2005/07/27 15:51:46 45.39N 112.62W 5 4.2 Montana
USGS Felt map for this earthquake
USGS Felt reports page for Intermountain Western US
SLU Moment Tensor Solution
2005/07/27 15:51:46 45.39N 112.62W 5 4.2 Montana
Best Fitting Double Couple
Mo = 1.05e+22 dyne-cm
Mw = 3.98
Z = 12 km
Plane Strike Dip Rake
NP1 102 74 -143
NP2 360 55 -20
Principal Axes:
Axis Value Plunge Azimuth
T 1.05e+22 12 227
N 0.00e+00 50 122
P -1.05e+22 37 326
Moment Tensor: (dyne-cm)
Component Value
Mxx 7.85e+14
Mxy 8.06e+21
Mxz -5.64e+21
Myy 3.37e+21
Myz 1.22e+21
Mzz -3.37e+21
---------#####
--------------########
-------------------#########
---------------------#########
-------- -------------##########
--------- P -------------###########
---------- --------------###########
----------------------------############
-----------------------------###########
###---------------------------############
######------------------------############
##########--------------------############
###############---------------############
######################-------##########-
############################------------
###########################-----------
### ###################-----------
## T ###################----------
##################---------
###################---------
##############--------
#########-----
Harvard Convention
Moment Tensor:
R T F
-3.37e+21 -5.64e+21 -1.22e+21
-5.64e+21 7.85e+14 -8.06e+21
-1.22e+21 -8.06e+21 3.37e+21
Details of the solution is found at
http://www.eas.slu.edu/Earthquake_Center/NEW/20050727155146/index.html
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The focal mechanism was determined using broadband seismic waveforms. The location of the event and the station distribution are given in Figure 1.
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STK = 360
DIP = 55
RAKE = -20
MW = 3.98
HS = 12
The source parameters determined by both techniques are virtually the same. The parameters given here are those of the waveform fit.
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 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:
hp c 0.02 3 lp c 0.14 3 br c 0.12 0.2 n 8 p 2The results of this grid search from 0.5 to 19 km depth are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 0.5 190 70 20 3.45 0.2553
WVFGRD96 1.0 185 85 0 3.51 0.2882
WVFGRD96 2.0 185 90 0 3.66 0.3861
WVFGRD96 3.0 185 90 0 3.76 0.4366
WVFGRD96 4.0 185 90 0 3.80 0.4135
WVFGRD96 5.0 185 90 5 3.83 0.3701
WVFGRD96 6.0 100 80 25 3.85 0.3793
WVFGRD96 7.0 360 50 -20 3.86 0.4350
WVFGRD96 8.0 360 50 -20 3.92 0.4817
WVFGRD96 9.0 360 50 -20 3.94 0.5147
WVFGRD96 10.0 360 50 -20 3.95 0.5345
WVFGRD96 11.0 360 55 -20 3.97 0.5444
WVFGRD96 12.0 360 55 -20 3.98 0.5485
WVFGRD96 13.0 360 55 -20 3.99 0.5475
WVFGRD96 14.0 360 55 -15 3.99 0.5443
WVFGRD96 15.0 360 55 -15 4.00 0.5388
WVFGRD96 16.0 10 55 0 4.01 0.5347
WVFGRD96 17.0 10 55 0 4.02 0.5297
WVFGRD96 18.0 10 55 0 4.02 0.5230
WVFGRD96 19.0 10 60 0 4.04 0.5150
The best solution is
WVFGRD96 12.0 360 55 -20 3.98 0.5485
The mechanism correspond 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 componnet is plotted to the same scale and peak amplitudes are indicated by the numbers to the left of each trace. The number in black at the rightr of each predicted traces 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 and because the velocity model used in the predictions may not be perfect. 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 bandpass filter used in the processing and for the display was
hp c 0.02 3 lp c 0.14 3 br c 0.12 0.2 n 8 p 2
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| Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to thewavefroms. 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. |
NODAL PLANES
STK= 99.99
DIP= 79.99
RAKE= -145.00
OR
STK= 3.06
DIP= 55.61
RAKE= -12.15
DEPTH = 10.0 km
Mw = 4.03
Best Fit 0.8458 - P-T axis plot gives solutions with FIT greater than FIT90
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The P-wave first motion data for focal mechanism studies are as follow:
Sta Az(deg) Dist(km) First motion MSO 328 190 eP_- HLID 216 248 iP_C REDW 147 265 iP_D AHID 157 316 eP_+ BW06 139 381 eP_X WALA 347 420 -12345 HWUT 168 429 eP_X
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.
The velocity model used for the search is a modified Utah model .
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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| 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. |
Sta Az(deg) Dist(km) MSO 328 190 HLID 216 248 REDW 147 265 AHID 157 316 BW06 139 381 WALA 347 420 HWUT 168 429 LAO 71 516 PNT 312 686 LON 285 727 TTW 294 742 SLEB 330 762 EDM 357 873 TPH 207 898 LLLB 313 902 WDC 240 969 SDCO 143 1035 DAC 204 1095 GSC 199 1175 ISA 207 1188 SAO 221 1210 CBKS 120 1290 MWC 202 1323 ULM 61 1362 GLA 189 1383 BAR 195 1453 TUC 173 1460 KSU1 112 1491 MNTX 155 1644 YKW3 357 1916 LTX 153 1947 CCM 107 1949 FVM 106 2014 NATX 128 2167 USIN 103 2225 OXF 113 2310 WCI 101 2316 LRAL 113 2586 NHSC 105 3087 PAL 85 3154 DWPF 114 3348
Since the analysis of the surface-wave radiation patterns uses only spectral amplitudes and because the surfave-wave radiation patterns have a 180 degree symmetry, each surface-wave solution consists of four possible focal mechanisms corresponding to the interchange of the P- and T-axes and a roation of the mechanism by 180 degrees. To select one mechanism, P-wave first motion can be used. This was not possible in this case because all the P-wave first motions were emergent ( a feature of the P-wave wave takeoff angle, the station location and the mechanism). The other way to select among the mechanisms is to compute forward synthetics and compare the observed and predicted waveforms.
The velocity model used for the waveform fit is a modified Utah model .
The fits to the waveforms with the given mechanism are show below:
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This figure shows the fit to the three components of motion (Z - vertical, R-radial and T - transverse). For each station and component, the observed traces is shown in red and the model predicted trace in blue. The traces represent filtered ground velocity in units of meters/sec (the peak value is printed adjacent to each trace; each pair of traces to plotted to the same scale to emphasize the difference in levels). Both synthetic and observed traces have been filtered using the SAC commands:
hp c 0.02 3 lp c 0.14 3 br c 0.12 0.2 n 8 p 2
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Should the national backbone of the USGS Advanced National Seismic System (ANSS) be implemented with an interstation separation of 300 km, it is very likely that an earthquake such as this would have been recorded at distances on the order of 100-200 km. This means that the closest station would have information on source depth and mechanism that was lacking here.
Dr. Harley Benz, USGS, provided the USGS USNSN digital data.
The figures below show the observed spectral amplitudes (units of cm-sec) at each station and the
theoretical predictions as a function of period for the mechanism given above. The modified Utah model earth model
was used to define the Green's functions. For each station, the Love and Rayleigh wave spectrail amplitudes are plotted with the same scaling so that one can get a sense fo the effects of the effects of the focal mechanism and depth on the excitation of each.
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Here we tabulate the reasons for not using certain digital data sets
The following stations did not have a valid response files:
