Location

Location ANSS

The ANSS event ID is ak0236rdtjd6 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0236rdtjd6/executive.

2023/05/27 16:49:23 60.281 -152.973 136.3 4.4 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/05/27 16:49:23:0  60.28 -152.97 136.3 4.4 Alaska
 
 Stations used:
   AK.BRLK AK.CAPN AK.FID AK.FIRE AK.GHO AK.GLI AK.HOM AK.KNK 
   AK.L19K AK.L22K AK.N19K AK.O18K AK.O19K AK.P16K AK.P17K 
   AK.PWL AK.Q19K AK.RC01 AK.SAW AK.SCM AK.SKN AK.SLK AK.SWD 
   AK.WAT6 AT.PMR AV.ACH AV.P19K AV.SPCP AV.STLK II.KDAK 
 
 Filtering commands used:
   cut o DIST/3.7 -40 o DIST/3.7 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.08 n 3 
 
 Best Fitting Double Couple
  Mo = 3.55e+22 dyne-cm
  Mw = 4.30 
  Z  = 120 km
  Plane   Strike  Dip  Rake
   NP1       70    65    30
   NP2      326    63   152
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   3.55e+22     38     289
    N   0.00e+00     52     106
    P  -3.55e+22      1     198

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -2.99e+22
       Mxy    -1.70e+22
       Mxz     6.27e+21
       Myy     1.63e+22
       Myz    -1.61e+22
       Mzz     1.36e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              #######---------------------           
             ###########-------------------          
           ###############-------------------        
          ##################------------------       
         #####################-----------------      
        ######   ###############---------------#     
        ###### T ################-------------##     
       #######   #################----------#####    
       ############################-------#######    
       #############################----#########    
       ##########################################    
        #########################-----##########     
        #####################----------#########     
         ----#######-------------------########      
          ------------------------------######       
           -----------------------------#####        
             ---------------------------###          
              --------------------------##           
                 ---   ----------------              
                     P ------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.36e+22   6.27e+21   1.61e+22 
  6.27e+21  -2.99e+22   1.70e+22 
  1.61e+22   1.70e+22   1.63e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20230527164923/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 = 65
     RAKE = 30
       MW = 4.30
       HS = 120.0

The NDK file is 20230527164923.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/3.7 -40 o DIST/3.7 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.08 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96   50.0    60    80    20   4.02 0.1432
WVFGRD96   52.0    60    70    10   4.04 0.1475
WVFGRD96   54.0    60    70    10   4.05 0.1539
WVFGRD96   56.0    60    70     5   4.07 0.1609
WVFGRD96   58.0    60    70     5   4.08 0.1693
WVFGRD96   60.0    60    70     5   4.10 0.1784
WVFGRD96   62.0    60    70     5   4.11 0.1886
WVFGRD96   64.0    60    70     5   4.12 0.2003
WVFGRD96   66.0    60    65     5   4.14 0.2156
WVFGRD96   68.0    70    60    35   4.16 0.2375
WVFGRD96   70.0    70    60    35   4.18 0.2694
WVFGRD96   72.0    70    60    30   4.20 0.3008
WVFGRD96   74.0    70    60    30   4.22 0.3304
WVFGRD96   76.0    70    60    30   4.23 0.3556
WVFGRD96   78.0    70    60    30   4.24 0.3751
WVFGRD96   80.0    70    60    30   4.25 0.3916
WVFGRD96   82.0    70    60    30   4.25 0.4057
WVFGRD96   84.0    70    60    30   4.26 0.4160
WVFGRD96   86.0    70    65    30   4.26 0.4218
WVFGRD96   88.0    70    65    30   4.26 0.4269
WVFGRD96   90.0    70    65    30   4.27 0.4317
WVFGRD96   92.0    70    65    30   4.27 0.4359
WVFGRD96   94.0    70    65    30   4.27 0.4396
WVFGRD96   96.0    70    65    30   4.28 0.4425
WVFGRD96   98.0    70    65    30   4.28 0.4459
WVFGRD96  100.0    70    65    30   4.28 0.4484
WVFGRD96  102.0    70    65    30   4.29 0.4504
WVFGRD96  104.0    70    65    30   4.29 0.4528
WVFGRD96  106.0    70    65    30   4.29 0.4544
WVFGRD96  108.0    70    65    30   4.29 0.4555
WVFGRD96  110.0    70    65    30   4.29 0.4569
WVFGRD96  112.0    70    65    30   4.30 0.4573
WVFGRD96  114.0    70    65    30   4.30 0.4576
WVFGRD96  116.0    70    65    30   4.30 0.4572
WVFGRD96  118.0    70    65    30   4.30 0.4572
WVFGRD96  120.0    70    65    30   4.30 0.4579
WVFGRD96  122.0    70    65    30   4.31 0.4575
WVFGRD96  124.0    70    65    30   4.31 0.4569
WVFGRD96  126.0    70    65    30   4.31 0.4553
WVFGRD96  128.0    70    65    30   4.31 0.4545
WVFGRD96  130.0    70    65    30   4.31 0.4538
WVFGRD96  132.0    70    60    30   4.31 0.4527
WVFGRD96  134.0    70    60    30   4.31 0.4515
WVFGRD96  136.0    70    60    30   4.32 0.4497
WVFGRD96  138.0    70    60    30   4.32 0.4488
WVFGRD96  140.0    70    65    30   4.32 0.4470
WVFGRD96  142.0    70    60    25   4.33 0.4459
WVFGRD96  144.0    70    60    25   4.33 0.4441
WVFGRD96  146.0    70    60    25   4.33 0.4430
WVFGRD96  148.0    70    60    25   4.33 0.4415

The best solution is

WVFGRD96  120.0    70    65    30   4.30 0.4579

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/3.7 -40 o DIST/3.7 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.08 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 Mon Apr 22 11:55:01 PM CDT 2024