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 ak018coiadru and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak018coiadru/executive.
2018/10/03 03:29:37 64.898 -148.919 19.7 3.9 Alaska
USGS/SLU Moment Tensor Solution
ENS 2018/10/03 03:29:37:0 64.90 -148.92 19.7 3.9 Alaska
Stations used:
AK.BPAW AK.BWN AK.CCB AK.COLD AK.CUT AK.DHY AK.FYU AK.GHO
AK.HDA AK.KNK AK.KTH AK.MCK AK.MLY AK.NEA2 AK.PPD AK.PPLA
AK.RC01 AK.RIDG AK.RND AK.SAW AK.SCM AK.SCRK AK.SKN AK.SSN
AK.WRH AT.MENT AT.PMR IM.IL31 IU.COLA TA.E23K TA.E24K
TA.F20K TA.F21K TA.F24K TA.F25K TA.F26K TA.G19K TA.G21K
TA.G23K TA.G24K TA.G27K TA.H19K TA.H21K TA.H23K TA.H24K
TA.I20K TA.I23K TA.I26K TA.I28M TA.J18K TA.J19K TA.J20K
TA.J25K TA.J26L TA.K20K TA.K27K TA.L26K TA.L27K TA.M19K
TA.M20K TA.M22K TA.M26K TA.N25K TA.POKR TA.TOLK US.EGAK
Filtering commands used:
cut o DIST/3.3 -20 o DIST/3.3 +60
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.08 n 3
Best Fitting Double Couple
Mo = 1.84e+22 dyne-cm
Mw = 4.11
Z = 19 km
Plane Strike Dip Rake
NP1 138 79 123
NP2 245 35 20
Principal Axes:
Axis Value Plunge Azimuth
T 1.84e+22 46 82
N 0.00e+00 33 311
P -1.84e+22 26 203
Moment Tensor: (dyne-cm)
Component Value
Mxx -1.25e+22
Mxy -4.11e+21
Mxz 7.94e+21
Myy 6.54e+21
Myz 1.19e+22
Mzz 5.92e+21
--------------
----------------------
----------------------------
##------------###########-----
#####------#####################--
#######--##########################-
#######--#############################
######-----#############################
#####--------###########################
#####----------############### #########
####------------############## T #########
###---------------############ #########
###-----------------######################
#-------------------####################
#---------------------##################
-----------------------###############
------------------------############
--------- -------------#########
------- P ----------------####
------ -------------------
----------------------
--------------
Global CMT Convention Moment Tensor:
R T P
5.92e+21 7.94e+21 -1.19e+22
7.94e+21 -1.25e+22 4.11e+21
-1.19e+22 4.11e+21 6.54e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181003032937/index.html
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STK = 245
DIP = 35
RAKE = 20
MW = 4.11
HS = 19.0
The NDK file is 20181003032937.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 -20 o DIST/3.3 +60 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 1.0 350 45 -90 3.62 0.2697
WVFGRD96 2.0 175 45 -90 3.76 0.3802
WVFGRD96 3.0 5 40 -75 3.81 0.3315
WVFGRD96 4.0 240 50 15 3.78 0.3305
WVFGRD96 5.0 240 35 10 3.83 0.3716
WVFGRD96 6.0 240 30 10 3.85 0.4275
WVFGRD96 7.0 240 35 10 3.87 0.4785
WVFGRD96 8.0 240 30 10 3.95 0.5182
WVFGRD96 9.0 245 30 15 3.96 0.5686
WVFGRD96 10.0 245 30 20 3.98 0.6132
WVFGRD96 11.0 245 30 20 4.00 0.6520
WVFGRD96 12.0 245 35 20 4.02 0.6860
WVFGRD96 13.0 245 35 20 4.04 0.7148
WVFGRD96 14.0 250 35 25 4.05 0.7381
WVFGRD96 15.0 245 35 20 4.06 0.7569
WVFGRD96 16.0 245 35 20 4.08 0.7711
WVFGRD96 17.0 245 35 20 4.09 0.7811
WVFGRD96 18.0 245 35 20 4.10 0.7870
WVFGRD96 19.0 245 35 20 4.11 0.7888
WVFGRD96 20.0 245 35 20 4.12 0.7882
WVFGRD96 21.0 245 35 20 4.14 0.7840
WVFGRD96 22.0 245 35 20 4.15 0.7778
WVFGRD96 23.0 245 35 20 4.15 0.7697
WVFGRD96 24.0 245 35 20 4.16 0.7588
WVFGRD96 25.0 245 35 20 4.17 0.7465
WVFGRD96 26.0 245 35 20 4.17 0.7319
WVFGRD96 27.0 245 35 20 4.18 0.7162
WVFGRD96 28.0 245 35 20 4.18 0.6978
WVFGRD96 29.0 245 35 20 4.19 0.6790
The best solution is
WVFGRD96 19.0 245 35 20 4.11 0.7888
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 -20 o DIST/3.3 +60 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