The ANSS event ID is ak0157mvsl0s and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0157mvsl0s/executive.
2015/06/15 21:13:40 63.239 -150.622 129.8 4 Alaska
USGS/SLU Moment Tensor Solution ENS 2015/06/15 21:13:40:0 63.24 -150.62 129.8 4.0 Alaska Stations used: AK.CCB AK.CUT AK.DOT AK.FIRE AK.GHO AK.GLI AK.HDA AK.HIN AK.KLU AK.KNK AK.KTH AK.MCK AK.MDM AK.MLY AK.NEA2 AK.PAX AK.PWL AK.RC01 AK.RND AK.SAW AK.SCM AK.SKN AK.SSN AK.TRF AK.WAT3 AK.WAT4 AK.WRH AT.PMR AT.TTA IM.IL31 IU.COLA TA.I23K TA.POKR TA.TCOL Filtering commands used: cut a -20 a 100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.10 n 3 Best Fitting Double Couple Mo = 1.30e+22 dyne-cm Mw = 4.01 Z = 110 km Plane Strike Dip Rake NP1 40 75 60 NP2 286 33 152 Principal Axes: Axis Value Plunge Azimuth T 1.30e+22 51 276 N 0.00e+00 29 49 P -1.30e+22 24 153 Moment Tensor: (dyne-cm) Component Value Mxx -8.53e+21 Mxy 3.87e+21 Mxz 4.99e+21 Myy 2.89e+21 Myz -8.57e+21 Mzz 5.64e+21 -------------- ---------------------- ---------------------------# --------#########-----------## ----#####################----##### --################################## -############################---###### -############################------##### ############################--------#### ########## ###############-----------### ########## T ##############------------### ########## ############---------------## ########################-----------------# #####################------------------- ###################--------------------- ################---------------------- #############----------------------- ##########------------- -------- ######--------------- P ------ #------------------- ----- ---------------------- -------------- Global CMT Convention Moment Tensor: R T P 5.64e+21 4.99e+21 8.57e+21 4.99e+21 -8.53e+21 -3.87e+21 8.57e+21 -3.87e+21 2.89e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20150615211340/index.html |
STK = 40 DIP = 75 RAKE = 60 MW = 4.01 HS = 110.0
The NDK file is 20150615211340.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: 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 -20 a 100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.10 n 3The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 50.0 215 75 -40 3.83 0.3119 WVFGRD96 52.0 210 75 -30 3.85 0.3263 WVFGRD96 54.0 210 75 -30 3.87 0.3441 WVFGRD96 56.0 210 80 -30 3.88 0.3600 WVFGRD96 58.0 210 80 -30 3.90 0.3757 WVFGRD96 60.0 35 85 30 3.90 0.3909 WVFGRD96 62.0 35 85 30 3.91 0.4060 WVFGRD96 64.0 35 85 35 3.92 0.4191 WVFGRD96 66.0 35 80 35 3.93 0.4306 WVFGRD96 68.0 35 80 35 3.94 0.4418 WVFGRD96 70.0 35 80 35 3.94 0.4517 WVFGRD96 72.0 35 80 35 3.95 0.4587 WVFGRD96 74.0 35 80 40 3.95 0.4661 WVFGRD96 76.0 35 80 40 3.95 0.4719 WVFGRD96 78.0 35 80 40 3.96 0.4802 WVFGRD96 80.0 35 80 40 3.96 0.4885 WVFGRD96 82.0 35 80 45 3.97 0.4968 WVFGRD96 84.0 35 80 45 3.97 0.5044 WVFGRD96 86.0 35 80 45 3.98 0.5103 WVFGRD96 88.0 35 80 50 3.98 0.5176 WVFGRD96 90.0 35 80 50 3.98 0.5224 WVFGRD96 92.0 35 80 50 3.99 0.5284 WVFGRD96 94.0 40 75 55 3.98 0.5334 WVFGRD96 96.0 40 75 55 3.99 0.5372 WVFGRD96 98.0 40 75 55 3.99 0.5428 WVFGRD96 100.0 40 75 55 3.99 0.5463 WVFGRD96 102.0 40 75 55 4.00 0.5471 WVFGRD96 104.0 40 75 60 4.00 0.5505 WVFGRD96 106.0 40 75 60 4.00 0.5513 WVFGRD96 108.0 40 75 60 4.01 0.5528 WVFGRD96 110.0 40 75 60 4.01 0.5543 WVFGRD96 112.0 40 75 60 4.01 0.5537 WVFGRD96 114.0 40 75 60 4.01 0.5536 WVFGRD96 116.0 40 75 65 4.02 0.5533 WVFGRD96 118.0 40 75 65 4.02 0.5538 WVFGRD96 120.0 40 75 65 4.02 0.5535 WVFGRD96 122.0 40 75 65 4.02 0.5530 WVFGRD96 124.0 40 75 65 4.02 0.5509 WVFGRD96 126.0 40 75 65 4.03 0.5504 WVFGRD96 128.0 40 75 65 4.03 0.5502 WVFGRD96 130.0 40 75 65 4.03 0.5477 WVFGRD96 132.0 40 75 65 4.03 0.5464 WVFGRD96 134.0 40 75 70 4.04 0.5463 WVFGRD96 136.0 40 75 70 4.04 0.5436 WVFGRD96 138.0 40 75 70 4.04 0.5417
The best solution is
WVFGRD96 110.0 40 75 60 4.01 0.5543
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 -20 a 100 rtr taper w 0.1 hp c 0.02 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. |
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