Location

2011/02/21 23:51:42 -43.58 172.70 5.0 6.10

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports page for

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2011/02/21 23:51:42:0 -43.58  172.70   5.0 6.1 
 
 Stations used:
   NZ.DSZ NZ.EAZ NZ.FOZ NZ.JCZ NZ.LBZ NZ.MSZ NZ.NNZ NZ.ODZ 
   NZ.OPZ NZ.QRZ NZ.TUZ NZ.WHZ NZ.WKZ 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.10 n 3
 
 Best Fitting Double Couple
  Mo = 1.14e+25 dyne-cm
  Mw = 5.97 
  Z  = 13 km
  Plane   Strike  Dip  Rake
   NP1       77    81   160
   NP2      170    70    10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.14e+25     21      32
    N   0.00e+00     68     233
    P  -1.14e+25      7     125

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     3.55e+24
       Mxy     9.65e+24
       Mxz     4.03e+24
       Myy    -4.82e+24
       Myz     8.23e+23
       Mzz     1.27e+24
                                                     
                                                     
                                                     
                                                     
                     ---###########                  
                 ------################              
              ---------############   ####           
             ----------############ T #####          
           -----------#############   #######        
          ------------########################       
         -------------#########################      
        --------------##########################     
        --------------##########################     
       ---------------######################-----    
       ----------------#################---------    
       ----------------###########---------------    
       ----------------####----------------------    
        --------########------------------------     
        ################------------------------     
         ################------------------   -      
          ###############------------------ P        
           ###############-----------------          
             ##############----------------          
              ##############--------------           
                 ############----------              
                     ##########----                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.27e+24   4.03e+24  -8.23e+23 
  4.03e+24   3.55e+24  -9.65e+24 
 -8.23e+23  -9.65e+24  -4.82e+24 


Details of the solution is found at

http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20110221235142/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 = 170
      DIP = 70
     RAKE = 10
       MW = 5.97
       HS = 13.0

The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
 USGS/SLU Moment Tensor Solution
 ENS  2011/02/21 23:51:42:0 -43.58  172.70   5.0 6.1 
 
 Stations used:
   NZ.DSZ NZ.EAZ NZ.FOZ NZ.JCZ NZ.LBZ NZ.MSZ NZ.NNZ NZ.ODZ 
   NZ.OPZ NZ.QRZ NZ.TUZ NZ.WHZ NZ.WKZ 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.10 n 3
 
 Best Fitting Double Couple
  Mo = 1.14e+25 dyne-cm
  Mw = 5.97 
  Z  = 13 km
  Plane   Strike  Dip  Rake
   NP1       77    81   160
   NP2      170    70    10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.14e+25     21      32
    N   0.00e+00     68     233
    P  -1.14e+25      7     125

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     3.55e+24
       Mxy     9.65e+24
       Mxz     4.03e+24
       Myy    -4.82e+24
       Myz     8.23e+23
       Mzz     1.27e+24
                                                     
                                                     
                                                     
                                                     
                     ---###########                  
                 ------################              
              ---------############   ####           
             ----------############ T #####          
           -----------#############   #######        
          ------------########################       
         -------------#########################      
        --------------##########################     
        --------------##########################     
       ---------------######################-----    
       ----------------#################---------    
       ----------------###########---------------    
       ----------------####----------------------    
        --------########------------------------     
        ################------------------------     
         ################------------------   -      
          ###############------------------ P        
           ###############-----------------          
             ##############----------------          
              ##############--------------           
                 ############----------              
                     ##########----                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.27e+24   4.03e+24  -8.23e+23 
  4.03e+24   3.55e+24  -9.65e+24 
 -8.23e+23  -9.65e+24  -4.82e+24 


Details of the solution is found at

http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20110221235142/index.html
	

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    10    50    50   5.63 0.3094
WVFGRD96    1.0   205    50    75   5.69 0.3352
WVFGRD96    2.0   350    85     0   5.59 0.3633
WVFGRD96    3.0   350    80   -10   5.65 0.4040
WVFGRD96    4.0   350    80   -10   5.70 0.4386
WVFGRD96    5.0   170    70    15   5.74 0.4712
WVFGRD96    6.0   170    70    15   5.78 0.5067
WVFGRD96    7.0   170    70    15   5.81 0.5377
WVFGRD96    8.0   170    70    15   5.84 0.5643
WVFGRD96    9.0   170    70    15   5.87 0.5863
WVFGRD96   10.0   170    70    15   5.89 0.6033
WVFGRD96   11.0   170    70    10   5.92 0.6150
WVFGRD96   12.0   170    70    10   5.94 0.6221
WVFGRD96   13.0   170    70    10   5.97 0.6239
WVFGRD96   14.0   170    70    10   5.99 0.6204
WVFGRD96   15.0   170    65    15   6.03 0.6144
WVFGRD96   16.0   170    65    15   6.04 0.6039
WVFGRD96   17.0   170    65    15   6.06 0.5890
WVFGRD96   18.0   170    65    10   6.07 0.5709
WVFGRD96   19.0   345    65   -15   6.08 0.5530
WVFGRD96   20.0   345    65   -15   6.09 0.5329
WVFGRD96   21.0   345    65   -15   6.10 0.5116
WVFGRD96    0.0     0     0     0   0.00-2.0000
WVFGRD96   23.0   340    60   -20   6.11 0.4666
WVFGRD96   24.0   340    60   -20   6.12 0.4440
WVFGRD96   25.0   340    55   -20   6.13 0.4201

The best solution is

WVFGRD96   13.0   170    70    10   5.97 0.6239

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 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 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 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
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.

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.

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.

Thanks also to the many seismic network operators whose dedication make this effort possible: University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint L ouis University, Universityof Memphis, Lamont Doehrty Earth Observatory, Boston College, the Iris stations and the Transportable Array of EarthScope.

Velocity Model

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

MODEL.01
Model after    10 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    
     1.0000     3.6847     2.1276     2.2699  0.302E-02  0.679E-02   0.00       0.00       1.00       1.00    
     1.0000     4.1157     2.3761     2.3392  0.349E-02  0.784E-02   0.00       0.00       1.00       1.00    
     1.0000     4.6393     2.6788     2.4192  0.212E-02  0.476E-02   0.00       0.00       1.00       1.00    
     1.0000     5.0569     2.9193     2.5054  0.111E-02  0.249E-02   0.00       0.00       1.00       1.00    
     1.0000     5.3165     3.0698     2.5563  0.164E-10  0.370E-10   0.00       0.00       1.00       1.00    
     1.0000     5.4790     3.1631     2.5918  0.164E-10  0.370E-10   0.00       0.00       1.00       1.00    
     9.0000     5.6403     3.2569     2.6306   0.00       0.00       0.00       0.00       1.00       1.00    
    10.0000     6.4196     3.7068     2.8208   0.00       0.00       0.00       0.00       1.00       1.00    
     7.0000     6.5607     3.7873     2.8619   0.00       0.00       0.00       0.00       1.00       1.00    
    10.0000     6.6870     3.9106     2.9088   0.00       0.00       0.00       0.00       1.00       1.00    
     0.0000     7.9000     4.6200     3.2760   0.00       0.00       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=Thu Jul 28 16:30:03 CDT 2011

Last Changed 2011/02/21