Location

Location ANSS

The ANSS event ID is tx2023zosh and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/tx2023zosh/executive.

2023/12/30 19:32:33 31.616 -103.975 7.7 3.9 Texas

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2023/12/30 19:32:33:0  31.62 -103.97   7.7 3.9 Texas
 
 Stations used:
   4O.AT01 4O.BP01 4O.CV01 4O.DB03 4O.DB04 4O.GV02 4O.LWM1 
   4O.LWM2 4O.MBBB2 4O.MID01 4O.MID02 4O.MID03 4O.SA02 4O.SA04 
   4O.SA06 4O.SA07 4O.SA09 4O.SM02 4O.SM03 4O.WB02 4O.WB06 
   4O.WB07 4O.WB08 4O.WB09 4O.WB10 4O.WB11 4O.WB12 TX.ALPN 
   TX.MB02 TX.MB07 TX.MB09 TX.MB11 TX.MB17 TX.MB18 TX.MB23 
   TX.MB25 TX.MNHN TX.ODSA TX.PB01 TX.PB03 TX.PB04 TX.PB07 
   TX.PB09 TX.PB10 TX.PB11 TX.PB12 TX.PB13 TX.PB14 TX.PB16 
   TX.PB17 TX.PB18 TX.PB19 TX.PB21 TX.PB22 TX.PB26 TX.PB28 
   TX.PB29 TX.PB30 TX.PB31 TX.PB35 TX.PB36 TX.PB37 TX.PB39 
   TX.PB42 TX.PB43 TX.PB44 TX.PB47 TX.PB51 TX.PCOS TX.PECS 
   TX.POST TX.VHRN 
 
 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 = 1.55e+22 dyne-cm
  Mw = 4.06 
  Z  = 10 km
  Plane   Strike  Dip  Rake
   NP1       82    80   -129
   NP2      340    40   -15
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.55e+22     25     201
    N   0.00e+00     38      89
    P  -1.55e+22     41     315

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     6.64e+21
       Mxy     8.64e+21
       Mxz    -1.10e+22
       Myy    -2.70e+21
       Myz     3.27e+21
       Mzz    -3.95e+21
                                                     
                                                     
                                                     
                                                     
                     -#############                  
                 -----------###########              
              -----------------###########           
             --------------------##########          
           ------------------------##########        
          --------   ----------------#########       
         --------- P -----------------#########      
        ----------   ------------------#########     
        --------------------------------########     
       ---------------------------------########-    
       ----------------------------------##------    
       -----------------------------#####--------    
       -------------------###############--------    
        #################################-------     
        #################################-------     
         ################################------      
          ###############################-----       
           ##########   ################-----        
             ######## T ###############----          
              #######   ##############----           
                 ####################--              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -3.95e+21  -1.10e+22  -3.27e+21 
 -1.10e+22   6.64e+21  -8.64e+21 
 -3.27e+21  -8.64e+21  -2.70e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20231230193233/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 = 340
      DIP = 40
     RAKE = -15
       MW = 4.06
       HS = 10.0

The NDK file is 20231230193233.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.

mLg Magnitude


Left: mLg computed using the IASPEI formula. Center: mLg residuals versus epicentral distance ; the values used for the trimmed mean magnitude estimate are indicated. Right: residuals as a function of distance and azimuth.

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    1.0   345    80     5   3.57 0.2315
WVFGRD96    2.0   350    65    25   3.75 0.3069
WVFGRD96    3.0   330    35   -20   3.87 0.3493
WVFGRD96    4.0   335    35   -15   3.90 0.4290
WVFGRD96    5.0   330    35   -25   3.93 0.4863
WVFGRD96    6.0   335    40   -20   3.94 0.5248
WVFGRD96    7.0   335    40   -25   3.96 0.5486
WVFGRD96    8.0   335    40   -25   4.04 0.5677
WVFGRD96    9.0   335    40   -25   4.05 0.5771
WVFGRD96   10.0   340    40   -15   4.06 0.5796
WVFGRD96   11.0   340    45   -15   4.08 0.5764
WVFGRD96   12.0   345    45    -5   4.09 0.5690
WVFGRD96   13.0   345    45    -5   4.10 0.5590
WVFGRD96   14.0   345    45    -5   4.11 0.5458
WVFGRD96   15.0   345    50    -5   4.13 0.5308
WVFGRD96   16.0   345    50     0   4.13 0.5151
WVFGRD96   17.0   350    50     5   4.14 0.4982
WVFGRD96   18.0   350    50    10   4.15 0.4823
WVFGRD96   19.0   350    50    10   4.15 0.4664
WVFGRD96   20.0   350    50    10   4.16 0.4505
WVFGRD96   21.0   350    45    10   4.17 0.4351
WVFGRD96   22.0   350    45    10   4.17 0.4203
WVFGRD96   23.0   350    45    10   4.18 0.4062
WVFGRD96   24.0   350    45    10   4.18 0.3929
WVFGRD96   25.0   350    45    10   4.19 0.3804
WVFGRD96   26.0   350    45    10   4.20 0.3685
WVFGRD96   27.0   350    45    10   4.20 0.3576
WVFGRD96   28.0   350    45    10   4.21 0.3470
WVFGRD96   29.0   350    45    10   4.21 0.3369

The best solution is

WVFGRD96   10.0   340    40   -15   4.06 0.5796

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 Tue Apr 23 06:58:30 AM CDT 2024