Location

Location ANSS

2018/08/14 16:53:10 69.549 -144.764 13.2 4.4 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2018/08/14 16:53:10:0  69.55 -144.76  13.2 4.4 Alaska
 
 Stations used:
   AK.FYU TA.C26K TA.D24K TA.D25K TA.D27M TA.D28M TA.E23K 
   TA.E24K TA.E27K TA.E28M TA.E29M TA.F24K TA.F25K TA.F26K 
   TA.F28M TA.G23K TA.G24K TA.G27K TA.G29M TA.H24K TA.TOLK 
 
 Filtering commands used:
   cut o DIST/3.3 -20 o DIST/3.3 +40
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.07 n 3 
 
 Best Fitting Double Couple
  Mo = 5.96e+22 dyne-cm
  Mw = 4.45 
  Z  = 9 km
  Plane   Strike  Dip  Rake
   NP1       98    71   137
   NP2      205    50    25
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.96e+22     43      54
    N   0.00e+00     44     259
    P  -5.96e+22     13     156

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -3.61e+22
       Mxy     3.61e+22
       Mxz     2.96e+22
       Myy     1.13e+22
       Myz     1.86e+22
       Mzz     2.48e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ---------------#######              
              --------------##############           
             -------------#################          
           -------------#####################        
          -------------#######################       
         ------------###############   ########      
        ------------################ T #########     
        -----------#################   #########     
       #----------###############################    
       ###--------###############################    
       #######---################################    
       ##########-###############################    
        ########----------##################----     
        ########--------------------------------     
         #######-------------------------------      
          ######------------------------------       
           #####-----------------------------        
             ####--------------------------          
              ####----------------   -----           
                 #---------------- P --              
                     -------------                   
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  2.48e+22   2.96e+22  -1.86e+22 
  2.96e+22  -3.61e+22  -3.61e+22 
 -1.86e+22  -3.61e+22   1.13e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20180814165310/index.html
        

Preferred Solution

The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion and first motion observations is

      STK = 205
      DIP = 50
     RAKE = 25
       MW = 4.45
       HS = 9.0

The NDK file is 20180814165310.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
USGSMWR
 USGS/SLU Moment Tensor Solution
 ENS  2018/08/14 16:53:10:0  69.55 -144.76  13.2 4.4 Alaska
 
 Stations used:
   AK.FYU TA.C26K TA.D24K TA.D25K TA.D27M TA.D28M TA.E23K 
   TA.E24K TA.E27K TA.E28M TA.E29M TA.F24K TA.F25K TA.F26K 
   TA.F28M TA.G23K TA.G24K TA.G27K TA.G29M TA.H24K TA.TOLK 
 
 Filtering commands used:
   cut o DIST/3.3 -20 o DIST/3.3 +40
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.07 n 3 
 
 Best Fitting Double Couple
  Mo = 5.96e+22 dyne-cm
  Mw = 4.45 
  Z  = 9 km
  Plane   Strike  Dip  Rake
   NP1       98    71   137
   NP2      205    50    25
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.96e+22     43      54
    N   0.00e+00     44     259
    P  -5.96e+22     13     156

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -3.61e+22
       Mxy     3.61e+22
       Mxz     2.96e+22
       Myy     1.13e+22
       Myz     1.86e+22
       Mzz     2.48e+22
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ---------------#######              
              --------------##############           
             -------------#################          
           -------------#####################        
          -------------#######################       
         ------------###############   ########      
        ------------################ T #########     
        -----------#################   #########     
       #----------###############################    
       ###--------###############################    
       #######---################################    
       ##########-###############################    
        ########----------##################----     
        ########--------------------------------     
         #######-------------------------------      
          ######------------------------------       
           #####-----------------------------        
             ####--------------------------          
              ####----------------   -----           
                 #---------------- P --              
                     -------------                   
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  2.48e+22   2.96e+22  -1.86e+22 
  2.96e+22  -3.61e+22  -3.61e+22 
 -1.86e+22  -3.61e+22   1.13e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20180814165310/index.html
	
Regional Moment Tensor (Mwr)
Moment	4.223e+15 N-m
Magnitude	4.4 Mwr
Depth	4.0 km
Percent DC	63 %
Half Duration	–
Catalog	US
Data Source	US2
Contributor	US2
Nodal Planes
Plane	Strike	Dip	Rake
NP1	292	73	-173
NP2	200	83	-17
Principal Axes
Axis	Value	Plunge	Azimuth
T	4.581e+15 N-m	7	247
N	-0.843e+15 N-m	72	359
P	-3.738e+15 N-m	17	155

        

Magnitudes

mLg Magnitude


(a) mLg computed using the IASPEI formula; (b) mLg residuals ; the values used for the trimmed mean are indicated.

ML Magnitude


(a) ML computed using the IASPEI formula for Horizontal components; (b) 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.


(a) ML computed using the IASPEI formula for Vertical components (research); (b) 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.

Context

The next figure presents the focal mechanism for this earthquake (red) in the context of other events (blue) in the SLU Moment Tensor Catalog which are within ± 0.5 degrees of the new event. This comparison is shown in the left panel of the figure. 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).

Waveform Inversion using wvfgrd96

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the and stations used for 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 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 -20 o DIST/3.3 +40
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.07 n 3 
The results of this grid search from 0.5 to 19 km depth are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0    25    90   -15   4.14 0.4153
WVFGRD96    2.0    20    85   -10   4.22 0.4753
WVFGRD96    3.0   195    55   -20   4.32 0.5213
WVFGRD96    4.0   200    50     0   4.35 0.5547
WVFGRD96    5.0   205    45    15   4.37 0.5815
WVFGRD96    6.0   205    50    15   4.38 0.6022
WVFGRD96    7.0   205    50    20   4.39 0.6149
WVFGRD96    8.0   210    45    30   4.45 0.6265
WVFGRD96    9.0   205    50    25   4.45 0.6270
WVFGRD96   10.0   205    50    25   4.45 0.6222
WVFGRD96   11.0   205    50    25   4.46 0.6133
WVFGRD96   12.0   205    50    25   4.46 0.6012
WVFGRD96   13.0   200    55    15   4.46 0.5902
WVFGRD96   14.0   200    55    15   4.47 0.5780
WVFGRD96   15.0   205    60    30   4.48 0.5654
WVFGRD96   16.0   205    60    25   4.49 0.5594
WVFGRD96   17.0   200    60    20   4.49 0.5549
WVFGRD96   18.0   200    60    20   4.50 0.5502
WVFGRD96   19.0   200    60    20   4.51 0.5454
WVFGRD96   20.0   200    60    20   4.52 0.5399
WVFGRD96   21.0   200    60    20   4.53 0.5350
WVFGRD96   22.0   200    60    20   4.54 0.5301
WVFGRD96   23.0   200    60    20   4.54 0.5246
WVFGRD96   24.0   200    60    20   4.55 0.5186
WVFGRD96   25.0   200    60    20   4.56 0.5111
WVFGRD96   26.0   200    60    20   4.57 0.5039
WVFGRD96   27.0   200    65    20   4.58 0.4960
WVFGRD96   28.0   200    65    15   4.59 0.4875
WVFGRD96   29.0   285    65   -20   4.61 0.4878

The best solution is

WVFGRD96    9.0   205    50    25   4.45 0.6270

The mechanism correspond 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 and because the velocity model used in the predictions may not be perfect. 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 -20 o DIST/3.3 +40
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.
Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to thewavefroms. 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.

Discussion

Acknowledgements

Thanks also to the many seismic network operators whose dedication make this effort possible: University of Nevada Reno, University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint Louis University, University of Memphis, Lamont Doherty Earth Observatory, the Iris stations and the Transportable Array of EarthScope.

Velocity Model

The WUS.model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:

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    

Quality Control

Here we tabulate the reasons for not using certain digital data sets

The following stations did not have a valid response files:

Last Changed Fri Nov 30 19:26:38 CST 2018