Location

Location ANSS

The ANSS event ID is ak022eza9c3z and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak022eza9c3z/executive.

2022/11/22 08:50:07 61.718 -149.584 43.9 4 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2022/11/22 08:50:07:0  61.72 -149.58  43.9 4.0 Alaska
 
 Stations used:
   AK.GHO AK.KNK AK.L22K AK.PWL AK.SAW AK.SCM AK.SKN AT.PMR 
   AV.STLK 
 
 Filtering commands used:
   cut o DIST/3.3 -40 o DIST/3.3 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.10 n 3 
   br c 0.12 0.25 n 4 p 2
 
 Best Fitting Double Couple
  Mo = 6.31e+21 dyne-cm
  Mw = 3.80 
  Z  = 52 km
  Plane   Strike  Dip  Rake
   NP1      180    75   -65
   NP2      299    29   -148
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.31e+21     26     251
    N   0.00e+00     24     353
    P  -6.31e+21     53     120

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -4.50e+14
       Mxy     2.58e+21
       Mxz     6.90e+20
       Myy     2.86e+21
       Myz    -4.95e+21
       Mzz    -2.86e+21
                                                     
                                                     
                                                     
                                                     
                     ------########                  
                 ----------############              
              -------#####-###############           
             --###########--------#########          
           -#############------------########        
          ###############--------------#######       
         ################----------------######      
        ################-------------------#####     
        ################--------------------####     
       #################---------------------####    
       #################----------------------###    
       #################----------------------###    
       #####   #########-----------   --------###    
        #### T #########----------- P ---------#     
        ####   #########-----------   ---------#     
         ################---------------------#      
          ###############---------------------       
           ##############--------------------        
             #############-----------------          
              ############----------------           
                 ##########------------              
                     ######--------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -2.86e+21   6.90e+20   4.95e+21 
  6.90e+20  -4.50e+14  -2.58e+21 
  4.95e+21  -2.58e+21   2.86e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20221122085007/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 = 180
      DIP = 75
     RAKE = -65
       MW = 3.80
       HS = 52.0

The NDK file is 20221122085007.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 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
br c 0.12 0.25 n 4 p 2
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   155    65    35   3.12 0.3281
WVFGRD96    4.0    50    75    20   3.21 0.3499
WVFGRD96    6.0    25    80    50   3.24 0.4528
WVFGRD96    8.0    35    70    55   3.33 0.5017
WVFGRD96   10.0    35    65    55   3.34 0.5271
WVFGRD96   12.0    35    60    50   3.36 0.5425
WVFGRD96   14.0    35    60    50   3.36 0.5537
WVFGRD96   16.0    30    60    50   3.38 0.5625
WVFGRD96   18.0    30    60    50   3.39 0.5682
WVFGRD96   20.0   215    60   -30   3.47 0.5883
WVFGRD96   22.0   215    60   -35   3.48 0.6095
WVFGRD96   24.0   210    60   -40   3.50 0.6274
WVFGRD96   26.0   215    65   -35   3.52 0.6429
WVFGRD96   28.0   205    65   -45   3.52 0.6550
WVFGRD96   30.0   210    70   -45   3.54 0.6613
WVFGRD96   32.0   185    65   -55   3.57 0.6597
WVFGRD96   34.0   190    70   -50   3.58 0.6577
WVFGRD96   36.0   180    70   -55   3.60 0.6639
WVFGRD96   38.0   180    70   -55   3.62 0.6686
WVFGRD96   40.0   180    75   -65   3.72 0.6595
WVFGRD96   42.0   180    70   -65   3.74 0.6726
WVFGRD96   44.0   180    70   -65   3.76 0.6852
WVFGRD96   46.0   180    70   -65   3.77 0.6954
WVFGRD96   48.0   185    75   -65   3.78 0.7011
WVFGRD96   50.0   180    75   -65   3.79 0.7071
WVFGRD96   52.0   180    75   -65   3.80 0.7083
WVFGRD96   54.0   180    75   -65   3.81 0.7055
WVFGRD96   56.0   185    80   -65   3.82 0.7037
WVFGRD96   58.0   185    80   -65   3.82 0.7024
WVFGRD96   60.0   185    80   -65   3.83 0.6974
WVFGRD96   62.0   180    80   -65   3.84 0.6889
WVFGRD96   64.0   190    85   -65   3.84 0.6829
WVFGRD96   66.0   185    85   -65   3.85 0.6771
WVFGRD96   68.0   185    85   -70   3.86 0.6692
WVFGRD96   70.0   185    85   -70   3.86 0.6591
WVFGRD96   72.0   190    90   -70   3.88 0.6474
WVFGRD96   74.0     5    90    70   3.88 0.6402
WVFGRD96   76.0   185    90   -70   3.89 0.6320
WVFGRD96   78.0   185    90   -70   3.90 0.6223

The best solution is

WVFGRD96   52.0   180    75   -65   3.80 0.7083

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 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
br c 0.12 0.25 n 4 p 2
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 02:54:12 AM CDT 2024