The ANSS event ID is ak0236rdtjd6 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0236rdtjd6/executive.
2023/05/27 16:49:23 60.281 -152.973 136.3 4.4 Alaska
USGS/SLU Moment Tensor Solution
ENS 2023/05/27 16:49:23:0 60.28 -152.97 136.3 4.4 Alaska
Stations used:
AK.BRLK AK.CAPN AK.FID AK.FIRE AK.GHO AK.GLI AK.HOM AK.KNK
AK.L19K AK.L22K AK.N19K AK.O18K AK.O19K AK.P16K AK.P17K
AK.PWL AK.Q19K AK.RC01 AK.SAW AK.SCM AK.SKN AK.SLK AK.SWD
AK.WAT6 AT.PMR AV.ACH AV.P19K AV.SPCP AV.STLK II.KDAK
Filtering commands used:
cut o DIST/3.7 -40 o DIST/3.7 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.08 n 3
Best Fitting Double Couple
Mo = 3.55e+22 dyne-cm
Mw = 4.30
Z = 120 km
Plane Strike Dip Rake
NP1 70 65 30
NP2 326 63 152
Principal Axes:
Axis Value Plunge Azimuth
T 3.55e+22 38 289
N 0.00e+00 52 106
P -3.55e+22 1 198
Moment Tensor: (dyne-cm)
Component Value
Mxx -2.99e+22
Mxy -1.70e+22
Mxz 6.27e+21
Myy 1.63e+22
Myz -1.61e+22
Mzz 1.36e+22
--------------
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#######---------------------
###########-------------------
###############-------------------
##################------------------
#####################-----------------
###### ###############---------------#
###### T ################-------------##
####### #################----------#####
############################-------#######
#############################----#########
##########################################
#########################-----##########
#####################----------#########
----#######-------------------########
------------------------------######
-----------------------------#####
---------------------------###
--------------------------##
--- ----------------
P ------------
Global CMT Convention Moment Tensor:
R T P
1.36e+22 6.27e+21 1.61e+22
6.27e+21 -2.99e+22 1.70e+22
1.61e+22 1.70e+22 1.63e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20230527164923/index.html
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STK = 70
DIP = 65
RAKE = 30
MW = 4.30
HS = 120.0
The NDK file is 20230527164923.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/3.7 -40 o DIST/3.7 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 50.0 60 80 20 4.02 0.1432
WVFGRD96 52.0 60 70 10 4.04 0.1475
WVFGRD96 54.0 60 70 10 4.05 0.1539
WVFGRD96 56.0 60 70 5 4.07 0.1609
WVFGRD96 58.0 60 70 5 4.08 0.1693
WVFGRD96 60.0 60 70 5 4.10 0.1784
WVFGRD96 62.0 60 70 5 4.11 0.1886
WVFGRD96 64.0 60 70 5 4.12 0.2003
WVFGRD96 66.0 60 65 5 4.14 0.2156
WVFGRD96 68.0 70 60 35 4.16 0.2375
WVFGRD96 70.0 70 60 35 4.18 0.2694
WVFGRD96 72.0 70 60 30 4.20 0.3008
WVFGRD96 74.0 70 60 30 4.22 0.3304
WVFGRD96 76.0 70 60 30 4.23 0.3556
WVFGRD96 78.0 70 60 30 4.24 0.3751
WVFGRD96 80.0 70 60 30 4.25 0.3916
WVFGRD96 82.0 70 60 30 4.25 0.4057
WVFGRD96 84.0 70 60 30 4.26 0.4160
WVFGRD96 86.0 70 65 30 4.26 0.4218
WVFGRD96 88.0 70 65 30 4.26 0.4269
WVFGRD96 90.0 70 65 30 4.27 0.4317
WVFGRD96 92.0 70 65 30 4.27 0.4359
WVFGRD96 94.0 70 65 30 4.27 0.4396
WVFGRD96 96.0 70 65 30 4.28 0.4425
WVFGRD96 98.0 70 65 30 4.28 0.4459
WVFGRD96 100.0 70 65 30 4.28 0.4484
WVFGRD96 102.0 70 65 30 4.29 0.4504
WVFGRD96 104.0 70 65 30 4.29 0.4528
WVFGRD96 106.0 70 65 30 4.29 0.4544
WVFGRD96 108.0 70 65 30 4.29 0.4555
WVFGRD96 110.0 70 65 30 4.29 0.4569
WVFGRD96 112.0 70 65 30 4.30 0.4573
WVFGRD96 114.0 70 65 30 4.30 0.4576
WVFGRD96 116.0 70 65 30 4.30 0.4572
WVFGRD96 118.0 70 65 30 4.30 0.4572
WVFGRD96 120.0 70 65 30 4.30 0.4579
WVFGRD96 122.0 70 65 30 4.31 0.4575
WVFGRD96 124.0 70 65 30 4.31 0.4569
WVFGRD96 126.0 70 65 30 4.31 0.4553
WVFGRD96 128.0 70 65 30 4.31 0.4545
WVFGRD96 130.0 70 65 30 4.31 0.4538
WVFGRD96 132.0 70 60 30 4.31 0.4527
WVFGRD96 134.0 70 60 30 4.31 0.4515
WVFGRD96 136.0 70 60 30 4.32 0.4497
WVFGRD96 138.0 70 60 30 4.32 0.4488
WVFGRD96 140.0 70 65 30 4.32 0.4470
WVFGRD96 142.0 70 60 25 4.33 0.4459
WVFGRD96 144.0 70 60 25 4.33 0.4441
WVFGRD96 146.0 70 60 25 4.33 0.4430
WVFGRD96 148.0 70 60 25 4.33 0.4415
The best solution is
WVFGRD96 120.0 70 65 30 4.30 0.4579
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/3.7 -40 o DIST/3.7 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 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