Location

2001/11/24 07:10:31 36.75N 129.96E 12 3.81 Korea

Arrival Times

Focal Mechanism

 SLU Moment Tensor Solution
 2001/11/24 07:10:31 36.75N 129.96E 12 3.81 Korea
 
 Best Fitting Double Couple
    Mo = 5.82e+21 dyne-cm
    Mw = 3.81 
    Z  = 12 km
     Plane   Strike  Dip  Rake
      NP1      315    75    20
      NP2      220    71   164
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   5.82e+21     25     178
     N   0.00e+00     65     350
     P  -5.82e+21      3      87



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx     4.79e+21
       Mxy    -4.98e+20
       Mxz    -2.22e+21
       Myy    -5.78e+21
       Myz    -2.18e+20
       Mzz     9.95e+20
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ######################              
              ##########################--           
             ---####################-------          
           --------###############-----------        
          ------------#########---------------       
         ---------------#####------------------      
        ----------------------------------------     
        -----------------####-------------------     
       -----------------#######----------------      
       ---------------##########--------------- P    
       --------------#############-------------      
       -------------################-------------    
        -----------##################-----------     
        ----------####################----------     
         --------#######################-------      
          ------#########################-----       
           -----##########################---        
             --############   ############-          
              -############ T ############           
                 ##########   #########              
                     ##############                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
  9.95e+20  -2.22e+21   2.18e+20 
 -2.22e+21   4.79e+21   4.98e+20 
  2.18e+20   4.98e+20  -5.78e+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 = 75
     RAKE = 20
       MW = 3.81
       HS = 12

The waveform inversion is preferred. This solution agrees with the surface-wave solution. This solution is well 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 0.02 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   105    45   -50   3.81 0.2975
WVFGRD96    1.0   105    50   -55   3.82 0.3141
WVFGRD96    2.0   115    60   -35   3.76 0.3235
WVFGRD96    3.0   120    65   -25   3.75 0.3574
WVFGRD96    4.0   120    70   -25   3.75 0.3881
WVFGRD96    5.0   130    70   -15   3.75 0.4129
WVFGRD96    6.0   125    75   -15   3.76 0.4347
WVFGRD96    7.0   320    60    30   3.80 0.4694
WVFGRD96    8.0   320    60    30   3.81 0.4904
WVFGRD96    9.0   315    70    20   3.81 0.5003
WVFGRD96   10.0   315    70    20   3.81 0.5057
WVFGRD96   11.0   315    70    20   3.81 0.5067
WVFGRD96   12.0   315    75    20   3.81 0.5070
WVFGRD96   13.0   315    75    20   3.81 0.5044
WVFGRD96   14.0   315    80    15   3.82 0.5006
WVFGRD96   15.0   315    80    15   3.82 0.4952
WVFGRD96   16.0   315    80    15   3.83 0.4879
WVFGRD96   17.0   130    70   -20   3.80 0.4813
WVFGRD96   18.0   130    70   -20   3.81 0.4763
WVFGRD96   19.0   125    85   -15   3.84 0.4710
WVFGRD96   20.0   125    80   -10   3.85 0.4667
WVFGRD96   21.0   125    80   -15   3.85 0.4619
WVFGRD96   22.0   125    80   -15   3.86 0.4573
WVFGRD96   23.0   125    80   -15   3.87 0.4518
WVFGRD96   24.0   125    80   -15   3.88 0.4458
WVFGRD96   25.0   125    80   -15   3.90 0.4395

The best solution is

WVFGRD96   12.0   315    75    20   3.81 0.5070

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=     213.52
  DIP=      76.43
 RAKE=     154.23
  
             OR
  
  STK=     309.98
  DIP=      65.00
 RAKE=      15.00
 
 
DEPTH = 11.0 km
 
Mw = 3.86
Best Fit 0.9556 - 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
ULJ       264   41 iP_D
KAN       322  141 eP_X
TAG       230  148 eP_-
GKP1      231  149 iP_-
PUS       203  197 iP_+
HKU       267  225 iP_+
SEO       288  275 eP_X
CHNB      306  296 eP_X
KWJ       237  313 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)   
KAN	  322	  141
TAG	  230	  148
GKP1	  231	  149
PUS	  203	  197
HKU	  267	  225
SEO	  288	  275
CHNB	  306	  296
KWJ	  237	  313

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 Mon Sep 12 09:53:10 CDT 2005