The ANSS event ID is ak017apifhie and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak017apifhie/executive.
2017/08/21 10:43:33 62.058 -149.555 57.2 4.3 Alaska
USGS/SLU Moment Tensor Solution
ENS 2017/08/21 10:43:33:0 62.06 -149.55 57.2 4.3 Alaska
Stations used:
AK.CAST AK.CUT AK.DHY AK.DIV AK.GHO AK.GLI AK.HIN AK.KLU
AK.KNK AK.KTH AK.MCK AK.PWL AK.RC01 AK.RND AK.SAW AK.SCM
AK.SSN AK.TRF AT.PMR TA.M20K TA.M22K TA.O22K
Filtering commands used:
cut o DIST/3.5 -30 o DIST/3.5 +40
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
Best Fitting Double Couple
Mo = 4.52e+22 dyne-cm
Mw = 4.37
Z = 64 km
Plane Strike Dip Rake
NP1 215 50 -75
NP2 12 42 -107
Principal Axes:
Axis Value Plunge Azimuth
T 4.52e+22 4 294
N 0.00e+00 11 25
P -4.52e+22 78 186
Moment Tensor: (dyne-cm)
Component Value
Mxx 5.72e+21
Mxy -1.71e+22
Mxz 1.05e+22
Myy 3.73e+22
Myz -1.90e+21
Mzz -4.30e+22
#############-
##################----
##################-----#####
###############----------#####
###############-------------######
#############---------------#######
T ###########------------------#######
#########--------------------########
###########---------------------########
###########----------------------#########
##########-----------------------#########
#########---------- -----------#########
#########---------- P -----------#########
#######----------- ----------#########
#######-----------------------##########
######-----------------------#########
#####----------------------#########
####--------------------##########
##-------------------#########
##----------------##########
-------------#########
-----#########
Global CMT Convention Moment Tensor:
R T P
-4.30e+22 1.05e+22 1.90e+21
1.05e+22 5.72e+21 1.71e+22
1.90e+21 1.71e+22 3.73e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20170821104333/index.html
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STK = 215
DIP = 50
RAKE = -75
MW = 4.37
HS = 64.0
The NDK file is 20170821104333.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/3.5 -30 o DIST/3.5 +40 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 2.0 215 45 95 3.60 0.3016
WVFGRD96 4.0 345 25 15 3.62 0.2661
WVFGRD96 6.0 20 90 -75 3.65 0.3333
WVFGRD96 8.0 355 25 40 3.74 0.3635
WVFGRD96 10.0 205 70 85 3.78 0.3820
WVFGRD96 12.0 205 65 90 3.81 0.3821
WVFGRD96 14.0 5 30 65 3.83 0.3724
WVFGRD96 16.0 340 25 50 3.85 0.3581
WVFGRD96 18.0 335 25 45 3.87 0.3468
WVFGRD96 20.0 330 25 40 3.89 0.3350
WVFGRD96 22.0 60 70 -50 3.92 0.3289
WVFGRD96 24.0 60 70 -50 3.94 0.3261
WVFGRD96 26.0 80 75 35 3.97 0.3313
WVFGRD96 28.0 80 75 35 3.99 0.3331
WVFGRD96 30.0 75 80 35 4.00 0.3320
WVFGRD96 32.0 80 70 30 4.01 0.3251
WVFGRD96 34.0 55 55 -55 4.03 0.3646
WVFGRD96 36.0 205 45 -95 4.07 0.4240
WVFGRD96 38.0 30 45 -90 4.11 0.4904
WVFGRD96 40.0 25 50 -95 4.22 0.5789
WVFGRD96 42.0 25 50 -95 4.25 0.5972
WVFGRD96 44.0 20 50 -100 4.28 0.6134
WVFGRD96 46.0 25 45 -95 4.29 0.6304
WVFGRD96 48.0 25 45 -95 4.31 0.6500
WVFGRD96 50.0 215 45 -80 4.32 0.6695
WVFGRD96 52.0 215 45 -80 4.33 0.6844
WVFGRD96 54.0 220 50 -70 4.35 0.6977
WVFGRD96 56.0 220 50 -70 4.36 0.7105
WVFGRD96 58.0 220 50 -70 4.36 0.7207
WVFGRD96 60.0 215 50 -75 4.36 0.7274
WVFGRD96 62.0 215 50 -75 4.37 0.7314
WVFGRD96 64.0 215 50 -75 4.37 0.7319
WVFGRD96 66.0 215 50 -75 4.37 0.7313
WVFGRD96 68.0 220 55 -70 4.38 0.7307
WVFGRD96 70.0 215 55 -75 4.38 0.7296
WVFGRD96 72.0 215 55 -75 4.38 0.7249
WVFGRD96 74.0 215 55 -75 4.38 0.7213
WVFGRD96 76.0 215 55 -75 4.38 0.7172
WVFGRD96 78.0 215 55 -75 4.38 0.7101
WVFGRD96 80.0 215 55 -75 4.38 0.7037
WVFGRD96 82.0 215 55 -75 4.38 0.6953
WVFGRD96 84.0 215 55 -75 4.38 0.6872
WVFGRD96 86.0 215 55 -75 4.38 0.6789
WVFGRD96 88.0 215 55 -70 4.39 0.6710
WVFGRD96 90.0 215 55 -70 4.39 0.6632
WVFGRD96 92.0 215 55 -70 4.39 0.6538
WVFGRD96 94.0 215 60 -75 4.39 0.6472
WVFGRD96 96.0 215 60 -75 4.39 0.6410
WVFGRD96 98.0 215 60 -75 4.39 0.6355
The best solution is
WVFGRD96 64.0 215 50 -75 4.37 0.7319
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/3.5 -30 o DIST/3.5 +40 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