The ANSS event ID is nc75412157 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/nc75412157/executive.
2026/08/05 22:21:57 40.019 -123.452 4.5 4.4 California
USGS/SLU Moment Tensor Solution
ENS 2026/08/05 22:21:57.0 40.02 -123.45 4.5 4.4 California
Stations used:
BK.ADAM BK.BARR BK.BEVN BK.BIGM BK.BJES BK.BLAS BK.BONV
BK.BRIC BK.DCMP BK.DLIK BK.DMOR BK.ETSL BK.GALB BK.GASB
BK.GCKB BK.GHOP BK.GRPK BK.GTSB BK.GUMB BK.HALS BK.HAYF
BK.HOPS BK.HULL BK.HUNT BK.JCC BK.JEWT BK.KNEE BK.KRUG
BK.LCOW BK.LSIB BK.MNDO BK.ORRS BK.PETL BK.PETY BK.PRDS
BK.PWAY BK.PWOD BK.RBOW BK.RVIT BK.SAGE BK.SCOT BK.SHWD
BK.SPRL BK.SUGR BK.THOM BK.TRIN BK.USAL BK.WEAV BK.WLKR
BK.WTWN NC.GHGB NC.GRT NC.GSX NC.KBL NC.KCT NC.KHBB NC.KHMB
NC.KNR NC.KZE NC.LDBB NC.LDH NC.LRD NC.LTC NC.NMTB NC.NWH
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 = 6.38e+22 dyne-cm
Mw = 4.47
Z = 12 km
Plane Strike Dip Rake
NP1 329 76 -164
NP2 235 75 -15
Principal Axes:
Axis Value Plunge Azimuth
T 6.38e+22 0 102
N 0.00e+00 69 11
P -6.38e+22 21 192
Moment Tensor: (dyne-cm)
Component Value
Mxx -5.04e+22
Mxy -2.42e+22
Mxz 2.09e+22
Myy 5.87e+22
Myz 4.87e+21
Mzz -8.26e+21
--------------
#---------------------
######----------------------
#########---------------------
#############---------------------
###############--------------#######
##################-------#############
####################---#################
####################-###################
##################------##################
################---------#################
##############------------##############
###########----------------############# T
#########------------------############
#######---------------------############
####-----------------------###########
##-------------------------#########
---------------------------#######
---------- ------------#####
--------- P ------------####
------ -------------
--------------
Global CMT Convention Moment Tensor:
R T P
-8.26e+21 2.09e+22 -4.87e+21
2.09e+22 -5.04e+22 2.42e+22
-4.87e+21 2.42e+22 5.87e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20260805222157/index.html
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STK = 235
DIP = 75
RAKE = -15
MW = 4.47
HS = 12.0
The NDK file is 20260805222157.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 2026/08/05 22:21:57.0 40.02 -123.45 4.5 4.4 California
Stations used:
BK.ADAM BK.BARR BK.BEVN BK.BIGM BK.BJES BK.BLAS BK.BONV
BK.BRIC BK.DCMP BK.DLIK BK.DMOR BK.ETSL BK.GALB BK.GASB
BK.GCKB BK.GHOP BK.GRPK BK.GTSB BK.GUMB BK.HALS BK.HAYF
BK.HOPS BK.HULL BK.HUNT BK.JCC BK.JEWT BK.KNEE BK.KRUG
BK.LCOW BK.LSIB BK.MNDO BK.ORRS BK.PETL BK.PETY BK.PRDS
BK.PWAY BK.PWOD BK.RBOW BK.RVIT BK.SAGE BK.SCOT BK.SHWD
BK.SPRL BK.SUGR BK.THOM BK.TRIN BK.USAL BK.WEAV BK.WLKR
BK.WTWN NC.GHGB NC.GRT NC.GSX NC.KBL NC.KCT NC.KHBB NC.KHMB
NC.KNR NC.KZE NC.LDBB NC.LDH NC.LRD NC.LTC NC.NMTB NC.NWH
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 = 6.38e+22 dyne-cm
Mw = 4.47
Z = 12 km
Plane Strike Dip Rake
NP1 329 76 -164
NP2 235 75 -15
Principal Axes:
Axis Value Plunge Azimuth
T 6.38e+22 0 102
N 0.00e+00 69 11
P -6.38e+22 21 192
Moment Tensor: (dyne-cm)
Component Value
Mxx -5.04e+22
Mxy -2.42e+22
Mxz 2.09e+22
Myy 5.87e+22
Myz 4.87e+21
Mzz -8.26e+21
--------------
#---------------------
######----------------------
#########---------------------
#############---------------------
###############--------------#######
##################-------#############
####################---#################
####################-###################
##################------##################
################---------#################
##############------------##############
###########----------------############# T
#########------------------############
#######---------------------############
####-----------------------###########
##-------------------------#########
---------------------------#######
---------- ------------#####
--------- P ------------####
------ -------------
--------------
Global CMT Convention Moment Tensor:
R T P
-8.26e+21 2.09e+22 -4.87e+21
2.09e+22 -5.04e+22 2.42e+22
-4.87e+21 2.42e+22 5.87e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20260805222157/index.html
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Regional Moment Tensor (Mwr) Moment 6.466e+15 N-m Magnitude 4.47 Mwr Depth 13.0 km Percent DC 83% Half Duration - Catalog US Data Source US Contributor US Nodal Planes Plane Strike Dip Rake NP1 143 86 -173 NP2 53 83 -4 Principal Axes Axis Value Plunge Azimuth T 6.726e+15 2 278 N -0.555e+15 82 175 P -6.171e+15 8 8 |
Moment Tensor (Mw) Moment 4.887e+15 N-m Magnitude 4.39 Mw Depth 5.0 km Percent DC 99% Half Duration - Catalog NC Data Source NC Contributor NC Nodal Planes Plane Strike Dip Rake NP1 328 72 -163 NP2 233 74 -19 Principal Axes Axis Value Plunge Azimuth T 4.872e+15 1 281 N 0.029e+15 66 14 P -4.902e+15 24 190 |
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: 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.
Map showing station locations used for computing the ML's. No distinction is made whether the vertical (Z) or horizontal (H) components were used.
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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 +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 1.0 230 85 0 3.92 0.2210
WVFGRD96 2.0 235 85 5 4.08 0.3147
WVFGRD96 3.0 235 75 15 4.16 0.3500
WVFGRD96 4.0 230 75 -25 4.21 0.3796
WVFGRD96 5.0 230 75 -30 4.26 0.4205
WVFGRD96 6.0 230 70 -25 4.30 0.4599
WVFGRD96 7.0 230 70 -20 4.33 0.4924
WVFGRD96 8.0 230 70 -25 4.39 0.5242
WVFGRD96 9.0 230 70 -20 4.41 0.5460
WVFGRD96 10.0 230 70 -20 4.43 0.5590
WVFGRD96 11.0 235 75 -15 4.45 0.5675
WVFGRD96 12.0 235 75 -15 4.47 0.5714
WVFGRD96 13.0 235 80 -10 4.49 0.5713
WVFGRD96 14.0 235 80 -10 4.51 0.5675
WVFGRD96 15.0 235 80 -10 4.52 0.5604
WVFGRD96 16.0 235 80 -10 4.53 0.5509
WVFGRD96 17.0 235 80 -10 4.54 0.5396
WVFGRD96 18.0 235 80 -10 4.55 0.5265
WVFGRD96 19.0 235 80 -10 4.56 0.5126
WVFGRD96 20.0 235 80 -10 4.56 0.4987
WVFGRD96 21.0 235 80 -10 4.57 0.4840
WVFGRD96 22.0 235 80 5 4.57 0.4696
WVFGRD96 23.0 235 80 5 4.57 0.4552
WVFGRD96 24.0 235 80 5 4.58 0.4404
WVFGRD96 25.0 235 80 5 4.58 0.4257
WVFGRD96 26.0 235 80 5 4.58 0.4117
WVFGRD96 27.0 235 80 10 4.58 0.3980
WVFGRD96 28.0 235 80 10 4.58 0.3855
WVFGRD96 29.0 55 90 -10 4.58 0.3723
The best solution is
WVFGRD96 12.0 235 75 -15 4.47 0.5714
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 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 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