Location

Location ANSS

The ANSS event ID is ak020f7rgkgu and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak020f7rgkgu/executive.

2020/11/26 21:12:10 62.010 -150.014 42.1 4.6 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2020/11/26 21:12:10:0  62.01 -150.01  42.1 4.6 Alaska
 
 Stations used:
   AK.CUT AK.DIV AK.FID AK.FIRE AK.GHO AK.GLI AK.KLU AK.KNK 
   AK.MCK AK.PAX AK.PPLA AK.RC01 AK.RND AK.SAW AK.SCM AK.SKN 
   AK.SLK AK.SSN AK.WRH AT.PMR AV.RED AV.SPU AV.STLK TA.M22K 
   TA.O22K 
 
 Filtering commands used:
   cut o DIST/3.3 -50 o DIST/3.3 +40
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.10 n 3 
 
 Best Fitting Double Couple
  Mo = 1.04e+23 dyne-cm
  Mw = 4.61 
  Z  = 53 km
  Plane   Strike  Dip  Rake
   NP1      345    55   -60
   NP2      120    45   -126
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.04e+23      6      54
    N   0.00e+00     24     147
    P  -1.04e+23     65     312

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     2.68e+22
       Mxy     5.78e+22
       Mxz    -2.07e+22
       Myy     5.74e+22
       Myz     3.73e+22
       Mzz    -8.42e+22
                                                     
                                                     
                                                     
                                                     
                     ---###########                  
                 ----------############              
              ---------------#############           
             ------------------###########           
           ---------------------########## T         
          -----------------------#########   #       
         #------------------------#############      
        ##------------   ----------#############     
        ###----------- P -----------############     
       ####-----------   -----------#############    
       #####-------------------------############    
       ######------------------------############    
       #######-----------------------############    
        ########----------------------##########     
        ##########--------------------##########     
         ###########------------------#########      
          #############--------------#########       
           ################----------######--        
             ########################------          
              ######################------           
                 ##################----              
                     #############-                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -8.42e+22  -2.07e+22  -3.73e+22 
 -2.07e+22   2.68e+22  -5.78e+22 
 -3.73e+22  -5.78e+22   5.74e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20201126211210/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 = 345
      DIP = 55
     RAKE = -60
       MW = 4.61
       HS = 53.0

The NDK file is 20201126211210.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/3.3 -50 o DIST/3.3 +40
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0   255    45   -75   3.73 0.2020
WVFGRD96    2.0   250    45   -85   3.88 0.2587
WVFGRD96    3.0    95    85   -50   3.88 0.2434
WVFGRD96    4.0   300    70    60   3.94 0.2748
WVFGRD96    5.0     0    40   -25   3.95 0.3059
WVFGRD96    6.0     0    40   -25   3.97 0.3304
WVFGRD96    7.0     0    45   -25   3.99 0.3478
WVFGRD96    8.0     0    40   -30   4.06 0.3571
WVFGRD96    9.0     0    40   -30   4.08 0.3684
WVFGRD96   10.0     5    45   -25   4.09 0.3739
WVFGRD96   11.0    20    45    25   4.11 0.3783
WVFGRD96   12.0    20    45    25   4.12 0.3802
WVFGRD96   13.0    20    45    25   4.14 0.3792
WVFGRD96   14.0   205    45    35   4.15 0.3823
WVFGRD96   15.0   205    50    35   4.17 0.3863
WVFGRD96   16.0   205    50    35   4.18 0.3886
WVFGRD96   17.0   205    50    35   4.19 0.3898
WVFGRD96   18.0   210    50    35   4.21 0.3913
WVFGRD96   19.0   205    55    35   4.22 0.3924
WVFGRD96   20.0   205    55    30   4.23 0.3923
WVFGRD96   21.0   205    60    40   4.24 0.3945
WVFGRD96   22.0   205    60    35   4.25 0.3953
WVFGRD96   23.0   210    60    40   4.26 0.3981
WVFGRD96   24.0     0    60   -35   4.27 0.4014
WVFGRD96   25.0     0    60   -35   4.28 0.4057
WVFGRD96   26.0     0    60   -35   4.29 0.4106
WVFGRD96   27.0     0    60   -35   4.30 0.4141
WVFGRD96   28.0     0    65   -35   4.31 0.4211
WVFGRD96   29.0     0    60   -30   4.32 0.4322
WVFGRD96   30.0     0    60   -30   4.33 0.4440
WVFGRD96   31.0     0    60   -30   4.34 0.4561
WVFGRD96   32.0     0    60   -35   4.35 0.4663
WVFGRD96   33.0     0    60   -35   4.36 0.4759
WVFGRD96   34.0    -5    60   -40   4.37 0.4853
WVFGRD96   35.0    -5    60   -40   4.38 0.4954
WVFGRD96   36.0    -5    60   -40   4.38 0.5043
WVFGRD96   37.0    -5    60   -45   4.39 0.5121
WVFGRD96   38.0    -5    60   -45   4.40 0.5191
WVFGRD96   39.0   355    60   -45   4.42 0.5254
WVFGRD96   40.0   350    60   -55   4.50 0.5322
WVFGRD96   41.0   345    55   -55   4.52 0.5435
WVFGRD96   42.0   345    55   -60   4.53 0.5539
WVFGRD96   43.0   345    55   -60   4.54 0.5612
WVFGRD96   44.0   345    55   -60   4.55 0.5674
WVFGRD96   45.0   345    55   -60   4.56 0.5751
WVFGRD96   46.0   345    55   -60   4.57 0.5818
WVFGRD96   47.0   345    55   -60   4.58 0.5877
WVFGRD96   48.0   345    55   -60   4.58 0.5932
WVFGRD96   49.0   345    55   -60   4.59 0.5974
WVFGRD96   50.0   345    55   -60   4.60 0.6005
WVFGRD96   51.0   345    55   -60   4.60 0.6018
WVFGRD96   52.0   345    55   -60   4.60 0.6038
WVFGRD96   53.0   345    55   -60   4.61 0.6040
WVFGRD96   54.0   345    55   -60   4.61 0.6039
WVFGRD96   55.0   345    55   -60   4.62 0.6035
WVFGRD96   56.0   345    55   -60   4.62 0.6027
WVFGRD96   57.0   345    55   -60   4.62 0.6011
WVFGRD96   58.0   345    55   -60   4.62 0.6001
WVFGRD96   59.0   345    55   -60   4.63 0.5975

The best solution is

WVFGRD96   53.0   345    55   -60   4.61 0.6040

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/3.3 -50 o DIST/3.3 +40
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 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 Thu Apr 25 11:32:06 PM CDT 2024