2011/04/07 23:11:10 35.250 -92.373 6.1 4.00 Arkansas
USGS Felt map for this earthquake
USGS/SLU Moment Tensor Solution ENS 2011/04/07 23:11:10:0 35.25 -92.37 6.1 4.0 Arkansas Stations used: AG.FCAR AG.LCAR AG.WHAR AG.WLAR NM.MGMO NM.MPH NM.OLIL NM.SIUC NM.SLM NM.UALR NM.USIN NM.X201 TA.O39A TA.TUL1 TA.V34A TA.V35A TA.V36A TA.V37A TA.V38A TA.V39A TA.W34A TA.W40A US.KSU1 US.LRAL US.MIAR Filtering commands used: hp c 0.02 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 4.95e+21 dyne-cm Mw = 3.73 Z = 3 km Plane Strike Dip Rake NP1 25 85 175 NP2 115 85 5 Principal Axes: Axis Value Plunge Azimuth T 4.95e+21 7 340 N 0.00e+00 83 160 P -4.95e+21 0 70 Moment Tensor: (dyne-cm) Component Value Mxx 3.70e+21 Mxy -3.19e+21 Mxz 5.67e+20 Myy -3.78e+21 Myz -2.10e+20 Mzz 7.50e+19 ############ ### T #############--- ###### #############------ ######################-------- #######################----------- ########################------------ -#######################------------- -----###################-------------- P --------###############--------------- ------------############------------------ ----------------#######------------------- --------------------##-------------------- ---------------------###------------------ -------------------########------------- ------------------##############-------- ----------------####################-- --------------###################### ------------###################### ---------##################### -------##################### ---################### ############## Global CMT Convention Moment Tensor: R T P 7.50e+19 5.67e+20 2.10e+20 5.67e+20 3.70e+21 3.19e+21 2.10e+20 3.19e+21 -3.78e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20110407231110/index.html |
STK = 115 DIP = 85 RAKE = 5 MW = 3.73 HS = 3.0
The NDK file is 20110407231110.ndk The waveform inversion is preferred.
The following compares this source inversion to others
USGS/SLU Moment Tensor Solution ENS 2011/04/07 23:11:10:0 35.25 -92.37 6.1 4.0 Arkansas Stations used: AG.FCAR AG.LCAR AG.WHAR AG.WLAR NM.MGMO NM.MPH NM.OLIL NM.SIUC NM.SLM NM.UALR NM.USIN NM.X201 TA.O39A TA.TUL1 TA.V34A TA.V35A TA.V36A TA.V37A TA.V38A TA.V39A TA.W34A TA.W40A US.KSU1 US.LRAL US.MIAR Filtering commands used: hp c 0.02 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 4.95e+21 dyne-cm Mw = 3.73 Z = 3 km Plane Strike Dip Rake NP1 25 85 175 NP2 115 85 5 Principal Axes: Axis Value Plunge Azimuth T 4.95e+21 7 340 N 0.00e+00 83 160 P -4.95e+21 0 70 Moment Tensor: (dyne-cm) Component Value Mxx 3.70e+21 Mxy -3.19e+21 Mxz 5.67e+20 Myy -3.78e+21 Myz -2.10e+20 Mzz 7.50e+19 ############ ### T #############--- ###### #############------ ######################-------- #######################----------- ########################------------ -#######################------------- -----###################-------------- P --------###############--------------- ------------############------------------ ----------------#######------------------- --------------------##-------------------- ---------------------###------------------ -------------------########------------- ------------------##############-------- ----------------####################-- --------------###################### ------------###################### ---------##################### -------##################### ---################### ############## Global CMT Convention Moment Tensor: R T P 7.50e+19 5.67e+20 2.10e+20 5.67e+20 3.70e+21 3.19e+21 2.10e+20 3.19e+21 -3.78e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20110407231110/index.html |
(a) mLg computed using the IASPEI formula; (b) mLg residuals ; the values used for the trimmed mean are indicated.
(a) ML computed using the IASPEI formula for Horizontal components; (b) ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot.
(a) ML computed using the IASPEI formula for Vertical components (research); (b) ML residuals computed using a modified IASPEI formula that accounts for path specific attenuation; the values used for the trimmed mean are indicated. The ML relation used for each figure is given at the bottom of each plot.
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 0.5 285 20 -5 3.86 0.5937 WVFGRD96 1.0 290 80 -20 3.65 0.6547 WVFGRD96 2.0 295 90 -10 3.68 0.7088 WVFGRD96 3.0 115 85 5 3.73 0.7209 WVFGRD96 4.0 115 85 0 3.76 0.7128 WVFGRD96 5.0 295 80 0 3.77 0.6928 WVFGRD96 6.0 295 80 0 3.80 0.6673 WVFGRD96 7.0 295 70 5 3.81 0.6430 WVFGRD96 8.0 295 70 5 3.84 0.6186 WVFGRD96 9.0 295 65 5 3.85 0.5927 WVFGRD96 10.0 295 65 5 3.88 0.5701 WVFGRD96 11.0 295 60 5 3.89 0.5422 WVFGRD96 12.0 295 60 5 3.90 0.5165 WVFGRD96 13.0 295 60 5 3.91 0.4934 WVFGRD96 14.0 295 60 5 3.92 0.4726 WVFGRD96 15.0 295 60 5 3.93 0.4556 WVFGRD96 16.0 295 60 5 3.94 0.4407 WVFGRD96 17.0 295 60 5 3.95 0.4278 WVFGRD96 18.0 295 60 5 3.95 0.4164 WVFGRD96 19.0 295 60 5 3.96 0.4078 WVFGRD96 20.0 295 55 10 3.98 0.3992 WVFGRD96 21.0 295 55 10 3.98 0.3916 WVFGRD96 22.0 295 55 10 3.99 0.3853 WVFGRD96 23.0 295 55 10 3.99 0.3798 WVFGRD96 24.0 295 50 10 4.00 0.3753 WVFGRD96 25.0 295 50 10 4.01 0.3722 WVFGRD96 26.0 290 50 5 4.01 0.3705 WVFGRD96 27.0 290 50 5 4.01 0.3696 WVFGRD96 28.0 290 50 5 4.02 0.3692 WVFGRD96 29.0 290 50 5 4.03 0.3693
The best solution is
WVFGRD96 3.0 115 85 5 3.73 0.7209
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.
Thanks also to the many seismic network operators whose dedication make this effort possible: University of Nevada Reno, University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint Louis University, University of Memphis, Lamont Doherty Earth Observatory, the Iris stations and the Transportable Array of EarthScope.
The CUS model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:
MODEL.01 CUS Model with Q from simple gamma values 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 1.0000 5.0000 2.8900 2.5000 0.172E-02 0.387E-02 0.00 0.00 1.00 1.00 9.0000 6.1000 3.5200 2.7300 0.160E-02 0.363E-02 0.00 0.00 1.00 1.00 10.0000 6.4000 3.7000 2.8200 0.149E-02 0.336E-02 0.00 0.00 1.00 1.00 20.0000 6.7000 3.8700 2.9020 0.000E-04 0.000E-04 0.00 0.00 1.00 1.00 0.0000 8.1500 4.7000 3.3640 0.194E-02 0.431E-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: