Location

2009/05/29 18:16:01 48.516 -112.336 0.0 3.60 Montana

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  2009/05/29 18:16:01:0  48.52 -112.34   0.0 3.6 Montana
 
 Stations used:
   TA.A12A TA.A14A TA.A15A TA.A16A TA.A18A TA.B12A TA.B13A 
   TA.B14A TA.B15A TA.B17A TA.B18A TA.B19A TA.C12B TA.C13A 
   TA.C15A TA.C19A TA.D12A TA.D13A TA.D14A TA.E14A TA.E15A 
   TA.F13A US.EGMT US.MSO US.NEW 
 
 Filtering commands used:
   hp c 0.025 n 3
   lp c 0.06 n 3
 
 Best Fitting Double Couple
  Mo = 6.92e+20 dyne-cm
  Mw = 3.16 
  Z  = 2 km
  Plane   Strike  Dip  Rake
   NP1      334    55    87
   NP2      160    35    95
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.92e+20     80     230
    N   0.00e+00      3     336
    P  -6.92e+20     10      66

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -9.80e+19
       Mxy    -2.35e+20
       Mxz    -1.27e+20
       Myy    -5.50e+20
       Myz    -2.05e+20
       Mzz     6.48e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 --####----------------              
              ---#########----------------           
             ---############---------------          
           ----###############---------------        
          -----#################--------------       
         -----###################-----------         
        ------####################---------- P -     
        ------######################--------   -     
       -------######################-------------    
       -------#######################------------    
       -------#########   ############-----------    
       --------######## T ############-----------    
        -------########   #############---------     
        --------#######################---------     
         --------######################--------      
          --------#####################-------       
           ---------###################------        
             --------##################----          
              ----------##############----           
                 ----------###########-              
                     ------------##                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  6.48e+20  -1.27e+20   2.05e+20 
 -1.27e+20  -9.80e+19   2.35e+20 
  2.05e+20   2.35e+20  -5.50e+20 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20090529181601/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 = 160
      DIP = 35
     RAKE = 95
       MW = 3.16
       HS = 2.0

The waveform inversion is preferred. The is well defined because of the nearby USArray stations. The event is shallow because of the very short period Rayleigh waves seen in the bandpass filtered data. I changed the bandpass from the normal 0.02 - 0.10 Hz to 0.025 - 0.06 Hz to reduce the effect of the very short period surface waves. The odd this about this earthquake is that it a NS striking thrust fault and not the expected normal faulting. The following is from Mike Stickney:

Hi Bob:

I was thrilled to see that you were able to determine a focal mechanism for the May 29 earthquake in northern Montana and that your work indicates a very shallow focal depth. As I picked this event, it seemed clear to me that it was a very shallow event because of the impressive surface waves that are not typical of most local earthquakes I look at. I strongly suspect that this event may be related to oil and gas field activities (injection and flooding to enhance secondary recovery)—because the epicenter lies within the field and the focus is atypically shallow.

Although it may not be reported on the USGS information for this event, it was felt. I spoke with the Glacier County Disaster and Emergency Services coordinator and he did feel the earthquake

I was just curious to know if the shallow focus had anything to do with the fact that you were able to find a solution for such a small event. With an Mw of 3.16, this is much smaller than several previous events (mid-to-high 3’s) that apparently lacked sufficient low frequency energy for a solution.

Thanks for any thoughts. -Mike

Michael Stickney, Director
Earthquake Studies Office
Montana Bureau of Mines and Geology
Montana Tech of the University of Montana
1300 W Park St
Butte, MT 59701

Moment Tensor Comparison

The following compares this source inversion to others
SLU
 USGS/SLU Moment Tensor Solution
 ENS  2009/05/29 18:16:01:0  48.52 -112.34   0.0 3.6 Montana
 
 Stations used:
   TA.A12A TA.A14A TA.A15A TA.A16A TA.A18A TA.B12A TA.B13A 
   TA.B14A TA.B15A TA.B17A TA.B18A TA.B19A TA.C12B TA.C13A 
   TA.C15A TA.C19A TA.D12A TA.D13A TA.D14A TA.E14A TA.E15A 
   TA.F13A US.EGMT US.MSO US.NEW 
 
 Filtering commands used:
   hp c 0.025 n 3
   lp c 0.06 n 3
 
 Best Fitting Double Couple
  Mo = 6.92e+20 dyne-cm
  Mw = 3.16 
  Z  = 2 km
  Plane   Strike  Dip  Rake
   NP1      334    55    87
   NP2      160    35    95
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   6.92e+20     80     230
    N   0.00e+00      3     336
    P  -6.92e+20     10      66

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -9.80e+19
       Mxy    -2.35e+20
       Mxz    -1.27e+20
       Myy    -5.50e+20
       Myz    -2.05e+20
       Mzz     6.48e+20
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 --####----------------              
              ---#########----------------           
             ---############---------------          
           ----###############---------------        
          -----#################--------------       
         -----###################-----------         
        ------####################---------- P -     
        ------######################--------   -     
       -------######################-------------    
       -------#######################------------    
       -------#########   ############-----------    
       --------######## T ############-----------    
        -------########   #############---------     
        --------#######################---------     
         --------######################--------      
          --------#####################-------       
           ---------###################------        
             --------##################----          
              ----------##############----           
                 ----------###########-              
                     ------------##                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  6.48e+20  -1.27e+20   2.05e+20 
 -1.27e+20  -9.80e+19   2.35e+20 
  2.05e+20   2.35e+20  -5.50e+20 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20090529181601/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 0.025 n 3
lp c 0.06 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   340    60    90   3.05 0.4161
WVFGRD96    1.0   155    40    85   3.06 0.4348
WVFGRD96    2.0   160    35    95   3.16 0.4821
WVFGRD96    3.0   155    40    85   3.21 0.4550
WVFGRD96    4.0   170    40   105   3.21 0.3686
WVFGRD96    5.0   310    70    45   3.17 0.3237
WVFGRD96    6.0   270    60   -15   3.23 0.3164
WVFGRD96    7.0   270    60   -15   3.24 0.3254
WVFGRD96    8.0   160    70    85   3.26 0.3333
WVFGRD96    9.0   350    20   100   3.26 0.3414
WVFGRD96   10.0   160    70    85   3.25 0.3460
WVFGRD96   11.0   345    20    95   3.25 0.3484
WVFGRD96   12.0   270    55   -25   3.32 0.3537
WVFGRD96   13.0   270    55   -30   3.33 0.3580
WVFGRD96   14.0   270    55   -30   3.34 0.3628
WVFGRD96   15.0   270    55   -30   3.34 0.3661
WVFGRD96   16.0   270    60   -35   3.35 0.3686
WVFGRD96   17.0   270    60   -35   3.36 0.3696
WVFGRD96   18.0   270    60   -35   3.37 0.3691
WVFGRD96   19.0   270    60   -35   3.37 0.3674

The best solution is

WVFGRD96    2.0   160    35    95   3.16 0.4821

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 0.025 n 3
lp c 0.06 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.

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=Thu Jun 4 09:49:10 CDT 2009

Last Changed 2009/05/29