectrum
   Tcen - central period, based on Vanmarcke         TgSV - predominant period based on
   central frequency,
                                                     velocity spectrum
   Tmean - mean period, based on the mean
   frequency, ω , of the power spectrum              TgSEI - predominant period based on
   Tms - mean square period (Rathje, 1998)           input energy spectrum
                                     
             Tms = ∑ Ci2  1  ∑ Ci2 
                           f                       Tmean* - modified mean period and
                                                      mean*
                    i     i i      
             for 0.25Hz ≤fi ≤20Hz                    Tcen* - modified central period (Ruiz-
                                                      cen*                           (Ruiz-
                                                     Garcia & Miranda, 2005)      formulas similar to Tmean and
    where Ci are the Fourier amplitudes of the       Tcen, but with modified definitions of spectral moments,
       accelerogram and fi are the discrete FFT      based on the squared values of the velocity spectra for
       frequencies                                   elastic 5%-damped SDOFs
                                                             5%-
   T4.3 - characteristic period, empirical
   relationship suggested by Heidebrecht in 1987:
                              PGV
                                                    … & BANDWIDTH MEASURES
                   T4.3 = 4.3
                              PGA
                                                     shape factor, q (Vanmarcke, 1976)
    and used by Fajfar & Fischinger in 1990          ε parameter (Cartwright & Longuet-Higgins, 1956)
                                                                               Longuet-
   TC - characteristic period, alternate             ξ parameter (Boore, 2003)
   definition proposed by Lungu et al. in 1997
                                                     modified shape factor, q*, (Ruiz-Garcia &
                                                                                    (Ruiz-
                                                     Miranda, 2005)
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

CORRELATION STUDIES                                                                         y=a— x+b, horizontal components
                                                                                            y=a x+b,
                                            Tms T1(PSD) Tmean Tcen TgSA TgSV           TgSEI TC Tmean* Tcen* T4.3 q q* ε ξ
  Good and remarkably                Tms     1      0.531    0.763 0.570 0.441 0.285 0.417 0.831 0.330      0.235 0.759 0.515 0.574 0.445 0.551
  stable correlations between:      T1(PSD) 0.531     1      0.384 0.261 0.227 0.189 0.358 0.468 0.242      0.182 0.378 0.324 0.375 0.161 0.201
                                    Tmean 0.763
    Tms (Rathje et al., 1998) and    Tcen 0.570
                                                    0.384
                                                    0.261
                                                              1
                                                             0.921
                                                                     0.921 0.543 0.127 0.204 0.512 0.111
                                                                      1    0.443 0.071 0.126 0.341 0.048
                                                                                                            0.066 0.559 0.272 0.267 0.481 0.588
                                                                                                            0.023 0.410 0.098 0.149 0.420 0.491
    TC (Lungu et al., 1997)          TgSA 0.441     0.227    0.543 0.443     1    0.030 0.064 0.276 0.023   0.007 0.307 0.196 0.108 0.356 0.435

    Tmean (=1/mean freq. of          TgSV 0.285
                                     TgSEI 0.417
                                                    0.189    0.127 0.071 0.030     1   0.417 0.366 0.627    0.574 0.266 0.253 0.565 0.127 0.133

                 power spectrum)                    0.358    0.204 0.126 0.064 0.417      1   0.426 0.403   0.338 0.318 0.258 0.474 0.111 0.127
                                       TC 0.831     0.468    0.512 0.341 0.276 0.366 0.426     1    0.401   0.290 0.715 0.442 0.673 0.274 0.371
    T4.3   (Heidebrecht, 1987)      Tmean* 0.330    0.242    0.111 0.048 0.023 0.627 0.403 0.401      1     0.975 0.356 0.229 0.769 0.053 0.072
                                     Tcen* 0.235    0.182    0.066 0.023 0.007 0.574 0.338 0.290 0.975       1      0.276 0.160 0.626 0.028 0.040
By using the y=a— x                   T4.3 0.759    0.378    0.559 0.410 0.307 0.266 0.318 0.715 0.356      0.276    1    0.379 0.519 0.310 0.372

dependency, both R2 and a                     > 0.5         good          0.1…0.5 intermediate              < 0.1        weak correlation
coefficients show remarkably
low event-to-event variability                                                                                              All records,
                                                                                 30.08.       30.05.         31.05.
                                                 y=a— xx                                                                         incl.
                                                  y=a—                            1986         1990           1990          04.03.1977
              Simple
               Simple                                 R2                     0.8122           0.8143        0.2084             0.7954
              empirical
               empirical                     Tms-TC a                        0.8006           0.7954        0.8083             0.8017
              relationships
               relationships                          R2                     0.7238           0.7723        0.6978             0.7619
              between
               between                     Tms-Tmean a                       1.5409           1.5304        1.4562             1.5328
              the TT-type
               the -type                              R2                     0.7146           0.6745        0.6137             0.7216
              parameters
               parameters                   Tms -T4.3 a                      1.2008           1.1049        1.1705             1.1508
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

SPATIAL & TEMPORAL VARIABILITY OF T-TYPE PARAMS
 T1(PSD) - period for the highest PSD amplitude peak
  30.08.1986
   30.08.1986                          30.05.1990
                                        30.05.1990           31.05.1990
                                                              31.05.1990




   Stations in the NE & SE : relatively small variability of T1(PSD) values with the
   event     suggests prevalent influence of local site conditions on freq. content
   Other stations : large T1(PSD) values (& narrowband motions) for one (two)
   events & much smaller values for the other event(s)          suggests prevalent
   influence of focal mechanism & radiation for these stations
   Same observations for Tms
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

SPATIAL & TEMPORAL VARIABILITY OF T-TYPE PARAMS
 T1(PSD) - period for the highest PSD amplitude peak BUCHAREST
                                                     BUCHAREST
                      30.08.1986
                       30.08.1986               30.05.1990
                                                 30.05.1990                     31.05.1990
                                                                                 31.05.1990




   Large values of T1(PSD) for the 1986 earthquake (& narrowband motions), for
   one or both horizontal components of all Bucharest records
   Opposite situation for the 1990 earthquakes (exception: 31.05.1990, MTR1 station)
   Probable explanation       the different characteristics (directivity of radiation /
   attenuation) of the analyzed earthquakes
PPT available at:
Iolanda-Gabriela CRAIFALEANU
AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR
GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION
WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES

CONCLUSIONS
   Good and remarkably stable correlations found between
          the mean square period, Tms (Rathje et al., 1998) and
          the characteristic period, TC (Lungu et al., 1997)
          the mean period of the power spectrum, Tmean
          the characteristic period based on peak ground motion values, T4.3
          (Heidebrecht, 1987)
        simple empirical relationships between the above parameters
   Interevent (event-to-event) variability of T-type parameters and factors
   influencing the frequency content of the ground motion:
           low variability       suggests prevalent influence of local site
           conditions
           high variability    suggests prevalent influence of ground motion of
           focal mechanism & radiation, given the differences between the
           characteristics of the analyzed earthquakes
   The work reported in this paper was partly sponsored by the Romanian National Authority for Scientific Research, ANCS.

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15WCEE_628_Craifaleanu

  • 1. AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES Iolanda-Gabriela CRAIFALEANU Technical University of Civil Engineering Bucharest, Romania & National R&D Institute “URBAN-INCERC”, INCERC Bucharest Branch i.craifaleanu@gmail.com, iolanda.craifaleanu@utcb.ro
  • 2. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES PECULIARITIES OF VRANCEA SEISMICITY Radiation directivity Difficulties in significantly identifying the depth differentiated between of the base rock for a the 4 analyzed large part of the area earthquakes (Sandi et al., affected by Vrancea 2004; Sandi&Borcia, 2011) Sandi&Borcia, earthquakes Strong Vrancea 04.03. 30.08. 30.05. 31.05. events 1977 1986 1990 1990 Seismic events: January 1st, 1900 – December 31st, 2008. Data according to ROMPLUS Catalogue (INFP, 2009) NE-SW NE-SW N-S NW-SE Radiation directivity Simplified classification: 2 basic types of sites, according to the event- to-event variability of the frequency content (Sandi et al., 2004): variable frequency content determinant influence of the focal mechanism & radiation / long distance attenuation stable frequency content determinant influence of local soil conditions
  • 3. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES METHOD Database of 300+ ground motions Ground motion database: 313 records 122 recorded during 101 Vrancea 4 strong earthquakes Earthquakes 85 87 (Mw>6) generated by Total 70 61 the Vrancea Horizontal 37 seismogenic zone Vertical 31 26 since 1977 3 2 1 Comparative analysis March 4, 1977 Aug. 30, 1986 May 30, 1990 May 31,1990 of 11 analytical estimators of the frequency content March 4, Aug. 30, May 30, May 31, 1977 1986 1990 1990 Results correlated with information provided by Mw=7.4 Mw=7.1 Mw=6.9 Mw=6.4 4 spectral bandwidth h=94 km h=131 km h=91 km h=87 km measures
  • 4. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES ANALYSED PARAMETERS: PERIOD-TYPE QUANTITIES… T1(PSD) - period for the highest PSD TgSA - predominant period based on amplitude peak acceleration spectrum Tcen - central period, based on Vanmarcke TgSV - predominant period based on central frequency, velocity spectrum Tmean - mean period, based on the mean frequency, ω , of the power spectrum TgSEI - predominant period based on Tms - mean square period (Rathje, 1998) input energy spectrum   Tms = ∑ Ci2  1  ∑ Ci2   f  Tmean* - modified mean period and mean* i  i i  for 0.25Hz ≤fi ≤20Hz Tcen* - modified central period (Ruiz- cen* (Ruiz- Garcia & Miranda, 2005) formulas similar to Tmean and where Ci are the Fourier amplitudes of the Tcen, but with modified definitions of spectral moments, accelerogram and fi are the discrete FFT based on the squared values of the velocity spectra for frequencies elastic 5%-damped SDOFs 5%- T4.3 - characteristic period, empirical relationship suggested by Heidebrecht in 1987: PGV … & BANDWIDTH MEASURES T4.3 = 4.3 PGA shape factor, q (Vanmarcke, 1976) and used by Fajfar & Fischinger in 1990 ε parameter (Cartwright & Longuet-Higgins, 1956) Longuet- TC - characteristic period, alternate ξ parameter (Boore, 2003) definition proposed by Lungu et al. in 1997 modified shape factor, q*, (Ruiz-Garcia & (Ruiz- Miranda, 2005)
  • 5. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES CORRELATION STUDIES y=a— x+b, horizontal components y=a x+b, Tms T1(PSD) Tmean Tcen TgSA TgSV TgSEI TC Tmean* Tcen* T4.3 q q* ε ξ Good and remarkably Tms 1 0.531 0.763 0.570 0.441 0.285 0.417 0.831 0.330 0.235 0.759 0.515 0.574 0.445 0.551 stable correlations between: T1(PSD) 0.531 1 0.384 0.261 0.227 0.189 0.358 0.468 0.242 0.182 0.378 0.324 0.375 0.161 0.201 Tmean 0.763 Tms (Rathje et al., 1998) and Tcen 0.570 0.384 0.261 1 0.921 0.921 0.543 0.127 0.204 0.512 0.111 1 0.443 0.071 0.126 0.341 0.048 0.066 0.559 0.272 0.267 0.481 0.588 0.023 0.410 0.098 0.149 0.420 0.491 TC (Lungu et al., 1997) TgSA 0.441 0.227 0.543 0.443 1 0.030 0.064 0.276 0.023 0.007 0.307 0.196 0.108 0.356 0.435 Tmean (=1/mean freq. of TgSV 0.285 TgSEI 0.417 0.189 0.127 0.071 0.030 1 0.417 0.366 0.627 0.574 0.266 0.253 0.565 0.127 0.133 power spectrum) 0.358 0.204 0.126 0.064 0.417 1 0.426 0.403 0.338 0.318 0.258 0.474 0.111 0.127 TC 0.831 0.468 0.512 0.341 0.276 0.366 0.426 1 0.401 0.290 0.715 0.442 0.673 0.274 0.371 T4.3 (Heidebrecht, 1987) Tmean* 0.330 0.242 0.111 0.048 0.023 0.627 0.403 0.401 1 0.975 0.356 0.229 0.769 0.053 0.072 Tcen* 0.235 0.182 0.066 0.023 0.007 0.574 0.338 0.290 0.975 1 0.276 0.160 0.626 0.028 0.040 By using the y=a— x T4.3 0.759 0.378 0.559 0.410 0.307 0.266 0.318 0.715 0.356 0.276 1 0.379 0.519 0.310 0.372 dependency, both R2 and a > 0.5 good 0.1…0.5 intermediate < 0.1 weak correlation coefficients show remarkably low event-to-event variability All records, 30.08. 30.05. 31.05. y=a— xx incl. y=a— 1986 1990 1990 04.03.1977 Simple Simple R2 0.8122 0.8143 0.2084 0.7954 empirical empirical Tms-TC a 0.8006 0.7954 0.8083 0.8017 relationships relationships R2 0.7238 0.7723 0.6978 0.7619 between between Tms-Tmean a 1.5409 1.5304 1.4562 1.5328 the TT-type the -type R2 0.7146 0.6745 0.6137 0.7216 parameters parameters Tms -T4.3 a 1.2008 1.1049 1.1705 1.1508
  • 6. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES SPATIAL & TEMPORAL VARIABILITY OF T-TYPE PARAMS T1(PSD) - period for the highest PSD amplitude peak 30.08.1986 30.08.1986 30.05.1990 30.05.1990 31.05.1990 31.05.1990 Stations in the NE & SE : relatively small variability of T1(PSD) values with the event suggests prevalent influence of local site conditions on freq. content Other stations : large T1(PSD) values (& narrowband motions) for one (two) events & much smaller values for the other event(s) suggests prevalent influence of focal mechanism & radiation for these stations Same observations for Tms
  • 7. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES SPATIAL & TEMPORAL VARIABILITY OF T-TYPE PARAMS T1(PSD) - period for the highest PSD amplitude peak BUCHAREST BUCHAREST 30.08.1986 30.08.1986 30.05.1990 30.05.1990 31.05.1990 31.05.1990 Large values of T1(PSD) for the 1986 earthquake (& narrowband motions), for one or both horizontal components of all Bucharest records Opposite situation for the 1990 earthquakes (exception: 31.05.1990, MTR1 station) Probable explanation the different characteristics (directivity of radiation / attenuation) of the analyzed earthquakes
  • 8. PPT available at: Iolanda-Gabriela CRAIFALEANU AN ASSESSMENT OF THE RELEVANCE OF PARAMETERS USED FOR GROUND MOTION FREQUENCY CONTENT CHARACTERIZATION WITH APPLICATION TO VRANCEA SUBCRUSTAL EARTHQUAKES CONCLUSIONS Good and remarkably stable correlations found between the mean square period, Tms (Rathje et al., 1998) and the characteristic period, TC (Lungu et al., 1997) the mean period of the power spectrum, Tmean the characteristic period based on peak ground motion values, T4.3 (Heidebrecht, 1987) simple empirical relationships between the above parameters Interevent (event-to-event) variability of T-type parameters and factors influencing the frequency content of the ground motion: low variability suggests prevalent influence of local site conditions high variability suggests prevalent influence of ground motion of focal mechanism & radiation, given the differences between the characteristics of the analyzed earthquakes The work reported in this paper was partly sponsored by the Romanian National Authority for Scientific Research, ANCS.