The ANSS event ID is ok2019ozzu and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ok2019ozzu/executive.
2019/08/02 10:56:18 36.362 -98.153 7.2 3.37 Oklahoma
USGS/SLU Moment Tensor Solution ENS 2019/08/02 10:56:18:0 36.36 -98.15 7.2 3.4 Oklahoma Stations used: AG.X40A GM.IWM01 GS.KAN14 GS.OK029 GS.OK038 N4.T35B N4.TUL3 O2.ARCA O2.CHAN O2.CRES O2.DOVR O2.DRUM O2.MRSH O2.PERK O2.PERY O2.SC11 O2.SC15 O2.SMNL OK.CSTR US.KSU1 US.MIAR US.WMOK Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.04 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 9.77e+20 dyne-cm Mw = 3.26 Z = 6 km Plane Strike Dip Rake NP1 305 75 -20 NP2 40 71 -164 Principal Axes: Axis Value Plunge Azimuth T 9.77e+20 3 353 N 0.00e+00 65 90 P -9.77e+20 25 262 Moment Tensor: (dyne-cm) Component Value Mxx 9.46e+20 Mxy -2.25e+20 Mxz 1.01e+20 Myy -7.79e+20 Myz 3.61e+20 Mzz -1.67e+20 ### T ######## ####### ############ ###########################- ############################-- ##############################---- -------#######################------ -------------#################-------- -----------------#############---------- --------------------#########----------- ------------------------#####------------- --------------------------##-------------- ---- --------------------#-------------- ---- P ------------------######----------- --- ----------------#########--------- ---------------------############------- ------------------################---- ---------------###################-- -----------####################### ------######################## -########################### ###################### ############## Global CMT Convention Moment Tensor: R T P -1.67e+20 1.01e+20 -3.61e+20 1.01e+20 9.46e+20 2.25e+20 -3.61e+20 2.25e+20 -7.79e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20190802105618/index.html |
STK = 305 DIP = 75 RAKE = -20 MW = 3.26 HS = 6.0
The NDK file is 20190802105618.ndk The waveform inversion is preferred.
The following compares this source inversion to those provided by others. The purpose is to look for major differences and also to note slight differences that might be inherent to the processing procedure. For completeness the USGS/SLU solution is repeated from above.
USGS/SLU Moment Tensor Solution ENS 2019/08/02 10:56:18:0 36.36 -98.15 7.2 3.4 Oklahoma Stations used: AG.X40A GM.IWM01 GS.KAN14 GS.OK029 GS.OK038 N4.T35B N4.TUL3 O2.ARCA O2.CHAN O2.CRES O2.DOVR O2.DRUM O2.MRSH O2.PERK O2.PERY O2.SC11 O2.SC15 O2.SMNL OK.CSTR US.KSU1 US.MIAR US.WMOK Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.04 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 9.77e+20 dyne-cm Mw = 3.26 Z = 6 km Plane Strike Dip Rake NP1 305 75 -20 NP2 40 71 -164 Principal Axes: Axis Value Plunge Azimuth T 9.77e+20 3 353 N 0.00e+00 65 90 P -9.77e+20 25 262 Moment Tensor: (dyne-cm) Component Value Mxx 9.46e+20 Mxy -2.25e+20 Mxz 1.01e+20 Myy -7.79e+20 Myz 3.61e+20 Mzz -1.67e+20 ### T ######## ####### ############ ###########################- ############################-- ##############################---- -------#######################------ -------------#################-------- -----------------#############---------- --------------------#########----------- ------------------------#####------------- --------------------------##-------------- ---- --------------------#-------------- ---- P ------------------######----------- --- ----------------#########--------- ---------------------############------- ------------------################---- ---------------###################-- -----------####################### ------######################## -########################### ###################### ############## Global CMT Convention Moment Tensor: R T P -1.67e+20 1.01e+20 -3.61e+20 1.01e+20 9.46e+20 2.25e+20 -3.61e+20 2.25e+20 -7.79e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20190802105618/index.html |
Regional Moment Tensor (Mwr) Moment 1.450e+14 N-m Magnitude 3.37 Mwr Depth 5.0 km Percent DC 96% Half Duration - Catalog US Data Source US 2 Contributor US 2 Nodal Planes Plane Strike Dip Rake NP1 309 86 8 NP2 219 82 176 Principal Axes Axis Value Plunge Azimuth T 1.465e+14 N-m 8 174 N -0.031e+14 N-m 81 333 P -1.434e+14 N-m 3 84 |
Given the availability of digital waveforms for determination of the moment tensor, this section documents the added processing leading to mLg, if appropriate to the region, and ML by application of the respective IASPEI formulae. As a research study, the linear distance term of the IASPEI formula for ML is adjusted to remove a linear distance trend in residuals to give a regionally defined ML. The defined ML uses horizontal component recordings, but the same procedure is applied to the vertical components since there may be some interest in vertical component ground motions. Residual plots versus distance may indicate interesting features of ground motion scaling in some distance ranges. A residual plot of the regionalized magnitude is given as a function of distance and azimuth, since data sets may transcend different wave propagation provinces.
Left: mLg computed using the IASPEI formula. Center: mLg residuals versus epicentral distance ; the values used for the trimmed mean magnitude estimate are indicated.
Right: residuals as a function of distance and azimuth.
Left: ML computed using the IASPEI formula for Horizontal components. Center: 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.
Right: Residuals from new relation as a function of distance and azimuth.
Left: ML computed using the IASPEI formula for Vertical components (research). Center: 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.
Right: Residuals from new relation as a function of distance and azimuth.
![]() |
The focal mechanism was determined using broadband seismic waveforms. The location of the event (star) and the stations used for (red) the waveform inversion are shown in the next figure.
![]() |
|
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's 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 0.04 n 3 lp c 0.10 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 1.0 130 80 30 2.96 0.3414 WVFGRD96 2.0 130 80 15 3.08 0.4472 WVFGRD96 3.0 295 60 -40 3.20 0.4863 WVFGRD96 4.0 300 65 -25 3.21 0.5082 WVFGRD96 5.0 300 65 -25 3.24 0.5173 WVFGRD96 6.0 305 75 -20 3.26 0.5181 WVFGRD96 7.0 305 75 -20 3.29 0.5138 WVFGRD96 8.0 300 65 -25 3.35 0.5030 WVFGRD96 9.0 305 65 -5 3.35 0.4916 WVFGRD96 10.0 305 65 -5 3.37 0.4775 WVFGRD96 11.0 310 60 10 3.40 0.4631 WVFGRD96 12.0 310 60 10 3.42 0.4475 WVFGRD96 13.0 305 60 0 3.43 0.4314 WVFGRD96 14.0 310 60 15 3.44 0.4153 WVFGRD96 15.0 310 60 15 3.45 0.3986 WVFGRD96 16.0 310 60 15 3.46 0.3816 WVFGRD96 17.0 310 60 15 3.47 0.3650 WVFGRD96 18.0 310 60 15 3.47 0.3488 WVFGRD96 19.0 310 55 15 3.49 0.3334 WVFGRD96 20.0 315 55 25 3.50 0.3189 WVFGRD96 21.0 315 50 25 3.52 0.3056 WVFGRD96 22.0 315 55 30 3.52 0.2941 WVFGRD96 23.0 315 50 30 3.53 0.2840 WVFGRD96 24.0 315 50 30 3.53 0.2745 WVFGRD96 25.0 315 45 25 3.54 0.2669 WVFGRD96 26.0 210 80 -35 3.51 0.2643 WVFGRD96 27.0 210 80 -35 3.52 0.2704 WVFGRD96 28.0 210 80 -35 3.52 0.2757 WVFGRD96 29.0 210 80 -35 3.53 0.2797
The best solution is
WVFGRD96 6.0 305 75 -20 3.26 0.5181
The mechanism corresponding to the best fit is
![]() |
|
The best fit as a function of depth is given in the following figure:
![]() |
|
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, the velocity model used in the predictions may not be perfect and the epicentral parameters may be be off. 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 0.04 n 3 lp c 0.10 n 3
![]() |
Figure 3. Waveform comparison for selected depth. Red: observed; Blue - predicted. The time shift with respect to the model prediction is indicated. The percent of fit is also indicated. The time scale is relative to the first trace sample. |
![]() |
Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the waveforms. 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 WUS.model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows (The format is in the model96 format of Computer Programs in Seismology).
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