Location

2004/01/05 16:49:41 38.7N 125.1E 10 3.33 Korea

Arrival Times

Focal Mechanism

 SLU Moment Tensor Solution
 2004/01/05 16:49:41 38.7N 125.1E 10 3.33 Korea
 
 Best Fitting Double Couple
    Mo = 1.11e+21 dyne-cm
    Mw = 3.33 
    Z  = 10 km
     Plane   Strike  Dip  Rake
      NP1      130    65    65
      NP2      358    35   132
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   1.11e+21     62       1
     N   0.00e+00     23     141
     P  -1.11e+21     16     238



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx    -3.35e+19
       Mxy    -4.53e+20
       Mxz     6.22e+20
       Myy    -7.37e+20
       Myz     2.64e+20
       Mzz     7.70e+20
                                                     
                                                     
                                                     
                                                     
                     #########-----                  
                 ################------              
              #####################-------           
             ########################------          
           -##########################-------        
          ---##########################-------       
         -----#############   ##########-------      
        ------############# T ###########-------     
        -------############   ###########-------     
       ----------########################--------    
       -----------########################-------    
       -------------######################-------    
       ---------------####################-------    
        ----------------#################-------     
        ---   ------------###############-------     
         -- P ---------------###########-------      
          -   ------------------########------       
           -------------------------###------        
             ------------------------######          
              ----------------------######           
                 -----------------#####              
                     -----------###                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
  7.70e+20   6.22e+20  -2.64e+20 
  6.22e+20  -3.35e+19   4.53e+20 
 -2.64e+20   4.53e+20  -7.37e+20 

        

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the station distribution are given in Figure 1.
Figure 1. Location of broadband stations used to obtain focal mechanism

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 = 65
     RAKE = 65
       MW = 3.33
       HS = 10

The waveform inversion with and the surface-wave solution give similar solutions. However, the surface-wave solution may have better depth control because of the low Rayleigh wave amplitudes on the Z and R waveforms. This solution is reasonably determined.

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:

hp c 0.05 3
lp c 0.20 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   335    45    90   3.13 0.3177
WVFGRD96    1.0   325    45    90   3.21 0.3245
WVFGRD96    2.0   270    80   -30   3.17 0.2972
WVFGRD96    3.0   280    85   -40   3.16 0.3372
WVFGRD96    4.0   130    70    45   3.18 0.3804
WVFGRD96    5.0   120    75    40   3.21 0.4196
WVFGRD96    6.0   125    75    40   3.23 0.4493
WVFGRD96    7.0   125    75    40   3.26 0.4704
WVFGRD96    8.0   125    75    45   3.28 0.4843
WVFGRD96    9.0   130    65    50   3.31 0.4935
WVFGRD96   10.0   130    65    50   3.33 0.4975
WVFGRD96   11.0   130    65    50   3.35 0.4959
WVFGRD96   12.0   130    70    55   3.36 0.4904
WVFGRD96   13.0   130    65    55   3.38 0.4824
WVFGRD96   14.0   135    65    60   3.40 0.4705
WVFGRD96   15.0   135    60    60   3.41 0.4545
WVFGRD96   16.0   130    65    60   3.42 0.4351
WVFGRD96   17.0   140    65    70   3.45 0.4139
WVFGRD96   18.0   140    65    70   3.46 0.3934
WVFGRD96   19.0   140    65    70   3.46 0.3714
WVFGRD96   20.0   140    65    70   3.47 0.3492
WVFGRD96   21.0   140    65    70   3.47 0.3262
WVFGRD96   22.0   135    65    70   3.48 0.3064
WVFGRD96   23.0   145    65    75   3.49 0.2894
WVFGRD96   24.0   145    65    75   3.49 0.2757
WVFGRD96   25.0   325    55    65   3.47 0.2830

The best solution is

WVFGRD96   10.0   130    65    50   3.33 0.4975

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 componnet is plotted to the same scale and peak amplitudes are indicated by the numbers to the left of each trace. The number in black at the rightr of each predicted traces 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 bandpass filter used in the processing and for the display was

hp c 0.05 3
lp c 0.20 3
Figure 3. Waveform comparison for depth of 8 km
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.

Surface-Wave Focal Mechanism


  NODAL PLANES 

  
  STK=      21.66
  DIP=      60.50
 RAKE=     132.39
  
             OR
  
  STK=     139.99
  DIP=      50.00
 RAKE=      40.00
 
 
DEPTH = 6.0 km
 
Mw = 3.30
Best Fit 0.8747 - P-T axis plot gives solutions with FIT greater than FIT90

First motion data

The P-wave first motion data for focal mechanism studies are as follow:

Sta Az(deg)    Dist(km)   First motion
BRD       207   91 iP_-
SEO       130  209 eP_X
SES       150  243 eP_+
CHC       112  259 eP_X
DGY       109  333 iP_+

Surface-wave analysis

Surface wave analysis was performed using codes from Computer Programs in Seismology, specifically the multiple filter analysis program do_mft and the surface-wave radiation pattern search program srfgrd96.

Data preparation

Digital data were collected, instrument response removed and traces converted to Z, R an T components. Multiple filter analysis was applied to the Z and T traces to obtain the Rayleigh- and Love-wave spectral amplitudes, respectively. These were input to the search program which examined all depths between 1 and 25 km and all possible mechanisms.
Best mechanism fit as a function of depth. The preferred depth is given above. Lower hemisphere projection

Pressure-tension axis trends. Since the surface-wave spectra search does not distinguish between P and T axes and since there is a 180 ambiguity in strike, all possible P and T axes are plotted. First motion data and waveforms will be used to select the preferred mechanism. The purpose of this plot is to provide an idea of the possible range of solutions. The P and T-axes for all mechanisms with goodness of fit greater than 0.9 FITMAX (above) are plotted here.


Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the Love and Rayleigh wave radiation patterns. 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. Because of the symmetry of the spectral amplitude rediation patterns, only strikes from 0-180 degrees are sampled.

Love-wave radiation patterns

Rayleigh-wave radiation patterns

Broadband station distributiuon

The distribution of broadband stations with azimuth and distance is

Sta Az(deg)    Dist(km)   
BRD	  207	   91
SEO	  130	  209
SES	  150	  243
CHC	  112	  259
DGY	  109	  333
KWJ	  156	  427
ULJ	  119	  440
DAG	  133	  468

Waveform comparison for this mechanism

Since the analysis of the surface-wave radiation patterns uses only spectral amplitudes and because the surfave-wave radiation patterns have a 180 degree symmetry, each surface-wave solution consists of four possible focal mechanisms corresponding to the interchange of the P- and T-axes and a roation of the mechanism by 180 degrees. To select one mechanism, P-wave first motion can be used. This was not possible in this case because all the P-wave first motions were emergent ( a feature of the P-wave wave takeoff angle, the station location and the mechanism). The other way to select among the mechanisms is to compute forward synthetics and compare the observed and predicted waveforms.

The fits to the waveforms with the given mechanism are show below:

This figure shows the fit to the three components of motion (Z - vertical, R-radial and T - transverse). For each station and component, the observed traces is shown in red and the model predicted trace in blue. The traces represent filtered ground velocity in units of meters/sec (the peak value is printed adjacent to each trace; each pair of traces to plotted to the same scale to emphasize the difference in levels). Both synthetic and observed traces have been filtered using the SAC commands:

hp c 0.02 3
lp c 0.10 3
br c 0.13 0.2 n 4 p 2

Discussion

Appendix A

The figures below show the observed spectral amplitudes (units of cm-sec) at each station and the theoretical predictions as a function of period for the mechanism given above. The modified Utah model earth model was used to define the Green's functions. For each station, the Love and Rayleigh wave spectrail amplitudes are plotted with the same scaling so that one can get a sense fo the effects of the effects of the focal mechanism and depth on the excitation of each.

Quality Control

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

Last Changed Wed Oct 26 21:18:52 CDT 2005