Location
SLU Location
To check the ANSS location or to compare the observed P-wave first motions to the moment tensor solution, P- and S-wave first arrival times were manually read together with the P-wave first motions. The subsequent output of the program elocate is given in the file elocate.txt. The first motion plot is shown below.
Location ANSS
The ANSS event ID is nm605053 and the event page is at
https://earthquake.usgs.gov/earthquakes/eventpage/nm605053/executive.
2002/06/18 17:37:17 38.000 -87.756 16.1 4.6 Indiana
Focal Mechanism
USGS/SLU Moment Tensor Solution
ENS 2002/06/18 17:37:17:0 38.00 -87.76 16.1 4.6 Indiana
Stations used:
IU.CCM IU.WCI IU.WVT NM.BLO NM.MPH NM.PLAL NM.SIUC NM.SLM
NM.UALR NM.UTMT SP.DWDAN US.ACSO US.BLA US.GOGA US.JFWS
US.MIAR US.MYNC US.OXF
Filtering commands used:
cut o DIST/3.3 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
Best Fitting Double Couple
Mo = 6.61e+22 dyne-cm
Mw = 4.48
Z = 16 km
Plane Strike Dip Rake
NP1 125 90 10
NP2 35 80 180
Principal Axes:
Axis Value Plunge Azimuth
T 6.61e+22 7 350
N 0.00e+00 80 125
P -6.61e+22 7 260
Moment Tensor: (dyne-cm)
Component Value
Mxx 6.11e+22
Mxy -2.23e+22
Mxz 9.40e+21
Myy -6.11e+22
Myz 6.58e+21
Mzz -1.00e+15
## T #########
###### #############
##########################--
##########################----
###########################-------
---########################---------
-------####################-----------
-----------################-------------
-------------#############--------------
-----------------#########----------------
--------------------#####-----------------
-------------------#-------------------
P -------------------###-----------------
------------------#######-------------
------------------###########-----------
----------------###############-------
-------------####################---
-----------#######################
-------#######################
----########################
######################
##############
Global CMT Convention Moment Tensor:
R T P
-1.00e+15 9.40e+21 -6.58e+21
9.40e+21 6.11e+22 2.23e+22
-6.58e+21 2.23e+22 -6.11e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20020618173717/index.html
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Preferred Solution
The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion or first motion observations is
STK = 125
DIP = 90
RAKE = 10
MW = 4.48
HS = 16.0
The NDK file is 20020618173717.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 |
SLUFM |
USGS/SLU Moment Tensor Solution
ENS 2002/06/18 17:37:17:0 38.00 -87.76 16.1 4.6 Indiana
Stations used:
IU.CCM IU.WCI IU.WVT NM.BLO NM.MPH NM.PLAL NM.SIUC NM.SLM
NM.UALR NM.UTMT SP.DWDAN US.ACSO US.BLA US.GOGA US.JFWS
US.MIAR US.MYNC US.OXF
Filtering commands used:
cut o DIST/3.3 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
Best Fitting Double Couple
Mo = 6.61e+22 dyne-cm
Mw = 4.48
Z = 16 km
Plane Strike Dip Rake
NP1 125 90 10
NP2 35 80 180
Principal Axes:
Axis Value Plunge Azimuth
T 6.61e+22 7 350
N 0.00e+00 80 125
P -6.61e+22 7 260
Moment Tensor: (dyne-cm)
Component Value
Mxx 6.11e+22
Mxy -2.23e+22
Mxz 9.40e+21
Myy -6.11e+22
Myz 6.58e+21
Mzz -1.00e+15
## T #########
###### #############
##########################--
##########################----
###########################-------
---########################---------
-------####################-----------
-----------################-------------
-------------#############--------------
-----------------#########----------------
--------------------#####-----------------
-------------------#-------------------
P -------------------###-----------------
------------------#######-------------
------------------###########-----------
----------------###############-------
-------------####################---
-----------#######################
-------#######################
----########################
######################
##############
Global CMT Convention Moment Tensor:
R T P
-1.00e+15 9.40e+21 -6.58e+21
9.40e+21 6.11e+22 2.23e+22
-6.58e+21 2.23e+22 -6.11e+22
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20020618173717/index.html
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First motions and takeoff angles from an elocate run.
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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 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 n 3
The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 0.5 30 75 25 4.15 0.3803
WVFGRD96 1.0 290 70 -25 4.19 0.4024
WVFGRD96 2.0 295 90 5 4.19 0.4371
WVFGRD96 3.0 300 90 -10 4.23 0.4455
WVFGRD96 4.0 295 75 -15 4.24 0.4464
WVFGRD96 5.0 295 70 -15 4.26 0.4628
WVFGRD96 6.0 295 70 -15 4.27 0.4879
WVFGRD96 7.0 295 75 -15 4.29 0.5159
WVFGRD96 8.0 295 75 -15 4.31 0.5433
WVFGRD96 9.0 300 80 -10 4.35 0.5759
WVFGRD96 10.0 305 80 -10 4.39 0.6093
WVFGRD96 11.0 305 80 -10 4.41 0.6385
WVFGRD96 12.0 305 80 -10 4.42 0.6613
WVFGRD96 13.0 305 85 -10 4.44 0.6807
WVFGRD96 14.0 305 85 -10 4.45 0.6943
WVFGRD96 15.0 305 85 -10 4.47 0.7017
WVFGRD96 16.0 125 90 10 4.48 0.7049
WVFGRD96 17.0 125 90 10 4.49 0.7039
WVFGRD96 18.0 305 85 -10 4.51 0.7010
WVFGRD96 19.0 305 85 -10 4.52 0.6955
WVFGRD96 20.0 305 85 -10 4.54 0.6876
WVFGRD96 21.0 125 90 10 4.54 0.6736
WVFGRD96 22.0 305 85 -10 4.55 0.6619
WVFGRD96 23.0 305 85 -10 4.56 0.6437
WVFGRD96 24.0 305 85 -10 4.57 0.6262
WVFGRD96 25.0 305 85 -10 4.57 0.6067
WVFGRD96 26.0 300 80 -5 4.57 0.5865
WVFGRD96 27.0 300 80 -5 4.57 0.5677
WVFGRD96 28.0 300 80 -5 4.58 0.5490
WVFGRD96 29.0 300 80 -5 4.58 0.5288
The best solution is
WVFGRD96 16.0 125 90 10 4.48 0.7049
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 -40 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3
lp c 0.10 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.
Surface-Wave Focal Mechanism
The following figure shows the stations used in the grid search for the best focal mechanism to fit the surface-wave spectral amplitudes of the Love and Rayleigh waves.
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Location of broadband stations used to obtain focal mechanism from surface-wave spectral amplitudes
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The surface-wave determined focal mechanism is shown here.
NODAL PLANES
STK= 30.00
DIP= 84.99
RAKE= -170.00
OR
STK= 299.12
DIP= 80.04
RAKE= -5.08
DEPTH = 19.0 km
Mw = 4.58
Best Fit 0.8834 - P-T axis plot gives solutions with FIT greater than FIT90
Surface-wave analysis
Surface wave analysis was performed using codes from
Computer Programs in Seismology, specifically the
multiple filter analysis program do_mft and the surface-wave
radiation pattern search program srfgrd96.
Data preparation
Digital data were collected, instrument response removed and traces converted
to Z, R an T components. Multiple filter analysis was applied to the Z and T traces to obtain the Rayleigh- and Love-wave spectral amplitudes, respectively.
These were input to the search program which examined all depths between 1 and 25 km
and all possible mechanisms.
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Best mechanism fit as a function of depth. The preferred depth is given above. Lower hemisphere projection
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Pressure-tension axis trends. Since the surface-wave spectra search does not distinguish between P and T axes and since there is a 180 ambiguity in strike, all possible P and T axes are plotted. First motion data and waveforms will be used to select the preferred mechanism. The purpose of this plot is to provide an idea of the
possible range of solutions. The P and T-axes for all mechanisms with goodness of fit greater than 0.9 FITMAX (above) are plotted here.
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Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the Love and Rayleigh wave radiation patterns.
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. Because of the symmetry of the spectral amplitude rediation patterns, only strikes from 0-180 degrees are sampled.
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Love-wave radiation patterns
Rayleigh-wave radiation patterns
