Location

Location ANSS

The ANSS event ID is nn00236336 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/nn00236336/executive.

2008/02/28 15:10:39 41.153 -114.924 8.1 4 Nevada

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2008/02/28 15:10:39:0  41.15 -114.92   8.1 4.0 Nevada
 
 Stations used:
   TA.G13A TA.I11A TA.I13A TA.I14A TA.I15A TA.J12A TA.J13A 
   TA.J14A TA.J17A TA.J18A TA.K08A TA.K09A TA.K10A TA.K12A 
   TA.K13A TA.K14A TA.K15A TA.K16A TA.K17A TA.K18A TA.L07A 
   TA.L08A TA.L09A TA.L10A TA.L11A TA.L12A TA.L13A TA.L14A 
   TA.L15A TA.L16A TA.L17A TA.L18A TA.M07A TA.M08A TA.M09A 
   TA.M10A TA.M11A TA.M13A TA.M14A TA.M15A TA.M16A TA.M17A 
   TA.M18A TA.N06A TA.N07B TA.N08A TA.N09A TA.N11A TA.N12A 
   TA.N13A TA.N14A TA.N15A TA.N16A TA.N17A TA.O07A TA.O08A 
   TA.O09A TA.O11A TA.O12A TA.O13A TA.O15A TA.O17A TA.O18A 
   TA.P09A TA.P11A TA.P13A TA.P14A TA.P15A TA.P17A TA.Q08A 
   TA.Q09A TA.Q10A TA.Q11A TA.Q12A TA.Q13A TA.Q14A TA.Q15A 
   TA.R11A TA.R12A TA.R13A TA.R14A TA.S13A TA.T11A US.AHID 
   US.DUG US.ELK US.HLID US.WVOR UU.BGU UU.CTU UU.MPU UU.NLU 
   UU.SPU 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.10 n 3
 
 Best Fitting Double Couple
  Mo = 1.17e+22 dyne-cm
  Mw = 3.98 
  Z  = 10 km
  Plane   Strike  Dip  Rake
   NP1       22    61   -118
   NP2      250    40   -50
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.17e+22     11     132
    N   0.00e+00     24      37
    P  -1.17e+22     63     245

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     4.71e+21
       Mxy    -6.57e+21
       Mxz     5.10e+20
       Myy     4.16e+21
       Myz     5.97e+21
       Mzz    -8.86e+21
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ####################--              
              #######################-----           
             ########################------          
           ##############-------------##-----        
          ##########------------------######--       
         ########---------------------########-      
        #######----------------------###########     
        #####------------------------###########     
       #####-------------------------############    
       ####-------------------------#############    
       ###----------   -------------#############    
       ##----------- P ------------##############    
        #-----------   -----------##############     
        #------------------------###############     
         -----------------------###############      
          ---------------------#########   ###       
           -------------------########## T ##        
             ---------------############             
              ------------################           
                 ------################              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -8.86e+21   5.10e+20  -5.97e+21 
  5.10e+20   4.71e+21   6.57e+21 
 -5.97e+21   6.57e+21   4.16e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20080228151039/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 = 250
      DIP = 40
     RAKE = -50
       MW = 3.98
       HS = 10.0

The NDK file is 20080228151039.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:

hp c 0.02 n 3
lp c 0.10 n 3
The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    0.5    40    45   -90   3.59 0.2584
WVFGRD96    1.0   270    90    -5   3.50 0.2141
WVFGRD96    2.0    40    40   -90   3.74 0.2580
WVFGRD96    3.0   100    30    10   3.79 0.2917
WVFGRD96    4.0   265    25   -20   3.82 0.3514
WVFGRD96    5.0   260    30   -30   3.84 0.3997
WVFGRD96    6.0   260    35   -30   3.85 0.4353
WVFGRD96    7.0   255    35   -40   3.87 0.4597
WVFGRD96    8.0   250    35   -45   3.95 0.4791
WVFGRD96    9.0   250    35   -50   3.97 0.4899
WVFGRD96   10.0   250    40   -50   3.98 0.4926
WVFGRD96   11.0   250    40   -50   3.99 0.4868
WVFGRD96   12.0   255    40   -40   3.99 0.4761
WVFGRD96   13.0   260    45   -35   4.00 0.4623
WVFGRD96   14.0   260    45   -35   4.01 0.4458
WVFGRD96   15.0   260    45   -30   4.02 0.4273
WVFGRD96   16.0   260    45   -30   4.02 0.4073
WVFGRD96   17.0   265    45   -25   4.03 0.3862
WVFGRD96   18.0   265    45   -25   4.03 0.3649
WVFGRD96   19.0   265    45   -20   4.04 0.3438
WVFGRD96   20.0   265    45   -20   4.04 0.3228
WVFGRD96   21.0   265    45   -20   4.05 0.3030
WVFGRD96   22.0   265    45   -20   4.05 0.2830
WVFGRD96   23.0   265    45   -20   4.05 0.2643
WVFGRD96   24.0   265    50   -20   4.06 0.2471
WVFGRD96   25.0   265    50   -20   4.06 0.2316
WVFGRD96   26.0   190    75    50   4.06 0.2210
WVFGRD96   27.0   190    75    45   4.06 0.2153
WVFGRD96   28.0   190    75    45   4.07 0.2099
WVFGRD96   29.0   185    80    45   4.07 0.2051

The best solution is

WVFGRD96   10.0   250    40   -50   3.98 0.4926

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 0.10 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.

Surface-Wave Focal Mechanism

The following figure shows the stations used in the grid search for the best focal mechanism to fit the surface-wave spectral amplitudes of the Love and Rayleigh waves.
Location of broadband stations used to obtain focal mechanism from surface-wave spectral amplitudes

The surface-wave determined focal mechanism is shown here.


  NODAL PLANES 

  
  STK=      30.00
  DIP=      59.99
 RAKE=    -115.00
  
             OR
  
  STK=     253.00
  DIP=      38.29
 RAKE=     -53.80
 
 
DEPTH = 8.0 km
 
Mw = 4.07
Best Fit 0.9117 - P-T axis plot gives solutions with FIT greater than FIT90

Surface-wave analysis

Surface wave analysis was performed using codes from Computer Programs in Seismology, specifically the multiple filter analysis program do_mft and the surface-wave radiation pattern search program srfgrd96.

Data preparation

Digital data were collected, instrument response removed and traces converted to Z, R an T components. Multiple filter analysis was applied to the Z and T traces to obtain the Rayleigh- and Love-wave spectral amplitudes, respectively. These were input to the search program which examined all depths between 1 and 25 km and all possible mechanisms.
Best mechanism fit as a function of depth. The preferred depth is given above. Lower hemisphere projection

Pressure-tension axis trends. Since the surface-wave spectra search does not distinguish between P and T axes and since there is a 180 ambiguity in strike, all possible P and T axes are plotted. First motion data and waveforms will be used to select the preferred mechanism. The purpose of this plot is to provide an idea of the possible range of solutions. The P and T-axes for all mechanisms with goodness of fit greater than 0.9 FITMAX (above) are plotted here.


Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the Love and Rayleigh wave radiation patterns. 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. Because of the symmetry of the spectral amplitude rediation patterns, only strikes from 0-180 degrees are sampled.

Love-wave radiation patterns

Rayleigh-wave radiation patterns