The ANSS event ID is ak0196hcswgq and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0196hcswgq/executive.
2019/05/21 10:12:28 59.137 -152.997 69.7 3.8 Alaska
USGS/SLU Moment Tensor Solution
ENS 2019/05/21 10:12:28:0 59.14 -153.00 69.7 3.8 Alaska
Stations used:
AK.BRLK AK.CNP AK.HOM AK.SWD II.KDAK TA.N19K TA.O18K
TA.O19K TA.P18K TA.P19K TA.Q19K TA.Q20K
Filtering commands used:
cut o DIST/3.3 -50 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 = 1.02e+22 dyne-cm
Mw = 3.94
Z = 78 km
Plane Strike Dip Rake
NP1 85 75 35
NP2 345 56 162
Principal Axes:
Axis Value Plunge Azimuth
T 1.02e+22 35 310
N 0.00e+00 52 105
P -1.02e+22 12 211
Moment Tensor: (dyne-cm)
Component Value
Mxx -4.32e+21
Mxy -7.72e+21
Mxz 4.87e+21
Myy 1.38e+21
Myz -2.60e+21
Mzz 2.93e+21
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#################-------------
#####################-------------
###### ##############-------------
####### T ###############-------------
######## ################-------------
###########################-------------
#############################-------------
##############################----------##
##############################------######
---##########################-############
-----------------------------###########
-----------------------------###########
----------------------------##########
---------------------------#########
--------------------------########
---- ----------------#######
--- P ----------------######
---------------####
-------------#
Global CMT Convention Moment Tensor:
R T P
2.93e+21 4.87e+21 2.60e+21
4.87e+21 -4.32e+21 7.72e+21
2.60e+21 7.72e+21 1.38e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20190521101228/index.html
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STK = 85
DIP = 75
RAKE = 35
MW = 3.94
HS = 78.0
The NDK file is 20190521101228.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 -50 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 2.0 100 50 -100 3.17 0.3055
WVFGRD96 4.0 160 80 35 3.14 0.3455
WVFGRD96 6.0 165 65 30 3.23 0.3906
WVFGRD96 8.0 165 65 30 3.31 0.4143
WVFGRD96 10.0 160 75 30 3.34 0.4169
WVFGRD96 12.0 160 75 30 3.38 0.4066
WVFGRD96 14.0 240 60 -25 3.42 0.3950
WVFGRD96 16.0 240 60 -25 3.46 0.4009
WVFGRD96 18.0 255 65 20 3.48 0.4075
WVFGRD96 20.0 260 75 25 3.52 0.4241
WVFGRD96 22.0 255 65 25 3.53 0.4439
WVFGRD96 24.0 255 65 25 3.55 0.4654
WVFGRD96 26.0 250 65 20 3.57 0.4860
WVFGRD96 28.0 250 70 15 3.57 0.5021
WVFGRD96 30.0 70 80 -20 3.59 0.5201
WVFGRD96 32.0 75 90 -25 3.62 0.5367
WVFGRD96 34.0 75 90 -20 3.63 0.5476
WVFGRD96 36.0 235 65 -30 3.68 0.5555
WVFGRD96 38.0 230 65 -25 3.70 0.5631
WVFGRD96 40.0 255 75 40 3.75 0.5756
WVFGRD96 42.0 255 70 40 3.77 0.5685
WVFGRD96 44.0 80 70 40 3.81 0.5694
WVFGRD96 46.0 80 75 40 3.83 0.5738
WVFGRD96 48.0 80 75 40 3.84 0.5787
WVFGRD96 50.0 80 75 40 3.85 0.5847
WVFGRD96 52.0 80 65 35 3.85 0.5957
WVFGRD96 54.0 80 70 35 3.86 0.6078
WVFGRD96 56.0 80 70 35 3.87 0.6233
WVFGRD96 58.0 80 70 35 3.88 0.6340
WVFGRD96 60.0 80 70 35 3.88 0.6443
WVFGRD96 62.0 80 70 35 3.89 0.6516
WVFGRD96 64.0 85 70 35 3.91 0.6599
WVFGRD96 66.0 85 70 35 3.91 0.6672
WVFGRD96 68.0 85 70 35 3.91 0.6698
WVFGRD96 70.0 85 70 35 3.92 0.6748
WVFGRD96 72.0 85 70 35 3.92 0.6775
WVFGRD96 74.0 85 70 35 3.93 0.6764
WVFGRD96 76.0 85 75 35 3.94 0.6796
WVFGRD96 78.0 85 75 35 3.94 0.6811
WVFGRD96 80.0 85 75 35 3.94 0.6810
WVFGRD96 82.0 85 75 35 3.95 0.6796
WVFGRD96 84.0 85 75 35 3.95 0.6777
WVFGRD96 86.0 85 75 35 3.95 0.6771
WVFGRD96 88.0 85 75 35 3.95 0.6763
WVFGRD96 90.0 85 75 30 3.95 0.6752
WVFGRD96 92.0 85 75 30 3.95 0.6727
WVFGRD96 94.0 85 75 30 3.96 0.6713
WVFGRD96 96.0 85 75 30 3.96 0.6690
WVFGRD96 98.0 85 75 30 3.96 0.6661
The best solution is
WVFGRD96 78.0 85 75 35 3.94 0.6811
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 -50 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