Location

Location ANSS

The ANSS event ID is ak02462bum3w and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak02462bum3w/executive.

2024/05/11 01:53:05 59.828 -152.851 94.6 4.5 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2024/05/11 01:53:05:0  59.83 -152.85  94.6 4.5 Alaska
 
 Stations used:
   AK.BRLK AK.CAPN AK.CUT AK.DIV AK.FID AK.FIRE AK.L19K 
   AK.L20K AK.L22K AK.N15K AK.N18K AK.O18K AK.O19K AK.P16K 
   AK.P17K AK.RC01 AK.SLK AK.SWD AT.TTA AV.STLK II.KDAK 
 
 Filtering commands used:
   cut o DIST/3.6 -40 o DIST/3.6 +50
   rtr
   taper w 0.1
   hp c 0.03 n 3 
   lp c 0.10 n 3 
 
 Best Fitting Double Couple
  Mo = 1.32e+23 dyne-cm
  Mw = 4.68 
  Z  = 104 km
  Plane   Strike  Dip  Rake
   NP1      221    64   134
   NP2      335    50    35
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   1.32e+23     50     181
    N   0.00e+00     39      18
    P  -1.32e+23      8     281

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     5.01e+22
       Mxy     2.47e+22
       Mxz    -6.85e+22
       Myy    -1.25e+23
       Myz     1.74e+22
       Mzz     7.45e+22
                                                     
                                                     
                                                     
                                                     
                     ##############                  
                 -------###############              
              --------------##############           
             -----------------#####--------          
           ----------------------------------        
          -------------------####-------------       
         ------------------########------------      
           --------------###########------------     
         P ------------##############-----------     
       -   -----------################-----------    
       -------------##################-----------    
       ------------####################----------    
       -----------#####################----------    
        ---------#######################--------     
        --------########################--------     
         -------##########   ###########-------      
          -----########### T ###########------       
           ----###########   ###########-----        
             -#########################----          
              ########################----           
                 #####################-              
                     ##############                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  7.45e+22  -6.85e+22  -1.74e+22 
 -6.85e+22   5.01e+22  -2.47e+22 
 -1.74e+22  -2.47e+22  -1.25e+23 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20240511015305/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 = 335
      DIP = 50
     RAKE = 35
       MW = 4.68
       HS = 104.0

The NDK file is 20240511015305.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 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.

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/3.6 -40 o DIST/3.6 +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    20    45   -70   3.90 0.2774
WVFGRD96    4.0    45    90    35   3.89 0.2376
WVFGRD96    6.0   230    75    40   3.96 0.2801
WVFGRD96    8.0   230    75    40   4.05 0.3123
WVFGRD96   10.0   230    75    40   4.09 0.3304
WVFGRD96   12.0   225    75    40   4.12 0.3330
WVFGRD96   14.0   225    75    40   4.14 0.3253
WVFGRD96   16.0   310    40    10   4.15 0.3140
WVFGRD96   18.0   315    40    15   4.18 0.3117
WVFGRD96   20.0   320    35    20   4.20 0.3064
WVFGRD96   22.0   135    50    15   4.24 0.3081
WVFGRD96   24.0   135    50    15   4.26 0.3096
WVFGRD96   26.0   145    60    20   4.29 0.3124
WVFGRD96   28.0   145    55    20   4.31 0.3135
WVFGRD96   30.0   145    60    20   4.33 0.3128
WVFGRD96   32.0   145    65    20   4.34 0.3141
WVFGRD96   34.0   145    65    20   4.36 0.3191
WVFGRD96   36.0   145    65    20   4.38 0.3195
WVFGRD96   38.0   145    70    20   4.41 0.3187
WVFGRD96   40.0   145    55    20   4.48 0.3345
WVFGRD96   42.0   145    50    15   4.51 0.3366
WVFGRD96   44.0   145    50    15   4.54 0.3395
WVFGRD96   46.0   140    65   -20   4.57 0.3403
WVFGRD96   48.0   140    65   -20   4.58 0.3456
WVFGRD96   50.0   140    70   -25   4.60 0.3500
WVFGRD96   52.0   140    70   -25   4.61 0.3535
WVFGRD96   54.0   140    70   -30   4.62 0.3589
WVFGRD96   56.0   140    70   -30   4.63 0.3676
WVFGRD96   58.0   320    55   -15   4.65 0.3778
WVFGRD96   60.0   330    60    20   4.62 0.3934
WVFGRD96   62.0   330    60    25   4.62 0.4122
WVFGRD96   64.0   335    55    30   4.63 0.4320
WVFGRD96   66.0   335    55    30   4.63 0.4500
WVFGRD96   68.0   335    55    30   4.64 0.4669
WVFGRD96   70.0   335    55    30   4.64 0.4832
WVFGRD96   72.0   335    55    30   4.65 0.4977
WVFGRD96   74.0   335    55    30   4.65 0.5135
WVFGRD96   76.0   335    55    35   4.65 0.5260
WVFGRD96   78.0   335    55    35   4.65 0.5392
WVFGRD96   80.0   335    55    35   4.65 0.5506
WVFGRD96   82.0   335    55    35   4.66 0.5602
WVFGRD96   84.0   335    50    35   4.66 0.5708
WVFGRD96   86.0   335    50    35   4.66 0.5797
WVFGRD96   88.0   335    50    35   4.67 0.5873
WVFGRD96   90.0   335    50    35   4.67 0.5945
WVFGRD96   92.0   335    50    35   4.67 0.6001
WVFGRD96   94.0   335    50    35   4.67 0.6041
WVFGRD96   96.0   335    50    35   4.67 0.6074
WVFGRD96   98.0   335    50    35   4.67 0.6108
WVFGRD96  100.0   335    50    35   4.68 0.6144
WVFGRD96  102.0   335    50    35   4.68 0.6164
WVFGRD96  104.0   335    50    35   4.68 0.6171
WVFGRD96  106.0   340    45    40   4.68 0.6168
WVFGRD96  108.0   340    45    40   4.68 0.6160
WVFGRD96  110.0   340    45    40   4.68 0.6162
WVFGRD96  112.0   340    45    40   4.68 0.6160
WVFGRD96  114.0   340    45    40   4.69 0.6144
WVFGRD96  116.0   340    45    40   4.69 0.6121
WVFGRD96  118.0   340    45    40   4.69 0.6112
WVFGRD96  120.0   340    45    40   4.69 0.6098
WVFGRD96  122.0   340    45    45   4.69 0.6070
WVFGRD96  124.0   340    45    45   4.69 0.6056
WVFGRD96  126.0   340    45    45   4.69 0.6041
WVFGRD96  128.0   340    45    45   4.69 0.6020
WVFGRD96  130.0   340    45    45   4.69 0.6001
WVFGRD96  132.0   340    45    45   4.69 0.5983
WVFGRD96  134.0   340    45    45   4.69 0.5951
WVFGRD96  136.0   340    45    45   4.69 0.5932
WVFGRD96  138.0   340    50    45   4.69 0.5901
WVFGRD96  140.0   340    50    45   4.69 0.5870
WVFGRD96  142.0   340    50    45   4.70 0.5857
WVFGRD96  144.0   340    50    45   4.70 0.5831
WVFGRD96  146.0   340    50    45   4.70 0.5811
WVFGRD96  148.0   340    50    45   4.70 0.5776

The best solution is

WVFGRD96  104.0   335    50    35   4.68 0.6171

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/3.6 -40 o DIST/3.6 +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:

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 Fri May 10 21:31:05 CDT 2024