Location
Location ANSS
The ANSS event ID is us10007s20 and the event page is at
https://earthquake.usgs.gov/earthquakes/eventpage/us10007s20/executive.
2017/01/08 23:47:12 74.386 -92.416 31.0 6 Canada
Focal Mechanism
USGS/SLU Moment Tensor Solution
ENS 2017/01/08 23:47:12:0 74.39 -92.42 31.0 6.0 Canada
Stations used:
CN.EUNU CN.FRB CN.INK CN.RES CN.YKAW3 DK.NEEM DK.NOR
DK.TULEG NY.WGLY TA.A36M TA.C36M TA.E25K TA.E27K TA.EPYK
TA.F31M TA.G26K TA.G27K TA.G30M TA.H27K TA.I29M
Filtering commands used:
cut o DIST/3.3 -100 o DIST/3.3 +150
rtr
taper w 0.1
hp c 0.01 n 3
lp c 0.04 n 3
Best Fitting Double Couple
Mo = 7.76e+24 dyne-cm
Mw = 5.86
Z = 34 km
Plane Strike Dip Rake
NP1 312 56 97
NP2 120 35 80
Principal Axes:
Axis Value Plunge Azimuth
T 7.76e+24 78 247
N 0.00e+00 6 128
P -7.76e+24 10 37
Moment Tensor: (dyne-cm)
Component Value
Mxx -4.72e+24
Mxy -3.50e+24
Mxz -1.71e+24
Myy -2.47e+24
Myz -2.26e+24
Mzz 7.18e+24
--------------
--------------------
----------------------- P --
#######----------------- ---
##############--------------------
###################-----------------
-######################---------------
--########################--------------
--##########################------------
---###########################------------
----############# ############----------
----############# T #############---------
-----############ ##############--------
-----#############################------
-------############################-----
--------##########################----
---------########################---
-----------#####################-#
-------------##############---
----------------------------
----------------------
--------------
Global CMT Convention Moment Tensor:
R T P
7.18e+24 -1.71e+24 2.26e+24
-1.71e+24 -4.72e+24 3.50e+24
2.26e+24 3.50e+24 -2.47e+24
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20170108234712/index.html
|
Preferred Solution
The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion or first motion observations is
STK = 120
DIP = 35
RAKE = 80
MW = 5.86
HS = 34.0
The NDK file is 20170108234712.ndk
The waveform inversion is preferred.
Moment Tensor Comparison
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.
| SLU |
USGSMT |
USGS/SLU Moment Tensor Solution
ENS 2017/01/08 23:47:12:0 74.39 -92.42 31.0 6.0 Canada
Stations used:
CN.EUNU CN.FRB CN.INK CN.RES CN.YKAW3 DK.NEEM DK.NOR
DK.TULEG NY.WGLY TA.A36M TA.C36M TA.E25K TA.E27K TA.EPYK
TA.F31M TA.G26K TA.G27K TA.G30M TA.H27K TA.I29M
Filtering commands used:
cut o DIST/3.3 -100 o DIST/3.3 +150
rtr
taper w 0.1
hp c 0.01 n 3
lp c 0.04 n 3
Best Fitting Double Couple
Mo = 7.76e+24 dyne-cm
Mw = 5.86
Z = 34 km
Plane Strike Dip Rake
NP1 312 56 97
NP2 120 35 80
Principal Axes:
Axis Value Plunge Azimuth
T 7.76e+24 78 247
N 0.00e+00 6 128
P -7.76e+24 10 37
Moment Tensor: (dyne-cm)
Component Value
Mxx -4.72e+24
Mxy -3.50e+24
Mxz -1.71e+24
Myy -2.47e+24
Myz -2.26e+24
Mzz 7.18e+24
--------------
--------------------
----------------------- P --
#######----------------- ---
##############--------------------
###################-----------------
-######################---------------
--########################--------------
--##########################------------
---###########################------------
----############# ############----------
----############# T #############---------
-----############ ##############--------
-----#############################------
-------############################-----
--------##########################----
---------########################---
-----------#####################-#
-------------##############---
----------------------------
----------------------
--------------
Global CMT Convention Moment Tensor:
R T P
7.18e+24 -1.71e+24 2.26e+24
-1.71e+24 -4.72e+24 3.50e+24
2.26e+24 3.50e+24 -2.47e+24
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20170108234712/index.html
|
Body-wave Moment Tensor (Mwb)
Moment 9.868e+17 N-m
Magnitude 5.9 Mwb
Depth 21.0 km
Percent DC 58 %
Half Duration –
Catalog US
Data Source US2
Contributor US2
Nodal Planes
Plane Strike Dip Rake
NP1 326 59 125
NP2 92 46 47
Principal Axes
Axis Value Plunge Azimuth
T 8.519e+17 N-m 60 289
N 2.294e+17 N-m 29 126
P -10.813e+17 N-m 7 32
|
Magnitudes
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.
Context
The left panel of the next figure presents the focal mechanism for this earthquake (red) in the context of other nearby events (blue) in the SLU Moment Tensor Catalog. The right panel shows the inferred direction of maximum compressive stress and the type of faulting (green is strike-slip, red is normal, blue is thrust; oblique is shown by a combination of colors). Thus context plot is useful for assessing the appropriateness of the moment tensor of this event.
Waveform Inversion using wvfgrd96
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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Location of broadband stations used for waveform inversion
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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 -100 o DIST/3.3 +150
rtr
taper w 0.1
hp c 0.01 n 3
lp c 0.04 n 3
The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 1.0 125 50 -90 5.66 0.4391
WVFGRD96 2.0 320 40 -90 5.68 0.4466
WVFGRD96 3.0 165 45 -75 5.66 0.4212
WVFGRD96 4.0 160 90 10 5.53 0.4012
WVFGRD96 5.0 340 90 -10 5.55 0.3908
WVFGRD96 6.0 70 55 -5 5.57 0.3795
WVFGRD96 7.0 70 55 -5 5.58 0.3787
WVFGRD96 8.0 320 80 -50 5.66 0.3756
WVFGRD96 9.0 320 80 -50 5.66 0.3849
WVFGRD96 10.0 325 80 -55 5.66 0.3975
WVFGRD96 11.0 325 85 -60 5.67 0.4083
WVFGRD96 12.0 325 85 -60 5.67 0.4207
WVFGRD96 13.0 285 75 70 5.76 0.4393
WVFGRD96 14.0 285 75 70 5.76 0.4600
WVFGRD96 15.0 285 75 70 5.76 0.4771
WVFGRD96 16.0 285 75 70 5.76 0.4925
WVFGRD96 17.0 290 70 65 5.76 0.5064
WVFGRD96 18.0 290 70 70 5.77 0.5234
WVFGRD96 19.0 290 70 70 5.77 0.5374
WVFGRD96 20.0 290 70 70 5.81 0.5469
WVFGRD96 21.0 290 70 70 5.81 0.5565
WVFGRD96 22.0 290 70 70 5.81 0.5636
WVFGRD96 23.0 295 65 70 5.80 0.5708
WVFGRD96 24.0 295 65 75 5.81 0.5776
WVFGRD96 25.0 295 65 75 5.81 0.5828
WVFGRD96 26.0 295 65 75 5.81 0.5860
WVFGRD96 27.0 300 65 75 5.82 0.5882
WVFGRD96 28.0 300 65 75 5.82 0.5899
WVFGRD96 29.0 135 30 100 5.83 0.5916
WVFGRD96 30.0 130 30 95 5.83 0.5932
WVFGRD96 31.0 120 35 85 5.84 0.5942
WVFGRD96 32.0 125 35 85 5.84 0.5951
WVFGRD96 33.0 120 35 80 5.85 0.5955
WVFGRD96 34.0 120 35 80 5.86 0.5957
WVFGRD96 35.0 115 40 75 5.87 0.5955
WVFGRD96 36.0 115 40 75 5.87 0.5952
WVFGRD96 37.0 115 45 75 5.88 0.5940
WVFGRD96 38.0 120 50 70 5.90 0.5938
WVFGRD96 39.0 120 50 70 5.91 0.5930
The best solution is
WVFGRD96 34.0 120 35 80 5.86 0.5957
The mechanism corresponding to the best fit is
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Figure 1. Waveform inversion focal mechanism
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The best fit as a function of depth is given in the following figure:
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Figure 2. Depth sensitivity for waveform mechanism
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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 -100 o DIST/3.3 +150
rtr
taper w 0.1
hp c 0.01 n 3
lp c 0.04 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.
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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:
- The origin time and epicentral distance are incorrect
- The velocity model used for the inversion is incorrect
- The velocity model used to define the P-arrival time is not the
same as the velocity model used for the waveform inversion
(assuming that the initial trace alignment is based on the
P arrival time)
Assuming only a mislocation, the time shifts are fit to a functional form:
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.
Velocity Model
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
Last Changed Sat Apr 27 11:06:28 AM CDT 2024
