Location

SLU location using NRCAN data

A54    Z   10.32  28. 156. 20060407083145.753        -0.01  0 iC P        0.98
 A54    Z   10.32  28. 156. 20060407083148.867         0.05  2 eX S        0.45
 LMQ    Z   22.36  30. 134. 20060407083146.848         0.02  0 iC P        0.96
 LMQ    Z   22.36  30. 134. 20060407083150.714         0.06  2 eX S        0.45
 A11    Z   25.69 125. 130. 20060407083147.190        -0.01  0 iC P        0.98
 A11    Z   25.69 125. 130. 20060407083151.223        -0.08  0 iX S        0.86
 A16    Z   37.00  73. 118. 20060407083153.797         0.05  0 iX S        0.91
 A16    Z   37.00  73. 118. 20060407083148.678         0.06  0 iC P        0.88
 A64    Z   66.70  41. 102. 20060407083200.882        -0.14  0 iX S        0.57
 A64    Z   66.70  41. 101. 20060407083152.457        -0.36  0 iC P        0.41
 A21    Z   69.55  58. 101. 20060407083202.024         0.27  0 iX S        0.44
 A21    Z   69.55  58. 101. 20060407083153.152        -0.08  2 e- P        0.31
 MNT    Z  318.72 230.  95. 20060407083305.299        -6.33  2 eX Lg       0.00
 MNT    Z  318.72 230.  55. 20060407083229.636         3.78  2 eX P        0.00
 MNT    Z  318.72 230.  55. 20060407083259.368         1.06  2 eX S        0.02
 MNT    Z  318.72 230.  95. 20060407083236.119         1.26  2 eX Pg       0.02
 ICQ    Z  336.15  44.  55. 20060407083228.110         0.11  2 eX P        0.06

 Error Ellipse  X=   0.5840 km  Y= 0.7854 km  Theta = 177.9083 deg

 RMS Error        :               0.042              sec
 Travel_Time_Table:          CUS
 Latitude         :             47.3748 +-    0.0052 N         0.5843 km
 Longitude        :            -70.4769 +-    0.0105 E         0.7851 km
 Depth            :               24.02 +-      0.91 km
 Epoch Time       :      1144398701.589 +-      0.16 sec
 Event Time       :  20060407083141.589 +-      0.16 sec
 HYPO71 Quality   :                  BC
 Gap              :                 157              deg

2006/04/07 08:31:41 47.38N 70.46W 25. 4.1 Quebec, Canada

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports page for Southeastern Canada

Focal Mechanism

 SLU Moment Tensor Solution
 2006/04/07 08:31:41 47.38N  70.46W 25. 4.1 Quebec, Canada
 
 Best Fitting Double Couple
    Mo = 5.07e+21 dyne-cm
    Mw = 3.77 
    Z  = 25 km
     Plane   Strike  Dip  Rake
      NP1       15    55    85
      NP2      204    35    97
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   5.07e+21     79     266
     N   0.00e+00      4      18
     P  -5.07e+21     10     109



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx    -4.99e+20
       Mxy     1.50e+21
       Mxz     2.02e+20
       Myy    -4.25e+21
       Myz    -1.73e+21
       Mzz     4.75e+21
                                                     
                                                     
                                                     
                                                     
                     -------------#                  
                 -----------#######----              
              ----------############------           
             ---------###############------          
           ---------#################--------        
          --------###################---------       
         --------#####################---------      
        --------######################----------     
        -------#######################----------     
       --------######################------------    
       -------#########   ###########------------    
       -------######### T ###########------------    
       -------#########   ##########-------------    
        ------######################--------   -     
        ------#####################--------- P -     
         -----####################----------         
          ----###################-------------       
           ----#################-------------        
             ---###############------------          
              ---############-------------           
                 -#########------------              
                     ###-----------                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
  4.75e+21   2.02e+20   1.73e+21 
  2.02e+20  -4.99e+20  -1.50e+21 
  1.73e+21  -1.50e+21  -4.25e+21 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/NEW/20060407083140/index.html
        

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the station distribution are given in Figure 1.
Figure 1. Location of broadband stations used to obtain focal mechanism

Preferred Solution

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

      STK = 15
      DIP = 55
     RAKE = 85
       MW = 3.77
       HS = 25

The waveform inversion solution is the preferred. This was possible because of the fine broadband stations available in the region through NRCanada. There were too few surface-wave spectral data to get a mechanism, other than to say that the moment magnitude is appropriate.

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 0.05 3
lp c 0.50 3
br c 0.12 0.25 n 4 p 2
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   170     0    75   3.38 0.5173
WVFGRD96    1.0   360    85    80   3.36 0.5451
WVFGRD96    2.0    10    80    70   3.34 0.5592
WVFGRD96    3.0    20    65    70   3.38 0.5621
WVFGRD96    4.0   185    90   -75   3.38 0.5307
WVFGRD96    5.0    30    25   -65   3.48 0.5233
WVFGRD96    6.0    40    35   -50   3.51 0.4902
WVFGRD96    7.0    55    30   -40   3.59 0.4778
WVFGRD96    8.0   180    55    35   3.62 0.4433
WVFGRD96    9.0    50    35   -55   3.68 0.4675
WVFGRD96   10.0   195    45    60   3.68 0.5154
WVFGRD96   11.0   195    50    55   3.70 0.5062
WVFGRD96   12.0   190    50    50   3.71 0.5065
WVFGRD96   13.0   350    75    20   3.62 0.5099
WVFGRD96   14.0    80    50     0   3.70 0.5154
WVFGRD96   15.0    80    50     0   3.71 0.5140
WVFGRD96   16.0    80    55     0   3.73 0.5180
WVFGRD96   17.0    85    55     0   3.77 0.5061
WVFGRD96   18.0    95    50     5   3.79 0.5223
WVFGRD96   19.0    45    50    90   3.60 0.5234
WVFGRD96   20.0    40    50    85   3.66 0.5981
WVFGRD96   21.0    35    50    85   3.69 0.6394
WVFGRD96   22.0    25    55    90   3.71 0.6553
WVFGRD96   23.0    35    50    85   3.72 0.6647
WVFGRD96   24.0    30    50    80   3.75 0.7060
WVFGRD96   25.0    15    55    85   3.77 0.7126
WVFGRD96   26.0   200    35    90   3.76 0.6692
WVFGRD96   27.0    30    50    80   3.76 0.6552
WVFGRD96   28.0    25    50    75   3.78 0.6463
WVFGRD96   29.0    30    50    80   3.77 0.6239

The best solution is

WVFGRD96   25.0    15    55    85   3.77 0.7126

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 0.05 3
lp c 0.50 3
br c 0.12 0.25 n 4 p 2
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


  NODAL PLANES 

  
  STK=     164.99
  DIP=      85.00
 RAKE=      40.00
  
             OR
  
  STK=      70.80
  DIP=      50.19
 RAKE=     173.48
 
 
DEPTH = 15.0 km
 
Mw = 3.57
Best Fit 0.9295 - 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
A54        24   11 iP_C
LMQ        29   23 iP_C
A11       124   25 iP_C
A16        72   37 iP_C
A64        40   67 iP_C
A21        57   70 eP_-
MNT       231  319 eP_X
ICQ        43  337 eP_X
NCB       219  478 ePn
SCHQ       16  869 -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 distributiuon

The distribution of broadband stations with azimuth and distance is

Sta Az(deg)    Dist(km)   
A21	   57	   70
MNT	  231	  319
ICQ	   44	  337
NCB	  220	  471
HRV	  190	  539
PAL	  203	  751

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 0.05 3
lp c 0.50 3
br c 0.12 0.25 n 4 p 2

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

The figures below show the observed spectral amplitudes (units of cm-sec) at each station and the theoretical predictions as a function of period for the mechanism given above. The CUS model earth model was used to define the Green's functions. For each station, the Love and Rayleigh wave spectrail amplitudes are plotted with the same scaling so that one can get a sense fo the effects of the effects of the focal mechanism and depth on the excitation of each.

Quality Control

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

The following stations did not have a valid response files:

Last Changed Fri Apr 7 15:24:09 CDT 2006