Location

2004/10/20 06:59:18 52.90 9.60 0 4.5 Germany

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  2004/10/20 06:59:18:0  52.90    9.60   0.0 4.5 Germany
 
 Stations used:
   CH.BALST CH.SLE CH.SULZ CH.WILA CH.ZUR CZ.KHC CZ.NKC G.ECH 
   GE.IBBN GE.WLF GR.BRG GR.BSEG GR.BUG GR.CLL GR.CLZ GR.FUR 
   GR.GEC2 GR.MOX GR.NRDL GR.UBBA GR.WET II.BFO IU.GRFO NL.HGN 
   NL.WTSB OE.MOA OE.WTTA SX.TANN 
 
 Filtering commands used:
   cut a -30 a 210
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.05 n 3 
 
 Best Fitting Double Couple
  Mo = 3.31e+22 dyne-cm
  Mw = 4.28 
  Z  = 15 km
  Plane   Strike  Dip  Rake
   NP1      130    70   -25
   NP2      229    67   -158
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   3.31e+22      2     180
    N   0.00e+00     58     274
    P  -3.31e+22     32      89

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     3.31e+22
       Mxy    -4.68e+20
       Mxz    -1.61e+21
       Myy    -2.41e+22
       Myz    -1.48e+22
       Mzz    -9.00e+21
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ######################              
              ############################           
             ##############################          
           -########################---------        
          ---###################--------------       
         -----###############------------------      
        -------############---------------------     
        ---------#######------------------------     
       -----------####-------------------   -----    
       ---------------------------------- P -----    
       ------------##--------------------   -----    
       ----------######--------------------------    
        --------##########----------------------     
        -------#############--------------------     
         -----#################----------------      
          ---#####################------------       
           --#########################-------        
             ##############################          
              ############################           
                 #########   ##########              
                     ##### T ######                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -9.00e+21  -1.61e+21   1.48e+22 
 -1.61e+21   3.31e+22   4.68e+20 
  1.48e+22   4.68e+20  -2.41e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20041020065918/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 = 130
      DIP = 70
     RAKE = -25
       MW = 4.28
       HS = 15.0

The NDK file is 20041020065918.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
OTHER
 USGS/SLU Moment Tensor Solution
 ENS  2004/10/20 06:59:18:0  52.90    9.60   0.0 4.5 Germany
 
 Stations used:
   CH.BALST CH.SLE CH.SULZ CH.WILA CH.ZUR CZ.KHC CZ.NKC G.ECH 
   GE.IBBN GE.WLF GR.BRG GR.BSEG GR.BUG GR.CLL GR.CLZ GR.FUR 
   GR.GEC2 GR.MOX GR.NRDL GR.UBBA GR.WET II.BFO IU.GRFO NL.HGN 
   NL.WTSB OE.MOA OE.WTTA SX.TANN 
 
 Filtering commands used:
   cut a -30 a 210
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.05 n 3 
 
 Best Fitting Double Couple
  Mo = 3.31e+22 dyne-cm
  Mw = 4.28 
  Z  = 15 km
  Plane   Strike  Dip  Rake
   NP1      130    70   -25
   NP2      229    67   -158
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   3.31e+22      2     180
    N   0.00e+00     58     274
    P  -3.31e+22     32      89

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     3.31e+22
       Mxy    -4.68e+20
       Mxz    -1.61e+21
       Myy    -2.41e+22
       Myz    -1.48e+22
       Mzz    -9.00e+21
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ######################              
              ############################           
             ##############################          
           -########################---------        
          ---###################--------------       
         -----###############------------------      
        -------############---------------------     
        ---------#######------------------------     
       -----------####-------------------   -----    
       ---------------------------------- P -----    
       ------------##--------------------   -----    
       ----------######--------------------------    
        --------##########----------------------     
        -------#############--------------------     
         -----#################----------------      
          ---#####################------------       
           --#########################-------        
             ##############################          
              ############################           
                 #########   ##########              
                     ##### T ######                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -9.00e+21  -1.61e+21   1.48e+22 
 -1.61e+21   3.31e+22   4.68e+20 
  1.48e+22   4.68e+20  -2.41e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20041020065918/index.html
	
 Cesca et al 2010 JGR Vol 115 B06304 do1:10.1029/JB006450
 ENS  2004/10/20 06:59:18:0  53.01    9.63   6.3 4.5 Rotenburg, Germany
 
 Best Fitting Double Couple
  Mo = 5.01e+22 dyne-cm
  Mw = 4.40 
  Z  = 6 km
  Plane   Strike  Dip  Rake
   NP1      328    67   -126
   NP2      210    42   -36
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.01e+22     14      84
    N   0.00e+00     33     344
    P  -5.01e+22     53     194

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.62e+22
       Mxy     8.79e+20
       Mxz     2.46e+22
       Myy     4.55e+22
       Myz     1.77e+22
       Mzz    -2.93e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ---------------#######              
              #######-------##############           
             ###########-##################          
           ###########----###################        
          ###########-------##################       
         ##########----------##################      
        ##########-------------#################     
        #########---------------############   #     
       #########-----------------########### T ##    
       ########-------------------##########   ##    
       ########--------------------##############    
       #######----------------------#############    
        ######-----------------------###########     
        ######----------   -----------##########     
         #####---------- P -----------#########      
          ####----------   ------------#######       
           ####------------------------######        
             ##------------------------####          
              ##-----------------------###           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -2.93e+22   2.46e+22  -1.77e+22 
  2.46e+22  -1.62e+22  -8.79e+20 
 -1.77e+22  -8.79e+20   4.55e+22 

        

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 -30 a 210
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.05 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    1.0   140    65    20   3.95 0.1964
WVFGRD96    2.0   145    55    30   4.08 0.2551
WVFGRD96    3.0   140    65    30   4.10 0.2905
WVFGRD96    4.0   140    65    35   4.14 0.3142
WVFGRD96    5.0   140    65    30   4.15 0.3374
WVFGRD96    6.0   140    65    30   4.17 0.3470
WVFGRD96    7.0   140    70    30   4.18 0.3580
WVFGRD96    8.0   140    70    30   4.21 0.3711
WVFGRD96    9.0   140    70    30   4.22 0.3742
WVFGRD96   10.0   130    70   -30   4.23 0.3737
WVFGRD96   11.0   130    70   -30   4.24 0.3874
WVFGRD96   12.0   130    70   -30   4.25 0.3943
WVFGRD96   13.0   130    70   -25   4.26 0.3987
WVFGRD96   14.0   130    70   -25   4.27 0.4032
WVFGRD96   15.0   130    70   -25   4.28 0.4032
WVFGRD96   16.0   135    75   -20   4.28 0.4031
WVFGRD96   17.0   135    75   -20   4.28 0.4010
WVFGRD96   18.0   135    75   -20   4.29 0.3974
WVFGRD96   19.0   135    75   -20   4.30 0.3928
WVFGRD96   20.0   135    75   -20   4.30 0.3869
WVFGRD96   21.0   135    75   -20   4.31 0.3806
WVFGRD96   22.0   135    75   -15   4.31 0.3736
WVFGRD96   23.0   135    75   -15   4.32 0.3662
WVFGRD96   24.0   135    80   -15   4.32 0.3586
WVFGRD96   25.0   135    80   -15   4.33 0.3504
WVFGRD96   26.0   135    80   -15   4.33 0.3419
WVFGRD96   27.0   135    80   -10   4.34 0.3333
WVFGRD96   28.0   135    80   -10   4.35 0.3278
WVFGRD96   29.0   135    80   -10   4.35 0.3193

The best solution is

WVFGRD96   15.0   130    70   -25   4.28 0.4032

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 -30 a 210
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.05 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=Thu Jul 3 03:25:58 CDT 2014

Last Changed 2004/10/20