Location

Location ANSS

The ANSS event ID is ak016bjapymo and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak016bjapymo/executive.

2016/09/07 11:47:04 59.726 -153.142 104.2 4.2 Alaska

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2016/09/07 11:47:04:0  59.73 -153.14 104.2 4.2 Alaska
 
 Stations used:
   AK.BRLK AK.CAPN AK.CNP AK.CUT AK.HOM AK.PWL AK.RC01 AK.SKN 
   AT.OHAK AT.PMR AT.SVW2 II.KDAK TA.L19K TA.M22K TA.N18K 
   TA.N19K TA.O18K TA.O19K TA.O22K TA.P19K TA.Q19K 
 
 Filtering commands used:
   cut o DIST/3.3 -30 o DIST/3.3 +70
   rtr
   taper w 0.1
   hp c 0.02 n 3 
   lp c 0.10 n 3 
 
 Best Fitting Double Couple
  Mo = 2.34e+22 dyne-cm
  Mw = 4.18 
  Z  = 114 km
  Plane   Strike  Dip  Rake
   NP1      314    64   146
   NP2       60    60    30
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   2.34e+22     41     275
    N   0.00e+00     49     101
    P  -2.34e+22      3       8

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx    -2.28e+22
       Mxy    -4.40e+21
       Mxz     1.75e+15
       Myy     1.27e+22
       Myz    -1.17e+22
       Mzz     1.02e+22
                                                     
                                                     
                                                     
                                                     
                     -------- P ---                  
                 ------------   -------              
              ----------------------------           
             ####--------------------------          
           ###########-----------------------        
          ################--------------------       
         ###################-----------------##      
        #######################--------------###     
        #########################-----------####     
       #######   #################---------######    
       ####### T ###################-----########    
       #######   ####################--##########    
       ##############################--##########    
        ###########################-----########     
        ########################---------#######     
         ###################--------------#####      
          #############-------------------####       
           --------------------------------##        
             ------------------------------          
              ----------------------------           
                 ----------------------              
                     --------------                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.02e+22   1.75e+15   1.17e+22 
  1.75e+15  -2.28e+22   4.40e+21 
  1.17e+22   4.40e+21   1.27e+22 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20160907114704/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 = 60
      DIP = 60
     RAKE = 30
       MW = 4.18
       HS = 114.0

The NDK file is 20160907114704.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/3.3 -30 o DIST/3.3 +70
rtr
taper w 0.1
hp c 0.02 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   330    55    25   3.04 0.0896
WVFGRD96    4.0   330    55    25   3.16 0.1207
WVFGRD96    6.0   325    60    20   3.23 0.1486
WVFGRD96    8.0   325    55    20   3.32 0.1703
WVFGRD96   10.0   325    60    20   3.38 0.1861
WVFGRD96   12.0   325    60    15   3.42 0.1910
WVFGRD96   14.0   325    60    15   3.45 0.1863
WVFGRD96   16.0   325    60    10   3.47 0.1764
WVFGRD96   18.0   325    55     5   3.49 0.1618
WVFGRD96   20.0   240    80     0   3.54 0.1681
WVFGRD96   22.0   240    85    -5   3.57 0.1812
WVFGRD96   24.0   235    85    -5   3.59 0.1910
WVFGRD96   26.0   235    85    -5   3.61 0.1968
WVFGRD96   28.0    55    90     0   3.62 0.2010
WVFGRD96   30.0    55    90     0   3.64 0.2026
WVFGRD96   32.0    50    85     0   3.64 0.2030
WVFGRD96   34.0    50    85    -5   3.66 0.2013
WVFGRD96   36.0    50    80    -5   3.67 0.1966
WVFGRD96   38.0   235    90     5   3.71 0.1936
WVFGRD96   40.0    50    80   -15   3.75 0.1971
WVFGRD96   42.0    45    70   -25   3.79 0.1983
WVFGRD96   44.0    45    65   -20   3.81 0.1991
WVFGRD96   46.0    45    65   -20   3.84 0.2014
WVFGRD96   48.0    50    65   -15   3.86 0.2047
WVFGRD96   50.0    50    65   -15   3.88 0.2105
WVFGRD96   52.0    60    80    15   3.90 0.2245
WVFGRD96   54.0    55    70    25   3.92 0.2453
WVFGRD96   56.0    60    65    30   3.95 0.2722
WVFGRD96   58.0    60    65    30   3.98 0.2949
WVFGRD96   60.0    60    65    30   3.99 0.3115
WVFGRD96   62.0    60    65    30   4.01 0.3264
WVFGRD96   64.0    60    65    30   4.02 0.3406
WVFGRD96   66.0    60    65    30   4.03 0.3550
WVFGRD96   68.0    60    65    30   4.04 0.3695
WVFGRD96   70.0    60    60    30   4.06 0.3829
WVFGRD96   72.0    60    60    30   4.08 0.3971
WVFGRD96   74.0    60    60    30   4.08 0.4098
WVFGRD96   76.0    60    60    30   4.09 0.4210
WVFGRD96   78.0    60    60    30   4.10 0.4326
WVFGRD96   80.0    60    60    35   4.11 0.4422
WVFGRD96   82.0    60    60    35   4.11 0.4552
WVFGRD96   84.0    60    60    35   4.12 0.4641
WVFGRD96   86.0    60    60    35   4.12 0.4743
WVFGRD96   88.0    60    60    35   4.13 0.4826
WVFGRD96   90.0    60    60    35   4.13 0.4893
WVFGRD96   92.0    60    60    35   4.14 0.4974
WVFGRD96   94.0    60    60    35   4.14 0.5033
WVFGRD96   96.0    60    60    35   4.15 0.5081
WVFGRD96   98.0    60    60    35   4.15 0.5140
WVFGRD96  100.0    60    60    30   4.16 0.5180
WVFGRD96  102.0    60    60    30   4.16 0.5218
WVFGRD96  104.0    60    60    30   4.16 0.5239
WVFGRD96  106.0    60    60    30   4.17 0.5276
WVFGRD96  108.0    60    60    30   4.17 0.5306
WVFGRD96  110.0    60    60    30   4.17 0.5328
WVFGRD96  112.0    60    60    30   4.18 0.5342
WVFGRD96  114.0    60    60    30   4.18 0.5348
WVFGRD96  116.0    60    60    30   4.18 0.5344
WVFGRD96  118.0    60    60    30   4.18 0.5340

The best solution is

WVFGRD96  114.0    60    60    30   4.18 0.5348

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 -30 o DIST/3.3 +70
rtr
taper w 0.1
hp c 0.02 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 Apr 26 09:27:33 PM CDT 2024