Location

Location ANSS

The ANSS event ID is uw61965081 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/uw61965081/executive.

2023/10/09 02:21:08 48.033 -122.707 57.0 4.34 Washington

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2023/10/09 02:21:08:0 48.03 -122.71 57.0 4.3 Washington Stations used: CC.ELBE CN.CLRS CN.PGC US.NLWA UW.AGNW UW.BHW UW.DEAL UW.GNW UW.HILL UW.KALA UW.LON UW.LRIV UW.LUMI UW.PAN4H UW.PASS UW.PHIN UW.RADR UW.SHUK UW.SNAG UW.TOLE UW.WA2 UW.WATCH UW.WRW UW.YELM 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 0.08 n 3 Best Fitting Double Couple Mo = 2.34e+22 dyne-cm Mw = 4.18 Z = 54 km Plane Strike Dip Rake NP1 140 80 65 NP2 30 27 157 Principal Axes: Axis Value Plunge Azimuth T 2.34e+22 49 23 N 0.00e+00 25 145 P -2.34e+22 31 250 Moment Tensor: (dyne-cm) Component Value Mxx 6.61e+21 Mxy -1.88e+21 Mxz 1.42e+22 Myy -1.39e+22 Myz 1.42e+22 Mzz 7.27e+21 ############## ###################### -#########################-- ---##########################- -----############### #########-- -------############## T #########--- ----------############ ##########--- ------------########################---- -------------#######################---- ----------------#####################----- -----------------####################----- ------------------###################----- ------ -----------################------ ----- P -------------##############----- ----- --------------############------ -----------------------#########------ ------------------------######------ -------------------------##------- -----------------------##----- --------------------#######- -------------######### ############## Global CMT Convention Moment Tensor: R T P 7.27e+21 1.42e+22 -1.42e+22 1.42e+22 6.61e+21 1.88e+21 -1.42e+22 1.88e+21 -1.39e+22 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20231009022108/index.html

Preferred Solution

The preferred solution from an analysis of the surface-wave spectral amplitude radiation pattern, waveform inversion or first motion observations is

      STK = 140
      DIP = 80
     RAKE = 65
       MW = 4.18
       HS = 54.0

The NDK file is 20231009022108.ndk The waveform inversion is preferred.

Magnitudes

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 M_L by application of the respective IASPEI formulae. As a research study, the linear distance term of the IASPEI formula for M_L is adjusted to remove a linear distance trend in residuals to give a regionally defined M_L. The defined M_L 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.

ML Magnitude

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.

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.

Location of broadband stations used for waveform inversion

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 0.08 n 3

The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   335    45   -90   3.45 0.2296
WVFGRD96    4.0    35    40     0   3.48 0.2232
WVFGRD96    6.0    40    45    15   3.52 0.2654
WVFGRD96    8.0    40    40    10   3.60 0.2904
WVFGRD96   10.0   115    75   -40   3.63 0.3071
WVFGRD96   12.0   290    65   -40   3.67 0.3336
WVFGRD96   14.0   290    65   -35   3.70 0.3521
WVFGRD96   16.0   290    65   -35   3.72 0.3668
WVFGRD96   18.0   295    70   -35   3.74 0.3792
WVFGRD96   20.0   130    65    40   3.77 0.3903
WVFGRD96   22.0   130    65    45   3.79 0.4037
WVFGRD96   24.0   130    70    40   3.81 0.4159
WVFGRD96   26.0   125    85    45   3.83 0.4339
WVFGRD96   28.0   130    80    50   3.85 0.4572
WVFGRD96   30.0   130    80    50   3.88 0.4802
WVFGRD96   32.0   130    80    55   3.90 0.5055
WVFGRD96   34.0   135    80    55   3.92 0.5282
WVFGRD96   36.0   135    80    60   3.94 0.5463
WVFGRD96   38.0   140    75    60   3.96 0.5661
WVFGRD96   40.0   140    80    70   4.09 0.5854
WVFGRD96   42.0   140    80    70   4.11 0.6063
WVFGRD96   44.0   140    80    65   4.12 0.6268
WVFGRD96   46.0   140    80    65   4.14 0.6429
WVFGRD96   48.0   140    80    65   4.15 0.6550
WVFGRD96   50.0   140    80    65   4.16 0.6638
WVFGRD96   52.0   140    80    65   4.17 0.6706
WVFGRD96   54.0   140    80    65   4.18 0.6737
WVFGRD96   56.0   140    80    65   4.19 0.6732
WVFGRD96   58.0   140    80    65   4.20 0.6704
WVFGRD96   60.0   140    80    65   4.20 0.6648
WVFGRD96   62.0   140    80    65   4.21 0.6571
WVFGRD96   64.0   140    80    60   4.21 0.6477
WVFGRD96   66.0   140    80    60   4.22 0.6370
WVFGRD96   68.0   140    80    60   4.22 0.6254
WVFGRD96   70.0   135    85    65   4.23 0.6130
WVFGRD96   72.0   140    80    60   4.23 0.6018
WVFGRD96   74.0   135    85    65   4.23 0.5904
WVFGRD96   76.0   135    85    60   4.24 0.5785
WVFGRD96   78.0   135    85    60   4.24 0.5668
WVFGRD96   80.0   135    85    60   4.24 0.5564
WVFGRD96   82.0   135    85    60   4.25 0.5446
WVFGRD96   84.0   135    85    60   4.25 0.5331
WVFGRD96   86.0   135    85    60   4.25 0.5220
WVFGRD96   88.0   135    85    55   4.25 0.5109
WVFGRD96   90.0   135    85    55   4.26 0.5000
WVFGRD96   92.0   135    85    55   4.26 0.4896
WVFGRD96   94.0   135    85    55   4.26 0.4781
WVFGRD96   96.0   135    85    55   4.26 0.4680
WVFGRD96   98.0   135    85    55   4.26 0.4570

The best solution is

WVFGRD96   54.0   140    80    65   4.18 0.6737

The mechanism corresponding to the best fit is

Figure 1. Waveform inversion focal mechanism

The best fit as a function of depth is given in the following figure:

Figure 2. Depth sensitivity for waveform mechanism

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 0.08 n 3

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.

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:

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.

Velocity Model

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

Last Changed Tue Apr 23 04:13:44 AM CDT 2024