Location

Location ANSS

The ANSS event ID is us70008kx6 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/us70008kx6/executive.

2020/04/01 21:03:19 44.502 -115.177 10.0 3.7 Idaho

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2020/04/01 21:03:19:0  44.50 -115.18  10.0 3.7 Idaho
 
 Stations used:
   IE.COMI IW.DLMT IW.LOHW IW.MFID IW.MOOW IW.PLID IW.SNOW 
   US.AHID US.BMO US.BOZ US.ELK US.HAWA US.HLID US.HWUT US.MSO 
   US.NEW US.WVOR UU.HVU UU.SPU UW.BRAN UW.CCRK UW.DAVN 
   UW.DDRF UW.IRON UW.LNO UW.PHIN UW.UMAT UW.WA2 UW.WOLL 
   UW.YPT WY.YNE WY.YNR 
 
 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 0.08 n 3 
 
 Best Fitting Double Couple
  Mo = 4.32e+21 dyne-cm
  Mw = 3.69 
  Z  = 11 km
  Plane   Strike  Dip  Rake
   NP1      150    80   -15
   NP2      243    75   -170
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   4.32e+21      3     197
    N   0.00e+00     72     297
    P  -4.32e+21     18     106

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     3.65e+21
       Mxy     2.22e+21
       Mxz     1.02e+20
       Myy    -3.27e+21
       Myz    -1.27e+21
       Mzz    -3.82e+20
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 -#####################              
              ----########################           
             ------########################          
           --------##########################        
          ----------##########################       
         ------------##################--------      
        --------------###########---------------     
        ---------------######-------------------     
       -----------------#------------------------    
       ---------------###------------------------    
       ------------#######-----------------------    
       ---------###########----------------   ---    
        ------##############--------------- P --     
        ----#################--------------   --     
         -####################-----------------      
          ######################--------------       
           ######################------------        
             #####################---------          
              ######################------           
                 ####   ##############-              
                      T ###########                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -3.82e+20   1.02e+20   1.27e+21 
  1.02e+20   3.65e+21  -2.22e+21 
  1.27e+21  -2.22e+21  -3.27e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20200401210319/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 = 150
      DIP = 80
     RAKE = -15
       MW = 3.69
       HS = 11.0

The NDK file is 20200401210319.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.

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 0.08 n 3 
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0   335    65    20   3.31 0.3374
WVFGRD96    2.0   335    65    20   3.43 0.4442
WVFGRD96    3.0   330    70    10   3.46 0.4913
WVFGRD96    4.0   150    80   -20   3.51 0.5297
WVFGRD96    5.0   150    75   -20   3.55 0.5626
WVFGRD96    6.0   150    75   -20   3.58 0.5915
WVFGRD96    7.0   150    80   -15   3.60 0.6152
WVFGRD96    8.0   150    75   -20   3.65 0.6362
WVFGRD96    9.0   150    75   -15   3.66 0.6483
WVFGRD96   10.0   150    75   -15   3.68 0.6544
WVFGRD96   11.0   150    80   -15   3.69 0.6552
WVFGRD96   12.0   150    80   -15   3.71 0.6530
WVFGRD96   13.0   150    80   -10   3.72 0.6476
WVFGRD96   14.0   150    80   -15   3.73 0.6399
WVFGRD96   15.0   150    80   -10   3.74 0.6309
WVFGRD96   16.0   150    80   -10   3.75 0.6206
WVFGRD96   17.0   150    80   -10   3.76 0.6083
WVFGRD96   18.0   150    80   -10   3.77 0.5951
WVFGRD96   19.0   150    80   -10   3.77 0.5815
WVFGRD96   20.0   150    85   -10   3.78 0.5675
WVFGRD96   21.0   150    80   -10   3.79 0.5532
WVFGRD96   22.0   330    85    15   3.79 0.5416
WVFGRD96   23.0   330    85    15   3.80 0.5294
WVFGRD96   24.0   330    80    15   3.80 0.5168
WVFGRD96   25.0   330    80    20   3.81 0.5049
WVFGRD96   26.0   330    80    20   3.82 0.4926
WVFGRD96   27.0   330    80    15   3.82 0.4799
WVFGRD96   28.0   330    80    20   3.82 0.4682
WVFGRD96   29.0   330    80    20   3.83 0.4564

The best solution is

WVFGRD96   11.0   150    80   -15   3.69 0.6552

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 0.08 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 Thu Apr 25 01:15:34 PM CDT 2024