USGS/SLU Moment Tensor Solution ENS 2016/09/06 17:48:34:0 36.92 -97.90 5.4 4.1 Oklahoma Stations used: GS.KAN01 GS.KAN05 GS.KAN06 GS.KAN08 GS.KAN09 GS.KAN12 GS.KAN13 GS.KAN16 GS.KAN17 GS.KS20 GS.KS21 GS.OK029 GS.OK032 GS.OK034 GS.OK035 GS.OK038 GS.OK040 GS.OK043 GS.OK044 N4.R32B N4.T35B OK.BCOK OK.CROK OK.FNO OK.U32A TA.TUL1 US.CBKS US.KSU1 Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3 Best Fitting Double Couple Mo = 3.27e+21 dyne-cm Mw = 3.61 Z = 3 km Plane Strike Dip Rake NP1 95 55 -70 NP2 243 40 -116 Principal Axes: Axis Value Plunge Azimuth T 3.27e+21 8 171 N 0.00e+00 16 263 P -3.27e+21 72 56 Moment Tensor: (dyne-cm) Component Value Mxx 3.03e+21 Mxy -6.52e+20 Mxz -9.92e+20 Myy -1.37e+20 Myz -7.31e+20 Mzz -2.89e+21 ############## ###################### ############################ ###################----####### #############-------------------## ###########------------------------- #########----------------------------- ########-------------------------------- ######---------------- --------------- ######----------------- P ---------------- -####------------------ ---------------- --##-------------------------------------- ---#-------------------------------------# --####--------------------------------## --########------------------------###### -##############-------------########## #################################### ################################## ############################## ############################ ############ ####### ######## T ### Global CMT Convention Moment Tensor: R T P -2.89e+21 -9.92e+20 7.31e+20 -9.92e+20 3.03e+21 6.52e+20 7.31e+20 6.52e+20 -1.37e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20160906174834/index.html |
STK = 95 DIP = 55 RAKE = -70 MW = 3.61 HS = 3.0
The NDK file is 20160906174834.ndk The waveform inversion is preferred.
The following compares this source inversion to others
USGS/SLU Moment Tensor Solution ENS 2016/09/06 17:48:34:0 36.92 -97.90 5.4 4.1 Oklahoma Stations used: GS.KAN01 GS.KAN05 GS.KAN06 GS.KAN08 GS.KAN09 GS.KAN12 GS.KAN13 GS.KAN16 GS.KAN17 GS.KS20 GS.KS21 GS.OK029 GS.OK032 GS.OK034 GS.OK035 GS.OK038 GS.OK040 GS.OK043 GS.OK044 N4.R32B N4.T35B OK.BCOK OK.CROK OK.FNO OK.U32A TA.TUL1 US.CBKS US.KSU1 Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3 Best Fitting Double Couple Mo = 3.27e+21 dyne-cm Mw = 3.61 Z = 3 km Plane Strike Dip Rake NP1 95 55 -70 NP2 243 40 -116 Principal Axes: Axis Value Plunge Azimuth T 3.27e+21 8 171 N 0.00e+00 16 263 P -3.27e+21 72 56 Moment Tensor: (dyne-cm) Component Value Mxx 3.03e+21 Mxy -6.52e+20 Mxz -9.92e+20 Myy -1.37e+20 Myz -7.31e+20 Mzz -2.89e+21 ############## ###################### ############################ ###################----####### #############-------------------## ###########------------------------- #########----------------------------- ########-------------------------------- ######---------------- --------------- ######----------------- P ---------------- -####------------------ ---------------- --##-------------------------------------- ---#-------------------------------------# --####--------------------------------## --########------------------------###### -##############-------------########## #################################### ################################## ############################## ############################ ############ ####### ######## T ### Global CMT Convention Moment Tensor: R T P -2.89e+21 -9.92e+20 7.31e+20 -9.92e+20 3.03e+21 6.52e+20 7.31e+20 6.52e+20 -1.37e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20160906174834/index.html |
Regional Moment Tensor (Mwr) Moment 8.532e+14 N-m Magnitude 3.9 Mwr Depth 5.0 km Percent DC 89 % Half Duration – Catalog US Data Source US1 Contributor US1 Nodal Planes Plane Strike Dip Rake NP1 71 45 -97 NP2 261 46 -83 Principal Axes Axis Value Plunge Azimuth T 8.766e+14 N-m 0 346 N -0.488e+14 N-m 5 76 P -8.278e+14 N-m 85 251 |
(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:
cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3The results of this grid search from 0.5 to 19 km depth are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 1.0 100 50 -65 3.38 0.3106 WVFGRD96 2.0 100 65 -75 3.56 0.3889 WVFGRD96 3.0 95 55 -70 3.61 0.4385 WVFGRD96 4.0 80 55 -100 3.62 0.4045 WVFGRD96 5.0 285 35 -70 3.60 0.3609 WVFGRD96 6.0 160 15 -15 3.54 0.3427 WVFGRD96 7.0 175 15 5 3.53 0.3446 WVFGRD96 8.0 80 0 -90 3.61 0.3462 WVFGRD96 9.0 160 -5 -10 3.61 0.3477 WVFGRD96 10.0 75 80 85 3.64 0.3510 WVFGRD96 11.0 75 80 85 3.64 0.3553 WVFGRD96 12.0 75 80 85 3.65 0.3576 WVFGRD96 13.0 75 75 80 3.68 0.3597 WVFGRD96 14.0 75 75 80 3.68 0.3600 WVFGRD96 15.0 75 75 80 3.69 0.3591 WVFGRD96 16.0 75 80 80 3.69 0.3576 WVFGRD96 17.0 75 80 80 3.70 0.3554 WVFGRD96 18.0 75 80 80 3.71 0.3526 WVFGRD96 19.0 75 80 80 3.72 0.3491 WVFGRD96 20.0 75 80 75 3.73 0.3454 WVFGRD96 21.0 75 80 75 3.75 0.3407 WVFGRD96 22.0 75 85 75 3.74 0.3354 WVFGRD96 23.0 75 85 75 3.75 0.3304 WVFGRD96 24.0 250 90 -70 3.76 0.3217 WVFGRD96 25.0 250 90 -70 3.77 0.3164 WVFGRD96 26.0 265 40 90 3.77 0.3164 WVFGRD96 27.0 275 40 110 3.79 0.3222 WVFGRD96 28.0 70 55 75 3.80 0.3266 WVFGRD96 29.0 65 60 65 3.82 0.3296
The best solution is
WVFGRD96 3.0 95 55 -70 3.61 0.4385
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
cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 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 WUS.model 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
Here we tabulate the reasons for not using certain digital data sets
The following stations did not have a valid response files: