The ANSS event ID is ak020ds9pinu and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak020ds9pinu/executive.
2020/10/26 07:53:03 63.227 -143.424 9.0 4.2 Alaska
USGS/SLU Moment Tensor Solution
ENS 2020/10/26 07:53:03:0 63.23 -143.42 9.0 4.2 Alaska
Stations used:
AK.BERG AK.CCB AK.DHY AK.DIV AK.DOT AK.EYAK AK.FID AK.GLB
AK.GLI AK.HARP AK.HDA AK.I26K AK.I27K AK.J25K AK.K24K
AK.K27K AK.KLU AK.KNK AK.L26K AK.M27K AK.MCAR AK.NEA2
AK.PAX AK.POKR AK.PPD AK.RIDG AK.RND AK.SCM AK.SCRK AK.VRDI
AK.WRH AK.YAH AT.MENT CN.DAWY IM.IL31 TA.H27K TA.J29N
TA.K29M TA.L27K TA.L29M TA.M30M
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 = 17 km
Plane Strike Dip Rake
NP1 104 60 87
NP2 290 30 95
Principal Axes:
Axis Value Plunge Azimuth
T 1.22e+22 75 6
N 0.00e+00 2 106
P -1.22e+22 15 196
Moment Tensor: (dyne-cm)
Component Value
Mxx -9.61e+21
Mxy -2.97e+21
Mxz 6.01e+21
Myy -8.87e+20
Myz 1.21e+21
Mzz 1.05e+22
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---#######################--------
-#############################------
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################### #############-----
################### T ###############---
--################## ################---
----###################################---
------##################################--
--------################################--
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-------- -----------------
----- P --------------
- ----------
Global CMT Convention Moment Tensor:
R T P
1.05e+22 6.01e+21 -1.21e+21
6.01e+21 -9.61e+21 2.97e+21
-1.21e+21 2.97e+21 -8.87e+20
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20201026075303/index.html
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STK = 290
DIP = 30
RAKE = 95
MW = 3.99
HS = 17.0
The NDK file is 20201026075303.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 1.0 95 45 -90 3.62 0.3085
WVFGRD96 2.0 95 45 -90 3.73 0.3777
WVFGRD96 3.0 275 40 90 3.77 0.2986
WVFGRD96 4.0 105 70 -80 3.80 0.2844
WVFGRD96 5.0 85 85 70 3.78 0.3351
WVFGRD96 6.0 100 80 85 3.81 0.3913
WVFGRD96 7.0 105 80 85 3.81 0.4417
WVFGRD96 8.0 100 80 85 3.89 0.4764
WVFGRD96 9.0 105 75 90 3.91 0.5229
WVFGRD96 10.0 105 70 90 3.93 0.5614
WVFGRD96 11.0 290 20 95 3.93 0.5944
WVFGRD96 12.0 290 25 95 3.95 0.6212
WVFGRD96 13.0 105 65 90 3.96 0.6425
WVFGRD96 14.0 105 65 90 3.97 0.6579
WVFGRD96 15.0 105 65 90 3.97 0.6671
WVFGRD96 16.0 105 60 85 3.99 0.6718
WVFGRD96 17.0 290 30 95 3.99 0.6745
WVFGRD96 18.0 105 60 85 4.00 0.6740
WVFGRD96 19.0 290 30 95 4.00 0.6697
WVFGRD96 20.0 105 60 85 4.01 0.6640
WVFGRD96 21.0 290 30 95 4.02 0.6559
WVFGRD96 22.0 295 30 100 4.02 0.6457
WVFGRD96 23.0 105 60 85 4.03 0.6348
WVFGRD96 24.0 105 60 85 4.03 0.6227
WVFGRD96 25.0 300 30 100 4.04 0.6088
WVFGRD96 26.0 105 60 85 4.04 0.5957
WVFGRD96 27.0 295 30 95 4.05 0.5814
WVFGRD96 28.0 300 35 100 4.05 0.5681
WVFGRD96 29.0 105 55 85 4.05 0.5543
The best solution is
WVFGRD96 17.0 290 30 95 3.99 0.6745
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