Location

Location ANSS

The ANSS event ID is ak0226kn9sac and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak0226kn9sac/executive.

2022/05/23 09:10:53 59.512 -152.044 55.0 4 Alaska

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2022/05/23 09:10:53:0 59.51 -152.04 55.0 4.0 Alaska Stations used: AK.HOM AK.N19K AK.O18K AK.O19K AK.SWD AV.ILS AV.RED AV.SPCP 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 = 1.72e+22 dyne-cm Mw = 4.09 Z = 64 km Plane Strike Dip Rake NP1 35 75 65 NP2 276 29 148 Principal Axes: Axis Value Plunge Azimuth T 1.72e+22 53 275 N 0.00e+00 24 42 P -1.72e+22 26 144 Moment Tensor: (dyne-cm) Component Value Mxx -9.15e+21 Mxy 6.06e+21 Mxz 6.19e+21 Myy 1.37e+21 Myz -1.21e+22 Mzz 7.78e+21 -------------- ---------------------- --------------------------## -------##############-----#### -----######################-###### ---#########################---##### --##########################------#### --##########################---------### -##########################-----------## -######### ##############-------------## ########## T #############---------------# ########## ############----------------# ########################------------------ #####################------------------- ####################-------------------- #################--------------------- ###############----------- ------- ############------------- P ------ ########--------------- ---- ####------------------------ ---------------------- -------------- Global CMT Convention Moment Tensor: R T P 7.78e+21 6.19e+21 1.21e+22 6.19e+21 -9.15e+21 -6.06e+21 1.21e+22 -6.06e+21 1.37e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20220523091053/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 = 35
      DIP = 75
     RAKE = 65
       MW = 4.09
       HS = 64.0

The NDK file is 20220523091053.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 0.10 n 3

The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    2.0   225    75   -20   3.13 0.2428
WVFGRD96    4.0   230    75     5   3.23 0.2945
WVFGRD96    6.0   230    75    -5   3.31 0.3206
WVFGRD96    8.0    50    65   -15   3.40 0.3477
WVFGRD96   10.0    50    65   -10   3.46 0.3648
WVFGRD96   12.0    45    65   -10   3.52 0.3756
WVFGRD96   14.0    45    65   -10   3.55 0.3837
WVFGRD96   16.0    45    75    15   3.58 0.3910
WVFGRD96   18.0    45    75    15   3.61 0.4015
WVFGRD96   20.0    45    75    20   3.63 0.4125
WVFGRD96   22.0    50    70    25   3.65 0.4255
WVFGRD96   24.0    50    70    30   3.67 0.4387
WVFGRD96   26.0    50    70    35   3.68 0.4524
WVFGRD96   28.0    50    70    40   3.70 0.4658
WVFGRD96   30.0    45    70    40   3.73 0.4853
WVFGRD96   32.0    45    70    40   3.75 0.5049
WVFGRD96   34.0    45    70    45   3.77 0.5309
WVFGRD96   36.0    45    70    45   3.79 0.5496
WVFGRD96   38.0    45    70    50   3.81 0.5721
WVFGRD96   40.0    45    70    60   3.93 0.5758
WVFGRD96   42.0    45    70    55   3.95 0.5909
WVFGRD96   44.0    50    65    60   3.98 0.6034
WVFGRD96   46.0    50    65    55   3.99 0.6139
WVFGRD96   48.0    50    65    60   4.01 0.6190
WVFGRD96   50.0    35    70    65   4.04 0.6376
WVFGRD96   52.0    35    70    65   4.06 0.6506
WVFGRD96   54.0    35    70    65   4.07 0.6618
WVFGRD96   56.0    35    70    70   4.08 0.6714
WVFGRD96   58.0    40    70    75   4.08 0.6723
WVFGRD96   60.0    40    70    75   4.09 0.6777
WVFGRD96   62.0    35    75    65   4.08 0.6744
WVFGRD96   64.0    35    75    65   4.09 0.6781
WVFGRD96   66.0    35    75    65   4.09 0.6716
WVFGRD96   68.0    35    75    70   4.10 0.6707
WVFGRD96   70.0    30    80    65   4.09 0.6610
WVFGRD96   72.0    35    80    70   4.08 0.6619
WVFGRD96   74.0    35    80    70   4.09 0.6542
WVFGRD96   76.0    35    80    70   4.09 0.6521
WVFGRD96   78.0    35    80    70   4.10 0.6437
WVFGRD96   80.0    30    85    70   4.09 0.6373
WVFGRD96   82.0    30    85    70   4.10 0.6327
WVFGRD96   84.0    30    85    70   4.10 0.6223
WVFGRD96   86.0    35    85    75   4.10 0.6201
WVFGRD96   88.0   210    90   -75   4.09 0.6042
WVFGRD96   90.0    35    85    75   4.10 0.6057
WVFGRD96   92.0    35    85    75   4.10 0.5995
WVFGRD96   94.0    35    85    75   4.11 0.5878
WVFGRD96   96.0    30    90    75   4.11 0.5854
WVFGRD96   98.0    30    90    75   4.11 0.5780

The best solution is

WVFGRD96   64.0    35    75    65   4.09 0.6781

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 0.10 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 Wed Apr 24 10:39:56 PM CDT 2024