Location

2013/12/29 06:54:59 43.10 17.30 10.0 4.7 Croatia

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports archive

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2013/12/29 06:54:59:0  43.10   17.30  10.0 4.7 Croatia
 
 Stations used:
   HT.THE HU.BUD HU.PSZ MN.BLY MN.PDG OE.ABTA OE.ARSA OE.CONA 
   OE.CSNA OE.KBA OE.MOA OE.MYKA OE.OBKA OE.SOKA OE.WTTA 
   RO.BZS SJ.BBLS SJ.FRGS SL.BOJS SL.CADS SL.CEY SL.CRES 
   SL.CRNS SL.GBAS SL.GCIS SL.GORS SL.JAVS SL.KOGS SL.LJU 
   SL.MOZS SL.PERS SL.ROBS SL.SKDS SL.VISS SL.VNDS SL.VOJS 
 
 Filtering commands used:
   cut a -20 a 180
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.06 n 3 
 
 Best Fitting Double Couple
  Mo = 1.72e+22 dyne-cm
  Mw = 4.09 
  Z  = 13 km
  Plane   Strike  Dip  Rake
   NP1      142    68   125
   NP2      260    40    35
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.72e+22     53      94
    N   0.00e+00     32     308
    P  -1.72e+22     16     207

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.25e+22
       Mxy    -6.84e+21
       Mxz     3.56e+21
       Myy     2.80e+21
       Myz     1.03e+22
       Mzz     9.70e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              #---------------------------           
             ##----------------------------          
           #####---------###########---------        
          ######---######################-----       
         #######-###########################---      
        ######----############################--     
        ####------##############################     
       ###---------##############################    
       ##------------###############   ##########    
       #--------------############## T ##########    
       #---------------#############   ##########    
        -----------------#######################     
        ------------------######################     
         -------------------###################      
          --------------------################       
           ---------------------#############        
             ------   -------------########          
              ----- P -----------------###           
                 --   -----------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  9.70e+21   3.56e+21  -1.03e+22 
  3.56e+21  -1.25e+22   6.84e+21 
 -1.03e+22   6.84e+21   2.80e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20131229065459/index.html
        

Preferred Solution

The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion and first motion observations is

      STK = 260
      DIP = 40
     RAKE = 35
       MW = 4.09
       HS = 13.0

The NDK file is 20131229065459.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
 USGS/SLU Moment Tensor Solution
 ENS  2013/12/29 06:54:59:0  43.10   17.30  10.0 4.7 Croatia
 
 Stations used:
   HT.THE HU.BUD HU.PSZ MN.BLY MN.PDG OE.ABTA OE.ARSA OE.CONA 
   OE.CSNA OE.KBA OE.MOA OE.MYKA OE.OBKA OE.SOKA OE.WTTA 
   RO.BZS SJ.BBLS SJ.FRGS SL.BOJS SL.CADS SL.CEY SL.CRES 
   SL.CRNS SL.GBAS SL.GCIS SL.GORS SL.JAVS SL.KOGS SL.LJU 
   SL.MOZS SL.PERS SL.ROBS SL.SKDS SL.VISS SL.VNDS SL.VOJS 
 
 Filtering commands used:
   cut a -20 a 180
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.06 n 3 
 
 Best Fitting Double Couple
  Mo = 1.72e+22 dyne-cm
  Mw = 4.09 
  Z  = 13 km
  Plane   Strike  Dip  Rake
   NP1      142    68   125
   NP2      260    40    35
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.72e+22     53      94
    N   0.00e+00     32     308
    P  -1.72e+22     16     207

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.25e+22
       Mxy    -6.84e+21
       Mxz     3.56e+21
       Myy     2.80e+21
       Myz     1.03e+22
       Mzz     9.70e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              #---------------------------           
             ##----------------------------          
           #####---------###########---------        
          ######---######################-----       
         #######-###########################---      
        ######----############################--     
        ####------##############################     
       ###---------##############################    
       ##------------###############   ##########    
       #--------------############## T ##########    
       #---------------#############   ##########    
        -----------------#######################     
        ------------------######################     
         -------------------###################      
          --------------------################       
           ---------------------#############        
             ------   -------------########          
              ----- P -----------------###           
                 --   -----------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  9.70e+21   3.56e+21  -1.03e+22 
  3.56e+21  -1.25e+22   6.84e+21 
 -1.03e+22   6.84e+21   2.80e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20131229065459/index.html
	

Waveform Inversion

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the and stations used for the waveform inversion are shown in the next figure.
Location of broadband stations used for waveform inversion

The program wvfgrd96 was used with good traces observed at short distance to determine the focal mechanism, depth and seismic moment. This technique requires a high quality signal and well determined velocity model for the Green functions. To the extent that these are the quality data, this type of mechanism should be preferred over the radiation pattern technique which requires the separate step of defining the pressure and tension quadrants and the correct strike.

The observed and predicted traces are filtered using the following gsac commands:

cut a -20 a 180
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.06 n 3 
The results of this grid search from 0.5 to 19 km depth are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    0.5   275    35    55   3.81 0.2701
WVFGRD96    1.0   285    40    75   3.83 0.2764
WVFGRD96    2.0   265    65    25   3.85 0.3211
WVFGRD96    3.0    85    75    45   3.91 0.3327
WVFGRD96    4.0    85    75    50   3.94 0.3500
WVFGRD96    5.0    85    75    50   3.95 0.3666
WVFGRD96    6.0   270    45    40   3.99 0.3885
WVFGRD96    7.0   265    45    35   3.99 0.4115
WVFGRD96    8.0   290    30    80   4.10 0.4421
WVFGRD96    9.0   280    30    65   4.10 0.4620
WVFGRD96   10.0   275    35    55   4.10 0.4756
WVFGRD96   11.0   270    35    50   4.09 0.4834
WVFGRD96   12.0   265    40    45   4.09 0.4861
WVFGRD96   13.0   260    40    35   4.09 0.4869
WVFGRD96   14.0   260    40    35   4.09 0.4849
WVFGRD96   15.0   255    45    30   4.09 0.4818
WVFGRD96   16.0   255    45    30   4.09 0.4770
WVFGRD96   17.0   255    45    25   4.10 0.4704
WVFGRD96   18.0   255    50    25   4.10 0.4631
WVFGRD96   19.0   250    50    20   4.10 0.4557
WVFGRD96   20.0   250    50    20   4.11 0.4473
WVFGRD96   21.0   250    50    20   4.12 0.4391
WVFGRD96   22.0   250    50    20   4.12 0.4292
WVFGRD96   23.0   250    50    20   4.13 0.4187
WVFGRD96   24.0   250    50    20   4.13 0.4076
WVFGRD96   25.0   250    50    20   4.14 0.3961
WVFGRD96   26.0   250    50    15   4.15 0.3847
WVFGRD96   27.0   250    50    15   4.15 0.3733
WVFGRD96   28.0   250    50    15   4.15 0.3616
WVFGRD96   29.0   245    55   -15   4.16 0.3511

The best solution is

WVFGRD96   13.0   260    40    35   4.09 0.4869

The mechanism correspond to the best fit is
Figure 1. Waveform inversion focal mechanism

The best fit as a function of depth is given in the following figure:

Figure 2. Depth sensitivity for waveform mechanism

The comparison of the observed and predicted waveforms is given in the next figure. The red traces are the observed and the blue are the predicted. Each observed-predicted component is plotted to the same scale and peak amplitudes are indicated by the numbers to the left of each trace. A pair of numbers is given in black at the right of each predicted traces. The upper number it the time shift required for maximum correlation between the observed and predicted traces. This time shift is required because the synthetics are not computed at exactly the same distance as the observed and because the velocity model used in the predictions may not be perfect. A positive time shift indicates that the prediction is too fast and should be delayed to match the observed trace (shift to the right in this figure). A negative value indicates that the prediction is too slow. The lower number gives the percentage of variance reduction to characterize the individual goodness of fit (100% indicates a perfect fit).

The bandpass filter used in the processing and for the display was

cut a -20 a 180
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.06 n 3 
Figure 3. Waveform comparison for selected depth
Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to thewavefroms. Each solution is plotted as a vector at a given value of strike and dip with the angle of the vector representing the rake angle, measured, with respect to the upward vertical (N) in the figure.

A check on the assumed source location is possible by looking at the time shifts between the observed and predicted traces. The time shifts for waveform matching arise for several reasons:

Assuming only a mislocation, the time shifts are fit to a functional form:

 Time_shift = A + B cos Azimuth + C Sin Azimuth

The time shifts for this inversion lead to the next figure:

The derived shift in origin time and epicentral coordinates are given at the bottom of the figure.

Discussion

The Future

Should the national backbone of the USGS Advanced National Seismic System (ANSS) be implemented with an interstation separation of 300 km, it is very likely that an earthquake such as this would have been recorded at distances on the order of 100-200 km. This means that the closest station would have information on source depth and mechanism that was lacking here.

Acknowledgements

Dr. Harley Benz, USGS, provided the USGS USNSN digital data. The digital data used in this study were provided by Natural Resources Canada through their AUTODRM site http://www.seismo.nrcan.gc.ca/nwfa/autodrm/autodrm_req_e.php, and IRIS using their BUD interface.

Thanks also to the many seismic network operators whose dedication make this effort possible: University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint L ouis University, Universityof Memphis, Lamont Doehrty Earth Observatory, Boston College, the Iris stations and the Transportable Array of EarthScope.

Velocity Model

The WUS used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:

MODEL.01
Model after     8 iterations
ISOTROPIC
KGS
FLAT EARTH
1-D
CONSTANT VELOCITY
LINE08
LINE09
LINE10
LINE11
      H(KM)   VP(KM/S)   VS(KM/S) RHO(GM/CC)         QP         QS       ETAP       ETAS      FREFP      FREFS
     1.9000     3.4065     2.0089     2.2150  0.302E-02  0.679E-02   0.00       0.00       1.00       1.00    
     6.1000     5.5445     3.2953     2.6089  0.349E-02  0.784E-02   0.00       0.00       1.00       1.00    
    13.0000     6.2708     3.7396     2.7812  0.212E-02  0.476E-02   0.00       0.00       1.00       1.00    
    19.0000     6.4075     3.7680     2.8223  0.111E-02  0.249E-02   0.00       0.00       1.00       1.00    
     0.0000     7.9000     4.6200     3.2760  0.164E-10  0.370E-10   0.00       0.00       1.00       1.00    

Quality Control

Here we tabulate the reasons for not using certain digital data sets

The following stations did not have a valid response files:

DATE=Sun Dec 29 07:54:30 CST 2013

Last Changed 2013/12/29