Location

Location ANSS

The ANSS event ID is ak023dz554ac and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak023dz554ac/executive.

2023/10/31 23:12:35 60.953 -150.662 44.9 4 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/10/31 23:12:35:0  60.95 -150.66  44.9 4.0 Alaska
 
 Stations used:
   AK.BAE AK.BRLK AK.CAPN AK.CNP AK.FID AK.FIRE AK.GHO AK.GLI 
   AK.HOM AK.KNK AK.M19K AK.PPLA AK.PWL AK.RC01 AK.SAW AK.SKN 
   AK.SLK AK.SWD AK.WAT6 AT.PMR AV.RED 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 0.07 n 3 
 
 Best Fitting Double Couple
  Mo = 1.78e+22 dyne-cm
  Mw = 4.10 
  Z  = 56 km
  Plane   Strike  Dip  Rake
   NP1      170    65   -65
   NP2      302    35   -132
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.78e+22     16     242
    N   0.00e+00     23     339
    P  -1.78e+22     62     119

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     2.70e+21
       Mxy     8.51e+21
       Mxz     1.33e+21
       Myy     9.64e+21
       Myz    -1.08e+22
       Mzz    -1.23e+22
                                                     
                                                     
                                                     
                                                     
                     ---###########                  
                 ------################              
              --------####################           
             --#######--------#############          
           -#########-------------###########        
          ###########----------------#########       
         ############------------------########      
        #############--------------------#######     
        #############---------------------######     
       ##############-----------------------#####    
       ##############-----------------------#####    
       ###############----------   ----------####    
       ###############---------- P -----------###    
        ###############---------   -----------##     
        ###   #########-----------------------##     
         ## T ##########----------------------#      
          #   ##########----------------------       
           ##############--------------------        
             #############-----------------          
              #############---------------           
                 ############----------              
                     #########-----                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -1.23e+22   1.33e+21   1.08e+22 
  1.33e+21   2.70e+21  -8.51e+21 
  1.08e+22  -8.51e+21   9.64e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20231031231235/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 = 170
      DIP = 65
     RAKE = -65
       MW = 4.10
       HS = 56.0

The NDK file is 20231031231235.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 0.07 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0   165    45    90   3.25 0.1343
WVFGRD96    2.0   345    45    90   3.37 0.1674
WVFGRD96    3.0   320    65    65   3.42 0.1712
WVFGRD96    4.0   125    90   -65   3.47 0.2067
WVFGRD96    5.0   125    90   -65   3.49 0.2407
WVFGRD96    6.0   125    90   -65   3.50 0.2663
WVFGRD96    7.0   305    85    60   3.50 0.2868
WVFGRD96    8.0   120    90   -65   3.58 0.2986
WVFGRD96    9.0   120    90   -65   3.59 0.3128
WVFGRD96   10.0   300    90    65   3.59 0.3229
WVFGRD96   11.0   305    90    60   3.59 0.3305
WVFGRD96   12.0   115    80   -65   3.61 0.3383
WVFGRD96   13.0   115    80   -65   3.62 0.3432
WVFGRD96   14.0   115    80   -65   3.63 0.3466
WVFGRD96   15.0   115    80   -65   3.64 0.3516
WVFGRD96   16.0   115    80   -65   3.65 0.3557
WVFGRD96   17.0   115    80   -60   3.66 0.3594
WVFGRD96   18.0   115    80   -60   3.67 0.3626
WVFGRD96   19.0   115    80   -60   3.67 0.3649
WVFGRD96   20.0   115    80   -60   3.68 0.3665
WVFGRD96   21.0   115    80   -60   3.70 0.3677
WVFGRD96   22.0   120    85   -60   3.70 0.3682
WVFGRD96   23.0   120    85   -60   3.71 0.3680
WVFGRD96   24.0   120    85   -60   3.72 0.3663
WVFGRD96   25.0   120    85   -60   3.73 0.3638
WVFGRD96   26.0   120    85   -60   3.74 0.3604
WVFGRD96   27.0   105    90   -75   3.77 0.3551
WVFGRD96   28.0   105    90   -75   3.78 0.3542
WVFGRD96   29.0   105    90   -75   3.78 0.3520
WVFGRD96   30.0   105    90   -75   3.79 0.3494
WVFGRD96   31.0   180    85   -80   3.78 0.3501
WVFGRD96   32.0   180    85   -75   3.79 0.3532
WVFGRD96   33.0   180    85   -75   3.80 0.3581
WVFGRD96   34.0   185    85   -75   3.81 0.3646
WVFGRD96   35.0   180    80   -70   3.82 0.3712
WVFGRD96   36.0   180    80   -70   3.83 0.3784
WVFGRD96   37.0   175    70   -60   3.86 0.3905
WVFGRD96   38.0   170    65   -60   3.87 0.4107
WVFGRD96   39.0   175    65   -60   3.89 0.4305
WVFGRD96   40.0   170    65   -65   3.99 0.4318
WVFGRD96   41.0   170    65   -65   4.00 0.4404
WVFGRD96   42.0   170    65   -65   4.01 0.4481
WVFGRD96   43.0   170    65   -65   4.02 0.4549
WVFGRD96   44.0   170    65   -65   4.03 0.4602
WVFGRD96   45.0   170    65   -65   4.04 0.4658
WVFGRD96   46.0   170    65   -65   4.05 0.4712
WVFGRD96   47.0   170    65   -65   4.05 0.4768
WVFGRD96   48.0   170    65   -65   4.06 0.4807
WVFGRD96   49.0   170    65   -65   4.07 0.4843
WVFGRD96   50.0   170    65   -65   4.07 0.4884
WVFGRD96   51.0   170    65   -65   4.08 0.4906
WVFGRD96   52.0   170    65   -65   4.08 0.4924
WVFGRD96   53.0   170    65   -65   4.09 0.4952
WVFGRD96   54.0   170    65   -65   4.09 0.4955
WVFGRD96   55.0   170    65   -65   4.10 0.4962
WVFGRD96   56.0   170    65   -65   4.10 0.4973
WVFGRD96   57.0   170    65   -65   4.11 0.4967
WVFGRD96   58.0   170    65   -65   4.11 0.4968
WVFGRD96   59.0   170    65   -65   4.12 0.4959

The best solution is

WVFGRD96   56.0   170    65   -65   4.10 0.4973

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 0.07 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 Tue Apr 23 04:56:31 AM CDT 2024