Location

Location ANSS

The ANSS event ID is ak024b9eizri and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak024b9eizri/executive.

2024/09/01 13:20:21 59.665 -151.522 48.2 4.6 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2024/09/01 13:20:21:0  59.67 -151.52  48.2 4.6 Alaska
 
 Stations used:
   AK.BAE AK.BRLK AK.CUT AK.DIV AK.FID AK.GLI AK.KLU AK.L22K 
   AK.N18K AK.O18K AK.O19K AK.P23K AK.PWL AK.SLK AK.SWD AV.ACH 
   AV.RED AV.STLK II.KDAK 
 
 Filtering commands used:
   cut o DIST/3.4 -30 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 = 5.96e+22 dyne-cm
  Mw = 4.45 
  Z  = 49 km
  Plane   Strike  Dip  Rake
   NP1      190    75   -70
   NP2      315    25   -142
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.96e+22     27     264
    N   0.00e+00     19       5
    P  -5.96e+22     56     125

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -5.89e+21
       Mxy     1.37e+22
       Mxz     1.36e+22
       Myy     3.39e+22
       Myz    -4.68e+22
       Mzz    -2.80e+22
                                                     
                                                     
                                                     
                                                     
                     ----------####                  
                 -----####----#########              
              -##############----#########           
             ###############--------#######          
           ################-----------#######        
          #################-------------######       
         #################----------------#####      
        #################------------------#####     
        #################-------------------####     
       ##################-------------------#####    
       ####   ##########---------------------####    
       #### T ##########---------------------####    
       ####   ##########---------   ----------###    
        ###############---------- P ----------##     
        ###############----------   ----------##     
         ##############----------------------##      
          #############----------------------#       
           ############---------------------#        
             ##########--------------------          
              #########-------------------           
                 #######---------------              
                     ###-----------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -2.80e+22   1.36e+22   4.68e+22 
  1.36e+22  -5.89e+21  -1.37e+22 
  4.68e+22  -1.37e+22   3.39e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20240901132021/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 = 190
      DIP = 75
     RAKE = -70
       MW = 4.45
       HS = 49.0

The NDK file is 20240901132021.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 -30 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    1.0     0    45   -90   3.63 0.1622
WVFGRD96    2.0     0    45   -90   3.74 0.2098
WVFGRD96    3.0   175    40    80   3.80 0.2041
WVFGRD96    4.0     5    45   -85   3.82 0.1910
WVFGRD96    5.0   185    65   -30   3.78 0.1853
WVFGRD96    6.0   185    65   -30   3.80 0.1853
WVFGRD96    7.0   175    90   -50   3.79 0.1960
WVFGRD96    8.0     0    80    60   3.86 0.2079
WVFGRD96    9.0     0    80    60   3.87 0.2227
WVFGRD96   10.0     0    80    60   3.88 0.2360
WVFGRD96   11.0     0    80    60   3.89 0.2477
WVFGRD96   12.0     0    80    60   3.90 0.2582
WVFGRD96   13.0     0    80    55   3.91 0.2678
WVFGRD96   14.0     0    80    60   3.92 0.2766
WVFGRD96   15.0    -5    80    55   3.93 0.2846
WVFGRD96   16.0    -5    80    55   3.94 0.2919
WVFGRD96   17.0    -5    80    55   3.95 0.3000
WVFGRD96   18.0    -5    80    60   3.96 0.3075
WVFGRD96   19.0    -5    80    60   3.97 0.3148
WVFGRD96   20.0    -5    80    60   3.98 0.3217
WVFGRD96   21.0    -5    80    60   4.00 0.3283
WVFGRD96   22.0    -5    80    60   4.01 0.3346
WVFGRD96   23.0    -5    80    60   4.02 0.3401
WVFGRD96   24.0    80    35   -10   4.06 0.3446
WVFGRD96   25.0    45    45   -40   4.08 0.3532
WVFGRD96   26.0    45    45   -35   4.09 0.3604
WVFGRD96   27.0    45    45   -35   4.10 0.3671
WVFGRD96   28.0    45    45   -35   4.11 0.3735
WVFGRD96   29.0   205    80   -60   4.13 0.3870
WVFGRD96   30.0   205    80   -60   4.14 0.3995
WVFGRD96   31.0   205    80   -60   4.16 0.4129
WVFGRD96   32.0   205    80   -60   4.17 0.4257
WVFGRD96   33.0   200    80   -60   4.18 0.4386
WVFGRD96   34.0   200    80   -60   4.19 0.4512
WVFGRD96   35.0   200    80   -60   4.20 0.4633
WVFGRD96   36.0   200    80   -60   4.21 0.4742
WVFGRD96   37.0   200    80   -60   4.22 0.4836
WVFGRD96   38.0   200    80   -60   4.23 0.4923
WVFGRD96   39.0   195    75   -60   4.25 0.5017
WVFGRD96   40.0   195    75   -70   4.37 0.5133
WVFGRD96   41.0   195    75   -70   4.38 0.5264
WVFGRD96   42.0   195    75   -70   4.39 0.5366
WVFGRD96   43.0   195    75   -70   4.40 0.5452
WVFGRD96   44.0   195    75   -70   4.41 0.5523
WVFGRD96   45.0   195    75   -70   4.42 0.5580
WVFGRD96   46.0   195    75   -70   4.43 0.5620
WVFGRD96   47.0   195    75   -70   4.43 0.5645
WVFGRD96   48.0   190    75   -70   4.44 0.5661
WVFGRD96   49.0   190    75   -70   4.45 0.5676
WVFGRD96   50.0   190    75   -70   4.45 0.5671
WVFGRD96   51.0   195    80   -65   4.46 0.5668
WVFGRD96   52.0   195    80   -65   4.46 0.5657
WVFGRD96   53.0   195    80   -65   4.47 0.5641
WVFGRD96   54.0   195    80   -65   4.47 0.5623
WVFGRD96   55.0   195    80   -65   4.48 0.5594
WVFGRD96   56.0   195    80   -65   4.48 0.5561
WVFGRD96   57.0   195    80   -65   4.48 0.5522
WVFGRD96   58.0   195    80   -65   4.49 0.5470
WVFGRD96   59.0   195    80   -65   4.49 0.5422

The best solution is

WVFGRD96   49.0   190    75   -70   4.45 0.5676

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 -30 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 Sun Sep 1 10:20:38 CDT 2024