Location

Location ANSS

The ANSS event ID is ci37528064 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ci37528064/executive.

2016/02/24 00:02:23 35.542 -119.373 22.1 4.87 California

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2016/02/24 00:02:23:0  35.54 -119.37  22.1 4.9 California
 
 Stations used:
   CI.BCW CI.CCA CI.ELS2 CI.GSC CI.ISA CI.PASC CI.RAG CI.SMR 
   II.PFO LB.TPH NC.PAGB NN.GWY NN.LCH NN.PAH NN.PRN NN.QSM 
   NN.S11A NN.YER TA.R11A US.TPNV 
 
 Filtering commands used:
   cut o DIST/3.3 -30 o DIST/3.3 +70
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.06 n 3 
 
 Best Fitting Double Couple
  Mo = 1.74e+23 dyne-cm
  Mw = 4.76 
  Z  = 22 km
  Plane   Strike  Dip  Rake
   NP1      129    85   170
   NP2      220    80     5
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.74e+23     11      84
    N   0.00e+00     79     283
    P  -1.74e+23      4     175

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.70e+23
       Mxy     3.22e+22
       Mxz     1.39e+22
       Myy     1.65e+23
       Myz     3.02e+22
       Mzz     5.18e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ---------------------------#           
             -------------------------#####          
           ##-----------------------#########        
          #####-------------------############       
         ########---------------###############      
        ###########-----------##################     
        #############--------################        
       ################----################## T #    
       ######################################   #    
       #################---######################    
       ################------####################    
        #############-----------################     
        ############--------------##############     
         ##########------------------##########      
          #######----------------------#######       
           #####--------------------------###        
             ###---------------------------          
              #---------------------------           
                 -----------   --------              
                     ------- P ----                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  5.18e+21   1.39e+22  -3.02e+22 
  1.39e+22  -1.70e+23  -3.22e+22 
 -3.02e+22  -3.22e+22   1.65e+23 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20160224000223/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 = 220
      DIP = 80
     RAKE = 5
       MW = 4.76
       HS = 22.0

The NDK file is 20160224000223.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
SCAL
 USGS/SLU Moment Tensor Solution
 ENS  2016/02/24 00:02:23:0  35.54 -119.37  22.1 4.9 California
 
 Stations used:
   CI.BCW CI.CCA CI.ELS2 CI.GSC CI.ISA CI.PASC CI.RAG CI.SMR 
   II.PFO LB.TPH NC.PAGB NN.GWY NN.LCH NN.PAH NN.PRN NN.QSM 
   NN.S11A NN.YER TA.R11A US.TPNV 
 
 Filtering commands used:
   cut o DIST/3.3 -30 o DIST/3.3 +70
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.06 n 3 
 
 Best Fitting Double Couple
  Mo = 1.74e+23 dyne-cm
  Mw = 4.76 
  Z  = 22 km
  Plane   Strike  Dip  Rake
   NP1      129    85   170
   NP2      220    80     5
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.74e+23     11      84
    N   0.00e+00     79     283
    P  -1.74e+23      4     175

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.70e+23
       Mxy     3.22e+22
       Mxz     1.39e+22
       Myy     1.65e+23
       Myz     3.02e+22
       Mzz     5.18e+21
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ----------------------              
              ---------------------------#           
             -------------------------#####          
           ##-----------------------#########        
          #####-------------------############       
         ########---------------###############      
        ###########-----------##################     
        #############--------################        
       ################----################## T #    
       ######################################   #    
       #################---######################    
       ################------####################    
        #############-----------################     
        ############--------------##############     
         ##########------------------##########      
          #######----------------------#######       
           #####--------------------------###        
             ###---------------------------          
              #---------------------------           
                 -----------   --------              
                     ------- P ----                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  5.18e+21   1.39e+22  -3.02e+22 
  1.39e+22  -1.70e+23  -3.22e+22 
 -3.02e+22  -3.22e+22   1.65e+23 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20160224000223/index.html
	
TMTS
Moment	2.790e+16 N-m
Magnitude	4.90
Depth	18.0 km
Percent DC	90%
Half Duration	–
Catalog	CI (ci37528064)
Data Source	CI2
Contributor	CI2
Nodal Planes
Plane	Strike	Dip	Rake
NP1	221	83	-1
NP2	311	89	-173
Principal Axes
Axis	Value	Plunge	Azimuth
T	2.859	4	86
N	-0.143	83	322
P	-2.716	6	176

        

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 +70
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.06 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0   130    75   -10   4.25 0.1549
WVFGRD96    2.0    90    45   -65   4.46 0.2115
WVFGRD96    3.0    40    90    -5   4.40 0.2260
WVFGRD96    4.0   130    85   -15   4.45 0.2463
WVFGRD96    5.0   130    85   -15   4.49 0.2640
WVFGRD96    6.0    40    75     0   4.51 0.2822
WVFGRD96    7.0    40    90   -15   4.54 0.3065
WVFGRD96    8.0    40    90   -20   4.59 0.3398
WVFGRD96    9.0   220    90    20   4.61 0.3694
WVFGRD96   10.0   220    90    15   4.63 0.3976
WVFGRD96   11.0    40    90   -15   4.65 0.4225
WVFGRD96   12.0    40    90   -10   4.67 0.4457
WVFGRD96   13.0   220    90    10   4.68 0.4650
WVFGRD96   14.0    40    90   -10   4.69 0.4806
WVFGRD96   15.0   220    85     5   4.71 0.4963
WVFGRD96   16.0   220    85     5   4.71 0.5074
WVFGRD96   17.0   220    85     5   4.72 0.5161
WVFGRD96   18.0   220    85     5   4.73 0.5224
WVFGRD96   19.0   220    85     5   4.74 0.5273
WVFGRD96   20.0   220    85     5   4.75 0.5306
WVFGRD96   21.0   220    80     5   4.76 0.5334
WVFGRD96   22.0   220    80     5   4.76 0.5341
WVFGRD96   23.0   220    80     5   4.77 0.5338
WVFGRD96   24.0   220    80     5   4.78 0.5327
WVFGRD96   25.0   220    80     5   4.78 0.5308
WVFGRD96   26.0   220    80     5   4.79 0.5285
WVFGRD96   27.0   220    80     5   4.80 0.5260
WVFGRD96   28.0   220    80     5   4.80 0.5228
WVFGRD96   29.0   220    80     5   4.81 0.5193

The best solution is

WVFGRD96   22.0   220    80     5   4.76 0.5341

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 +70
rtr
taper w 0.1
hp c 0.02 n 3 
lp c 0.06 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 02:26:51 PM CDT 2024