Location

Location ANSS

2021/08/13 18:52:04 31.677 -104.418 7.2 3.4 Texas

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2021/08/13 18:52:04:0  31.68 -104.42   7.2 3.4 Texas
 
 Stations used:
   GM.NMP02 GM.NMP25 GM.NMP41 GM.NMP44 GM.NMP45 TX.ALPN 
   TX.ODSA TX.PB05 TX.PB07 TX.PB11 TX.PECS 
 
 Filtering commands used:
   cut o DIST/3.3 -30 o DIST/3.3 +40
   rtr
   taper w 0.1
   hp c 0.04 n 3 
   lp c 0.12 n 3 
 
 Best Fitting Double Couple
  Mo = 6.46e+20 dyne-cm
  Mw = 3.14 
  Z  = 6 km
  Plane   Strike  Dip  Rake
   NP1      289    46   -80
   NP2       95    45   -100
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.46e+20      0      12
    N   0.00e+00      7     102
    P  -6.46e+20     83     279

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     6.17e+20
       Mxy     1.33e+20
       Mxz    -6.91e+18
       Myy     1.86e+19
       Myz     7.90e+19
       Mzz    -6.36e+20
                                                     
                                                     
                                                     
                                                     
                     ########## T #                  
                 ##############   #####              
              ############################           
             ##############################          
           ##################################        
          ####------------------##############       
         #--------------------------###########      
        -------------------------------#########     
        ---------------------------------#######     
       ----------------   -----------------######    
       #--------------- P -------------------####    
       ##--------------   --------------------###    
       ###-------------------------------------#-    
        ####------------------------------------     
        ######------------------------------####     
         ########-------------------------#####      
          ############---------------#########       
           ##################################        
             ##############################          
              ############################           
                 ######################              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -6.36e+20  -6.91e+18  -7.90e+19 
 -6.91e+18   6.17e+20  -1.33e+20 
 -7.90e+19  -1.33e+20   1.86e+19 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20210813185204/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 = 95
      DIP = 45
     RAKE = -100
       MW = 3.14
       HS = 6.0

The NDK file is 20210813185204.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
 USGS/SLU Moment Tensor Solution
 ENS  2021/08/13 18:52:04:0  31.68 -104.42   7.2 3.4 Texas
 
 Stations used:
   GM.NMP02 GM.NMP25 GM.NMP41 GM.NMP44 GM.NMP45 TX.ALPN 
   TX.ODSA TX.PB05 TX.PB07 TX.PB11 TX.PECS 
 
 Filtering commands used:
   cut o DIST/3.3 -30 o DIST/3.3 +40
   rtr
   taper w 0.1
   hp c 0.04 n 3 
   lp c 0.12 n 3 
 
 Best Fitting Double Couple
  Mo = 6.46e+20 dyne-cm
  Mw = 3.14 
  Z  = 6 km
  Plane   Strike  Dip  Rake
   NP1      289    46   -80
   NP2       95    45   -100
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.46e+20      0      12
    N   0.00e+00      7     102
    P  -6.46e+20     83     279

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     6.17e+20
       Mxy     1.33e+20
       Mxz    -6.91e+18
       Myy     1.86e+19
       Myz     7.90e+19
       Mzz    -6.36e+20
                                                     
                                                     
                                                     
                                                     
                     ########## T #                  
                 ##############   #####              
              ############################           
             ##############################          
           ##################################        
          ####------------------##############       
         #--------------------------###########      
        -------------------------------#########     
        ---------------------------------#######     
       ----------------   -----------------######    
       #--------------- P -------------------####    
       ##--------------   --------------------###    
       ###-------------------------------------#-    
        ####------------------------------------     
        ######------------------------------####     
         ########-------------------------#####      
          ############---------------#########       
           ##################################        
             ##############################          
              ############################           
                 ######################              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -6.36e+20  -6.91e+18  -7.90e+19 
 -6.91e+18   6.17e+20  -1.33e+20 
 -7.90e+19  -1.33e+20   1.86e+19 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20210813185204/index.html
	

Magnitudes

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 -30 o DIST/3.3 +40
rtr
taper w 0.1
hp c 0.04 n 3 
lp c 0.12 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     0    70   -25   2.82 0.2161
WVFGRD96    2.0    10    80   -35   2.94 0.2361
WVFGRD96    3.0   235    25    -5   3.03 0.3212
WVFGRD96    4.0   215    30   -40   3.05 0.3672
WVFGRD96    5.0   285    50   -85   3.12 0.4035
WVFGRD96    6.0    95    45  -100   3.14 0.4204
WVFGRD96    7.0    95    45  -100   3.16 0.4159
WVFGRD96    8.0   280    50   -95   3.24 0.4093
WVFGRD96    9.0   100    40   -90   3.24 0.3870
WVFGRD96   10.0   100    40   -90   3.25 0.3588
WVFGRD96   11.0   150    55    45   3.21 0.3351
WVFGRD96   12.0   150    55    40   3.22 0.3113
WVFGRD96   13.0   150    55    40   3.22 0.2885
WVFGRD96   14.0   150    55    35   3.23 0.2671
WVFGRD96   15.0   150    60    30   3.23 0.2476
WVFGRD96   16.0   150    55    30   3.24 0.2308
WVFGRD96   17.0   150    50    30   3.25 0.2156
WVFGRD96   18.0   160    40   -10   3.35 0.2028
WVFGRD96   19.0   160    40    -5   3.36 0.1959
WVFGRD96   20.0   160    40    -5   3.36 0.1920
WVFGRD96   21.0   145    35    30   3.31 0.1899
WVFGRD96   22.0   225    55   -25   3.29 0.2004
WVFGRD96   23.0   225    60   -25   3.31 0.2121
WVFGRD96   24.0   225    60   -25   3.32 0.2231
WVFGRD96   25.0   230    60   -20   3.34 0.2359
WVFGRD96   26.0   230    60   -20   3.35 0.2494
WVFGRD96   27.0   230    60   -20   3.36 0.2610
WVFGRD96   28.0   230    60   -20   3.37 0.2708
WVFGRD96   29.0   230    60   -25   3.38 0.2799

The best solution is

WVFGRD96    6.0    95    45  -100   3.14 0.4204

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 -30 o DIST/3.3 +40
rtr
taper w 0.1
hp c 0.04 n 3 
lp c 0.12 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 Bureau of Mines, UC Berkely, Caltech, UC San Diego, Saint Louis University, University of Memphis, Lamont Doherty Earth Observatory, the Oklahoma Geological Survey, TexNet, the Iris stations, the Transportable Array of EarthScope and other networks.

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 Aug 13 17:34:44 CDT 2021