2011/12/01 14:01:20 39.932 16.002 6.8 3.3 Italy
USGS Felt map for this earthquake
SLU Moment Tensor Solution ENS 2011/12/01 14:01:20:0 39.93 16.00 6.8 3.3 Italy Stations used: IV.BULG IV.CMPR IV.MGR IV.MTSN IV.SALB IV.SIRI MN.CUC Filtering commands used: hp c 0.02 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 1.95e+21 dyne-cm Mw = 3.46 Z = 5 km Plane Strike Dip Rake NP1 327 56 -100 NP2 165 35 -75 Principal Axes: Axis Value Plunge Azimuth T 1.95e+21 11 64 N 0.00e+00 9 333 P -1.95e+21 76 205 Moment Tensor: (dyne-cm) Component Value Mxx 2.63e+20 Mxy 6.93e+20 Mxz 5.66e+20 Myy 1.51e+21 Myz 5.15e+20 Mzz -1.77e+21 -############# ---################### ####-----################### ####---------################# #####-------------################ #####----------------############ ######-----------------########### T # ######--------------------######### ## ######---------------------############# #######----------------------############# #######-----------------------############ #######----------- ----------########### ########---------- P -----------########## #######---------- -----------######### ########------------------------######## ########-----------------------####### ########----------------------###### ########---------------------##### ########-------------------### #########-----------------## ########-------------- #########----- Global CMT Convention Moment Tensor: R T P -1.77e+21 5.66e+20 -5.15e+20 5.66e+20 2.63e+20 -6.93e+20 -5.15e+20 -6.93e+20 1.51e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.IT/20111201140120/index.html |
STK = 165 DIP = 35 RAKE = -75 MW = 3.46 HS = 5.0
The waveform inversion is preferred.
The following compares this source inversion to others
SLU Moment Tensor Solution ENS 2011/12/01 14:01:20:0 39.93 16.00 6.8 3.3 Italy Stations used: IV.BULG IV.CMPR IV.MGR IV.MTSN IV.SALB IV.SIRI MN.CUC Filtering commands used: hp c 0.02 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 1.95e+21 dyne-cm Mw = 3.46 Z = 5 km Plane Strike Dip Rake NP1 327 56 -100 NP2 165 35 -75 Principal Axes: Axis Value Plunge Azimuth T 1.95e+21 11 64 N 0.00e+00 9 333 P -1.95e+21 76 205 Moment Tensor: (dyne-cm) Component Value Mxx 2.63e+20 Mxy 6.93e+20 Mxz 5.66e+20 Myy 1.51e+21 Myz 5.15e+20 Mzz -1.77e+21 -############# ---################### ####-----################### ####---------################# #####-------------################ #####----------------############ ######-----------------########### T # ######--------------------######### ## ######---------------------############# #######----------------------############# #######-----------------------############ #######----------- ----------########### ########---------- P -----------########## #######---------- -----------######### ########------------------------######## ########-----------------------####### ########----------------------###### ########---------------------##### ########-------------------### #########-----------------## ########-------------- #########----- Global CMT Convention Moment Tensor: R T P -1.77e+21 5.66e+20 -5.15e+20 5.66e+20 2.63e+20 -6.93e+20 -5.15e+20 -6.93e+20 1.51e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.IT/20111201140120/index.html |
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.
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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 0.10 n 3The results of this grid search from 0.5 to 19 km depth are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 1.0 185 40 -45 3.21 0.4845 WVFGRD96 2.0 170 30 -60 3.34 0.5505 WVFGRD96 3.0 175 30 -55 3.36 0.5866 WVFGRD96 4.0 180 35 -55 3.37 0.5868 WVFGRD96 5.0 165 35 -75 3.46 0.6225 WVFGRD96 6.0 25 70 25 3.34 0.5781 WVFGRD96 7.0 25 70 25 3.34 0.5625 WVFGRD96 8.0 25 75 -15 3.35 0.5521 WVFGRD96 9.0 25 75 -15 3.37 0.5435 WVFGRD96 10.0 25 75 -15 3.38 0.5332 WVFGRD96 11.0 25 80 -15 3.38 0.5221 WVFGRD96 12.0 25 80 -15 3.39 0.5109 WVFGRD96 13.0 25 80 -15 3.40 0.4998 WVFGRD96 14.0 25 80 -15 3.41 0.4871 WVFGRD96 15.0 15 80 -20 3.44 0.4821 WVFGRD96 16.0 15 80 -20 3.45 0.4771 WVFGRD96 17.0 15 85 -20 3.45 0.4727 WVFGRD96 18.0 15 85 -20 3.46 0.4716 WVFGRD96 19.0 15 85 -20 3.47 0.4683 WVFGRD96 20.0 10 85 -20 3.49 0.4683 WVFGRD96 21.0 190 90 20 3.50 0.4646 WVFGRD96 22.0 10 85 -20 3.51 0.4653 WVFGRD96 23.0 190 90 20 3.51 0.4642 WVFGRD96 24.0 190 85 20 3.52 0.4671 WVFGRD96 25.0 190 85 20 3.53 0.4686 WVFGRD96 26.0 185 90 20 3.56 0.4703 WVFGRD96 27.0 185 85 20 3.57 0.4708 WVFGRD96 28.0 185 85 20 3.59 0.4703 WVFGRD96 29.0 185 85 15 3.61 0.4720
The best solution is
WVFGRD96 5.0 165 35 -75 3.46 0.6225
The mechanism correspond to the best fit is
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The best fit as a function of depth is given in the following figure:
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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 0.10 n 3
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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:
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.
The nnCIA used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:
MODEL.01 C.It. A. Di Luzio et al Earth Plan Lettrs 280 (2009) 1-12 Fig 5. 7-8 MODEL/SURF3 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 1.5000 3.7497 2.1436 2.2753 0.500E-02 0.100E-01 0.00 0.00 1.00 1.00 3.0000 4.9399 2.8210 2.4858 0.500E-02 0.100E-01 0.00 0.00 1.00 1.00 3.0000 6.0129 3.4336 2.7058 0.500E-02 0.100E-01 0.00 0.00 1.00 1.00 7.0000 5.5516 3.1475 2.6093 0.167E-02 0.333E-02 0.00 0.00 1.00 1.00 15.0000 5.8805 3.3583 2.6770 0.167E-02 0.333E-02 0.00 0.00 1.00 1.00 6.0000 7.1059 4.0081 3.0002 0.167E-02 0.333E-02 0.00 0.00 1.00 1.00 8.0000 7.1000 3.9864 3.0120 0.167E-02 0.333E-02 0.00 0.00 1.00 1.00 0.0000 7.9000 4.4036 3.2760 0.167E-02 0.333E-02 0.00 0.00 1.00 1.00
Here we tabulate the reasons for not using certain digital data sets
The following stations did not have a valid response files:
DATE=Thu Dec 1 09:04:20 CST 2011