The ANSS event ID is nc51183469 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/nc51183469/executive.
2007/06/25 02:32:26 41.115 -124.825 2.6 5 California
USGS/SLU Moment Tensor Solution ENS 2007/06/25 02:32:26:0 41.12 -124.82 2.6 5.0 California Stations used: BK.CMB BK.HOPS BK.HUMO BK.MCCM BK.MOD BK.SAO BK.YBH TA.ELFS TA.HATC TA.M01C TA.M02C TA.M03C TA.M04C TA.M05C TA.M06C TA.N08A TA.O01C TA.O02C TA.P01C TA.P05C TA.Q04C US.BMO US.HAWA US.NLWA US.WVOR Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.05 n 3 br c 0.12 0.25 n 4 p 2 Best Fitting Double Couple Mo = 2.29e+23 dyne-cm Mw = 4.84 Z = 24 km Plane Strike Dip Rake NP1 127 80 165 NP2 220 75 10 Principal Axes: Axis Value Plunge Azimuth T 2.29e+23 18 83 N 0.00e+00 72 276 P -2.29e+23 4 174 Moment Tensor: (dyne-cm) Component Value Mxx -2.23e+23 Mxy 4.76e+22 Mxz 2.26e+22 Myy 2.03e+23 Myz 6.39e+22 Mzz 1.99e+22 -------------- ---------------------- ---------------------------# ------------------------###### #-----------------------########## ###--------------------############# ######----------------################ #########------------################### ###########--------################# # ##############----################### T ## ################-#################### ## ###############---######################## ##############-------##################### ############----------################## ###########--------------############### #########------------------########### #######----------------------####### #####---------------------------## ##---------------------------- #--------------------------- ------------ ------- -------- P --- Global CMT Convention Moment Tensor: R T P 1.99e+22 2.26e+22 -6.39e+22 2.26e+22 -2.23e+23 -4.76e+22 -6.39e+22 -4.76e+22 2.03e+23 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20070625023226/index.html |
STK = 220 DIP = 75 RAKE = 10 MW = 4.84 HS = 24.0
The NDK file is 20070625023226.ndk The waveform inversion is preferred.
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.
USGS/SLU Moment Tensor Solution ENS 2007/06/25 02:32:26:0 41.12 -124.82 2.6 5.0 California Stations used: BK.CMB BK.HOPS BK.HUMO BK.MCCM BK.MOD BK.SAO BK.YBH TA.ELFS TA.HATC TA.M01C TA.M02C TA.M03C TA.M04C TA.M05C TA.M06C TA.N08A TA.O01C TA.O02C TA.P01C TA.P05C TA.Q04C US.BMO US.HAWA US.NLWA US.WVOR Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.05 n 3 br c 0.12 0.25 n 4 p 2 Best Fitting Double Couple Mo = 2.29e+23 dyne-cm Mw = 4.84 Z = 24 km Plane Strike Dip Rake NP1 127 80 165 NP2 220 75 10 Principal Axes: Axis Value Plunge Azimuth T 2.29e+23 18 83 N 0.00e+00 72 276 P -2.29e+23 4 174 Moment Tensor: (dyne-cm) Component Value Mxx -2.23e+23 Mxy 4.76e+22 Mxz 2.26e+22 Myy 2.03e+23 Myz 6.39e+22 Mzz 1.99e+22 -------------- ---------------------- ---------------------------# ------------------------###### #-----------------------########## ###--------------------############# ######----------------################ #########------------################### ###########--------################# # ##############----################### T ## ################-#################### ## ###############---######################## ##############-------##################### ############----------################## ###########--------------############### #########------------------########### #######----------------------####### #####---------------------------## ##---------------------------- #--------------------------- ------------ ------- -------- P --- Global CMT Convention Moment Tensor: R T P 1.99e+22 2.26e+22 -6.39e+22 2.26e+22 -2.23e+23 -4.76e+22 -6.39e+22 -4.76e+22 2.03e+23 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20070625023226/index.html |
Moment Tensor (Mw) Moment 3.367e+16 N-m Magnitude 4.95 Mw Depth 18.0 km Percent DC 89% Half Duration - Catalog NC Data Source NC 1 Contributor NC 1 Nodal Planes Plane Strike Dip Rake NP1 221 70 6 NP2 128 84 160 Principal Axes Axis Value Plunge Azimuth T 3.270e+16 18 83 N 0.187e+16 69 294 P -3.456e+16 10 176 |
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 o DIST/3.3 -40 o DIST/3.3 +100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.05 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 0.5 225 75 20 4.47 0.2106 WVFGRD96 1.0 225 75 15 4.49 0.2244 WVFGRD96 2.0 225 70 20 4.58 0.2742 WVFGRD96 3.0 225 70 20 4.60 0.2895 WVFGRD96 4.0 220 70 5 4.61 0.3015 WVFGRD96 5.0 30 65 -25 4.66 0.3151 WVFGRD96 6.0 25 60 -35 4.71 0.3249 WVFGRD96 7.0 30 70 -20 4.69 0.3319 WVFGRD96 8.0 25 65 -30 4.74 0.3410 WVFGRD96 9.0 215 70 -5 4.71 0.3459 WVFGRD96 10.0 215 70 -5 4.72 0.3485 WVFGRD96 11.0 215 70 0 4.73 0.3501 WVFGRD96 12.0 215 70 0 4.74 0.3513 WVFGRD96 13.0 215 70 0 4.75 0.3522 WVFGRD96 14.0 220 70 5 4.75 0.3531 WVFGRD96 15.0 220 75 10 4.76 0.3553 WVFGRD96 16.0 220 75 10 4.77 0.3575 WVFGRD96 17.0 220 75 10 4.78 0.3595 WVFGRD96 18.0 220 75 10 4.78 0.3613 WVFGRD96 19.0 220 75 10 4.79 0.3629 WVFGRD96 20.0 220 75 10 4.80 0.3643 WVFGRD96 21.0 220 75 10 4.81 0.3654 WVFGRD96 22.0 220 75 10 4.82 0.3661 WVFGRD96 23.0 220 75 10 4.83 0.3665 WVFGRD96 24.0 220 75 10 4.84 0.3665 WVFGRD96 25.0 220 75 10 4.84 0.3663 WVFGRD96 26.0 220 75 10 4.85 0.3658 WVFGRD96 27.0 220 75 10 4.86 0.3650 WVFGRD96 28.0 220 75 10 4.87 0.3641 WVFGRD96 29.0 220 75 10 4.88 0.3631
The best solution is
WVFGRD96 24.0 220 75 10 4.84 0.3665
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 -40 o DIST/3.3 +100 rtr taper w 0.1 hp c 0.02 n 3 lp c 0.05 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 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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The surface-wave determined focal mechanism is shown here.
NODAL PLANES STK= 129.99 DIP= 90.00 RAKE= 24.99 OR STK= 39.99 DIP= 65.01 RAKE= 179.99 DEPTH = 9.0 km Mw = 4.83 Best Fit 0.8799 - P-T axis plot gives solutions with FIT greater than FIT90
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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.
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. |
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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