Location

2008/02/22 01:50:06 41.023 -114.932 10.0 3.9 Nevada

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports page for

Focal Mechanism

 SLU Moment Tensor Solution
 2008/02/22 01:50:06 41.023 -114.932 10.0 3.9 Nevada
 
 Best Fitting Double Couple
    Mo = 7.76e+21 dyne-cm
    Mw = 3.86 
    Z  = 11 km
     Plane   Strike  Dip  Rake
      NP1      230    55   -60
      NP2        5    45   -126
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   7.76e+21      6     299
     N   0.00e+00     24      32
     P  -7.76e+21     65     197



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx     5.76e+20
       Mxy    -3.66e+21
       Mxz     3.19e+21
       Myy     5.74e+21
       Myz     2.27e+20
       Mzz    -6.32e+21
                                                     
                                                     
                                                     
                                                     
                     ###########---                  
                 #################-----              
              #####################-------           
             #######################-------          
            ###################------########        
          T ###############-----------########       
            ############--------------#########      
        ##############-----------------#########     
        ############-------------------#########     
       ###########---------------------##########    
       ##########----------------------##########    
       #########-----------------------##########    
       ########------------------------##########    
        ######-----------   -----------#########     
        #####------------ P ----------##########     
         ###-------------   ----------#########      
          ##-------------------------#########       
           #------------------------#########        
             ----------------------########          
              -------------------#########           
                 --------------########              
                     --------######                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
 -6.32e+21   3.19e+21  -2.27e+20 
  3.19e+21   5.76e+20   3.66e+21 
 -2.27e+20   3.66e+21   5.74e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20080222015006/index.html
        

Preferred Solution

The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion and first motion observations is

      STK = 230
      DIP = 55
     RAKE = -60
       MW = 3.86
       HS = 11

The wveform inversion solution is preferred. The surface-wave solution has a very small data set.

Waveform Inversion

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the and stations used for 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 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 from 0.5 to 19 km depth are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    0.5   210    45   -90   3.43 0.2226
WVFGRD96    1.0   235    80    -5   3.39 0.1911
WVFGRD96    2.0    30    45    90   3.59 0.2318
WVFGRD96    3.0    85    45    25   3.59 0.2345
WVFGRD96    4.0    95    30     0   3.65 0.2760
WVFGRD96    5.0    75    30   -25   3.67 0.3111
WVFGRD96    6.0    65    35   -40   3.69 0.3469
WVFGRD96    7.0    55    40   -55   3.73 0.3781
WVFGRD96    8.0   220    55   -75   3.82 0.4048
WVFGRD96    9.0   225    55   -70   3.84 0.4294
WVFGRD96   10.0   225    55   -65   3.85 0.4404
WVFGRD96   11.0   230    55   -60   3.86 0.4422
WVFGRD96   12.0   230    55   -60   3.87 0.4371
WVFGRD96   13.0   230    55   -60   3.88 0.4261
WVFGRD96   14.0   235    60   -55   3.88 0.4111
WVFGRD96   15.0   235    60   -50   3.89 0.3947
WVFGRD96   16.0   235    60   -50   3.90 0.3766
WVFGRD96   17.0   235    60   -50   3.90 0.3569
WVFGRD96   18.0   240    65   -45   3.91 0.3367
WVFGRD96   19.0   240    65   -45   3.91 0.3171
WVFGRD96   20.0   240    65   -45   3.92 0.2975
WVFGRD96   21.0   240    65   -45   3.92 0.2789
WVFGRD96   22.0   240    65   -45   3.93 0.2604
WVFGRD96   23.0   240    70   -45   3.93 0.2437
WVFGRD96   24.0   240    70   -45   3.93 0.2285
WVFGRD96   25.0   245    75   -45   3.93 0.2144
WVFGRD96   26.0   335    55   -25   3.93 0.2070
WVFGRD96   27.0   335    55   -25   3.94 0.2041
WVFGRD96   28.0   335    55   -25   3.95 0.2020
WVFGRD96   29.0   335    60   -30   3.95 0.2011

The best solution is

WVFGRD96   11.0   230    55   -60   3.86 0.4422

The mechanism correspond 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 componnet is plotted to the same scale and peak amplitudes are indicated by the numbers to the left of each trace. The number in black at the rightr of each predicted traces 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 and because the velocity model used in the predictions may not be perfect. 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 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 depth of 8 km
Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to thewavefroms. 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.

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=      15.00
  DIP=      49.99
 RAKE=    -115.00
  
             OR
  
  STK=     230.96
  DIP=      46.04
 RAKE=     -63.28
 
 
DEPTH = 9.0 km
 
Mw = 3.99
Best Fit 0.8861 - P-T axis plot gives solutions with FIT greater than FIT90

First motion data

The P-wave first motion data for focal mechanism studies are as follow:

Sta Az(deg)    Dist(km)   First motion
N12A      205   21 -12345
ELK       220   40 -12345
N13A      107   64 -12345
N11A      252   71 -12345
M13A       60   74 -12345
M11A      302   85 -12345
O12A      169   85 -12345
L12A      357  125 -12345
O13A      141  128 -12345
N10A      256  137 -12345
M14A       68  143 -12345
L11A      332  144 -12345
L13A       35  144 -12345
M10A      293  146 -12345
N14A       97  148 -12345
O10A      239  155 -12345
BGU        93  161 -12345
P12A      179  172 -12345
L10A      313  174 -12345
K12A        1  179 -12345
L14A       51  180 -12345
DUG       116  201 -12345
N15A       93  204 -12345
M15A       76  214 -12345
L15A       62  239 -12345
Q11A      195  250 -12345
K10A      321  253 -12345
Q14A      147  266 -12345
NLU       115  270 -12345
J11A      345  276 -12345
P15A      125  277 -12345
AHID       57  372 -12345
DCID1      46  421 -12345

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

Broadband station distribution

The distribution of broadband stations with azimuth and distance is

Sta Az(deg)    Dist(km)   
N10A	  256	  137
M14A	   68	  143
BGU	   93	  161
L14A	   51	  180
HVU	   64	  199
DUG	  116	  201
N15A	   93	  204
SPU	   80	  211
M15A	   76	  214
K11A	  335	  215
M09A	  283	  216
N09A	  266	  219
Q12A	  178	  220
K14A	   40	  223
L15A	   62	  239
NOQ	   99	  241
Q13A	  161	  242
J12A	  357	  248
Q14A	  147	  266
NLU	  115	  270
CTU	   97	  271
N08A	  265	  271
J11A	  345	  276
P15A	  125	  277
M16A	   82	  279
J14A	   24	  281
M08A	  280	  293
N16A	   92	  295
R11A	  191	  302
O16A	  106	  304
J10A	  331	  307
L16A	   68	  312
L08A	  296	  313
Q15A	  135	  313
P16A	  118	  319
R13A	  165	  326
I11A	  346	  332
J15A	   37	  335
K16A	   53	  342
R14A	  151	  344
N17A	   90	  345
WVOR	  298	  346
K08A	  304	  351
M07A	  278	  358
L17A	   69	  359
M17A	   81	  361
O17A	  103	  367
S10A	  203	  373
S12A	  179	  379
K17A	   59	  384
L07A	  288	  384
H12A	    1	  392
S13A	  166	  393
S14A	  157	  393
RRI2	   48	  395
P17A	  114	  396
H13A	    8	  397
I09A	  326	  401
M18A	   82	  410
H11A	  348	  418
L18A	   75	  421
SRU	  118	  432
O19A	   97	  498

Waveform comparison for this mechanism

Since the analysis of the surface-wave radiation patterns uses only spectral amplitudes and because the surfave-wave radiation patterns have a 180 degree symmetry, each surface-wave solution consists of four possible focal mechanisms corresponding to the interchange of the P- and T-axes and a roation of the mechanism by 180 degrees. To select one mechanism, P-wave first motion can be used. This was not possible in this case because all the P-wave first motions were emergent ( a feature of the P-wave wave takeoff angle, the station location and the mechanism). The other way to select among the mechanisms is to compute forward synthetics and compare the observed and predicted waveforms.

The fits to the waveforms with the given mechanism are show below:

This figure shows the fit to the three components of motion (Z - vertical, R-radial and T - transverse). For each station and component, the observed traces is shown in red and the model predicted trace in blue. The traces represent filtered ground velocity in units of meters/sec (the peak value is printed adjacent to each trace; each pair of traces to plotted to the same scale to emphasize the difference in levels). Both synthetic and observed traces have been filtered using the SAC commands:

hp c 0.04 n 3
lp c 0.10 n 3

Discussion

The Future

Should the national backbone of the USGS Advanced National Seismic System (ANSS) be implemented with an interstation separation of 300 km, it is very likely that an earthquake such as this would have been recorded at distances on the order of 100-200 km. This means that the closest station would have information on source depth and mechanism that was lacking here.

Acknowledgements

Dr. Harley Benz, USGS, provided the USGS USNSN digital data. The digital data used in this study were provided by Natural Resources Canada through their AUTODRM site http://www.seismo.nrcan.gc.ca/nwfa/autodrm/autodrm_req_e.php, and IRIS using their BUD interface

Appendix A


Spectra fit plots to each station

Velocity Model

The WUS.REG used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:

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    

Quality Control

Here we tabulate the reasons for not using certain digital data sets

The following stations did not have a valid response files:

DATE=Sat Oct 24 11:41:27 CDT 2009

Last Changed 2008/02/22