Location

Location ANSS

The ANSS event ID is ak0206e332ic and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0206e332ic/executive.

2020/05/18 12:40:26 58.969 -154.292 116.5 3.9 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2020/05/18 12:40:26:0  58.97 -154.29 116.5 3.9 Alaska
 
 Stations used:
   AK.CNP AK.HOM AK.N18K AK.N19K AK.O18K AK.P16K AK.P17K 
   AK.Q19K AV.ILSW II.KDAK TA.N17K TA.O16K 
 
 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 
 
 Best Fitting Double Couple
  Mo = 1.35e+22 dyne-cm
  Mw = 4.02 
  Z  = 118 km
  Plane   Strike  Dip  Rake
   NP1      230    85   -45
   NP2      325    45   -173
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.35e+22     26     286
    N   0.00e+00     45      45
    P  -1.35e+22     34     177

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -8.39e+21
       Mxy    -2.47e+21
       Mxz     7.73e+21
       Myy     1.00e+22
       Myz    -5.40e+21
       Mzz    -1.66e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ############----------------           
             ################--------------          
           #####################----------###        
          ########################-----#######       
         ######################################      
        ###   ####################---###########     
        ### T ##################------##########     
       ####   ###############----------##########    
       ####################-------------#########    
       ##################----------------########    
       ################------------------########    
        #############---------------------######     
        ###########-----------------------######     
         ########-------------------------#####      
          #####---------------------------####       
           ##--------------   ------------###        
             -------------- P -----------##          
              -------------   -----------#           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -1.66e+21   7.73e+21   5.40e+21 
  7.73e+21  -8.39e+21   2.47e+21 
  5.40e+21   2.47e+21   1.00e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20200518124026/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 = 230
      DIP = 85
     RAKE = -45
       MW = 4.02
       HS = 118.0

The NDK file is 20200518124026.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 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   315    75    -5   3.05 0.2007
WVFGRD96    4.0   135    60   -10   3.18 0.2409
WVFGRD96    6.0   135    65   -15   3.25 0.2777
WVFGRD96    8.0   130    65   -35   3.36 0.3114
WVFGRD96   10.0   130    65   -35   3.41 0.3288
WVFGRD96   12.0   130    70   -35   3.46 0.3355
WVFGRD96   14.0   130    70   -30   3.49 0.3334
WVFGRD96   16.0   135    70   -30   3.51 0.3213
WVFGRD96   18.0   135    70   -30   3.54 0.2989
WVFGRD96   20.0   135    70   -30   3.55 0.2654
WVFGRD96   22.0   230    80    35   3.57 0.2800
WVFGRD96   24.0   230    85    30   3.60 0.3034
WVFGRD96   26.0   230    85    30   3.63 0.3217
WVFGRD96   28.0   230    80    25   3.65 0.3330
WVFGRD96   30.0   230    80    25   3.66 0.3361
WVFGRD96   32.0   230    85    25   3.67 0.3367
WVFGRD96   34.0   230    85    25   3.69 0.3335
WVFGRD96   36.0   225    85    15   3.71 0.3374
WVFGRD96   38.0   230    70    30   3.76 0.3441
WVFGRD96   40.0   235    65    40   3.85 0.3604
WVFGRD96   42.0   235    65    40   3.88 0.3637
WVFGRD96   44.0   230    70    30   3.88 0.3677
WVFGRD96   46.0   230    70    30   3.89 0.3730
WVFGRD96   48.0   230    70    30   3.91 0.3773
WVFGRD96   50.0   230    70    30   3.92 0.3814
WVFGRD96   52.0   230    70    30   3.93 0.3846
WVFGRD96   54.0   230    70    30   3.94 0.3875
WVFGRD96   56.0   230    70    30   3.95 0.3899
WVFGRD96   58.0   225    70    25   3.95 0.3933
WVFGRD96   60.0   225    75    25   3.95 0.4002
WVFGRD96   62.0    50    65    25   3.95 0.4042
WVFGRD96   64.0   225    85   -20   3.92 0.4324
WVFGRD96   66.0   225    85   -25   3.94 0.4910
WVFGRD96   68.0    50    90    30   3.95 0.5452
WVFGRD96   70.0   225    85   -35   3.96 0.5950
WVFGRD96   72.0    50    90    40   3.98 0.6114
WVFGRD96   74.0   230    90   -40   3.98 0.6200
WVFGRD96   76.0    50    90    40   3.98 0.6245
WVFGRD96   78.0    50    90    40   3.98 0.6306
WVFGRD96   80.0   230    90   -40   3.98 0.6343
WVFGRD96   82.0   230    90   -40   3.99 0.6382
WVFGRD96   84.0    50    90    40   3.99 0.6421
WVFGRD96   86.0   230    90   -40   3.99 0.6444
WVFGRD96   88.0   230    90   -40   3.99 0.6464
WVFGRD96   90.0   230    90   -40   3.99 0.6468
WVFGRD96   92.0   230    85   -40   3.99 0.6505
WVFGRD96   94.0    50    90    40   4.00 0.6506
WVFGRD96   96.0    50    90    45   4.00 0.6533
WVFGRD96   98.0   230    85   -40   3.99 0.6564
WVFGRD96  100.0    55    90    45   4.01 0.6558
WVFGRD96  102.0   230    85   -45   4.00 0.6603
WVFGRD96  104.0    55    90    45   4.01 0.6577
WVFGRD96  106.0   230    85   -45   4.01 0.6627
WVFGRD96  108.0   230    85   -45   4.01 0.6627
WVFGRD96  110.0   230    85   -45   4.01 0.6635
WVFGRD96  112.0   230    85   -45   4.01 0.6639
WVFGRD96  114.0   230    85   -45   4.01 0.6639
WVFGRD96  116.0   230    85   -45   4.02 0.6659
WVFGRD96  118.0   230    85   -45   4.02 0.6660
WVFGRD96  120.0   230    85   -45   4.02 0.6649
WVFGRD96  122.0   230    85   -45   4.02 0.6648
WVFGRD96  124.0   230    85   -45   4.03 0.6630
WVFGRD96  126.0   230    85   -45   4.03 0.6631
WVFGRD96  128.0   230    85   -45   4.03 0.6637
WVFGRD96  130.0   230    85   -45   4.03 0.6626
WVFGRD96  132.0   230    85   -45   4.03 0.6619
WVFGRD96  134.0   230    80   -45   4.03 0.6615
WVFGRD96  136.0   230    80   -45   4.04 0.6604
WVFGRD96  138.0   230    80   -45   4.04 0.6600
WVFGRD96  140.0   230    80   -45   4.04 0.6592
WVFGRD96  142.0   230    80   -45   4.04 0.6573
WVFGRD96  144.0   230    80   -45   4.04 0.6556
WVFGRD96  146.0   230    80   -45   4.05 0.6537
WVFGRD96  148.0   230    80   -45   4.05 0.6527

The best solution is

WVFGRD96  118.0   230    85   -45   4.02 0.6660

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 
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 04:09:18 PM CDT 2024