Location

Location ANSS

The ANSS event ID is nc75409452 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/nc75409452/executive.

2026/08/01 07:57:45 38.777 -122.938 6.1 3.8 California

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2026/08/01 07:57:45.0  38.78 -122.94   6.1 3.8 California
 
 Stations used:
   BK.ADAM BK.ATP BK.AUSC BK.BARR BK.BEVN BK.BKS BK.BL67 
   BK.BLAS BK.BONV BK.BRIB BK.BRIC BK.BRK BK.BUCI BK.DCMP 
   BK.DLIK BK.ETSL BK.GALB BK.GASB BK.GHOP BK.HALS BK.HAYF 
   BK.HOPS BK.HRCH BK.HULL BK.HUNT BK.JASP BK.JEWT BK.MCCM 
   BK.MLKN BK.MNDO BK.MNRC BK.ORRS BK.PESC BK.PETL BK.PETY 
   BK.PINL BK.PWOD BK.QRDG BK.ROMB BK.RVIT BK.SHWD BK.SKGS 
   BK.SNCR BK.SPAN BK.SPRL BK.UMUN BK.USAL BK.VAK BK.WTWN 
   NC.CSUM NC.GRT NC.GSR NC.GSX NC.GTK NC.GWKB NC.JCD NC.JLO 
   NC.KHBB NC.KNR NC.KZE NC.NAPC NC.NBPB NC.NBW NC.NCO NC.NEA 
   NC.NGVB NC.NMTB NC.NTR 
 
 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 = 6.76e+21 dyne-cm
  Mw = 3.82 
  Z  = 9 km
  Plane   Strike  Dip  Rake
   NP1       70    85    20
   NP2      338    70   175
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.76e+21     18     296
    N   0.00e+00     69      83
    P  -6.76e+21     10     202

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -4.42e+21
       Mxy    -4.72e+21
       Mxz     1.95e+21
       Myy     4.02e+21
       Myz    -1.30e+21
       Mzz     4.02e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ######----------------              
              ##########------------------           
             #############-----------------          
           ################------------------        
          #   ###############-----------------       
         ## T ################-----------------      
        ###   #################---------------##     
        ########################-----------#####     
       #########################-------##########    
       ##########################-###############    
       ######################-----###############    
       #################----------###############    
        ##########-----------------#############     
        ###------------------------#############     
         ---------------------------###########      
          --------------------------##########       
           -------------------------#########        
             -----------------------#######          
              -----   --------------######           
                 -- P --------------###              
                      -------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  4.02e+20   1.95e+21   1.30e+21 
  1.95e+21  -4.42e+21   4.72e+21 
  1.30e+21   4.72e+21   4.02e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20260801075745/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 = 70
      DIP = 85
     RAKE = 20
       MW = 3.82
       HS = 9.0

The NDK file is 20260801075745.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to those provided by others. The purpose is to look for major differences and also to note slight differences that might be inherent to the processing procedure. For completeness the USGS/SLU solution is repeated from above.
SLU
UCB
 USGS/SLU Moment Tensor Solution
 ENS  2026/08/01 07:57:45.0  38.78 -122.94   6.1 3.8 California
 
 Stations used:
   BK.ADAM BK.ATP BK.AUSC BK.BARR BK.BEVN BK.BKS BK.BL67 
   BK.BLAS BK.BONV BK.BRIB BK.BRIC BK.BRK BK.BUCI BK.DCMP 
   BK.DLIK BK.ETSL BK.GALB BK.GASB BK.GHOP BK.HALS BK.HAYF 
   BK.HOPS BK.HRCH BK.HULL BK.HUNT BK.JASP BK.JEWT BK.MCCM 
   BK.MLKN BK.MNDO BK.MNRC BK.ORRS BK.PESC BK.PETL BK.PETY 
   BK.PINL BK.PWOD BK.QRDG BK.ROMB BK.RVIT BK.SHWD BK.SKGS 
   BK.SNCR BK.SPAN BK.SPRL BK.UMUN BK.USAL BK.VAK BK.WTWN 
   NC.CSUM NC.GRT NC.GSR NC.GSX NC.GTK NC.GWKB NC.JCD NC.JLO 
   NC.KHBB NC.KNR NC.KZE NC.NAPC NC.NBPB NC.NBW NC.NCO NC.NEA 
   NC.NGVB NC.NMTB NC.NTR 
 
 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 = 6.76e+21 dyne-cm
  Mw = 3.82 
  Z  = 9 km
  Plane   Strike  Dip  Rake
   NP1       70    85    20
   NP2      338    70   175
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.76e+21     18     296
    N   0.00e+00     69      83
    P  -6.76e+21     10     202

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -4.42e+21
       Mxy    -4.72e+21
       Mxz     1.95e+21
       Myy     4.02e+21
       Myz    -1.30e+21
       Mzz     4.02e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ######----------------              
              ##########------------------           
             #############-----------------          
           ################------------------        
          #   ###############-----------------       
         ## T ################-----------------      
        ###   #################---------------##     
        ########################-----------#####     
       #########################-------##########    
       ##########################-###############    
       ######################-----###############    
       #################----------###############    
        ##########-----------------#############     
        ###------------------------#############     
         ---------------------------###########      
          --------------------------##########       
           -------------------------#########        
             -----------------------#######          
              -----   --------------######           
                 -- P --------------###              
                      -------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  4.02e+20   1.95e+21   1.30e+21 
  1.95e+21  -4.42e+21   4.72e+21 
  1.30e+21   4.72e+21   4.02e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20260801075745/index.html
	
Moment Tensor (Mw)
Moment 6.099e+14 N-m
Magnitude 3.79 Mw
Depth 5.0 km
Percent DC 93%
Half Duration -
Catalog NC
Data Source NC
Contributor NC
Nodal Planes
Plane	Strike	Dip	Rake
NP1	338	53	-156
NP2	233	71	-39
Principal Axes
Axis	Value	Plunge	Azimuth
T	6.200e+14	11	289
N	-0.206e+14	47	31
P	-5.994e+14	41	189

        

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.


Map showing station locations used for computing the ML's. No distinction is made whether the vertical (Z) or horizontal (H) components were used.

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    70    90     5   3.35 0.3354
WVFGRD96    2.0   250    90    -5   3.51 0.4716
WVFGRD96    3.0    70    90    30   3.61 0.5353
WVFGRD96    4.0   250    90   -25   3.64 0.5879
WVFGRD96    5.0    70    90    25   3.68 0.6257
WVFGRD96    6.0    70    85    20   3.72 0.6537
WVFGRD96    7.0    70    85    15   3.75 0.6735
WVFGRD96    8.0    70    85    20   3.79 0.6890
WVFGRD96    9.0    70    85    20   3.82 0.6899
WVFGRD96   10.0    70    80    15   3.84 0.6863
WVFGRD96   11.0    70    80    15   3.85 0.6786
WVFGRD96   12.0    70    80    15   3.87 0.6683
WVFGRD96   13.0    70    80    15   3.88 0.6558
WVFGRD96   14.0    70    80    15   3.90 0.6419
WVFGRD96   15.0    70    80    15   3.91 0.6276
WVFGRD96   16.0    70    80    10   3.92 0.6134
WVFGRD96   17.0    70    85    10   3.93 0.5995
WVFGRD96   18.0    70    85    10   3.94 0.5857
WVFGRD96   19.0    65    90    10   3.94 0.5723
WVFGRD96   20.0    65    90    10   3.95 0.5589
WVFGRD96   21.0    65    90    10   3.95 0.5451
WVFGRD96   22.0    65    90    10   3.96 0.5313
WVFGRD96   23.0    65    90    10   3.96 0.5175
WVFGRD96   24.0    65    90    10   3.96 0.5037
WVFGRD96   25.0   245    85   -10   3.97 0.4913
WVFGRD96   26.0    65    90    10   3.97 0.4776
WVFGRD96   27.0    65    90    10   3.97 0.4652
WVFGRD96   28.0    65    90    10   3.97 0.4540
WVFGRD96   29.0   340    80    20   3.99 0.4436

The best solution is

WVFGRD96    9.0    70    85    20   3.82 0.6899

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 Sat Aug 1 07:15:43 CDT 2026