Location

Location ANSS

The ANSS event ID is usp000jweu and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/usp000jweu/executive.

2012/12/04 15:15:26 37.033 -104.938 5.0 3.5 Colorado

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2012/12/04 15:15:26:0  37.03 -104.94   5.0 3.5 Colorado
 
 Stations used:
   IU.ANMO IW.SMCO TA.KSCO TA.O20A TA.S22A TA.T25A US.CBKS 
   US.MVCO US.SDCO UU.BRPU 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.06 n 3
 
 Best Fitting Double Couple
  Mo = 2.16e+21 dyne-cm
  Mw = 3.49 
  Z  = 1 km
  Plane   Strike  Dip  Rake
   NP1      337    50   -113
   NP2      190    45   -65
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   2.16e+21      3      83
    N   0.00e+00     17     352
    P  -2.16e+21     72     181

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -1.62e+20
       Mxy     2.72e+20
       Mxz     6.36e+20
       Myy     2.12e+21
       Myz     1.12e+20
       Mzz    -1.96e+21
                                                     
                                                     
                                                     
                                                     
                     --------######                  
                 ########-#############              
              ##########----##############           
             #########--------#############          
           ##########-----------#############        
          ##########--------------############       
         ##########----------------############      
        ##########------------------############     
        ##########-------------------##########      
       ##########---------------------######### T    
       ##########---------------------#########      
       ##########----------------------##########    
       ##########---------   ----------##########    
        #########--------- P ----------#########     
        #########---------   -----------########     
         ########-----------------------#######      
          ########----------------------######       
           #######---------------------######        
             ######--------------------####          
              ######------------------####           
                 ####----------------##              
                     ##------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -1.96e+21   6.36e+20  -1.12e+20 
  6.36e+20  -1.62e+20  -2.72e+20 
 -1.12e+20  -2.72e+20   2.12e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20121204151526/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 = 190
      DIP = 45
     RAKE = -65
       MW = 3.49
       HS = 1.0

The NDK file is 20121204151526.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:

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    0.5   195    50   -60   3.47 0.5891
WVFGRD96    1.0   190    45   -65   3.49 0.6004
WVFGRD96    2.0     0    55   -80   3.56 0.5893
WVFGRD96    3.0   175    25   -85   3.62 0.5547
WVFGRD96    4.0   180    25   -80   3.62 0.5346
WVFGRD96    5.0   185    25   -70   3.61 0.5104
WVFGRD96    6.0   190    25   -60   3.60 0.4881
WVFGRD96    7.0   205    30   -35   3.58 0.4766
WVFGRD96    8.0   210    35   -20   3.58 0.4701
WVFGRD96    9.0   220    40     0   3.57 0.4632
WVFGRD96   10.0   215    35   -10   3.59 0.4611
WVFGRD96   11.0   215    35   -10   3.59 0.4532
WVFGRD96   12.0   220    40     0   3.59 0.4438
WVFGRD96   13.0   220    40     0   3.59 0.4352
WVFGRD96   14.0   220    45    10   3.60 0.4258
WVFGRD96   15.0   220    45    10   3.61 0.4165
WVFGRD96   16.0   220    45    10   3.61 0.4061
WVFGRD96   17.0   120    25    80   3.60 0.4075
WVFGRD96   18.0   125    25    85   3.61 0.4136
WVFGRD96   19.0   120    30    80   3.62 0.4200
WVFGRD96   20.0   125    25    85   3.64 0.4202
WVFGRD96   21.0   125    30    85   3.65 0.4246
WVFGRD96   22.0   125    30    85   3.66 0.4295
WVFGRD96   23.0   310    60    90   3.67 0.4325
WVFGRD96   24.0   135    30    95   3.68 0.4336
WVFGRD96   25.0   335    60    75   3.65 0.4352
WVFGRD96   26.0   335    60    75   3.65 0.4371
WVFGRD96   27.0   335    60    75   3.66 0.4363
WVFGRD96   28.0   310    55    85   3.70 0.4339
WVFGRD96   29.0   340    55    80   3.67 0.4337

The best solution is

WVFGRD96    1.0   190    45   -65   3.49 0.6004

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

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 Sat Apr 27 12:45:01 AM CDT 2024