Location

SLU - Elocate

The SLU elocate solution using the WUS model is given in elocate.txt. This solution is about 22 km WSW (az of 236) of the NEIC solution.

NEIC

2010/04/23 10:03:06 -37.5300 -72.9700 32.0 6.00 Chile

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports main page

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2010/04/23 10:03:06:1 -37.53  -72.97  32.0 6.0 Chile
 
 Stations used:
   XY.U01B XY.U03B XY.U04B XY.U05B XY.U07B XY.U08B XY.U09B 
   XY.U10B XY.U11B XY.U12B XY.U15B XY.U26B XY.U27B XY.U28B 
   XY.U29B XY.U30B XY.U32B XY.U34B XY.U35B XY.U36B XY.U40B 
   XY.U41B XY.U42B XY.U43B XY.U44B XY.U45B XY.U46B XY.U51B 
   XY.U52B XY.U53B XY.U56B XY.U57B XY.U59B XY.U61B XY.U62B 
   XY.U63B XY.U64B XY.U65B XY.U66B 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.05 n 3
 
 Best Fitting Double Couple
  Mo = 7.00e+24 dyne-cm
  Mw = 5.83 
  Z  = 35 km
  Plane   Strike  Dip  Rake
   NP1      140    85    65
   NP2       39    25   168
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   7.00e+24     44      25
    N   0.00e+00     25     142
    P  -7.00e+24     35     251

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     2.45e+24
       Mxy    -3.07e+22
       Mxz     4.21e+24
       Myy    -3.55e+24
       Myz     4.62e+24
       Mzz     1.10e+24
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ######################              
              -##########################-           
             ---###########################          
           ------##############   ##########-        
          --------############# T ##########--       
         -----------###########   ###########--      
        -------------########################---     
        ---------------######################---     
       -----------------#####################----    
       -------------------###################----    
       --------------------##################----    
       -------   ------------###############-----    
        ------ P -------------#############-----     
        ------   ---------------##########------     
         -------------------------#######------      
          -------------------------#####------       
           --------------------------#-------        
             -----------------------###----          
              -------------------########-           
                 ##---------###########              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.10e+24   4.21e+24  -4.62e+24 
  4.21e+24   2.45e+24   3.07e+22 
 -4.62e+24   3.07e+22  -3.55e+24 


Details of the solution is found at

http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20100423100306/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 = 140
      DIP = 85
     RAKE = 65
       MW = 5.83
       HS = 35.0

The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
GCMT
SLUFM
 USGS/SLU Moment Tensor Solution
 ENS  2010/04/23 10:03:06:1 -37.53  -72.97  32.0 6.0 Chile
 
 Stations used:
   XY.U01B XY.U03B XY.U04B XY.U05B XY.U07B XY.U08B XY.U09B 
   XY.U10B XY.U11B XY.U12B XY.U15B XY.U26B XY.U27B XY.U28B 
   XY.U29B XY.U30B XY.U32B XY.U34B XY.U35B XY.U36B XY.U40B 
   XY.U41B XY.U42B XY.U43B XY.U44B XY.U45B XY.U46B XY.U51B 
   XY.U52B XY.U53B XY.U56B XY.U57B XY.U59B XY.U61B XY.U62B 
   XY.U63B XY.U64B XY.U65B XY.U66B 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.05 n 3
 
 Best Fitting Double Couple
  Mo = 7.00e+24 dyne-cm
  Mw = 5.83 
  Z  = 35 km
  Plane   Strike  Dip  Rake
   NP1      140    85    65
   NP2       39    25   168
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   7.00e+24     44      25
    N   0.00e+00     25     142
    P  -7.00e+24     35     251

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     2.45e+24
       Mxy    -3.07e+22
       Mxz     4.21e+24
       Myy    -3.55e+24
       Myz     4.62e+24
       Mzz     1.10e+24
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 ######################              
              -##########################-           
             ---###########################          
           ------##############   ##########-        
          --------############# T ##########--       
         -----------###########   ###########--      
        -------------########################---     
        ---------------######################---     
       -----------------#####################----    
       -------------------###################----    
       --------------------##################----    
       -------   ------------###############-----    
        ------ P -------------#############-----     
        ------   ---------------##########------     
         -------------------------#######------      
          -------------------------#####------       
           --------------------------#-------        
             -----------------------###----          
              -------------------########-           
                 ##---------###########              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.10e+24   4.21e+24  -4.62e+24 
  4.21e+24   2.45e+24   3.07e+22 
 -4.62e+24   3.07e+22  -3.55e+24 


Details of the solution is found at

http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20100423100306/index.html
	
CENTROID-MOMENT-TENSOR  SOLUTION
GCMT EVENT:     C201004231003A
DATA: II IU CU IC G  GE
L.P.BODY WAVES:102S, 212C, T= 40
MANTLE WAVES:   55S,  68C, T=125
SURFACE WAVES: 104S, 221C, T= 50
TIMESTAMP:      Q-20100423182021
CENTROID LOCATION:
ORIGIN TIME:      10:03:10.1 0.1
LAT:37.67S 0.01;LON: 73.27W 0.01
DEP: 28.0  0.4;TRIANG HDUR:  2.5
MOMENT TENSOR: SCALE 10**25 D-CM
RR= 0.345 0.007; TT= 0.066 0.005
PP=-0.410 0.007; RT= 0.913 0.022
RP=-0.877 0.020; TP= 0.200 0.005
PRINCIPAL AXES:
1.(T) VAL=  1.323;PLG=52;AZM= 33
2.(N)       0.029;    10;    136
3.(P)      -1.351;    36;    234
BEST DBLE.COUPLE:M0= 1.34*10**25
NP1: STRIKE=  8;DIP=13;SLIP= 142
NP2: STRIKE=135;DIP=82;SLIP=  80

            ##########-
        #################--
      #####################--
    ---######################--
   -----############   #######--
  --------########## T ########--
  ---------#########   #########-
 ------------###################--
 -------------##################--
 ---------------################--
 -----------------##############--
  -----   ----------###########--
  ----- P ------------#########--
   ----   --------------######--
    -----------------------#---
      ---------------------##
        ----------------###
            ---------##

        


First motions and takeoff angles from an elocate run.

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 0.05 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   290    40   -90   5.34 0.1842
WVFGRD96    1.0   110    45   -90   5.39 0.1962
WVFGRD96    2.0   110    50   -90   5.48 0.2344
WVFGRD96    3.0   110    45    85   5.55 0.2496
WVFGRD96    4.0   100    45    70   5.59 0.2323
WVFGRD96    5.0    70    60    20   5.60 0.2064
WVFGRD96    6.0    65    75     0   5.62 0.2001
WVFGRD96    7.0    65    75    -5   5.64 0.1998
WVFGRD96    8.0   135    85    75   5.62 0.1998
WVFGRD96    9.0   140    80    75   5.63 0.2250
WVFGRD96   10.0   140    80    75   5.64 0.2486
WVFGRD96   11.0   140    80    75   5.64 0.2703
WVFGRD96   12.0   140    80    75   5.65 0.2897
WVFGRD96   13.0   140    80    75   5.66 0.3077
WVFGRD96   14.0   140    80    75   5.66 0.3241
WVFGRD96   15.0   140    80    75   5.67 0.3391
WVFGRD96   16.0   140    80    75   5.68 0.3529
WVFGRD96   17.0   140    80    70   5.69 0.3657
WVFGRD96   18.0   140    80    70   5.70 0.3776
WVFGRD96   19.0   140    80    70   5.71 0.3884
WVFGRD96   20.0   140    80    70   5.71 0.3983
WVFGRD96   21.0   140    80    70   5.73 0.4073
WVFGRD96   22.0   140    80    70   5.74 0.4159
WVFGRD96   23.0   135    85    70   5.74 0.4238
WVFGRD96   24.0   135    85    70   5.75 0.4314
WVFGRD96   25.0   140    85    70   5.76 0.4383
WVFGRD96   26.0   140    85    70   5.77 0.4446
WVFGRD96   27.0   140    85    70   5.78 0.4502
WVFGRD96   28.0   140    85    70   5.79 0.4552
WVFGRD96   29.0   140    85    70   5.79 0.4593
WVFGRD96   30.0   315    90   -70   5.79 0.4616
WVFGRD96   31.0   140    85    70   5.81 0.4652
WVFGRD96   32.0   140    85    70   5.81 0.4671
WVFGRD96   33.0   140    85    65   5.82 0.4684
WVFGRD96   34.0   140    85    65   5.83 0.4692
WVFGRD96   35.0   140    85    65   5.83 0.4695
WVFGRD96   36.0   140    85    65   5.83 0.4694
WVFGRD96   37.0   135    90    65   5.83 0.4689
WVFGRD96   38.0   315    90   -65   5.83 0.4681
WVFGRD96   39.0   315    90   -65   5.83 0.4668

The best solution is

WVFGRD96   35.0   140    85    65   5.83 0.4695

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 0.05 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 WUS 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=Tue Nov 9 07:00:13 MST 2010

Last Changed 2010/04/23