Location

2015/10/10 22:03:05 36.008 -96.819 2.0 4.5 Oklahoma

Arrival Times (from USGS)

Felt Map

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2015/10/10 22:03:05:0 36.01 -96.82 2.0 4.5 Oklahoma Stations used: AG.FCAR AG.LCAR AG.WHAR AG.WLAR GS.KAN01 GS.KAN06 GS.KAN08 GS.KAN10 GS.KAN11 GS.KAN12 GS.KAN14 GS.KAN16 GS.KAN17 GS.KS20 GS.KS21 GS.OK025 GS.OK029 GS.OK032 IU.CCM N4.237B N4.N33B N4.P38B N4.R32B N4.S39B N4.T35B N4.T42B N4.U38B N4.Z35B N4.Z38B NM.MGMO OK.BCOK OK.CCOK OK.CHOK OK.CROK OK.FNO OK.LOOK OK.OKCFA OK.U32A OK.X34A OK.X37A TA.ABTX TA.TUL1 TA.U40A TA.W39A TA.WHTX TA.X40A US.CBKS US.KSU1 US.MIAR US.WMOK Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +70 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.07 n 3 Best Fitting Double Couple Mo = 2.60e+22 dyne-cm Mw = 4.21 Z = 3 km Plane Strike Dip Rake NP1 60 90 -175 NP2 330 85 0 Principal Axes: Axis Value Plunge Azimuth T 2.60e+22 4 195 N 0.00e+00 85 60 P -2.60e+22 4 285 Moment Tensor: (dyne-cm) Component Value Mxx 2.24e+22 Mxy 1.30e+22 Mxz -1.96e+21 Myy -2.24e+22 Myz 1.13e+21 Mzz 0.00e+00 ############## -##################### -----####################### --------###################### -----------####################### -------------####################### ---------------##################----- ----------------#############--------- P -----------------#########------------ ------------------#####---------------- ----------------------#------------------- -------------------####------------------- ----------------########------------------ ------------############---------------- ---------################--------------- -----####################------------- #########################----------- #########################--------- ########################------ #######################----- #### ##############- T ########### Global CMT Convention Moment Tensor: R T P 0.00e+00 -1.96e+21 -1.13e+21 -1.96e+21 2.24e+22 -1.30e+22 -1.13e+21 -1.30e+22 -2.24e+22 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20151010220305/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 = 330
      DIP = 85
     RAKE = 0
       MW = 4.21
       HS = 3.0

The NDK file is 20151010220305.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others

SLU USGSMT

USGS/SLU Moment Tensor Solution ENS 2015/10/10 22:03:05:0 36.01 -96.82 2.0 4.5 Oklahoma Stations used: AG.FCAR AG.LCAR AG.WHAR AG.WLAR GS.KAN01 GS.KAN06 GS.KAN08 GS.KAN10 GS.KAN11 GS.KAN12 GS.KAN14 GS.KAN16 GS.KAN17 GS.KS20 GS.KS21 GS.OK025 GS.OK029 GS.OK032 IU.CCM N4.237B N4.N33B N4.P38B N4.R32B N4.S39B N4.T35B N4.T42B N4.U38B N4.Z35B N4.Z38B NM.MGMO OK.BCOK OK.CCOK OK.CHOK OK.CROK OK.FNO OK.LOOK OK.OKCFA OK.U32A OK.X34A OK.X37A TA.ABTX TA.TUL1 TA.U40A TA.W39A TA.WHTX TA.X40A US.CBKS US.KSU1 US.MIAR US.WMOK Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +70 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.07 n 3 Best Fitting Double Couple Mo = 2.60e+22 dyne-cm Mw = 4.21 Z = 3 km Plane Strike Dip Rake NP1 60 90 -175 NP2 330 85 0 Principal Axes: Axis Value Plunge Azimuth T 2.60e+22 4 195 N 0.00e+00 85 60 P -2.60e+22 4 285 Moment Tensor: (dyne-cm) Component Value Mxx 2.24e+22 Mxy 1.30e+22 Mxz -1.96e+21 Myy -2.24e+22 Myz 1.13e+21 Mzz 0.00e+00 ############## -##################### -----####################### --------###################### -----------####################### -------------####################### ---------------##################----- ----------------#############--------- P -----------------#########------------ ------------------#####---------------- ----------------------#------------------- -------------------####------------------- ----------------########------------------ ------------############---------------- ---------################--------------- -----####################------------- #########################----------- #########################--------- ########################------ #######################----- #### ##############- T ########### Global CMT Convention Moment Tensor: R T P 0.00e+00 -1.96e+21 -1.13e+21 -1.96e+21 2.24e+22 -1.30e+22 -1.13e+21 -1.30e+22 -2.24e+22 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20151010220305/index.html

Regional Moment Tensor (Mwr) Moment 4.123e+15 N-m Magnitude 4.34 Depth 5.0 km Percent DC 85% Half Duration – Catalog US (us10003mqq) Data Source US1 Contributor US1 Nodal Planes Plane Strike Dip Rake NP1 331 81 -26 NP2 65 65 -170 Principal Axes Axis Value Plunge Azimuth T 3.959 11 21 N 0.310 63 132 P -4.269 25 286

Magnitudes

mLg Magnitude

(a) mLg computed using the IASPEI formula; (b) mLg residuals ; the values used for the trimmed mean are indicated.

ML Magnitude

(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.

Context

The next figure presents the focal mechanism for this earthquake (red) in the context of other events (blue) in the SLU Moment Tensor Catalog which are within ± 0.5 degrees of the new event. This comparison is shown in the left panel of the figure. The right panel shows the inferred direction of maximum compressive stress and the type of faulting (green is strike-slip, red is normal, blue is thrust; oblique is shown by a combination of colors).

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:

cut o DIST/3.3 -30 o DIST/3.3 +70
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.07 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    1.0   330    85     0   4.05 0.4347
WVFGRD96    2.0   330    85    -5   4.16 0.5229
WVFGRD96    3.0   330    85     0   4.21 0.5494
WVFGRD96    4.0   330    85     0   4.24 0.5481
WVFGRD96    5.0   330    80     5   4.27 0.5339
WVFGRD96    6.0   330    75     5   4.29 0.5182
WVFGRD96    7.0   330    75     5   4.31 0.5039
WVFGRD96    8.0   330    70     5   4.34 0.4894
WVFGRD96    9.0   330    70     5   4.35 0.4716
WVFGRD96   10.0   330    70    10   4.36 0.4569
WVFGRD96   11.0   330    70    10   4.37 0.4435
WVFGRD96   12.0   330    70    10   4.38 0.4309
WVFGRD96   13.0   330    70    10   4.38 0.4195
WVFGRD96   14.0   330    70    10   4.39 0.4083
WVFGRD96   15.0   330    70    10   4.40 0.3976
WVFGRD96   16.0   330    75    10   4.40 0.3876
WVFGRD96   17.0   330    75    10   4.41 0.3778
WVFGRD96   18.0   330    75    10   4.42 0.3683
WVFGRD96   19.0   330    75    10   4.42 0.3591
WVFGRD96   20.0   330    75    10   4.43 0.3505
WVFGRD96   21.0   330    75    10   4.43 0.3426
WVFGRD96   22.0   330    75    10   4.44 0.3350
WVFGRD96   23.0   330    75    10   4.44 0.3275
WVFGRD96   24.0   330    75    10   4.45 0.3203
WVFGRD96   25.0   330    70     5   4.46 0.3141
WVFGRD96   26.0   330    70     5   4.46 0.3090
WVFGRD96   27.0   330    70     5   4.47 0.3043
WVFGRD96   28.0   330    70     5   4.48 0.3003
WVFGRD96   29.0   330    70     5   4.48 0.2969

The best solution is

WVFGRD96    3.0   330    85     0   4.21 0.5494

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

cut o DIST/3.3 -30 o DIST/3.3 +70
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.07 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.

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

Acknowledgements

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.

Velocity Model

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

Quality Control

Here we tabulate the reasons for not using certain digital data sets

The following stations did not have a valid response files:

Last Changed Mon Dec 7 00:08:11 CST 2015