The ANSS event ID is usb000kc6t and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/usb000kc6t/executive.
2013/10/13 08:26:18 65.033 -139.010 1.0 3.9 Canada
USGS/SLU Moment Tensor Solution
ENS 2013/10/13 08:26:18:0 65.03 -139.01 1.0 3.9 Canada
Stations used:
AK.BAL AK.CCB AK.DOT AK.PPD AK.RIDG AK.SAMH AK.SAW AK.SCM
AK.VRDI AK.WAT6 AK.WAT7 AT.MENT AT.PMR CN.BVCY CN.HYT
CN.WHY CN.YUK1 CN.YUK2 CN.YUK3 IM.IL31 IU.COLA TA.EPYK
TA.POKR TA.TCOL TA.TOLK US.EGAK YE.PIC1 YE.PIC4
Filtering commands used:
cut a -30 a 180
rtr
taper w 0.1
hp c 0.02 n 3
lp c 0.06 n 3
Best Fitting Double Couple
Mo = 7.76e+21 dyne-cm
Mw = 3.86
Z = 20 km
Plane Strike Dip Rake
NP1 65 90 -10
NP2 155 80 -180
Principal Axes:
Axis Value Plunge Azimuth
T 7.76e+21 7 110
N 0.00e+00 80 245
P -7.76e+21 7 20
Moment Tensor: (dyne-cm)
Component Value
Mxx -5.86e+21
Mxy -4.91e+21
Mxz -1.22e+21
Myy 5.86e+21
Myz 5.70e+20
Mzz 1.18e+14
------------
##-------------- P ---
######------------- ------
#######-----------------------
##########------------------------
###########-------------------------
#############------------------------#
##############--------------------######
###############---------------##########
#################----------###############
##################-----###################
##########################################
###############----#######################
##########---------##################
######--------------################# T
#-------------------################
--------------------################
---------------------#############
--------------------##########
--------------------########
-------------------###
--------------
Global CMT Convention Moment Tensor:
R T P
1.18e+14 -1.22e+21 -5.70e+20
-1.22e+21 -5.86e+21 4.91e+21
-5.70e+20 4.91e+21 5.86e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20131013082618/index.html
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STK = 65
DIP = 90
RAKE = -10
MW = 3.86
HS = 20.0
The NDK file is 20131013082618.ndk The waveform inversion is preferred.
The following compares this source inversion to those provided by others. The purpose is to look for major differences and also to note slight differences that might be inherent to the processing procedure. For completeness the USGS/SLU solution is repeated from above.
USGS/SLU Moment Tensor Solution
ENS 2013/10/13 08:26:18:0 65.03 -139.01 1.0 3.9 Canada
Stations used:
AK.BAL AK.CCB AK.DOT AK.PPD AK.RIDG AK.SAMH AK.SAW AK.SCM
AK.VRDI AK.WAT6 AK.WAT7 AT.MENT AT.PMR CN.BVCY CN.HYT
CN.WHY CN.YUK1 CN.YUK2 CN.YUK3 IM.IL31 IU.COLA TA.EPYK
TA.POKR TA.TCOL TA.TOLK US.EGAK YE.PIC1 YE.PIC4
Filtering commands used:
cut a -30 a 180
rtr
taper w 0.1
hp c 0.02 n 3
lp c 0.06 n 3
Best Fitting Double Couple
Mo = 7.76e+21 dyne-cm
Mw = 3.86
Z = 20 km
Plane Strike Dip Rake
NP1 65 90 -10
NP2 155 80 -180
Principal Axes:
Axis Value Plunge Azimuth
T 7.76e+21 7 110
N 0.00e+00 80 245
P -7.76e+21 7 20
Moment Tensor: (dyne-cm)
Component Value
Mxx -5.86e+21
Mxy -4.91e+21
Mxz -1.22e+21
Myy 5.86e+21
Myz 5.70e+20
Mzz 1.18e+14
------------
##-------------- P ---
######------------- ------
#######-----------------------
##########------------------------
###########-------------------------
#############------------------------#
##############--------------------######
###############---------------##########
#################----------###############
##################-----###################
##########################################
###############----#######################
##########---------##################
######--------------################# T
#-------------------################
--------------------################
---------------------#############
--------------------##########
--------------------########
-------------------###
--------------
Global CMT Convention Moment Tensor:
R T P
1.18e+14 -1.22e+21 -5.70e+20
-1.22e+21 -5.86e+21 4.91e+21
-5.70e+20 4.91e+21 5.86e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20131013082618/index.html
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egional Moment Tensor (Mwr) Moment magnitude derived from a moment tensor inversion of complete waveforms at regional distances (less than ~8 degrees), generally used for the analysis of small to moderate size earthquakes (typically Mw 3.5-6.0) crust or upper mantle earthquakes. Moment 8.18e+14 N-m Magnitude 3.9 Percent DC 82% Depth 20.0 km Updated 2013-10-13 12:31:59 UTC Author us Catalog us Contributor us Code us_b000kc6t_mwr Principal Axes Axis Value Plunge Azimuth T 8.524 10 289 N -0.729 80 102 P -7.795 1 199 Nodal Planes Plane Strike Dip Rake NP1 64 84 8 NP2 334 82 174 |
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 a -30 a 180 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.06 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 0.5 65 70 -10 3.37 0.1938
WVFGRD96 1.0 65 85 0 3.39 0.2117
WVFGRD96 2.0 65 75 -10 3.50 0.2802
WVFGRD96 3.0 65 75 -10 3.55 0.3104
WVFGRD96 4.0 65 75 -10 3.58 0.3347
WVFGRD96 5.0 65 75 -10 3.61 0.3561
WVFGRD96 6.0 245 85 15 3.64 0.3738
WVFGRD96 7.0 245 85 20 3.68 0.3940
WVFGRD96 8.0 245 90 30 3.72 0.4145
WVFGRD96 9.0 245 90 30 3.74 0.4312
WVFGRD96 10.0 245 90 30 3.76 0.4456
WVFGRD96 11.0 245 90 30 3.78 0.4580
WVFGRD96 12.0 245 90 25 3.79 0.4697
WVFGRD96 13.0 245 90 25 3.80 0.4806
WVFGRD96 14.0 245 90 25 3.82 0.4890
WVFGRD96 15.0 245 90 20 3.82 0.4964
WVFGRD96 16.0 65 90 -20 3.83 0.5022
WVFGRD96 17.0 65 90 -15 3.84 0.5063
WVFGRD96 18.0 65 90 -15 3.85 0.5091
WVFGRD96 19.0 65 90 -15 3.86 0.5105
WVFGRD96 20.0 65 90 -10 3.86 0.5115
WVFGRD96 21.0 65 90 -10 3.87 0.5113
WVFGRD96 22.0 65 90 -10 3.88 0.5101
WVFGRD96 23.0 65 80 -10 3.89 0.5077
WVFGRD96 24.0 65 85 -5 3.89 0.5046
WVFGRD96 25.0 65 85 -5 3.90 0.5013
WVFGRD96 26.0 65 85 -5 3.91 0.4970
WVFGRD96 27.0 65 85 -5 3.91 0.4917
WVFGRD96 28.0 65 85 -5 3.92 0.4857
WVFGRD96 29.0 65 85 -5 3.93 0.4789
The best solution is
WVFGRD96 20.0 65 90 -10 3.86 0.5115
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 a -30 a 180 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.06 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