Location

Location ANSS

The ANSS event ID is ak02239qtmiy and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak02239qtmiy/executive.

2022/03/12 19:59:48 60.790 -152.082 94.7 4.8 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2022/03/12 19:59:48:0  60.79 -152.08  94.7 4.8 Alaska
 
 Stations used:
   AK.BPAW AK.BRLK AK.CAPN AK.CAST AK.CNP AK.CUT AK.FIRE 
   AK.GHO AK.HIN AK.HOM AK.KNK AK.KTH AK.L18K AK.L19K AK.L20K 
   AK.L22K AK.M16K AK.M20K AK.MCK AK.N18K AK.N19K AK.O18K 
   AK.O19K AK.P17K AK.P23K AK.Q19K AK.R18K AK.RC01 AK.RND 
   AK.SAW AK.SKN AK.SLK AK.SSN AK.SWD AK.TRF AT.PMR AV.ILS 
   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 0.07 n 3 
 
 Best Fitting Double Couple
  Mo = 2.63e+23 dyne-cm
  Mw = 4.88 
  Z  = 106 km
  Plane   Strike  Dip  Rake
   NP1      303    83   135
   NP2       40    45    10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   2.63e+23     36     251
    N   0.00e+00     44     116
    P  -2.63e+23     24     360

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.99e+23
       Mxy     5.43e+22
       Mxz    -1.40e+23
       Myy     1.54e+23
       Myz    -1.18e+23
       Mzz     4.57e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ---------   ----------              
              ------------ P ------------#           
             -------------   -------------#          
           --------------------------------##        
          ###------------------------------###       
         ########--------------------------####      
        #############----------------------#####     
        ################------------------######     
       ####################---------------#######    
       #######################-----------########    
       ##########################--------########    
       #######   ##################-----#########    
        ###### T #####################-#########     
        ######   ####################---########     
         ###########################------#####      
          ########################----------##       
           ####################--------------        
             ###############---------------          
              ##########------------------           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  4.57e+22  -1.40e+23   1.18e+23 
 -1.40e+23  -1.99e+23  -5.43e+22 
  1.18e+23  -5.43e+22   1.54e+23 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20220312195948/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 = 40
      DIP = 45
     RAKE = 10
       MW = 4.88
       HS = 106.0

The NDK file is 20220312195948.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 0.07 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   115    65   -10   3.99 0.2053
WVFGRD96    4.0   115    75   -10   4.05 0.2257
WVFGRD96    6.0   115    80   -20   4.11 0.2263
WVFGRD96    8.0   120    80    25   4.17 0.2296
WVFGRD96   10.0   115    85    25   4.19 0.2281
WVFGRD96   12.0   115    90    25   4.21 0.2251
WVFGRD96   14.0   115    80    20   4.23 0.2203
WVFGRD96   16.0   215    70    10   4.26 0.2234
WVFGRD96   18.0   215    75    15   4.29 0.2295
WVFGRD96   20.0   215    75    15   4.31 0.2352
WVFGRD96   22.0   215    75    15   4.33 0.2399
WVFGRD96   24.0   215    75    15   4.35 0.2441
WVFGRD96   26.0   220    75    20   4.38 0.2480
WVFGRD96   28.0   215    75    15   4.39 0.2515
WVFGRD96   30.0   215    75    15   4.41 0.2545
WVFGRD96   32.0   215    75    15   4.43 0.2564
WVFGRD96   34.0    35    80   -15   4.46 0.2595
WVFGRD96   36.0    30    80   -10   4.48 0.2679
WVFGRD96   38.0    30    80   -10   4.51 0.2798
WVFGRD96   40.0    30    75   -10   4.56 0.2960
WVFGRD96   42.0    30    80   -10   4.59 0.3089
WVFGRD96   44.0    30    75   -10   4.62 0.3218
WVFGRD96   46.0    30    75   -10   4.64 0.3352
WVFGRD96   48.0    30    75   -10   4.66 0.3490
WVFGRD96   50.0    25    70   -10   4.67 0.3628
WVFGRD96   52.0    25    70   -10   4.68 0.3790
WVFGRD96   54.0    25    70   -15   4.70 0.3960
WVFGRD96   56.0    25    70   -10   4.71 0.4165
WVFGRD96   58.0    25    65   -10   4.73 0.4336
WVFGRD96   60.0    30    65    -5   4.74 0.4466
WVFGRD96   62.0    30    60     0   4.75 0.4605
WVFGRD96   64.0    30    60     0   4.76 0.4730
WVFGRD96   66.0    30    60     0   4.77 0.4828
WVFGRD96   68.0    30    60     5   4.77 0.4906
WVFGRD96   70.0    35    55     5   4.78 0.4994
WVFGRD96   72.0    35    55     5   4.79 0.5086
WVFGRD96   74.0    35    55     5   4.80 0.5166
WVFGRD96   76.0    35    55     5   4.80 0.5240
WVFGRD96   78.0    35    50     5   4.81 0.5314
WVFGRD96   80.0    35    50     5   4.82 0.5383
WVFGRD96   82.0    35    50     5   4.82 0.5438
WVFGRD96   84.0    35    50     5   4.83 0.5496
WVFGRD96   86.0    35    50     5   4.83 0.5538
WVFGRD96   88.0    35    50     5   4.84 0.5584
WVFGRD96   90.0    35    50    10   4.84 0.5619
WVFGRD96   92.0    35    50    10   4.85 0.5651
WVFGRD96   94.0    35    50    10   4.85 0.5678
WVFGRD96   96.0    35    50    10   4.85 0.5695
WVFGRD96   98.0    35    45    10   4.86 0.5718
WVFGRD96  100.0    35    45    10   4.86 0.5729
WVFGRD96  102.0    35    45    10   4.87 0.5741
WVFGRD96  104.0    35    45    10   4.87 0.5742
WVFGRD96  106.0    40    45    10   4.88 0.5746
WVFGRD96  108.0    40    45    10   4.88 0.5743
WVFGRD96  110.0    40    45    10   4.88 0.5735
WVFGRD96  112.0    40    45    10   4.88 0.5720
WVFGRD96  114.0    40    45    10   4.89 0.5702
WVFGRD96  116.0    40    45    10   4.89 0.5679
WVFGRD96  118.0    40    45    10   4.89 0.5661
WVFGRD96  120.0    40    45    10   4.89 0.5645
WVFGRD96  122.0    40    45    10   4.89 0.5613
WVFGRD96  124.0    40    45    10   4.90 0.5587
WVFGRD96  126.0    40    45    10   4.90 0.5558
WVFGRD96  128.0    40    45    10   4.90 0.5531
WVFGRD96  130.0    40    45    10   4.90 0.5501
WVFGRD96  132.0    40    45    10   4.90 0.5458
WVFGRD96  134.0    35    45    10   4.90 0.5433
WVFGRD96  136.0    35    50    10   4.90 0.5398
WVFGRD96  138.0    35    50    10   4.90 0.5362

The best solution is

WVFGRD96  106.0    40    45    10   4.88 0.5746

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 0.07 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 Wed Apr 24 10:06:49 PM CDT 2024