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.
The ANSS event ID is ok2024cish and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ok2024cish/executive.
2024/02/03 05:24:28 35.534 -96.764 3.0 5.1 Oklahoma
USGS/SLU Moment Tensor Solution
ENS 2024/02/03 05:24:28:0 35.53 -96.76 3.0 5.1 Oklahoma
Stations used:
AG.FCAR AG.HHAR AG.U40A AG.WHAR AG.X40A GM.IWM01 GS.ADOK
GS.KS28 GS.KS29 GS.OK051 GS.OK052 N4.ABTX N4.R32B N4.S39B
N4.T35B N4.TUL3 N4.U38B NM.MGMO O2.ARC2 O2.CALT O2.CRES
O2.DOVR O2.DRIP O2.DUST O2.ERNS O2.GORE O2.POCA O2.PW05
O2.PW18 O2.SC04 O2.SC06 O2.SC07 O2.SC13 O2.SC16 O2.SMNL
O2.STIG O2.YUKO OK.BLOK OK.CROK OK.FNO OK.HTCH OK.MOOR
OK.QUOK OK.TISH OK.W35A OK.X34A TX.APMT TX.DRZT TX.PLPT
TX.TREL US.KSU1 US.MIAR US.WMOK
Filtering commands used:
cut o DIST/3.3 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
Best Fitting Double Couple
Mo = 2.72e+23 dyne-cm
Mw = 4.89
Z = 3 km
Plane Strike Dip Rake
NP1 215 90 -175
NP2 125 85 0
Principal Axes:
Axis Value Plunge Azimuth
T 2.72e+23 4 350
N 0.00e+00 85 215
P -2.72e+23 4 80
Moment Tensor: (dyne-cm)
Component Value
Mxx 2.55e+23
Mxy -9.28e+22
Mxz 1.36e+22
Myy -2.55e+23
Myz -1.94e+22
Mzz 0.00e+00
## T #########
###### #############
#########################---
#########################-----
#########################---------
---######################-----------
------###################-------------
---------################-------------
------------###########--------------- P
---------------########----------------
-----------------#####--------------------
------------------------------------------
-------------------####-------------------
-----------------########---------------
---------------############-------------
-------------################---------
-----------#####################----
---------#########################
-----#########################
---#########################
######################
##############
Global CMT Convention Moment Tensor:
R T P
0.00e+00 1.36e+22 1.94e+22
1.36e+22 2.55e+23 9.28e+22
1.94e+22 9.28e+22 -2.55e+23
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20240203052428/index.html
|
STK = 125
DIP = 85
RAKE = 0
MW = 4.89
HS = 3.0
The NDK file is 20240203052428.ndk The waveform inversion is preferred.
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 -40 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 1.0 300 90 0 4.67 0.3805
WVFGRD96 2.0 120 80 -5 4.81 0.4798
WVFGRD96 3.0 125 85 0 4.89 0.5237
WVFGRD96 4.0 125 85 5 4.93 0.5156
WVFGRD96 5.0 125 85 10 4.96 0.4872
WVFGRD96 6.0 125 85 15 4.98 0.4668
WVFGRD96 7.0 125 85 15 5.00 0.4561
WVFGRD96 8.0 305 90 -20 5.04 0.4470
WVFGRD96 9.0 125 85 20 5.05 0.4290
WVFGRD96 10.0 305 90 -20 5.06 0.4075
WVFGRD96 11.0 125 85 15 5.08 0.3916
WVFGRD96 12.0 125 85 15 5.09 0.3738
WVFGRD96 13.0 125 85 15 5.09 0.3562
WVFGRD96 14.0 125 85 15 5.10 0.3392
WVFGRD96 15.0 300 85 -15 5.10 0.3225
WVFGRD96 16.0 300 85 -15 5.11 0.3082
WVFGRD96 17.0 120 90 15 5.11 0.2928
WVFGRD96 18.0 300 85 -20 5.11 0.2808
WVFGRD96 19.0 300 85 -15 5.12 0.2681
WVFGRD96 20.0 300 80 -15 5.13 0.2566
WVFGRD96 21.0 300 80 -15 5.13 0.2466
WVFGRD96 22.0 300 80 -15 5.14 0.2376
WVFGRD96 23.0 210 80 -10 5.14 0.2298
WVFGRD96 24.0 210 80 -10 5.15 0.2340
WVFGRD96 25.0 210 80 -10 5.16 0.2376
WVFGRD96 26.0 210 80 -10 5.17 0.2407
WVFGRD96 27.0 210 90 0 5.18 0.2435
WVFGRD96 28.0 210 90 0 5.18 0.2476
WVFGRD96 29.0 30 75 5 5.19 0.2516
The best solution is
WVFGRD96 3.0 125 85 0 4.89 0.5237
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 -40 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 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