The ANSS event ID is ak022eza9c3z and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak022eza9c3z/executive.
2022/11/22 08:50:07 61.718 -149.584 43.9 4 Alaska
USGS/SLU Moment Tensor Solution
ENS 2022/11/22 08:50:07:0 61.72 -149.58 43.9 4.0 Alaska
Stations used:
AK.GHO AK.KNK AK.L22K AK.PWL AK.SAW AK.SCM AK.SKN AT.PMR
AV.STLK
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
br c 0.12 0.25 n 4 p 2
Best Fitting Double Couple
Mo = 6.31e+21 dyne-cm
Mw = 3.80
Z = 52 km
Plane Strike Dip Rake
NP1 180 75 -65
NP2 299 29 -148
Principal Axes:
Axis Value Plunge Azimuth
T 6.31e+21 26 251
N 0.00e+00 24 353
P -6.31e+21 53 120
Moment Tensor: (dyne-cm)
Component Value
Mxx -4.50e+14
Mxy 2.58e+21
Mxz 6.90e+20
Myy 2.86e+21
Myz -4.95e+21
Mzz -2.86e+21
------########
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-------#####-###############
--###########--------#########
-#############------------########
###############--------------#######
################----------------######
################-------------------#####
################--------------------####
#################---------------------####
#################----------------------###
#################----------------------###
##### #########----------- --------###
#### T #########----------- P ---------#
#### #########----------- ---------#
################---------------------#
###############---------------------
##############--------------------
#############-----------------
############----------------
##########------------
######--------
Global CMT Convention Moment Tensor:
R T P
-2.86e+21 6.90e+20 4.95e+21
6.90e+20 -4.50e+14 -2.58e+21
4.95e+21 -2.58e+21 2.86e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20221122085007/index.html
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STK = 180
DIP = 75
RAKE = -65
MW = 3.80
HS = 52.0
The NDK file is 20221122085007.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: 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 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 n 3 br c 0.12 0.25 n 4 p 2The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 2.0 155 65 35 3.12 0.3281
WVFGRD96 4.0 50 75 20 3.21 0.3499
WVFGRD96 6.0 25 80 50 3.24 0.4528
WVFGRD96 8.0 35 70 55 3.33 0.5017
WVFGRD96 10.0 35 65 55 3.34 0.5271
WVFGRD96 12.0 35 60 50 3.36 0.5425
WVFGRD96 14.0 35 60 50 3.36 0.5537
WVFGRD96 16.0 30 60 50 3.38 0.5625
WVFGRD96 18.0 30 60 50 3.39 0.5682
WVFGRD96 20.0 215 60 -30 3.47 0.5883
WVFGRD96 22.0 215 60 -35 3.48 0.6095
WVFGRD96 24.0 210 60 -40 3.50 0.6274
WVFGRD96 26.0 215 65 -35 3.52 0.6429
WVFGRD96 28.0 205 65 -45 3.52 0.6550
WVFGRD96 30.0 210 70 -45 3.54 0.6613
WVFGRD96 32.0 185 65 -55 3.57 0.6597
WVFGRD96 34.0 190 70 -50 3.58 0.6577
WVFGRD96 36.0 180 70 -55 3.60 0.6639
WVFGRD96 38.0 180 70 -55 3.62 0.6686
WVFGRD96 40.0 180 75 -65 3.72 0.6595
WVFGRD96 42.0 180 70 -65 3.74 0.6726
WVFGRD96 44.0 180 70 -65 3.76 0.6852
WVFGRD96 46.0 180 70 -65 3.77 0.6954
WVFGRD96 48.0 185 75 -65 3.78 0.7011
WVFGRD96 50.0 180 75 -65 3.79 0.7071
WVFGRD96 52.0 180 75 -65 3.80 0.7083
WVFGRD96 54.0 180 75 -65 3.81 0.7055
WVFGRD96 56.0 185 80 -65 3.82 0.7037
WVFGRD96 58.0 185 80 -65 3.82 0.7024
WVFGRD96 60.0 185 80 -65 3.83 0.6974
WVFGRD96 62.0 180 80 -65 3.84 0.6889
WVFGRD96 64.0 190 85 -65 3.84 0.6829
WVFGRD96 66.0 185 85 -65 3.85 0.6771
WVFGRD96 68.0 185 85 -70 3.86 0.6692
WVFGRD96 70.0 185 85 -70 3.86 0.6591
WVFGRD96 72.0 190 90 -70 3.88 0.6474
WVFGRD96 74.0 5 90 70 3.88 0.6402
WVFGRD96 76.0 185 90 -70 3.89 0.6320
WVFGRD96 78.0 185 90 -70 3.90 0.6223
The best solution is
WVFGRD96 52.0 180 75 -65 3.80 0.7083
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 br c 0.12 0.25 n 4 p 2
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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