The ANSS event ID is ak02255f18x6 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak02255f18x6/executive.
2022/04/22 11:49:49 61.503 -149.869 42.7 4 Alaska
USGS/SLU Moment Tensor Solution
ENS 2022/04/22 11:49:49:0 61.50 -149.87 42.7 4.0 Alaska
Stations used:
AK.CUT AK.GHO AK.L22K AK.RC01 AK.SAW AK.SKN AT.PMR
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 0.07 n 3
Best Fitting Double Couple
Mo = 1.22e+22 dyne-cm
Mw = 3.99
Z = 52 km
Plane Strike Dip Rake
NP1 210 55 -65
NP2 351 42 -121
Principal Axes:
Axis Value Plunge Azimuth
T 1.22e+22 7 282
N 0.00e+00 20 15
P -1.22e+22 69 175
Moment Tensor: (dyne-cm)
Component Value
Mxx -1.06e+21
Mxy -2.38e+21
Mxz 4.44e+21
Myy 1.14e+22
Myz -1.79e+21
Mzz -1.04e+22
#######-------
##############-----###
#################--#########
################------########
###############----------#########
###############------------#########
##############---------------#########
###########-----------------#########
T #########-------------------#########
# ########---------------------#########
############---------------------#########
###########----------------------#########
##########---------- ----------#########
#########---------- P ----------########
########----------- ----------########
#######-----------------------########
######-----------------------#######
#####----------------------#######
###---------------------######
###-------------------######
------------------####
------------##
Global CMT Convention Moment Tensor:
R T P
-1.04e+22 4.44e+21 1.79e+21
4.44e+21 -1.06e+21 2.38e+21
1.79e+21 2.38e+21 1.14e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20220422114949/index.html
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STK = 210
DIP = 55
RAKE = -65
MW = 3.99
HS = 52.0
The NDK file is 20220422114949.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 0.07 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 2.0 5 40 90 3.42 0.4540
WVFGRD96 4.0 155 60 55 3.44 0.4098
WVFGRD96 6.0 310 70 -30 3.44 0.4363
WVFGRD96 8.0 255 35 40 3.55 0.4800
WVFGRD96 10.0 245 40 30 3.57 0.5217
WVFGRD96 12.0 245 45 30 3.60 0.5486
WVFGRD96 14.0 240 50 20 3.61 0.5664
WVFGRD96 16.0 240 50 20 3.63 0.5784
WVFGRD96 18.0 230 50 -20 3.65 0.5875
WVFGRD96 20.0 230 50 -20 3.67 0.5983
WVFGRD96 22.0 230 50 -20 3.69 0.6060
WVFGRD96 24.0 225 50 -30 3.71 0.6158
WVFGRD96 26.0 225 55 -30 3.72 0.6235
WVFGRD96 28.0 225 55 -30 3.74 0.6289
WVFGRD96 30.0 220 55 -40 3.76 0.6298
WVFGRD96 32.0 220 55 -45 3.78 0.6281
WVFGRD96 34.0 220 65 -35 3.78 0.6337
WVFGRD96 36.0 215 65 -40 3.81 0.6459
WVFGRD96 38.0 220 60 -40 3.82 0.6654
WVFGRD96 40.0 215 55 -55 3.91 0.6694
WVFGRD96 42.0 215 55 -55 3.93 0.6889
WVFGRD96 44.0 210 55 -60 3.95 0.7043
WVFGRD96 46.0 210 55 -60 3.96 0.7170
WVFGRD96 48.0 210 55 -60 3.97 0.7241
WVFGRD96 50.0 210 55 -65 3.98 0.7286
WVFGRD96 52.0 210 55 -65 3.99 0.7296
WVFGRD96 54.0 210 55 -65 3.99 0.7268
WVFGRD96 56.0 210 55 -65 4.00 0.7232
WVFGRD96 58.0 210 60 -65 4.00 0.7209
WVFGRD96 60.0 210 60 -65 4.00 0.7176
WVFGRD96 62.0 210 60 -65 4.00 0.7133
WVFGRD96 64.0 210 60 -65 4.00 0.7084
WVFGRD96 66.0 210 60 -65 4.00 0.7028
WVFGRD96 68.0 210 60 -65 4.01 0.6962
WVFGRD96 70.0 210 60 -65 4.01 0.6909
WVFGRD96 72.0 210 60 -65 4.01 0.6848
WVFGRD96 74.0 215 65 -65 4.01 0.6786
WVFGRD96 76.0 215 65 -65 4.01 0.6733
WVFGRD96 78.0 215 65 -65 4.01 0.6680
WVFGRD96 80.0 215 65 -65 4.01 0.6622
WVFGRD96 82.0 215 65 -65 4.02 0.6575
WVFGRD96 84.0 215 65 -65 4.02 0.6525
WVFGRD96 86.0 215 65 -65 4.02 0.6462
WVFGRD96 88.0 215 65 -65 4.02 0.6406
WVFGRD96 90.0 215 65 -65 4.03 0.6354
WVFGRD96 92.0 215 65 -65 4.03 0.6303
WVFGRD96 94.0 220 65 -70 4.04 0.6244
WVFGRD96 96.0 220 65 -70 4.04 0.6190
WVFGRD96 98.0 220 65 -70 4.05 0.6140
The best solution is
WVFGRD96 52.0 210 55 -65 3.99 0.7296
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 0.07 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