Location

2012/06/08 03:44:28 41.354 20.877 10.0 4.5 Macedonia

Arrival Times (from USGS)

Felt Map

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2012/06/08 03:44:28:0 41.35 20.88 10.0 4.5 Macedonia Stations used: GE.PSZ GE.TIRR HL.ITM HT.AGG HT.ALN HT.FNA HT.LIT HU.SOP HU.TRPA MN.BLY MN.DIVS MN.PDG MN.TIR MN.VTS RO.BUR31 RO.BZS Filtering commands used: hp c 0.02 n 3 lp c 0.05 n 3 Best Fitting Double Couple Mo = 2.79e+22 dyne-cm Mw = 4.23 Z = 9 km Plane Strike Dip Rake NP1 222 56 -100 NP2 60 35 -75 Principal Axes: Axis Value Plunge Azimuth T 2.79e+22 11 319 N 0.00e+00 9 228 P -2.79e+22 76 100 Moment Tensor: (dyne-cm) Component Value Mxx 1.54e+22 Mxy -1.30e+22 Mxz 5.02e+21 Myy 9.90e+21 Myz -9.72e+21 Mzz -2.53e+22 ############## ###################### ######################### # T ################---------- ### ############---------------- #################------------------- ###############----------------------# ##############------------------------## #############-------------------------## ############---------------------------### ###########------------ ------------#### ##########------------- P ------------#### #########-------------- -----------##### #######----------------------------##### #######--------------------------####### #####-------------------------######## ####-----------------------######### -##--------------------########### -##--------------############# ############################ ###################### ############## Global CMT Convention Moment Tensor: R T P -2.53e+22 5.02e+21 9.72e+21 5.02e+21 1.54e+22 1.30e+22 9.72e+21 1.30e+22 9.90e+21 Details of the solution is found at http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20120608034428/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 = 60
      DIP = 35
     RAKE = -75
       MW = 4.23
       HS = 9.0

The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others

SLU

USGS/SLU Moment Tensor Solution ENS 2012/06/08 03:44:28:0 41.35 20.88 10.0 4.5 Macedonia Stations used: GE.PSZ GE.TIRR HL.ITM HT.AGG HT.ALN HT.FNA HT.LIT HU.SOP HU.TRPA MN.BLY MN.DIVS MN.PDG MN.TIR MN.VTS RO.BUR31 RO.BZS Filtering commands used: hp c 0.02 n 3 lp c 0.05 n 3 Best Fitting Double Couple Mo = 2.79e+22 dyne-cm Mw = 4.23 Z = 9 km Plane Strike Dip Rake NP1 222 56 -100 NP2 60 35 -75 Principal Axes: Axis Value Plunge Azimuth T 2.79e+22 11 319 N 0.00e+00 9 228 P -2.79e+22 76 100 Moment Tensor: (dyne-cm) Component Value Mxx 1.54e+22 Mxy -1.30e+22 Mxz 5.02e+21 Myy 9.90e+21 Myz -9.72e+21 Mzz -2.53e+22 ############## ###################### ######################### # T ################---------- ### ############---------------- #################------------------- ###############----------------------# ##############------------------------## #############-------------------------## ############---------------------------### ###########------------ ------------#### ##########------------- P ------------#### #########-------------- -----------##### #######----------------------------##### #######--------------------------####### #####-------------------------######## ####-----------------------######### -##--------------------########### -##--------------############# ############################ ###################### ############## Global CMT Convention Moment Tensor: R T P -2.53e+22 5.02e+21 9.72e+21 5.02e+21 1.54e+22 1.30e+22 9.72e+21 1.30e+22 9.90e+21 Details of the solution is found at http://www.eas.slu.edu/Earthquake_Center/MECH.NA/20120608034428/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 0.05 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    75    50   -40   3.86 0.3633
WVFGRD96    1.0   285    80    -5   3.86 0.3733
WVFGRD96    2.0    95    35   -10   4.07 0.4355
WVFGRD96    3.0    95    35   -10   4.11 0.5074
WVFGRD96    4.0    90    35   -20   4.12 0.5507
WVFGRD96    5.0    90    40   -20   4.11 0.5778
WVFGRD96    6.0    90    45   -20   4.12 0.5928
WVFGRD96    7.0    90    45   -25   4.13 0.6015
WVFGRD96    8.0    75    35   -50   4.20 0.6247
WVFGRD96    9.0    60    35   -75   4.23 0.6279
WVFGRD96   10.0    65    40   -65   4.22 0.6268
WVFGRD96   11.0    55    40   -80   4.23 0.6221
WVFGRD96   12.0    55    40   -80   4.23 0.6066
WVFGRD96   13.0   240    55   -70   4.22 0.5897
WVFGRD96   14.0   100    60    10   4.18 0.5751
WVFGRD96   15.0   100    65    15   4.19 0.5699
WVFGRD96   16.0   100    65    15   4.20 0.5635
WVFGRD96   17.0   100    65    15   4.20 0.5564
WVFGRD96   18.0   100    70    20   4.21 0.5490
WVFGRD96   19.0   100    70    20   4.22 0.5422
WVFGRD96   20.0   100    70    20   4.22 0.5351
WVFGRD96   21.0   100    70    20   4.23 0.5271
WVFGRD96   22.0   100    70    20   4.23 0.5194
WVFGRD96   23.0   100    70    20   4.24 0.5116
WVFGRD96   24.0   105    70    25   4.24 0.5040
WVFGRD96   25.0   105    70    25   4.25 0.4967
WVFGRD96   26.0   105    70    25   4.25 0.4893
WVFGRD96   27.0   105    70    25   4.26 0.4815
WVFGRD96   28.0   105    70    25   4.26 0.4735
WVFGRD96   29.0   105    70    25   4.27 0.4652

The best solution is

WVFGRD96    9.0    60    35   -75   4.23 0.6279

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:

The origin time and epicentral distance are incorrect
The velocity model used for the inversion is incorrect
The velocity model used to define the P-arrival time is not the same as the velocity model used for the waveform inversion (assuming that the initial trace alignment is based on the P arrival time)

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=Fri Jun 8 03:42:42 MDT 2012

Last Changed 2012/06/08