Location

Location ANSS

The ANSS event ID is nn00239974 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/nn00239974/executive.

2008/04/01 13:16:17 41.225 -114.830 9.5 4.1 Nevada

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2008/04/01 13:16:17:0  41.22 -114.83   9.5 4.1 Nevada
 
 Stations used:
   IW.DCID1 IW.DLMT IW.IMW IW.LOHW IW.REDW IW.RRI2 IW.SNOW 
   IW.TPAW TA.D10A TA.D13A TA.D14A TA.D15A TA.D16A TA.E10A 
   TA.E11A TA.E14A TA.E15A TA.E16A TA.F08A TA.F09A TA.F10A 
   TA.F12A TA.F13A TA.F14A TA.F15A TA.F16A TA.G06A TA.G08A 
   TA.G09A TA.G10A TA.G11A TA.G13A TA.G14A TA.G15A TA.G16A 
   TA.G17A TA.H08A TA.H09A TA.H10A TA.H11A TA.H12A TA.H13A 
   TA.H14A TA.H15A TA.H16A TA.I07A TA.I08A TA.I09A TA.I10A 
   TA.I11A TA.I13A TA.I14A TA.I15A TA.I16A TA.I17A TA.I18A 
   TA.J06A TA.J07A TA.J08A TA.J09A TA.J10A TA.J11A TA.J14A 
   TA.J17A TA.J18A TA.K05A TA.K07A TA.K08A TA.K09A TA.K10A 
   TA.K11A TA.K12A TA.K13A TA.K14A TA.K15A TA.K16A TA.K17A 
   TA.K18A TA.K19A TA.K20A 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.L19A TA.L20A TA.M07A TA.M08A TA.M09A TA.M10A 
   TA.M11A TA.M12A TA.M14A TA.M15A TA.M17A TA.M18A TA.M19A 
   TA.M20A TA.N06A TA.N10A TA.N11A TA.N12A TA.N13A TA.N14A 
   TA.N15A TA.N16A TA.N17A TA.N18A TA.N19A TA.N20A TA.O10A 
   TA.O11A TA.O12A TA.O13A TA.O15A TA.O16A TA.O17A TA.O18A 
   TA.O19A TA.O20A TA.P10A TA.P11A TA.P12A TA.P13A TA.P14A 
   TA.P15A TA.P16A TA.P17A TA.P19A TA.P20A TA.Q10A TA.Q11A 
   TA.Q12A TA.Q13A TA.Q14A TA.Q15A TA.Q16A TA.Q18A TA.Q19A 
   TA.Q20A TA.Q21A TA.R10A TA.R11A TA.R12A TA.R13A TA.R14A 
   TA.R15A TA.R16A TA.R17A TA.R18A TA.R19A TA.S10A TA.S11A 
   TA.S12A TA.S13A TA.S14A TA.S17A TA.S18A TA.S19A TA.T11A 
   TA.T12A TA.T13A TA.T14A TA.T15A TA.T16A TA.T17A TA.T18A 
   TA.U10A TA.U13A TA.U14A TA.U15A TA.U16A TA.U17A TA.V11A 
   TA.V12A TA.V14A TA.V15A TA.W12A TA.W13A US.AHID US.BMO 
   US.BW06 US.DUG US.ELK US.HLID US.HWUT US.WVOR UU.CCUT 
   UU.CTU UU.MPU UU.NLU UU.NOQ UU.SPU UU.SRU 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.10 n 3
 
 Best Fitting Double Couple
  Mo = 1.91e+22 dyne-cm
  Mw = 4.12 
  Z  = 12 km
  Plane   Strike  Dip  Rake
   NP1      185    79   -139
   NP2       85    50   -15
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.91e+22     18     309
    N   0.00e+00     48     198
    P  -1.91e+22     36      53

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     2.37e+21
       Mxy    -1.43e+22
       Mxz    -1.88e+21
       Myy     2.49e+21
       Myz    -1.17e+22
       Mzz    -4.86e+21
                                                     
                                                     
                                                     
                                                     
                     ########------                  
                 ###########-----------              
              ##############--------------           
             ##############----------------          
           ##   ###########------------------        
          ### T ##########-----------   ------       
         ####   ##########----------- P -------      
        ##################-----------   --------     
        ##################----------------------     
       ##################------------------------    
       ##################-----------------------#    
       ##################----------------------##    
       -#################--------------------####    
        --###############------------------#####     
        ----#############----------------#######     
         -------#########------------##########      
          ---------------#####################       
           --------------####################        
             ------------##################          
              -----------#################           
                 ---------#############              
                     -----#########                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -4.86e+21  -1.88e+21   1.17e+22 
 -1.88e+21   2.37e+21   1.43e+22 
  1.17e+22   1.43e+22   2.49e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20080401131617/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 = 85
      DIP = 50
     RAKE = -15
       MW = 4.12
       HS = 12.0

The NDK file is 20080401131617.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   215    45   -90   3.69 0.2912
WVFGRD96    1.0   250    55   -40   3.68 0.2575
WVFGRD96    2.0   225    45   -75   3.87 0.3401
WVFGRD96    3.0   260    55   -20   3.85 0.3402
WVFGRD96    4.0    95    45    15   3.91 0.3877
WVFGRD96    5.0    95    45    15   3.94 0.4329
WVFGRD96    6.0    95    50    15   3.96 0.4718
WVFGRD96    7.0    90    55    15   3.99 0.5047
WVFGRD96    8.0    80    40   -25   4.06 0.5409
WVFGRD96    9.0    85    45   -15   4.07 0.5616
WVFGRD96   10.0    85    50   -15   4.09 0.5753
WVFGRD96   11.0    85    50   -15   4.11 0.5830
WVFGRD96   12.0    85    50   -15   4.12 0.5842
WVFGRD96   14.0    85    55   -15   4.15 0.5649
WVFGRD96   15.0    85    55   -15   4.16 0.5542
WVFGRD96   16.0    85    55   -15   4.17 0.5402
WVFGRD96   17.0    85    55   -15   4.18 0.5238
WVFGRD96   18.0    85    55   -15   4.19 0.5059
WVFGRD96   19.0    85    55   -15   4.20 0.4866
WVFGRD96   20.0    85    55   -15   4.20 0.4667
WVFGRD96   21.0    85    55   -15   4.21 0.4474
WVFGRD96   22.0    85    55   -15   4.22 0.4274
WVFGRD96   23.0    85    55   -10   4.22 0.4077
WVFGRD96   24.0    85    55   -10   4.23 0.3887
WVFGRD96   25.0    85    55   -10   4.23 0.3700
WVFGRD96   26.0    85    55   -10   4.23 0.3519
WVFGRD96   27.0    85    55   -10   4.24 0.3346
WVFGRD96   28.0    85    55   -10   4.24 0.3183
WVFGRD96   29.0    85    55   -10   4.24 0.3031
WVFGRD96   13.0    85    55   -15   4.14 0.5811
WVFGRD96    8.0    80    40   -25   4.06 0.5410
WVFGRD96    9.0    85    45   -15   4.07 0.5616
WVFGRD96   10.0    85    50   -15   4.09 0.5753
WVFGRD96   11.0    85    50   -15   4.11 0.5830
WVFGRD96   12.0    85    50   -15   4.12 0.5842
WVFGRD96   13.0    85    55   -15   4.14 0.5811
WVFGRD96    8.0    80    40   -25   4.06 0.5410
WVFGRD96    9.0    85    45   -15   4.07 0.5616
WVFGRD96   10.0    85    50   -15   4.09 0.5753
WVFGRD96   11.0    85    50   -15   4.11 0.5830
WVFGRD96   12.0    85    50   -15   4.12 0.5842
WVFGRD96   13.0    85    55   -15   4.14 0.5811

The best solution is

WVFGRD96   12.0    85    50   -15   4.12 0.5842

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=     344.64
  DIP=      67.48
 RAKE=     135.90
  
             OR
  
  STK=      94.99
  DIP=      50.00
 RAKE=      30.00
 
 
DEPTH = 9.0 km
 
Mw = 4.17
Best Fit 0.9105 - 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