The ANSS event ID is tx2025aoxt and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/tx2025aoxt/executive.
2025/01/09 03:52:17 31.666 -104.357 5.9 4.2 Texas
USGS/SLU Moment Tensor Solution ENS 2025/01/09 03:52:17:0 31.67 -104.36 5.9 4.2 Texas Stations used: 4O.BP01 4O.CT01 4O.CT02 4O.CV01 4O.DB02 4O.DB03 4O.DB04 4O.LWM1 4O.LWM3 4O.MID01 4O.MID02 4O.NGL01 4O.NGL02 4O.PR01 4O.SA04 4O.SA06 4O.SA07 4O.SA09 4O.VW01 4O.WB02 4O.WB03 4O.WB04 4O.WB05 4O.WB06 4O.WB07 4O.WB08 4O.WB09 4O.WB10 4O.WB11 4O.WB12 4T.NM01 4T.NM03 TX.ALPN TX.MB08 TX.MB18 TX.MB25 TX.MNHN TX.ODSA TX.PB01 TX.PB03 TX.PB04 TX.PB05 TX.PB06 TX.PB07 TX.PB08 TX.PB09 TX.PB10 TX.PB11 TX.PB12 TX.PB13 TX.PB14 TX.PB16 TX.PB17 TX.PB18 TX.PB19 TX.PB21 TX.PB22 TX.PB23 TX.PB24 TX.PB25 TX.PB26 TX.PB28 TX.PB29 TX.PB30 TX.PB31 TX.PB34 TX.PB37 TX.PB39 TX.PB40 TX.PB43 TX.PB44 TX.PB46 TX.PB47 TX.PB51 TX.PB54 TX.PCOS TX.PECS TX.VHRN Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +40 rtr taper w 0.1 hp c 0.05 n 3 lp c 0.15 n 3 Best Fitting Double Couple Mo = 1.66e+22 dyne-cm Mw = 4.08 Z = 7 km Plane Strike Dip Rake NP1 76 52 -102 NP2 275 40 -75 Principal Axes: Axis Value Plunge Azimuth T 1.66e+22 6 174 N 0.00e+00 10 83 P -1.66e+22 79 296 Moment Tensor: (dyne-cm) Component Value Mxx 1.61e+22 Mxy -1.35e+21 Mxz -3.06e+21 Myy -3.60e+20 Myz 3.04e+21 Mzz -1.58e+22 ############## ###################### ############################ ############################## ###########----------############# ######---------------------######### ####----------------------------###### ###--------------------------------##### #------------------------------------### #---------------- -------------------#-- ----------------- P -------------------##- ----------------- ------------------###- ------------------------------------###### ---------------------------------####### ##----------------------------########## ####---------------------############# ##########------#################### ################################## ############################## ############################ ############ ####### ######## T ### Global CMT Convention Moment Tensor: R T P -1.58e+22 -3.06e+21 -3.04e+21 -3.06e+21 1.61e+22 1.35e+21 -3.04e+21 1.35e+21 -3.60e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20250109035217/index.html |
STK = 275 DIP = 40 RAKE = -75 MW = 4.08 HS = 7.0
The NDK file is 20250109035217.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 2025/01/09 03:52:17:0 31.67 -104.36 5.9 4.2 Texas Stations used: 4O.BP01 4O.CT01 4O.CT02 4O.CV01 4O.DB02 4O.DB03 4O.DB04 4O.LWM1 4O.LWM3 4O.MID01 4O.MID02 4O.NGL01 4O.NGL02 4O.PR01 4O.SA04 4O.SA06 4O.SA07 4O.SA09 4O.VW01 4O.WB02 4O.WB03 4O.WB04 4O.WB05 4O.WB06 4O.WB07 4O.WB08 4O.WB09 4O.WB10 4O.WB11 4O.WB12 4T.NM01 4T.NM03 TX.ALPN TX.MB08 TX.MB18 TX.MB25 TX.MNHN TX.ODSA TX.PB01 TX.PB03 TX.PB04 TX.PB05 TX.PB06 TX.PB07 TX.PB08 TX.PB09 TX.PB10 TX.PB11 TX.PB12 TX.PB13 TX.PB14 TX.PB16 TX.PB17 TX.PB18 TX.PB19 TX.PB21 TX.PB22 TX.PB23 TX.PB24 TX.PB25 TX.PB26 TX.PB28 TX.PB29 TX.PB30 TX.PB31 TX.PB34 TX.PB37 TX.PB39 TX.PB40 TX.PB43 TX.PB44 TX.PB46 TX.PB47 TX.PB51 TX.PB54 TX.PCOS TX.PECS TX.VHRN Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +40 rtr taper w 0.1 hp c 0.05 n 3 lp c 0.15 n 3 Best Fitting Double Couple Mo = 1.66e+22 dyne-cm Mw = 4.08 Z = 7 km Plane Strike Dip Rake NP1 76 52 -102 NP2 275 40 -75 Principal Axes: Axis Value Plunge Azimuth T 1.66e+22 6 174 N 0.00e+00 10 83 P -1.66e+22 79 296 Moment Tensor: (dyne-cm) Component Value Mxx 1.61e+22 Mxy -1.35e+21 Mxz -3.06e+21 Myy -3.60e+20 Myz 3.04e+21 Mzz -1.58e+22 ############## ###################### ############################ ############################## ###########----------############# ######---------------------######### ####----------------------------###### ###--------------------------------##### #------------------------------------### #---------------- -------------------#-- ----------------- P -------------------##- ----------------- ------------------###- ------------------------------------###### ---------------------------------####### ##----------------------------########## ####---------------------############# ##########------#################### ################################## ############################## ############################ ############ ####### ######## T ### Global CMT Convention Moment Tensor: R T P -1.58e+22 -3.06e+21 -3.04e+21 -3.06e+21 1.61e+22 1.35e+21 -3.04e+21 1.35e+21 -3.60e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20250109035217/index.html |
aRegional Moment Tensor (Mwr) Moment 2.297e+15 N-m Magnitude 4.17 Mwr Depth 8.0 km Percent DC 95% Half Duration - Catalog US Data Source US 2 Contributor US 2 Nodal Planes Plane Strike Dip Rake NP1 270 42 -87 NP2 85 48 -93 Principal Axes Axis Value Plunge Azimuth T 2.269e+15 3 177 N 0.055e+15 2 87 P -2.324e+15 86 323 |
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.
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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.
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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'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 +40 rtr taper w 0.1 hp c 0.05 n 3 lp c 0.15 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 1.0 220 60 -20 3.54 0.2031 WVFGRD96 2.0 200 55 -55 3.77 0.2630 WVFGRD96 3.0 10 80 -70 3.87 0.3571 WVFGRD96 4.0 280 40 -65 3.97 0.4706 WVFGRD96 5.0 275 40 -75 4.01 0.5603 WVFGRD96 6.0 275 40 -75 4.04 0.6048 WVFGRD96 7.0 275 40 -75 4.08 0.6197 WVFGRD96 8.0 270 35 -80 4.17 0.6161 WVFGRD96 9.0 265 35 -90 4.19 0.6048 WVFGRD96 10.0 85 55 -90 4.21 0.5776 WVFGRD96 11.0 265 35 -90 4.22 0.5403 WVFGRD96 12.0 85 55 -90 4.24 0.4975 WVFGRD96 13.0 90 55 -80 4.24 0.4551 WVFGRD96 14.0 90 55 -80 4.25 0.4158 WVFGRD96 15.0 325 60 45 4.18 0.3807 WVFGRD96 16.0 325 60 45 4.19 0.3560 WVFGRD96 17.0 325 60 45 4.20 0.3336 WVFGRD96 18.0 325 60 45 4.20 0.3150 WVFGRD96 19.0 325 60 45 4.20 0.3002 WVFGRD96 20.0 330 65 60 4.21 0.2911 WVFGRD96 21.0 330 65 60 4.22 0.2875 WVFGRD96 22.0 330 65 60 4.22 0.2834 WVFGRD96 23.0 330 70 55 4.23 0.2805 WVFGRD96 24.0 70 45 65 4.28 0.2817 WVFGRD96 25.0 70 45 65 4.28 0.2858 WVFGRD96 26.0 65 45 60 4.28 0.2884 WVFGRD96 27.0 65 45 60 4.29 0.2894 WVFGRD96 28.0 65 50 60 4.29 0.2900 WVFGRD96 29.0 60 50 55 4.29 0.2916
The best solution is
WVFGRD96 7.0 275 40 -75 4.08 0.6197
The mechanism corresponding 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, 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 +40 rtr taper w 0.1 hp c 0.05 n 3 lp c 0.15 n 3
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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. |
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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