Location

Location ANSS

The ANSS event ID is ak0232cfl6rx and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0232cfl6rx/executive.

2023/02/20 05:34:16 58.932 -154.518 130.5 4.3 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/02/20 05:34:16:0  58.93 -154.52 130.5 4.3 Alaska
 
 Stations used:
   AK.BRLK AK.CNP AK.HOM AK.N18K AK.N19K AK.O18K AK.O19K 
   AK.Q19K AK.SLK AK.SWD AV.ACH AV.P19K AV.PLBL AV.PLK3 AV.RED 
   AV.STLK II.KDAK 
 
 Filtering commands used:
   cut o DIST/3.4 -40 o DIST/3.4 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.08 n 3 
 
 Best Fitting Double Couple
  Mo = 6.38e+22 dyne-cm
  Mw = 4.47 
  Z  = 142 km
  Plane   Strike  Dip  Rake
   NP1      319    58   138
   NP2       75    55    40
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.38e+22     51     285
    N   0.00e+00     39     109
    P  -6.38e+22      2      18

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -5.60e+22
       Mxy    -2.50e+22
       Mxz     6.30e+21
       Myy     1.74e+22
       Myz    -3.07e+22
       Mzz     3.86e+22
                                                     
                                                     
                                                     
                                                     
                     ------------ P                  
                 ----------------   ---              
              ##--------------------------           
             ##########--------------------          
           ###############-------------------        
          ###################-----------------       
         ######################----------------      
        #########################---------------     
        #########   ###############-------------     
       ########## T ################-----------##    
       ##########   #################---------###    
       ###############################------#####    
       ################################---#######    
        ###############################-########     
        -###########################-----#######     
         ----##################----------######      
          --------------------------------####       
           -------------------------------###        
             -----------------------------#          
              ----------------------------           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  3.86e+22   6.30e+21   3.07e+22 
  6.30e+21  -5.60e+22   2.50e+22 
  3.07e+22   2.50e+22   1.74e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20230220053416/index.html
        

Preferred Solution

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

      STK = 75
      DIP = 55
     RAKE = 40
       MW = 4.47
       HS = 142.0

The NDK file is 20230220053416.ndk The waveform inversion is preferred.

Magnitudes

Given the availability of digital waveforms for determination of the moment tensor, this section documents the added processing leading to mLg, if appropriate to the region, and ML by application of the respective IASPEI formulae. As a research study, the linear distance term of the IASPEI formula for ML is adjusted to remove a linear distance trend in residuals to give a regionally defined ML. The defined ML uses horizontal component recordings, but the same procedure is applied to the vertical components since there may be some interest in vertical component ground motions. Residual plots versus distance may indicate interesting features of ground motion scaling in some distance ranges. A residual plot of the regionalized magnitude is given as a function of distance and azimuth, since data sets may transcend different wave propagation provinces.

ML Magnitude


Left: ML computed using the IASPEI formula for Horizontal components. Center: ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot. Right: Residuals from new relation as a function of distance and azimuth.


Left: ML computed using the IASPEI formula for Vertical components (research). Center: ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot. Right: Residuals from new relation as a function of distance and azimuth.

Context

The left panel of the next figure presents the focal mechanism for this earthquake (red) in the context of other nearby events (blue) in the SLU Moment Tensor Catalog. The right panel shows the inferred direction of maximum compressive stress and the type of faulting (green is strike-slip, red is normal, blue is thrust; oblique is shown by a combination of colors). Thus context plot is useful for assessing the appropriateness of the moment tensor of this event.

Waveform Inversion using wvfgrd96

The focal mechanism was determined using broadband seismic waveforms. The location of the event (star) and the stations used for (red) 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's 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 o DIST/3.4 -40 o DIST/3.4 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.08 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   100    45   -85   3.65 0.3162
WVFGRD96    4.0   305    85   -55   3.66 0.2504
WVFGRD96    6.0   130    90    50   3.69 0.3092
WVFGRD96    8.0   130    90    50   3.76 0.3416
WVFGRD96   10.0   130    85    45   3.79 0.3596
WVFGRD96   12.0   220    40    10   3.82 0.3711
WVFGRD96   14.0   220    45    10   3.85 0.3789
WVFGRD96   16.0   220    45    10   3.87 0.3823
WVFGRD96   18.0   225    45    15   3.90 0.3819
WVFGRD96   20.0   225    45    15   3.92 0.3781
WVFGRD96   22.0   225    45    15   3.94 0.3722
WVFGRD96   24.0   235    45    30   3.96 0.3655
WVFGRD96   26.0   235    45    30   3.98 0.3599
WVFGRD96   28.0   240    50    35   4.00 0.3520
WVFGRD96   30.0   240    50    35   4.01 0.3399
WVFGRD96   32.0   240    55    40   4.02 0.3230
WVFGRD96   34.0   240    55    40   4.03 0.3034
WVFGRD96   36.0   240    55    40   4.03 0.2820
WVFGRD96   38.0   215    50     0   4.05 0.2676
WVFGRD96   40.0   120    45   -60   4.14 0.2765
WVFGRD96   42.0   120    45   -60   4.17 0.2823
WVFGRD96   44.0   120    45   -60   4.19 0.2839
WVFGRD96   46.0   120    45   -65   4.20 0.2827
WVFGRD96   48.0   120    45   -65   4.22 0.2810
WVFGRD96   50.0   120    45   -65   4.23 0.2769
WVFGRD96   52.0   125    45   -60   4.23 0.2702
WVFGRD96   54.0   245    50    45   4.23 0.2642
WVFGRD96   56.0   250    50    50   4.24 0.2684
WVFGRD96   58.0    60    60    30   4.24 0.2726
WVFGRD96   60.0    60    60    30   4.25 0.2874
WVFGRD96   62.0    60    65    45   4.28 0.3113
WVFGRD96   64.0    65    60    45   4.29 0.3388
WVFGRD96   66.0    65    60    40   4.31 0.3662
WVFGRD96   68.0    65    55    40   4.32 0.3944
WVFGRD96   70.0    65    55    40   4.34 0.4213
WVFGRD96   72.0    65    55    40   4.35 0.4456
WVFGRD96   74.0    65    55    35   4.36 0.4672
WVFGRD96   76.0    65    55    35   4.37 0.4892
WVFGRD96   78.0    65    55    35   4.38 0.5108
WVFGRD96   80.0    65    55    40   4.38 0.5307
WVFGRD96   82.0    65    55    40   4.39 0.5487
WVFGRD96   84.0    70    55    45   4.39 0.5640
WVFGRD96   86.0    70    55    45   4.40 0.5801
WVFGRD96   88.0    70    55    45   4.40 0.5942
WVFGRD96   90.0    70    55    45   4.41 0.6067
WVFGRD96   92.0    70    55    45   4.41 0.6171
WVFGRD96   94.0    70    55    45   4.41 0.6266
WVFGRD96   96.0    80    50    40   4.42 0.6368
WVFGRD96   98.0    80    50    40   4.43 0.6465
WVFGRD96  100.0    80    50    40   4.43 0.6549
WVFGRD96  102.0    80    50    40   4.43 0.6631
WVFGRD96  104.0    80    50    40   4.44 0.6704
WVFGRD96  106.0    80    50    40   4.44 0.6765
WVFGRD96  108.0    80    50    40   4.44 0.6816
WVFGRD96  110.0    80    50    40   4.44 0.6874
WVFGRD96  112.0    80    50    40   4.45 0.6920
WVFGRD96  114.0    80    50    40   4.45 0.6965
WVFGRD96  116.0    75    55    40   4.45 0.7005
WVFGRD96  118.0    75    55    40   4.45 0.7046
WVFGRD96  120.0    75    55    40   4.45 0.7075
WVFGRD96  122.0    75    55    40   4.45 0.7100
WVFGRD96  124.0    75    55    40   4.46 0.7126
WVFGRD96  126.0    75    55    40   4.46 0.7153
WVFGRD96  128.0    75    55    40   4.46 0.7172
WVFGRD96  130.0    75    55    40   4.46 0.7184
WVFGRD96  132.0    75    55    40   4.46 0.7193
WVFGRD96  134.0    75    55    40   4.46 0.7213
WVFGRD96  136.0    75    55    40   4.47 0.7223
WVFGRD96  138.0    75    55    40   4.47 0.7214
WVFGRD96  140.0    75    55    40   4.47 0.7222
WVFGRD96  142.0    75    55    40   4.47 0.7227
WVFGRD96  144.0    80    55    45   4.47 0.7222
WVFGRD96  146.0    80    55    45   4.47 0.7213
WVFGRD96  148.0    80    55    45   4.47 0.7211
WVFGRD96  150.0    80    55    40   4.48 0.7206
WVFGRD96  152.0    80    55    40   4.48 0.7190
WVFGRD96  154.0    80    55    40   4.48 0.7186
WVFGRD96  156.0    80    55    40   4.49 0.7163
WVFGRD96  158.0    80    55    40   4.49 0.7146

The best solution is

WVFGRD96  142.0    75    55    40   4.47 0.7227

The mechanism corresponding 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, the velocity model used in the predictions may not be perfect and the epicentral parameters may be be off. 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 o DIST/3.4 -40 o DIST/3.4 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.08 n 3 
Figure 3. Waveform comparison for selected depth. Red: observed; Blue - predicted. The time shift with respect to the model prediction is indicated. The percent of fit is also indicated. The time scale is relative to the first trace sample.

Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the waveforms. 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.

Velocity Model

The WUS.model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows (The format is in the model96 format of Computer Programs in Seismology).

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    
Last Changed Mon Apr 22 10:03:05 PM CDT 2024