Location

Location ANSS

The ANSS event ID is ak0232apqri0 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0232apqri0/executive.

2023/02/19 01:46:57 59.392 -153.021 82.0 4.2 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/02/19 01:46:57:0  59.39 -153.02  82.0 4.2 Alaska
 
 Stations used:
   AK.BRLK AK.CNP AK.HOM AK.N19K AK.O18K AK.O19K AK.Q19K 
   AK.SLK AV.ACH AV.P19K AV.RED II.KDAK 
 
 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 0.08 n 3 
   br c 0.12 0.25 n 4 p 2
 
 Best Fitting Double Couple
  Mo = 2.11e+22 dyne-cm
  Mw = 4.15 
  Z  = 92 km
  Plane   Strike  Dip  Rake
   NP1       70    70    40
   NP2      324    53   155
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   2.11e+22     42     293
    N   0.00e+00     46      92
    P  -2.11e+22     11     193

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.75e+22
       Mxy    -8.85e+21
       Mxz     7.89e+21
       Myy     8.76e+21
       Myz    -8.76e+21
       Mzz     8.73e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              #########-------------------           
             #############-----------------          
           ##################----------------        
          #####################---------------       
         ########################--------------      
        ########   ################------------#     
        ######## T #################---------###     
       #########   ##################------######    
       ###############################---########    
       ###############################-##########    
       ############################-----#########    
        ######################----------########     
        ################-----------------#######     
         --------------------------------######      
          -------------------------------#####       
           ------------------------------####        
             ----------------------------##          
              --------   ----------------#           
                 ----- P --------------              
                     -   ----------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  8.73e+21   7.89e+21   8.76e+21 
  7.89e+21  -1.75e+22   8.85e+21 
  8.76e+21   8.85e+21   8.76e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20230219014657/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 = 70
      DIP = 70
     RAKE = 40
       MW = 4.15
       HS = 92.0

The NDK file is 20230219014657.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 0.08 n 3 
br c 0.12 0.25 n 4 p 2
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   260    80    15   3.42 0.4434
WVFGRD96    4.0   265    70    20   3.52 0.5189
WVFGRD96    6.0    70    70   -30   3.56 0.5621
WVFGRD96    8.0    65    65   -35   3.61 0.5769
WVFGRD96   10.0   260    75    25   3.62 0.5890
WVFGRD96   12.0   260    75    20   3.64 0.5907
WVFGRD96   14.0   260    75    15   3.66 0.5885
WVFGRD96   16.0    70    75   -20   3.67 0.5939
WVFGRD96   18.0   255    70    15   3.70 0.5956
WVFGRD96   20.0   255    70    15   3.72 0.6001
WVFGRD96   22.0   255    65    15   3.74 0.6042
WVFGRD96   24.0   255    65    10   3.77 0.6082
WVFGRD96   26.0   255    65    10   3.79 0.6126
WVFGRD96   28.0   255    65    10   3.81 0.6181
WVFGRD96   30.0   255    65    10   3.83 0.6252
WVFGRD96   32.0   255    65    10   3.85 0.6352
WVFGRD96   34.0   255    70    10   3.87 0.6467
WVFGRD96   36.0   255    70    10   3.89 0.6562
WVFGRD96   38.0   255    70    10   3.92 0.6592
WVFGRD96   40.0   255    60    20   3.98 0.6702
WVFGRD96   42.0   250    65    20   4.00 0.6686
WVFGRD96   44.0   245    70   -15   4.00 0.6693
WVFGRD96   46.0   245    65   -20   4.02 0.6754
WVFGRD96   48.0   250    70   -20   4.03 0.6798
WVFGRD96   50.0    70    70    30   4.05 0.6867
WVFGRD96   52.0    70    70    30   4.06 0.6928
WVFGRD96   54.0    70    70    30   4.06 0.6977
WVFGRD96   56.0    70    70    30   4.07 0.7033
WVFGRD96   58.0    70    70    35   4.08 0.7117
WVFGRD96   60.0    70    70    35   4.09 0.7193
WVFGRD96   62.0    75    70    40   4.09 0.7271
WVFGRD96   64.0    75    70    40   4.09 0.7325
WVFGRD96   66.0    75    70    40   4.10 0.7385
WVFGRD96   68.0    70    70    40   4.11 0.7438
WVFGRD96   70.0    70    70    35   4.11 0.7478
WVFGRD96   72.0    70    65    35   4.12 0.7532
WVFGRD96   74.0    70    65    35   4.13 0.7563
WVFGRD96   76.0    70    65    35   4.13 0.7599
WVFGRD96   78.0    70    65    35   4.14 0.7627
WVFGRD96   80.0    70    65    35   4.14 0.7656
WVFGRD96   82.0    70    65    35   4.14 0.7673
WVFGRD96   84.0    70    65    35   4.15 0.7687
WVFGRD96   86.0    70    65    35   4.15 0.7696
WVFGRD96   88.0    70    65    35   4.16 0.7706
WVFGRD96   90.0    70    65    35   4.16 0.7709
WVFGRD96   92.0    70    70    40   4.15 0.7713
WVFGRD96   94.0    70    70    40   4.15 0.7708
WVFGRD96   96.0    70    70    40   4.16 0.7696
WVFGRD96   98.0    70    70    40   4.16 0.7692
WVFGRD96  100.0    70    70    40   4.16 0.7689
WVFGRD96  102.0    70    70    40   4.17 0.7686
WVFGRD96  104.0    70    70    40   4.17 0.7670
WVFGRD96  106.0    70    70    40   4.17 0.7647
WVFGRD96  108.0    70    70    40   4.18 0.7640
WVFGRD96  110.0    70    70    40   4.18 0.7622
WVFGRD96  112.0    70    70    40   4.18 0.7600
WVFGRD96  114.0    70    70    40   4.19 0.7571
WVFGRD96  116.0    70    70    40   4.19 0.7557
WVFGRD96  118.0    70    70    40   4.19 0.7537
WVFGRD96  120.0    70    70    40   4.19 0.7507
WVFGRD96  122.0    70    70    45   4.20 0.7492
WVFGRD96  124.0    70    70    45   4.20 0.7463
WVFGRD96  126.0    70    70    40   4.20 0.7441
WVFGRD96  128.0    70    70    40   4.21 0.7429
WVFGRD96  130.0    70    70    40   4.21 0.7394
WVFGRD96  132.0    65    70    40   4.23 0.7385
WVFGRD96  134.0    65    70    40   4.23 0.7365
WVFGRD96  136.0    65    70    40   4.23 0.7291
WVFGRD96  138.0    65    70    35   4.24 0.7189
WVFGRD96  140.0    65    70    35   4.24 0.7047
WVFGRD96  142.0    65    70    30   4.24 0.6892
WVFGRD96  144.0    65    70    30   4.24 0.6670
WVFGRD96  146.0    65    75    25   4.22 0.6185
WVFGRD96  148.0    65    75    20   4.22 0.5463

The best solution is

WVFGRD96   92.0    70    70    40   4.15 0.7713

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 0.08 n 3 
br c 0.12 0.25 n 4 p 2
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 Mon Apr 22 09:48:34 PM CDT 2024