Location

2004/12/16 18:59:14 41.79N 127.94E 8 3.97 Korea

Arrival Times

Focal Mechanism

 SLU Moment Tensor Solution
 2004/12/16 18:59:14 41.79N 127.94E 8 3.97 Korea
 
 Best Fitting Double Couple
    Mo = 1.01e+22 dyne-cm
    Mw = 3.97 
    Z  = 8 km
     Plane   Strike  Dip  Rake
      NP1      315    80   -15
      NP2       48    75   -170
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   1.01e+22      3       2
     N   0.00e+00     72     102
     P  -1.01e+22     18     271



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx     1.01e+22
       Mxy     4.48e+20
       Mxz     5.40e+20
       Myy    -9.17e+21
       Myz     2.94e+21
       Mzz    -8.95e+20
                                                     
                                                     
                                                     
                                                     
                     ###### T #####                  
                 ##########   #########              
              ############################           
             --############################          
           -------#########################--        
          ----------######################----       
         --------------#################-------      
        -----------------##############---------     
        -------------------###########----------     
       --   -----------------#######-------------    
       -- P -------------------###---------------    
       --   --------------------#----------------    
       ------------------------###---------------    
        --------------------########------------     
        ------------------###########-----------     
         ---------------###############--------      
          -----------###################------       
           -------#######################----        
             #############################-          
              ############################           
                 ######################              
                     ##############                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
 -8.95e+20   5.40e+20  -2.94e+21 
  5.40e+20   1.01e+22  -4.48e+20 
 -2.94e+21  -4.48e+20  -9.17e+21 

        

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 = 315
      DIP = 80
     RAKE = -15
       MW = 3.97
       HS = 8

The surface-wave amplitude inversion is preferred. The waveform fit is satisfactory but lacks depth control.

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 0.02 3
lp c 0.10 3
br c 0.13 0.2 n 4 p 2
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   150    30    40   4.02 0.4306
WVFGRD96    1.0   135    40    30   3.88 0.4167
WVFGRD96    2.0   310    85    10   3.80 0.4532
WVFGRD96    3.0   130    90   -10   3.83 0.4803
WVFGRD96    4.0   315    85    10   3.89 0.4946
WVFGRD96    5.0   315    90    10   3.91 0.5081
WVFGRD96    6.0   315    85   -15   3.93 0.5250
WVFGRD96    7.0   315    85   -15   3.94 0.5305
WVFGRD96    8.0   315    80   -15   3.97 0.5327
WVFGRD96    9.0   315    85   -10   3.96 0.5309
WVFGRD96   10.0   315    85   -10   3.97 0.5227
WVFGRD96   11.0   315    85   -10   3.97 0.5181
WVFGRD96   12.0   315    85   -10   3.98 0.5082
WVFGRD96   13.0   315    85    -5   3.99 0.5023
WVFGRD96   14.0   315    85    -5   4.00 0.4969
WVFGRD96   15.0   135    85    -5   4.00 0.4887
WVFGRD96   16.0   135    85     0   4.01 0.4835
WVFGRD96   17.0   130    85    -5   3.99 0.4781
WVFGRD96   18.0   130    85    -5   4.00 0.4725
WVFGRD96   19.0   130    85    -5   4.01 0.4662
WVFGRD96   20.0   130    85    -5   4.03 0.4592
WVFGRD96   21.0   130    85    -5   4.04 0.4506
WVFGRD96   22.0   310    20    25   4.14 0.4418
WVFGRD96   23.0   310    20    25   4.15 0.4366
WVFGRD96   24.0   310    20    25   4.15 0.4299
WVFGRD96   25.0   310    20    25   4.16 0.4245

The best solution is

WVFGRD96    8.0   315    80   -15   3.97 0.5327

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 0.02 3
lp c 0.10 3
br c 0.13 0.2 n 4 p 2
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=     308.28
  DIP=      85.29
 RAKE=     -20.07
  
             OR
  
  STK=      40.00
  DIP=      70.00
 RAKE=    -174.99
 
 
DEPTH = 6.0 km
 
Mw = 3.93
Best Fit 0.9091 - 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
MDJ        23  341 eP_+
CHNB      190  397 eP_-
SNU       190  489 eP_X
INCN      194  491 eP_+
BRD       215  510 eP_-
HSB       191  592 eP_X

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)   
MDJ	   23	  341
KSA	  174	  357
CHNB	  190	  397
SNU	  190	  489
INCN	  194	  491
BRD	  215	  510
SND	  172	  520
HKU	  185	  577
HSB	  191	  592
TJN	  185	  603
BJT	  263	 1010

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 Fri Sep 16 22:12:29 CDT 2005