Location

2009/01/30 13:25:04 47.8040 -122.5420 35.0 4.60 Washington

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports page

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2009/01/30 13:25:04:0  47.80 -122.54  35.0 4.6 Washington
 
 Stations used:
   BK.HUMO CN.HNB CN.HOPB CN.LLLB CN.PGC CN.PNT CN.SNB CN.VGZ 
   IU.COR LI.LTH US.BMO US.HAWA US.NLWA UW.BRAN UW.IZEE 
   UW.KENT UW.LEBA UW.LON UW.LTY UW.OFR UW.OMAK UW.OPC UW.PASS 
   UW.WISH UW.YACT 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.06 n 3
 
 Best Fitting Double Couple
  Mo = 7.59e+22 dyne-cm
  Mw = 4.52 
  Z  = 55 km
  Plane   Strike  Dip  Rake
   NP1      218    80   -165
   NP2      125    75   -10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   7.59e+22      4     351
    N   0.00e+00     72     249
    P  -7.59e+22     18      82

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     7.22e+22
       Mxy    -2.16e+22
       Mxz     1.75e+21
       Myy    -6.56e+22
       Myz    -2.24e+22
       Mzz    -6.59e+21
                                                     
                                                     
                                                     
                                                     
                     ## T #########                  
                 ######   #############              
              ##########################--           
             ########################------          
           ########################----------        
          --#####################-------------       
         ----###################---------------      
        -------###############------------------     
        ---------############---------------   -     
       -----------#########----------------- P --    
       --------------#####------------------   --    
       ----------------#-------------------------    
       ----------------##------------------------    
        --------------######--------------------     
        ------------###########-----------------     
         ----------###############-------------      
          --------#####################-------       
           ------############################        
             ---###########################          
              --##########################           
                 ######################              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -6.59e+21   1.75e+21   2.24e+22 
  1.75e+21   7.22e+22   2.16e+22 
  2.24e+22   2.16e+22  -6.56e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20090130132504/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 = 125
      DIP = 75
     RAKE = -10
       MW = 4.52
       HS = 55.0

The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
PNSN
 USGS/SLU Moment Tensor Solution
 ENS  2009/01/30 13:25:04:0  47.80 -122.54  35.0 4.6 Washington
 
 Stations used:
   BK.HUMO CN.HNB CN.HOPB CN.LLLB CN.PGC CN.PNT CN.SNB CN.VGZ 
   IU.COR LI.LTH US.BMO US.HAWA US.NLWA UW.BRAN UW.IZEE 
   UW.KENT UW.LEBA UW.LON UW.LTY UW.OFR UW.OMAK UW.OPC UW.PASS 
   UW.WISH UW.YACT 
 
 Filtering commands used:
   hp c 0.02 n 3
   lp c 0.06 n 3
 
 Best Fitting Double Couple
  Mo = 7.59e+22 dyne-cm
  Mw = 4.52 
  Z  = 55 km
  Plane   Strike  Dip  Rake
   NP1      218    80   -165
   NP2      125    75   -10
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   7.59e+22      4     351
    N   0.00e+00     72     249
    P  -7.59e+22     18      82

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     7.22e+22
       Mxy    -2.16e+22
       Mxz     1.75e+21
       Myy    -6.56e+22
       Myz    -2.24e+22
       Mzz    -6.59e+21
                                                     
                                                     
                                                     
                                                     
                     ## T #########                  
                 ######   #############              
              ##########################--           
             ########################------          
           ########################----------        
          --#####################-------------       
         ----###################---------------      
        -------###############------------------     
        ---------############---------------   -     
       -----------#########----------------- P --    
       --------------#####------------------   --    
       ----------------#-------------------------    
       ----------------##------------------------    
        --------------######--------------------     
        ------------###########-----------------     
         ----------###############-------------      
          --------#####################-------       
           ------############################        
             ---###########################          
              --##########################           
                 ######################              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
 -6.59e+21   1.75e+21   2.24e+22 
  1.75e+21   7.22e+22   2.16e+22 
  2.24e+22   2.16e+22  -6.56e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20090130132504/index.html
	


P-wave first motion solution from the University of Washington
20090130 13:24 8.0 km NE of Poulsbo, WA
Lat=47.78550, Lon=-122.56833, Depth=62.7, Md=4.5
Moment magnitude	4.5
Scalar moment	6.90939 * 1022 dyn-cm
Percent double couple	97.0%
Percent CLVD	3.0%
Moment tensor elements (* 1022 dyn-cm) Mxx: 6.71259	
Mxy: -1.3965	Mxz: -0.25936
Mxy: -1.3965	Myy: -6.4187	Myz: -1.5988
Mxz: -0.25936	Myz: -1.5988	Mzz: -0.29381
	Fault Option 1	Fault Option 2
Strike(deg)	128.0	220.0
Dip(deg)	81.0	80.0
Rake(deg)	-10.0	-171.0

Velocity Model:
P Velocity (km/s)	Top of Layer (km)
5.40	0.0
6.38	4.0
6.59	9.0
6.73	16.0
6.86	20.0
6.95	25.0
7.80	41.0
Shear wave velocities are calculated from the Pwave 
velocities using a Vp/Vs ratio of 1.78. 

http://spike.ess.washington.edu/SEIS/EQ_Special/WEBDIR_09013013245p/MT.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 0.06 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    40    80   -10   3.68 0.1774
WVFGRD96    1.0    40    90     0   3.70 0.1934
WVFGRD96    2.0    40    90     0   3.81 0.2479
WVFGRD96    3.0    40    90     0   3.85 0.2697
WVFGRD96    4.0   130    90   -20   3.90 0.2869
WVFGRD96    5.0   310    85    20   3.94 0.3022
WVFGRD96    6.0   130    85   -20   3.96 0.3176
WVFGRD96    7.0   310    90    15   3.98 0.3323
WVFGRD96    8.0   310    90    20   4.02 0.3467
WVFGRD96    9.0   310    90    20   4.04 0.3565
WVFGRD96   10.0   310    90    15   4.05 0.3644
WVFGRD96   11.0   310    90    15   4.07 0.3717
WVFGRD96   12.0   130    85   -15   4.09 0.3795
WVFGRD96   13.0   310    90    15   4.10 0.3871
WVFGRD96   14.0   130    85   -15   4.11 0.3957
WVFGRD96   15.0   130    85   -15   4.13 0.4037
WVFGRD96   16.0   130    85   -10   4.14 0.4120
WVFGRD96   17.0   130    85   -10   4.15 0.4202
WVFGRD96   18.0   130    85   -10   4.16 0.4290
WVFGRD96   19.0   130    85   -10   4.17 0.4375
WVFGRD96   20.0   130    85   -10   4.18 0.4456
WVFGRD96   21.0   130    85   -10   4.20 0.4537
WVFGRD96   22.0   130    85   -10   4.21 0.4614
WVFGRD96   23.0   130    85   -10   4.22 0.4685
WVFGRD96   24.0   130    85    -5   4.23 0.4758
WVFGRD96   25.0   130    85    -5   4.24 0.4829
WVFGRD96   26.0   130    85    -5   4.25 0.4897
WVFGRD96   27.0   130    85    -5   4.26 0.4960
WVFGRD96   28.0   130    85    -5   4.26 0.5018
WVFGRD96   29.0   130    85    -5   4.27 0.5070
WVFGRD96   30.0   130    85    -5   4.28 0.5119
WVFGRD96   31.0   130    85    -5   4.29 0.5169
WVFGRD96   32.0   130    85    -5   4.30 0.5214
WVFGRD96   33.0   130    85    -5   4.31 0.5257
WVFGRD96   34.0   130    80    -5   4.32 0.5298
WVFGRD96   35.0   130    80    -5   4.34 0.5340
WVFGRD96   36.0   130    80    -5   4.35 0.5382
WVFGRD96   37.0   130    80    -5   4.36 0.5426
WVFGRD96   38.0   130    85    -5   4.38 0.5473
WVFGRD96   39.0   130    85    -5   4.39 0.5536
WVFGRD96   40.0   125    75   -10   4.42 0.5606
WVFGRD96   41.0   125    75   -10   4.43 0.5644
WVFGRD96   42.0   125    75   -10   4.44 0.5670
WVFGRD96   43.0   125    75   -10   4.45 0.5691
WVFGRD96   44.0   125    75   -10   4.46 0.5712
WVFGRD96   45.0   125    75   -10   4.47 0.5728
WVFGRD96   46.0   125    75   -10   4.47 0.5739
WVFGRD96   47.0   125    75   -10   4.48 0.5747
WVFGRD96   48.0   125    75   -10   4.49 0.5761
WVFGRD96   49.0   125    75   -10   4.49 0.5772
WVFGRD96   50.0   125    75   -10   4.50 0.5779
WVFGRD96   51.0   125    75   -10   4.50 0.5780
WVFGRD96   52.0   125    75   -10   4.51 0.5788
WVFGRD96   53.0   125    75   -10   4.51 0.5792
WVFGRD96   54.0   125    75   -10   4.52 0.5790
WVFGRD96   55.0   125    75   -10   4.52 0.5797
WVFGRD96   56.0   125    75   -10   4.53 0.5795
WVFGRD96   57.0   125    75   -10   4.53 0.5787
WVFGRD96   58.0   125    75   -10   4.53 0.5789
WVFGRD96   59.0   125    75   -10   4.54 0.5782
WVFGRD96   60.0   125    75   -10   4.54 0.5776
WVFGRD96   61.0   125    75   -10   4.54 0.5771
WVFGRD96   62.0   125    75   -10   4.55 0.5762
WVFGRD96   63.0   125    75   -10   4.55 0.5756
WVFGRD96   64.0   125    75   -10   4.55 0.5740
WVFGRD96   65.0   125    75   -10   4.55 0.5734
WVFGRD96   66.0   125    75   -15   4.55 0.5720
WVFGRD96   67.0   125    75   -15   4.56 0.5718
WVFGRD96   68.0   125    75   -15   4.56 0.5703
WVFGRD96   69.0   125    75   -15   4.56 0.5689

The best solution is

WVFGRD96   55.0   125    75   -10   4.52 0.5797

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 0.06 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=Mon Feb 2 11:40:50 CST 2009

Last Changed 2009/01/30