Location

Location ANSS

The ANSS event ID is ak018fe58uyv and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak018fe58uyv/executive.

2018/12/01 07:07:38 61.466 -149.968 32.7 4.3 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2018/12/01 07:07:38:0  61.47 -149.97  32.7 4.3 Alaska
 
 Stations used:
   AK.BERG AK.BPAW AK.BRLK AK.CAST AK.CNP AK.CUT AK.DHY AK.DIV 
   AK.EYAK AK.FID AK.GHO AK.GLI AK.HDA AK.HOM AK.KLU AK.KNK 
   AK.KTH AK.PPLA AK.PWL AK.RC01 AK.SAW AK.SCM AK.SKN AK.SLK 
   AK.SSN AK.SWD AK.TRF AK.VRDI AK.WRH AT.SVW2 AV.ILSW AV.STLK 
   TA.L18K TA.M19K TA.M20K TA.M22K TA.M24K TA.N18K TA.N19K 
   TA.O18K TA.O19K TA.O22K TA.P18K TA.P19K 
 
 Filtering commands used:
   cut o DIST/3.3 -30 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 = 2.37e+23 dyne-cm
  Mw = 4.85 
  Z  = 52 km
  Plane   Strike  Dip  Rake
   NP1      205    80   -60
   NP2      312    31   -161
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   2.37e+23     29     271
    N   0.00e+00     29      19
    P  -2.37e+23     47     146

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -7.69e+22
       Mxy     4.82e+22
       Mxz     1.00e+23
       Myy     1.47e+23
       Myz    -1.66e+23
       Mzz    -7.02e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 -------------------###              
              ---############-----########           
             ##############################          
           #####################----#########        
          ####################--------########       
         ####################-----------#######      
        ####################-------------#######     
        ###################---------------######     
       #####   ###########-----------------######    
       ##### T ###########------------------#####    
       #####   ##########--------------------####    
       #################---------------------####    
        ###############----------------------###     
        ##############----------   ----------###     
         #############---------- P ----------##      
          ###########-----------   ----------#       
           ##########-----------------------#        
             #######-----------------------          
              ######----------------------           
                 ##--------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -7.02e+22   1.00e+23   1.66e+23 
  1.00e+23  -7.69e+22  -4.82e+22 
  1.66e+23  -4.82e+22   1.47e+23 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181201070738/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 = 205
      DIP = 80
     RAKE = -60
       MW = 4.85
       HS = 52.0

The NDK file is 20181201070738.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 -30 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    1.0     0    45    75   3.93 0.1832
WVFGRD96    2.0     5    45    80   4.09 0.2508
WVFGRD96    3.0    20    40   105   4.15 0.2369
WVFGRD96    4.0   135    70   -40   4.12 0.2429
WVFGRD96    5.0   135    65   -35   4.15 0.2608
WVFGRD96    6.0   140    70   -30   4.17 0.2753
WVFGRD96    7.0   140    70   -30   4.20 0.2882
WVFGRD96    8.0   135    65   -35   4.26 0.2978
WVFGRD96    9.0   135    65   -35   4.28 0.3082
WVFGRD96   10.0   140    70   -35   4.30 0.3178
WVFGRD96   11.0   140    70   -35   4.32 0.3248
WVFGRD96   12.0   140    70   -35   4.33 0.3304
WVFGRD96   13.0   140    70   -35   4.35 0.3354
WVFGRD96   14.0   140    70   -35   4.36 0.3388
WVFGRD96   15.0   140    70   -35   4.38 0.3411
WVFGRD96   16.0   140    70   -35   4.39 0.3426
WVFGRD96   17.0   340    75    45   4.39 0.3503
WVFGRD96   18.0   340    75    45   4.40 0.3550
WVFGRD96   19.0   345    70    50   4.42 0.3589
WVFGRD96   20.0   345    70    50   4.43 0.3624
WVFGRD96   21.0   350    70    55   4.44 0.3650
WVFGRD96   22.0   350    70    55   4.45 0.3670
WVFGRD96   23.0   350    70    60   4.47 0.3664
WVFGRD96   24.0   365    75    60   4.47 0.3676
WVFGRD96   25.0     5    75    60   4.48 0.3689
WVFGRD96   26.0    10    75    65   4.50 0.3707
WVFGRD96   27.0    10    75    65   4.51 0.3720
WVFGRD96   28.0    25    90    65   4.53 0.3760
WVFGRD96   29.0    25    90    65   4.54 0.3954
WVFGRD96   30.0    25    90    65   4.56 0.4145
WVFGRD96   31.0    30    90    60   4.58 0.4349
WVFGRD96   32.0    30    90    60   4.59 0.4556
WVFGRD96   33.0   210    85   -60   4.60 0.4808
WVFGRD96   34.0   210    85   -60   4.61 0.5009
WVFGRD96   35.0   205    80   -65   4.62 0.5196
WVFGRD96   36.0   205    80   -65   4.63 0.5390
WVFGRD96   37.0   205    80   -60   4.64 0.5558
WVFGRD96   38.0   205    80   -60   4.65 0.5714
WVFGRD96   39.0   205    80   -60   4.65 0.5842
WVFGRD96   40.0   205    80   -65   4.78 0.5993
WVFGRD96   41.0   205    80   -65   4.78 0.6088
WVFGRD96   42.0   205    80   -65   4.79 0.6175
WVFGRD96   43.0   205    80   -65   4.80 0.6228
WVFGRD96   44.0   205    80   -65   4.81 0.6291
WVFGRD96   45.0   205    80   -65   4.81 0.6354
WVFGRD96   46.0   205    80   -65   4.82 0.6411
WVFGRD96   47.0   205    80   -65   4.83 0.6454
WVFGRD96   48.0   205    80   -65   4.83 0.6482
WVFGRD96   49.0   205    80   -65   4.84 0.6516
WVFGRD96   50.0   205    80   -60   4.84 0.6536
WVFGRD96   51.0   205    80   -60   4.85 0.6536
WVFGRD96   52.0   205    80   -60   4.85 0.6545
WVFGRD96   53.0   205    80   -60   4.86 0.6541
WVFGRD96   54.0   205    80   -60   4.86 0.6518
WVFGRD96   55.0   205    80   -60   4.86 0.6512
WVFGRD96   56.0   205    80   -65   4.87 0.6488
WVFGRD96   57.0   205    80   -65   4.87 0.6460
WVFGRD96   58.0   205    80   -65   4.87 0.6433
WVFGRD96   59.0   200    75   -65   4.88 0.6404

The best solution is

WVFGRD96   52.0   205    80   -60   4.85 0.6545

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 -30 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 Fri Apr 26 04:35:27 AM CDT 2024