Left: mLg computed using the IASPEI formula. Center: mLg residuals versus epicentral distance ; the values used for the trimmed mean magnitude estimate are indicated. Right: residuals as a function of distance and azimuth.
The ANSS event ID is ak019ddcmles and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak019ddcmles/executive.
2019/10/18 05:44:02 66.324 -157.305 9.5 3.7 Alaska
USGS/SLU Moment Tensor Solution
ENS 2019/10/18 05:44:02:0 66.32 -157.30 9.5 3.7 Alaska
Stations used:
AK.ANM AK.COLD AK.I23K AK.J19K AK.J20K AK.KTH TA.C18K
TA.C19K TA.D23K TA.E18K TA.E22K TA.E23K TA.E24K TA.F15K
TA.F17K TA.F19K TA.F20K TA.F21K TA.F24K TA.G16K TA.G18K
TA.G23K TA.G24K TA.H17K TA.H19K TA.I20K TA.J16K TA.J18K
TA.K17K TA.TOLK
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 = 4.03e+21 dyne-cm
Mw = 3.67
Z = 10 km
Plane Strike Dip Rake
NP1 261 64 -146
NP2 155 60 -30
Principal Axes:
Axis Value Plunge Azimuth
T 4.03e+21 3 27
N 0.00e+00 49 294
P -4.03e+21 41 120
Moment Tensor: (dyne-cm)
Component Value
Mxx 2.63e+21
Mxy 2.61e+21
Mxz 1.15e+21
Myy -8.81e+20
Myz -1.65e+21
Mzz -1.74e+21
##############
--################# T
----################## ###
-----#########################
-------###########################
--------############################
---------#############################
----------#########-------------########
----------##--------------------------##
--------####------------------------------
-----#######------------------------------
---##########-----------------------------
-#############----------------------------
##############--------------- --------
###############-------------- P --------
###############------------- -------
###############---------------------
################------------------
################--------------
#################-----------
#################-----
##############
Global CMT Convention Moment Tensor:
R T P
-1.74e+21 1.15e+21 1.65e+21
1.15e+21 2.63e+21 -2.61e+21
1.65e+21 -2.61e+21 -8.81e+20
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20191018054402/index.html
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STK = 155
DIP = 60
RAKE = -30
MW = 3.67
HS = 10.0
The NDK file is 20191018054402.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: mLg computed using the IASPEI formula. Center: mLg residuals versus epicentral distance ; the values used for the trimmed mean magnitude estimate are indicated.
Right: residuals as a function of distance and azimuth.
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 1.0 170 90 5 3.23 0.3090
WVFGRD96 2.0 350 70 20 3.43 0.5313
WVFGRD96 3.0 350 65 25 3.50 0.6034
WVFGRD96 4.0 345 60 10 3.52 0.6530
WVFGRD96 5.0 345 55 15 3.56 0.6881
WVFGRD96 6.0 345 55 15 3.58 0.7095
WVFGRD96 7.0 150 55 -35 3.62 0.7266
WVFGRD96 8.0 145 50 -45 3.68 0.7465
WVFGRD96 9.0 150 55 -40 3.68 0.7535
WVFGRD96 10.0 155 60 -30 3.67 0.7544
WVFGRD96 11.0 155 60 -25 3.67 0.7541
WVFGRD96 12.0 155 60 -25 3.68 0.7506
WVFGRD96 13.0 155 65 -25 3.68 0.7470
WVFGRD96 14.0 155 65 -25 3.69 0.7426
WVFGRD96 15.0 155 65 -20 3.69 0.7373
WVFGRD96 16.0 155 65 -20 3.70 0.7313
WVFGRD96 17.0 155 65 -20 3.71 0.7245
WVFGRD96 18.0 155 65 -20 3.72 0.7166
WVFGRD96 19.0 155 65 -20 3.73 0.7079
WVFGRD96 20.0 155 65 -20 3.74 0.6982
WVFGRD96 21.0 155 65 -20 3.75 0.6882
WVFGRD96 22.0 155 65 -15 3.75 0.6772
WVFGRD96 23.0 160 65 5 3.75 0.6666
WVFGRD96 24.0 165 65 15 3.77 0.6571
WVFGRD96 25.0 165 65 15 3.78 0.6471
WVFGRD96 26.0 165 65 20 3.79 0.6365
WVFGRD96 27.0 165 65 20 3.79 0.6255
WVFGRD96 28.0 165 65 20 3.80 0.6140
WVFGRD96 29.0 165 65 20 3.81 0.6018
The best solution is
WVFGRD96 10.0 155 60 -30 3.67 0.7544
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