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 us1000hs2y and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/us1000hs2y/executive.
2018/11/15 09:33:12 42.670 -111.457 9.8 3.8 Idaho
USGS/SLU Moment Tensor Solution
ENS 2018/11/15 09:33:12:0 42.67 -111.46 9.8 3.8 Idaho
Stations used:
IW.DLMT IW.FLWY IW.FXWY IW.LOHW IW.MFID IW.MOOW IW.SNOW
IW.TPAW N4.O20A US.AHID US.BOZ US.BW06 US.DUG US.ELK
US.HLID US.HWUT US.LKWY US.RLMT UU.BGU UU.BRPU UU.BRWY
UU.CTU UU.CVRU UU.ECUT UU.JLU UU.LIUT UU.MPU UU.RDMU UU.SPU
UU.SVWY UU.SWUT UU.TCU UU.TMU WY.YFT WY.YHB WY.YMR WY.YNR
Filtering commands used:
cut o DIST/3.3 -20 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
br c 0.12 0.25 n 4 p 2
Best Fitting Double Couple
Mo = 6.76e+21 dyne-cm
Mw = 3.82
Z = 11 km
Plane Strike Dip Rake
NP1 313 77 -149
NP2 215 60 -15
Principal Axes:
Axis Value Plunge Azimuth
T 6.76e+21 11 81
N 0.00e+00 57 333
P -6.76e+21 31 178
Moment Tensor: (dyne-cm)
Component Value
Mxx -4.82e+21
Mxy 1.22e+21
Mxz 3.18e+21
Myy 6.33e+21
Myz 1.16e+21
Mzz -1.52e+21
--------------
----------------------
---------------------#######
------------------############
######------------################
##########-------###################
##############--######################
###############---######################
##############------#################
##############---------############### T #
#############------------############# #
############---------------###############
###########-----------------##############
#########--------------------###########
#########----------------------#########
#######------------------------#######
######-------------------------#####
#####----------- ------------###
###----------- P -------------
##----------- ------------
----------------------
--------------
Global CMT Convention Moment Tensor:
R T P
-1.52e+21 3.18e+21 -1.16e+21
3.18e+21 -4.82e+21 -1.22e+21
-1.16e+21 -1.22e+21 6.33e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181115093312/index.html
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STK = 215
DIP = 60
RAKE = -15
MW = 3.82
HS = 11.0
The NDK file is 20181115093312.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 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 n 3 br c 0.12 0.25 n 4 p 2The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 1.0 45 80 10 3.40 0.3910
WVFGRD96 2.0 220 90 0 3.56 0.6177
WVFGRD96 3.0 40 85 -5 3.62 0.6800
WVFGRD96 4.0 40 65 -5 3.67 0.7092
WVFGRD96 5.0 215 55 -15 3.72 0.7592
WVFGRD96 6.0 215 55 -15 3.74 0.7922
WVFGRD96 7.0 215 55 -10 3.74 0.8094
WVFGRD96 8.0 210 50 -25 3.80 0.8225
WVFGRD96 9.0 215 55 -15 3.80 0.8279
WVFGRD96 10.0 215 55 -15 3.81 0.8290
WVFGRD96 11.0 215 60 -15 3.82 0.8300
WVFGRD96 12.0 215 60 -15 3.83 0.8280
WVFGRD96 13.0 215 60 -15 3.84 0.8233
WVFGRD96 14.0 215 65 -15 3.85 0.8187
WVFGRD96 15.0 215 65 -15 3.86 0.8122
WVFGRD96 16.0 215 65 -10 3.87 0.8048
WVFGRD96 17.0 215 65 -10 3.88 0.7962
WVFGRD96 18.0 215 65 -10 3.89 0.7862
WVFGRD96 19.0 215 65 -10 3.90 0.7752
WVFGRD96 20.0 215 65 -10 3.91 0.7632
WVFGRD96 21.0 215 65 -10 3.92 0.7499
WVFGRD96 22.0 215 65 -10 3.93 0.7353
WVFGRD96 23.0 215 65 -10 3.93 0.7203
WVFGRD96 24.0 215 65 -10 3.94 0.7036
WVFGRD96 25.0 215 65 -10 3.95 0.6860
WVFGRD96 26.0 215 65 -5 3.95 0.6678
WVFGRD96 27.0 215 65 -5 3.95 0.6496
WVFGRD96 28.0 215 65 -5 3.96 0.6311
WVFGRD96 29.0 215 65 -10 3.97 0.6126
The best solution is
WVFGRD96 11.0 215 60 -15 3.82 0.8300
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 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 n 3 br c 0.12 0.25 n 4 p 2
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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