Location

Location ANSS

The ANSS event ID is ak02393mlqi5 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak02393mlqi5/executive.

2023/07/17 10:40:53 61.442 -149.476 40.5 3.4 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/07/17 10:40:53:0  61.44 -149.48  40.5 3.4 Alaska
 
 Stations used:
   AK.FIRE AK.GHO AK.GLI AK.KNK AK.PWL AK.RC01 AK.SAW AK.SCM 
   AT.PMR 
 
 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 = 3.27e+21 dyne-cm
  Mw = 3.61 
  Z  = 40 km
  Plane   Strike  Dip  Rake
   NP1      143    80   170
   NP2      235    80    10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   3.27e+21     14      99
    N   0.00e+00     76     280
    P  -3.27e+21      0     189

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -3.11e+21
       Mxy    -9.94e+20
       Mxz    -1.16e+20
       Myy     2.92e+21
       Myz     7.65e+20
       Mzz     1.94e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ##--------------------------           
             ####--------------------------          
           ######----------------------------        
          ########----------------------######       
         ##########------------------##########      
        #############------------###############     
        ##############--------##################     
       ################-----#####################    
       #################-########################    
       ###############----##################   ##    
       #############-------################# T ##    
        ##########----------################   #     
        ########--------------##################     
         #####------------------###############      
          ##---------------------#############       
           ------------------------##########        
             ------------------------######          
              -------------------------###           
                 ------   -------------              
                     -- P ---------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.94e+20  -1.16e+20  -7.65e+20 
 -1.16e+20  -3.11e+21   9.94e+20 
 -7.65e+20   9.94e+20   2.92e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20230717104053/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 = 235
      DIP = 80
     RAKE = 10
       MW = 3.61
       HS = 40.0

The NDK file is 20230717104053.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   330    85     5   2.84 0.2233
WVFGRD96    2.0    55    90    -5   2.97 0.3243
WVFGRD96    3.0    55    90    -5   3.03 0.3746
WVFGRD96    4.0    55    75     0   3.08 0.4150
WVFGRD96    5.0    55    75     0   3.12 0.4498
WVFGRD96    6.0    55    75     5   3.16 0.4800
WVFGRD96    7.0    55    80     0   3.19 0.5078
WVFGRD96    8.0   230    70   -10   3.23 0.5301
WVFGRD96    9.0   235    75     0   3.25 0.5479
WVFGRD96   10.0   235    75     0   3.28 0.5622
WVFGRD96   11.0   235    75     0   3.29 0.5731
WVFGRD96   12.0   240    70    25   3.34 0.5836
WVFGRD96   13.0   240    70    30   3.37 0.5943
WVFGRD96   14.0   240    70    25   3.38 0.6027
WVFGRD96   15.0   240    70    25   3.39 0.6091
WVFGRD96   16.0   240    70    25   3.40 0.6137
WVFGRD96   17.0   240    75    30   3.42 0.6179
WVFGRD96   18.0   235    75    20   3.40 0.6225
WVFGRD96   19.0   235    75    20   3.41 0.6279
WVFGRD96   20.0   235    75    20   3.42 0.6335
WVFGRD96   21.0   235    80    25   3.44 0.6385
WVFGRD96   22.0   235    80    25   3.45 0.6440
WVFGRD96   23.0   235    80    25   3.46 0.6495
WVFGRD96   24.0   235    80    25   3.47 0.6560
WVFGRD96   25.0   235    80    20   3.46 0.6621
WVFGRD96   26.0   235    80    20   3.47 0.6677
WVFGRD96   27.0   235    80    20   3.48 0.6732
WVFGRD96   28.0   235    80    20   3.49 0.6781
WVFGRD96   29.0   235    80    15   3.49 0.6836
WVFGRD96   30.0   235    80    15   3.49 0.6890
WVFGRD96   31.0   235    80    15   3.50 0.6933
WVFGRD96   32.0   235    80    10   3.50 0.6977
WVFGRD96   33.0   235    80    10   3.51 0.7019
WVFGRD96   34.0   235    80    10   3.52 0.7034
WVFGRD96   35.0   235    80    10   3.53 0.7057
WVFGRD96   36.0   235    85    10   3.54 0.7073
WVFGRD96   37.0   235    85    10   3.56 0.7079
WVFGRD96   38.0   235    85    10   3.57 0.7108
WVFGRD96   39.0   235    85    10   3.59 0.7111
WVFGRD96   40.0   235    80    10   3.61 0.7147
WVFGRD96   41.0   235    80    10   3.62 0.7137
WVFGRD96   42.0   235    80    10   3.63 0.7134
WVFGRD96   43.0   235    80    10   3.64 0.7130
WVFGRD96   44.0   235    80    10   3.65 0.7115
WVFGRD96   45.0   235    80    10   3.66 0.7121
WVFGRD96   46.0   235    80    10   3.67 0.7107
WVFGRD96   47.0   235    80    10   3.68 0.7092
WVFGRD96   48.0   235    80    10   3.68 0.7085
WVFGRD96   49.0   235    80    10   3.69 0.7062
WVFGRD96   50.0   235    85    10   3.70 0.7062
WVFGRD96   51.0   235    85    10   3.70 0.7040
WVFGRD96   52.0   235    85    10   3.71 0.7047
WVFGRD96   53.0   235    85    10   3.71 0.7030
WVFGRD96   54.0   235    85    10   3.72 0.7023
WVFGRD96   55.0   235    85    10   3.73 0.7001
WVFGRD96   56.0   235    85    10   3.73 0.7006
WVFGRD96   57.0   235    85    10   3.74 0.6976
WVFGRD96   58.0    55    90   -10   3.74 0.6969
WVFGRD96   59.0    55    90   -10   3.75 0.6939

The best solution is

WVFGRD96   40.0   235    80    10   3.61 0.7147

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 01:35:39 AM CDT 2024