Location

Location ANSS

The ANSS event ID is ak0201zcjff3 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0201zcjff3/executive.

2020/02/12 14:16:04 58.816 -154.489 117.7 4.5 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2020/02/12 14:16:04:0  58.82 -154.49 117.7 4.5 Alaska
 
 Stations used:
   AK.BRLK AK.CNP AK.HOM AK.N18K AK.O18K AK.O19K AK.P16K 
   AK.P17K AK.Q19K AV.ACH AV.ILSW AV.RED II.KDAK TA.N17K 
   TA.O15K TA.P18K TA.P19K 
 
 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 = 6.38e+22 dyne-cm
  Mw = 4.47 
  Z  = 134 km
  Plane   Strike  Dip  Rake
   NP1      319    76   154
   NP2       55    65    15
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.38e+22     28     275
    N   0.00e+00     61     113
    P  -6.38e+22      8       9

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -6.10e+22
       Mxy    -1.32e+22
       Mxz    -6.25e+21
       Myy     4.83e+22
       Myz    -2.74e+22
       Mzz     1.27e+22
                                                     
                                                     
                                                     
                                                     
                     -------- P ---                  
                 ------------   -------              
              ----------------------------           
             ####--------------------------          
           #########-------------------------        
          #############----------------------#       
         ################-------------------###      
        ###################----------------#####     
        ####################--------------######     
       ####   ################----------#########    
       #### T ##################-------##########    
       ####   ###################----############    
       ##########################################    
        ########################----############     
        ######################-------###########     
         ##################-----------#########      
          ############------------------######       
           -##--------------------------#####        
             ----------------------------##          
              ----------------------------           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.27e+22  -6.25e+21   2.74e+22 
 -6.25e+21  -6.10e+22   1.32e+22 
  2.74e+22   1.32e+22   4.83e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20200212141604/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 = 55
      DIP = 65
     RAKE = 15
       MW = 4.47
       HS = 134.0

The NDK file is 20200212141604.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   270    40   -85   3.57 0.1897
WVFGRD96    4.0   310    85    30   3.55 0.2121
WVFGRD96    6.0   135    70    30   3.63 0.2529
WVFGRD96    8.0   135    70    30   3.72 0.2839
WVFGRD96   10.0   135    70    30   3.77 0.3031
WVFGRD96   12.0   135    70    30   3.81 0.3063
WVFGRD96   14.0   135    70    30   3.85 0.2998
WVFGRD96   16.0   135    70    30   3.87 0.2868
WVFGRD96   18.0   135    75    35   3.89 0.2701
WVFGRD96   20.0   130    80    35   3.91 0.2484
WVFGRD96   22.0   220    60    25   3.93 0.2384
WVFGRD96   24.0   230    60    35   3.94 0.2406
WVFGRD96   26.0   230    60    35   3.95 0.2405
WVFGRD96   28.0   230    60    35   3.97 0.2389
WVFGRD96   30.0   230    70    40   3.98 0.2370
WVFGRD96   32.0   230    65    40   4.00 0.2354
WVFGRD96   34.0   230    65    40   4.00 0.2295
WVFGRD96   36.0   230    65    40   4.01 0.2236
WVFGRD96   38.0   230    65    40   4.03 0.2171
WVFGRD96   40.0    20    55   -45   4.13 0.2177
WVFGRD96   42.0    20    55   -45   4.15 0.2176
WVFGRD96   44.0    20    55   -45   4.17 0.2138
WVFGRD96   46.0    45    60    30   4.19 0.2235
WVFGRD96   48.0    45    60    30   4.21 0.2337
WVFGRD96   50.0    45    60    30   4.23 0.2442
WVFGRD96   52.0    45    60    30   4.25 0.2554
WVFGRD96   54.0    50    60    35   4.26 0.2692
WVFGRD96   56.0    50    60    35   4.28 0.2895
WVFGRD96   58.0    50    60    30   4.29 0.3143
WVFGRD96   60.0    55    55    30   4.31 0.3393
WVFGRD96   62.0    55    55    25   4.32 0.3638
WVFGRD96   64.0    55    55    25   4.34 0.3875
WVFGRD96   66.0    60    50    20   4.36 0.4073
WVFGRD96   68.0    60    50    20   4.37 0.4254
WVFGRD96   70.0    60    50    15   4.39 0.4403
WVFGRD96   72.0    60    50    15   4.39 0.4544
WVFGRD96   74.0    60    50    15   4.40 0.4650
WVFGRD96   76.0    60    55    25   4.39 0.4757
WVFGRD96   78.0    60    55    25   4.40 0.4865
WVFGRD96   80.0    60    55    25   4.40 0.4957
WVFGRD96   82.0    60    55    25   4.41 0.5041
WVFGRD96   84.0    60    55    25   4.41 0.5123
WVFGRD96   86.0    60    55    25   4.42 0.5182
WVFGRD96   88.0    60    55    20   4.42 0.5246
WVFGRD96   90.0    60    55    20   4.43 0.5292
WVFGRD96   92.0    60    55    20   4.43 0.5352
WVFGRD96   94.0    60    55    20   4.43 0.5401
WVFGRD96   96.0    60    55    20   4.44 0.5447
WVFGRD96   98.0    60    55    20   4.44 0.5486
WVFGRD96  100.0    60    55    15   4.45 0.5520
WVFGRD96  102.0    60    60    20   4.44 0.5556
WVFGRD96  104.0    60    60    20   4.44 0.5592
WVFGRD96  106.0    60    60    20   4.44 0.5626
WVFGRD96  108.0    60    60    20   4.44 0.5661
WVFGRD96  110.0    60    60    20   4.45 0.5680
WVFGRD96  112.0    55    65    20   4.44 0.5702
WVFGRD96  114.0    55    65    20   4.44 0.5717
WVFGRD96  116.0    55    65    20   4.45 0.5734
WVFGRD96  118.0    55    65    20   4.45 0.5754
WVFGRD96  120.0    55    65    20   4.45 0.5766
WVFGRD96  122.0    55    65    15   4.46 0.5781
WVFGRD96  124.0    55    65    15   4.46 0.5799
WVFGRD96  126.0    55    65    15   4.46 0.5807
WVFGRD96  128.0    55    65    15   4.47 0.5810
WVFGRD96  130.0    55    65    15   4.47 0.5812
WVFGRD96  132.0    55    65    15   4.47 0.5819
WVFGRD96  134.0    55    65    15   4.47 0.5823
WVFGRD96  136.0    55    65    15   4.48 0.5817
WVFGRD96  138.0    55    65    15   4.48 0.5806
WVFGRD96  140.0    55    70    15   4.48 0.5810
WVFGRD96  142.0    55    70    15   4.48 0.5809
WVFGRD96  144.0    55    70    15   4.48 0.5800
WVFGRD96  146.0    55    70    15   4.48 0.5788
WVFGRD96  148.0    55    70    15   4.49 0.5791

The best solution is

WVFGRD96  134.0    55    65    15   4.47 0.5823

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 Thu Apr 25 11:48:09 AM CDT 2024