Location

Location ANSS

The ANSS event ID is ak019azmohto and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak019azmohto/executive.

2019/08/27 22:23:39 63.238 -149.852 95.8 3.5 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2019/08/27 22:23:39:0  63.24 -149.85  95.8 3.5 Alaska
 
 Stations used:
   AK.CUT AK.GHO AK.HDA AK.MCK AK.PPLA AK.RND AK.SCM AK.SSN 
   AK.TRF AT.PMR TA.M20K TA.M22K 
 
 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 = 4.62e+21 dyne-cm
  Mw = 3.71 
  Z  = 112 km
  Plane   Strike  Dip  Rake
   NP1       60    75    25
   NP2      323    66   164
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   4.62e+21     28     283
    N   0.00e+00     61      89
    P  -4.62e+21      6     190

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -4.24e+21
       Mxy    -1.60e+21
       Mxz     9.23e+20
       Myy     3.26e+21
       Myz    -1.79e+21
       Mzz     9.77e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ####------------------------           
             #########---------------------          
           ##############--------------------        
          #################-------------------       
         ####################----------------##      
        #######################------------#####     
        ####   #################---------#######     
       ##### T ###################-----##########    
       #####   ####################-#############    
       ###########################--#############    
       ########################------############    
        ####################----------##########     
        ################---------------#########     
         ##########--------------------########      
          ##----------------------------######       
           -----------------------------#####        
             ---------------------------###          
              ---------------------------#           
                 ------   -------------              
                     -- P ---------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  9.77e+20   9.23e+20   1.79e+21 
  9.23e+20  -4.24e+21   1.60e+21 
  1.79e+21   1.60e+21   3.26e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20190827222339/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 = 60
      DIP = 75
     RAKE = 25
       MW = 3.71
       HS = 112.0

The NDK file is 20190827222339.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   130    50   -50   2.78 0.1968
WVFGRD96    4.0   330    75    25   2.80 0.2134
WVFGRD96    6.0   150    70    20   2.88 0.2347
WVFGRD96    8.0   330    75    30   2.96 0.2460
WVFGRD96   10.0   330    70    30   3.01 0.2462
WVFGRD96   12.0   330    70    30   3.04 0.2365
WVFGRD96   14.0     5    75   -30   3.21 0.2369
WVFGRD96   16.0    10    75   -25   3.23 0.2352
WVFGRD96   18.0    10    75   -20   3.25 0.2307
WVFGRD96   20.0    55    55    15   3.16 0.2320
WVFGRD96   22.0    55    55    15   3.19 0.2395
WVFGRD96   24.0    55    55    20   3.22 0.2505
WVFGRD96   26.0    55    55    20   3.24 0.2651
WVFGRD96   28.0    60    50    20   3.28 0.2831
WVFGRD96   30.0    60    50    20   3.30 0.3032
WVFGRD96   32.0    60    50    20   3.33 0.3237
WVFGRD96   34.0    60    55    20   3.34 0.3474
WVFGRD96   36.0    60    55    20   3.36 0.3725
WVFGRD96   38.0    60    60    20   3.38 0.3890
WVFGRD96   40.0    65    55    25   3.45 0.4006
WVFGRD96   42.0    60    60    20   3.46 0.4084
WVFGRD96   44.0    60    55    25   3.50 0.4222
WVFGRD96   46.0    60    60    25   3.51 0.4379
WVFGRD96   48.0    65    60    40   3.52 0.4538
WVFGRD96   50.0    65    65    45   3.53 0.4755
WVFGRD96   52.0    65    65    45   3.54 0.4916
WVFGRD96   54.0    65    65    45   3.55 0.5037
WVFGRD96   56.0    65    65    40   3.56 0.5133
WVFGRD96   58.0    65    65    40   3.56 0.5224
WVFGRD96   60.0    65    65    40   3.57 0.5325
WVFGRD96   62.0    60    70    35   3.57 0.5413
WVFGRD96   64.0    60    70    35   3.58 0.5482
WVFGRD96   66.0    60    70    30   3.59 0.5551
WVFGRD96   68.0    60    70    30   3.60 0.5597
WVFGRD96   70.0    60    70    30   3.60 0.5650
WVFGRD96   72.0    60    70    30   3.61 0.5703
WVFGRD96   74.0    60    70    30   3.61 0.5754
WVFGRD96   76.0    60    70    30   3.62 0.5780
WVFGRD96   78.0    60    70    30   3.62 0.5811
WVFGRD96   80.0    60    70    25   3.64 0.5850
WVFGRD96   82.0    60    70    25   3.64 0.5866
WVFGRD96   84.0    60    70    25   3.65 0.5900
WVFGRD96   86.0    60    75    25   3.65 0.5946
WVFGRD96   88.0    60    75    25   3.65 0.5953
WVFGRD96   90.0    60    75    25   3.66 0.5982
WVFGRD96   92.0    60    75    25   3.66 0.5988
WVFGRD96   94.0    60    75    25   3.67 0.6022
WVFGRD96   96.0    60    75    25   3.67 0.6030
WVFGRD96   98.0    60    75    25   3.68 0.6019
WVFGRD96  100.0    60    75    25   3.68 0.6048
WVFGRD96  102.0    60    75    25   3.69 0.6046
WVFGRD96  104.0    60    75    25   3.69 0.6038
WVFGRD96  106.0    60    75    25   3.70 0.6050
WVFGRD96  108.0    60    75    25   3.70 0.6059
WVFGRD96  110.0    60    75    25   3.71 0.6036
WVFGRD96  112.0    60    75    25   3.71 0.6062
WVFGRD96  114.0    60    75    25   3.71 0.6036
WVFGRD96  116.0    60    75    25   3.72 0.6050
WVFGRD96  118.0    60    75    25   3.72 0.6037
WVFGRD96  120.0    60    75    25   3.73 0.6019
WVFGRD96  122.0    60    75    25   3.73 0.6030
WVFGRD96  124.0    60    75    25   3.73 0.5987
WVFGRD96  126.0    60    80    25   3.73 0.6004
WVFGRD96  128.0    65    75    25   3.74 0.5952
WVFGRD96  130.0    65    75    25   3.74 0.5970
WVFGRD96  132.0    65    75    25   3.75 0.5938
WVFGRD96  134.0    65    75    25   3.75 0.5949
WVFGRD96  136.0    65    75    25   3.75 0.5923
WVFGRD96  138.0    65    75    25   3.76 0.5909
WVFGRD96  140.0    65    75    25   3.76 0.5891
WVFGRD96  142.0    65    75    25   3.76 0.5877
WVFGRD96  144.0    65    75    25   3.77 0.5851
WVFGRD96  146.0    65    75    25   3.77 0.5847
WVFGRD96  148.0    65    75    25   3.77 0.5795

The best solution is

WVFGRD96  112.0    60    75    25   3.71 0.6062

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 03:42:36 PM CDT 2024