Location

Location ANSS

The ANSS event ID is ak024bpxi37y and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak024bpxi37y/executive.

2024/09/11 12:53:14 59.825 -153.323 126.3 3.9 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2024/09/11 12:53:14:0  59.83 -153.32 126.3 3.9 Alaska
 
 Stations used:
   AK.HOM AK.L19K AK.M20K AK.N18K AK.O18K AK.O19K AK.P17K 
   AK.PWL AK.SWD AV.ACH AV.PLBL AV.RED AV.STLK II.KDAK 
 
 Filtering commands used:
   cut o DIST/3.5 -40 o DIST/3.5 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.10 n 3 
 
 Best Fitting Double Couple
  Mo = 9.55e+21 dyne-cm
  Mw = 3.92 
  Z  = 136 km
  Plane   Strike  Dip  Rake
   NP1      286    84   114
   NP2       30    25    15
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   9.55e+21     46     221
    N   0.00e+00     24     104
    P  -9.55e+21     34     356

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -3.85e+21
       Mxy     2.77e+21
       Mxz    -8.03e+21
       Myy     1.96e+21
       Myz    -2.80e+21
       Mzz     1.89e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ------------   -----------##           
             ------------- P -------------#          
           ---------------   --------------##        
          ---------------------------------###       
         -----------------------------------###      
        ------------------------------------####     
        ########-----------------------------###     
       #################---------------------####    
       ########################--------------####    
       #############################--------#####    
       ##################################---#####    
        ###################################---##     
        ###########   ####################------     
         ########## T ###################------      
          #########   ##################------       
           ############################------        
             ########################------          
              ####################--------           
                 #############---------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.89e+21  -8.03e+21   2.80e+21 
 -8.03e+21  -3.85e+21  -2.77e+21 
  2.80e+21  -2.77e+21   1.96e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20240911125314/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 = 30
      DIP = 25
     RAKE = 15
       MW = 3.92
       HS = 136.0

The NDK file is 20240911125314.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/3.5 -40 o DIST/3.5 +50
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    2.0    90    65   -15   2.90 0.1918
WVFGRD96    4.0    10    70    -5   2.97 0.2361
WVFGRD96    6.0    10    75     0   3.05 0.2737
WVFGRD96    8.0    10    75     5   3.14 0.3011
WVFGRD96   10.0    10    75    10   3.20 0.3110
WVFGRD96   12.0    10    85    10   3.23 0.3113
WVFGRD96   14.0   190    90   -10   3.26 0.3058
WVFGRD96   16.0   190    75    -5   3.29 0.2988
WVFGRD96   18.0   185    70   -10   3.33 0.2894
WVFGRD96   20.0   185    65    -5   3.35 0.2823
WVFGRD96   22.0   185    65    -5   3.37 0.2778
WVFGRD96   24.0   185    60    -5   3.39 0.2764
WVFGRD96   26.0   185    60     0   3.41 0.2770
WVFGRD96   28.0   185    65    15   3.43 0.2782
WVFGRD96   30.0   190    65    30   3.46 0.2795
WVFGRD96   32.0   190    65    35   3.49 0.2814
WVFGRD96   34.0   190    65    40   3.51 0.2785
WVFGRD96   36.0   190    70    45   3.54 0.2776
WVFGRD96   38.0   165    85   -25   3.58 0.2819
WVFGRD96   40.0   160    80   -45   3.69 0.3008
WVFGRD96   42.0   340    50   -15   3.71 0.3004
WVFGRD96   44.0   340    45   -15   3.74 0.3112
WVFGRD96   46.0   340    45   -15   3.77 0.3265
WVFGRD96   48.0   340    40   -20   3.79 0.3465
WVFGRD96   50.0   340    35   -20   3.82 0.3702
WVFGRD96   52.0   340    35   -20   3.84 0.3955
WVFGRD96   54.0   340    30   -25   3.86 0.4179
WVFGRD96   56.0   340    30   -25   3.87 0.4363
WVFGRD96   58.0   345    30   -20   3.87 0.4545
WVFGRD96   60.0   345    30   -15   3.87 0.4644
WVFGRD96   62.0   350    30   -15   3.87 0.4781
WVFGRD96   64.0   350    30   -15   3.87 0.4844
WVFGRD96   66.0   355    30    -5   3.87 0.4921
WVFGRD96   68.0   360    15   -15   3.88 0.5107
WVFGRD96   70.0     5    15   -10   3.88 0.5262
WVFGRD96   72.0    10    15    -5   3.88 0.5377
WVFGRD96   74.0    15    15     0   3.88 0.5527
WVFGRD96   76.0    20    15     5   3.89 0.5662
WVFGRD96   78.0    20    15     5   3.89 0.5769
WVFGRD96   80.0    25    15    10   3.89 0.5864
WVFGRD96   82.0    25    15    10   3.89 0.5940
WVFGRD96   84.0    30    15    15   3.89 0.6002
WVFGRD96   86.0    30    15    15   3.89 0.6056
WVFGRD96   88.0    30    15    15   3.89 0.6110
WVFGRD96   90.0    35    15    20   3.89 0.6172
WVFGRD96   92.0    35    15    20   3.89 0.6218
WVFGRD96   94.0    35    15    20   3.89 0.6248
WVFGRD96   96.0    35    15    20   3.89 0.6291
WVFGRD96   98.0    40    15    25   3.89 0.6321
WVFGRD96  100.0    40    15    25   3.89 0.6329
WVFGRD96  102.0    35    20    20   3.89 0.6345
WVFGRD96  104.0    35    20    20   3.89 0.6382
WVFGRD96  106.0    35    20    20   3.90 0.6419
WVFGRD96  108.0    40    20    25   3.90 0.6463
WVFGRD96  110.0    40    20    25   3.90 0.6474
WVFGRD96  112.0    35    20    20   3.90 0.6465
WVFGRD96  114.0    35    20    20   3.90 0.6488
WVFGRD96  116.0    35    20    20   3.90 0.6516
WVFGRD96  118.0    35    20    20   3.90 0.6541
WVFGRD96  120.0    35    20    20   3.90 0.6514
WVFGRD96  122.0    35    20    20   3.90 0.6537
WVFGRD96  124.0    35    20    20   3.90 0.6559
WVFGRD96  126.0    35    20    20   3.90 0.6551
WVFGRD96  128.0    35    20    20   3.91 0.6545
WVFGRD96  130.0    35    20    20   3.91 0.6561
WVFGRD96  132.0    35    20    20   3.91 0.6551
WVFGRD96  134.0    30    25    15   3.91 0.6545
WVFGRD96  136.0    30    25    15   3.92 0.6566
WVFGRD96  138.0    30    25    15   3.92 0.6537
WVFGRD96  140.0    30    25    15   3.92 0.6551
WVFGRD96  142.0    30    25    15   3.92 0.6551
WVFGRD96  144.0    30    25    15   3.92 0.6506
WVFGRD96  146.0    30    25    15   3.92 0.6544
WVFGRD96  148.0    30    25    15   3.92 0.6510

The best solution is

WVFGRD96  136.0    30    25    15   3.92 0.6566

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/3.5 -40 o DIST/3.5 +50
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 Wed Sep 11 08:55:02 CDT 2024