Location

Location ANSS

The ANSS event ID is ak018dtutpev and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak018dtutpev/executive.

2018/10/28 03:46:39 59.621 -152.001 67.8 4.2 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2018/10/28 03:46:39:0  59.62 -152.00  67.8 4.2 Alaska
 
 Stations used:
   AK.BRLK AK.CAPN AK.CNP AK.HOM AK.PWL AK.RC01 AV.ILSW 
   TA.N19K TA.O19K TA.O22K TA.P19K TA.Q19K TA.Q20K 
 
 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 = 5.01e+22 dyne-cm
  Mw = 4.40 
  Z  = 74 km
  Plane   Strike  Dip  Rake
   NP1       40    85    40
   NP2      306    50   173
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.01e+22     31     271
    N   0.00e+00     50      46
    P  -5.01e+22     23     166

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -4.00e+22
       Mxy     9.40e+21
       Mxz     1.78e+22
       Myy     3.44e+22
       Myz    -2.65e+22
       Mzz     5.59e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ---------------------------#           
             ---------------------------###          
           ###############-------------######        
          #####################-------########       
         #########################--###########      
        ###########################-############     
        #########################-----##########     
       #####   #################--------#########    
       ##### T ###############-----------########    
       #####   ##############-------------#######    
       ####################----------------######    
        ##################------------------####     
        ################--------------------####     
         #############-----------------------##      
          ###########------------------------#       
           ########--------------------------        
             ####-------------   ----------          
              #--------------- P ---------           
                 -------------   ------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  5.59e+21   1.78e+22   2.65e+22 
  1.78e+22  -4.00e+22  -9.40e+21 
  2.65e+22  -9.40e+21   3.44e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181028034639/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 = 40
      DIP = 85
     RAKE = 40
       MW = 4.40
       HS = 74.0

The NDK file is 20181028034639.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   250    50   -80   3.59 0.2019
WVFGRD96    4.0   280    65   -35   3.59 0.2289
WVFGRD96    6.0   110    65    20   3.64 0.2607
WVFGRD96    8.0   115    60    25   3.73 0.2806
WVFGRD96   10.0   110    65    25   3.77 0.2866
WVFGRD96   12.0    55    80   -20   3.84 0.2914
WVFGRD96   14.0    55    85   -20   3.87 0.3004
WVFGRD96   16.0    55    85   -20   3.90 0.3045
WVFGRD96   18.0   235    85    15   3.93 0.3111
WVFGRD96   20.0   235    80    10   3.95 0.3194
WVFGRD96   22.0   235    80    10   3.98 0.3337
WVFGRD96   24.0   235    75    10   4.00 0.3455
WVFGRD96   26.0   225    70     5   4.02 0.3604
WVFGRD96   28.0   220    65    -5   4.03 0.3746
WVFGRD96   30.0   220    65    -5   4.05 0.3815
WVFGRD96   32.0   220    65    -5   4.06 0.3847
WVFGRD96   34.0   220    65    -5   4.08 0.3881
WVFGRD96   36.0   220    65    -5   4.09 0.3979
WVFGRD96   38.0   220    80   -15   4.11 0.4095
WVFGRD96   40.0   220    80   -25   4.17 0.4257
WVFGRD96   42.0   220    80   -25   4.20 0.4370
WVFGRD96   44.0   220    80   -25   4.22 0.4481
WVFGRD96   46.0   220    80   -30   4.24 0.4600
WVFGRD96   48.0   220    85   -35   4.27 0.4748
WVFGRD96   50.0   220    85   -35   4.28 0.4890
WVFGRD96   52.0    40    90    35   4.30 0.5039
WVFGRD96   54.0   220    90   -35   4.31 0.5175
WVFGRD96   56.0    40    90    35   4.32 0.5305
WVFGRD96   58.0   220    90   -35   4.33 0.5418
WVFGRD96   60.0    40    90    35   4.34 0.5516
WVFGRD96   62.0    40    90    35   4.35 0.5598
WVFGRD96   64.0   220    90   -35   4.36 0.5656
WVFGRD96   66.0    40    85    40   4.38 0.5757
WVFGRD96   68.0   220    90   -35   4.37 0.5734
WVFGRD96   70.0    40    85    40   4.39 0.5843
WVFGRD96   72.0    40    85    40   4.40 0.5859
WVFGRD96   74.0    40    85    40   4.40 0.5867
WVFGRD96   76.0    40    85    40   4.41 0.5861
WVFGRD96   78.0    40    85    40   4.41 0.5857
WVFGRD96   80.0    40    85    35   4.41 0.5826
WVFGRD96   82.0    40    85    35   4.41 0.5797
WVFGRD96   84.0    40    85    35   4.41 0.5774
WVFGRD96   86.0    40    85    35   4.42 0.5741
WVFGRD96   88.0    40    85    35   4.42 0.5691
WVFGRD96   90.0    40    85    35   4.42 0.5640
WVFGRD96   92.0    40    85    35   4.42 0.5602
WVFGRD96   94.0    40    85    35   4.42 0.5556
WVFGRD96   96.0   220    90   -30   4.41 0.5461
WVFGRD96   98.0   220    90   -30   4.41 0.5431

The best solution is

WVFGRD96   74.0    40    85    40   4.40 0.5867

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 Fri Apr 26 03:29:43 AM CDT 2024