Location

Location ANSS

2018/12/07 15:22:57 69.575 -144.923 4.4 4.5 Alaska

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2018/12/07 15:22:57:0 69.57 -144.92 4.4 4.5 Alaska Stations used: AK.FYU TA.C24K TA.C26K TA.C27K TA.D23K TA.D25K TA.D27M TA.D28M TA.E24K TA.E27K TA.E28M TA.E29M TA.F24K TA.F25K TA.F26K TA.G23K TA.G24K TA.G27K TA.H24K TA.TOLK Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +40 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3 Best Fitting Double Couple Mo = 2.51e+22 dyne-cm Mw = 4.20 Z = 10 km Plane Strike Dip Rake NP1 271 85 -170 NP2 180 80 -5 Principal Axes: Axis Value Plunge Azimuth T 2.51e+22 4 45 N 0.00e+00 79 297 P -2.51e+22 11 136 Moment Tensor: (dyne-cm) Component Value Mxx -4.31e+15 Mxy 2.46e+22 Mxz 4.35e+21 Myy 7.49e+20 Myz -2.06e+21 Mzz -7.49e+20 -------####### ----------############ -------------############## -------------############### T ---------------############### # ----------------#################### -----------------##################### ------------------###################### ------------------###################### ------------------######################## ------############------------############ ##################------------------------ ##################------------------------ ##################---------------------- ##################---------------------- #################--------------------- ################-------------------- ###############------------- --- #############------------- P - #############------------ ##########------------ #######------- Global CMT Convention Moment Tensor: R T P -7.49e+20 4.35e+21 2.06e+21 4.35e+21 -4.31e+15 -2.46e+22 2.06e+21 -2.46e+22 7.49e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181207152257/index.html

Preferred Solution

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

      STK = 180
      DIP = 80
     RAKE = -5
       MW = 4.20
       HS = 10.0

The NDK file is 20181207152257.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others

SLU

USGS/SLU Moment Tensor Solution ENS 2018/12/07 15:22:57:0 69.57 -144.92 4.4 4.5 Alaska Stations used: AK.FYU TA.C24K TA.C26K TA.C27K TA.D23K TA.D25K TA.D27M TA.D28M TA.E24K TA.E27K TA.E28M TA.E29M TA.F24K TA.F25K TA.F26K TA.G23K TA.G24K TA.G27K TA.H24K TA.TOLK Filtering commands used: cut o DIST/3.3 -40 o DIST/3.3 +40 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.08 n 3 Best Fitting Double Couple Mo = 2.51e+22 dyne-cm Mw = 4.20 Z = 10 km Plane Strike Dip Rake NP1 271 85 -170 NP2 180 80 -5 Principal Axes: Axis Value Plunge Azimuth T 2.51e+22 4 45 N 0.00e+00 79 297 P -2.51e+22 11 136 Moment Tensor: (dyne-cm) Component Value Mxx -4.31e+15 Mxy 2.46e+22 Mxz 4.35e+21 Myy 7.49e+20 Myz -2.06e+21 Mzz -7.49e+20 -------####### ----------############ -------------############## -------------############### T ---------------############### # ----------------#################### -----------------##################### ------------------###################### ------------------###################### ------------------######################## ------############------------############ ##################------------------------ ##################------------------------ ##################---------------------- ##################---------------------- #################--------------------- ################-------------------- ###############------------- --- #############------------- P - #############------------ ##########------------ #######------- Global CMT Convention Moment Tensor: R T P -7.49e+20 4.35e+21 2.06e+21 4.35e+21 -4.31e+15 -2.46e+22 2.06e+21 -2.46e+22 7.49e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20181207152257/index.html

Magnitudes

mLg Magnitude

(a) mLg computed using the IASPEI formula; (b) mLg residuals ; the values used for the trimmed mean are indicated.

ML Magnitude

(a) ML computed using the IASPEI formula for Horizontal components; (b) 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.

(a) ML computed using the IASPEI formula for Vertical components (research); (b) 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.

Context

The next figure presents the focal mechanism for this earthquake (red) in the context of other events (blue) in the SLU Moment Tensor Catalog which are within ± 0.5 degrees of the new event. This comparison is shown in the left panel of the figure. 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).

Waveform Inversion using wvfgrd96

The focal mechanism was determined using broadband seismic waveforms. The location of the event and the and stations used for 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 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 +40
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.08 n 3

The results of this grid search from 0.5 to 19 km depth are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0     5    90    -5   3.81 0.3224
WVFGRD96    2.0     5    75    25   3.96 0.4289
WVFGRD96    3.0   180    80    -5   3.98 0.4687
WVFGRD96    4.0   180    80   -10   4.03 0.5014
WVFGRD96    5.0   180    80    -5   4.06 0.5268
WVFGRD96    6.0   180    80   -10   4.10 0.5491
WVFGRD96    7.0   180    80    -5   4.13 0.5675
WVFGRD96    8.0   180    80   -10   4.16 0.5838
WVFGRD96    9.0   180    80    -5   4.18 0.5889
WVFGRD96   10.0   180    80    -5   4.20 0.5900
WVFGRD96   11.0   180    80    -5   4.22 0.5892
WVFGRD96   12.0   180    80    -5   4.23 0.5858
WVFGRD96   13.0   180    80    -5   4.25 0.5794
WVFGRD96   14.0   180    85    -5   4.26 0.5708
WVFGRD96   15.0     0    85     5   4.27 0.5605
WVFGRD96   16.0     0    85     5   4.28 0.5526
WVFGRD96   17.0     0    85     5   4.29 0.5441
WVFGRD96   18.0     0    85     5   4.29 0.5345
WVFGRD96   19.0     0    85     5   4.30 0.5255
WVFGRD96   20.0     0    85     5   4.31 0.5182
WVFGRD96   21.0     0    85    10   4.32 0.5111
WVFGRD96   22.0     0    85     5   4.32 0.5073
WVFGRD96   23.0     0    85    10   4.33 0.5033
WVFGRD96   24.0     0    85     5   4.34 0.5013
WVFGRD96   25.0     0    85     5   4.34 0.5005
WVFGRD96   26.0     0    85     5   4.35 0.5002
WVFGRD96   27.0     0    85    10   4.36 0.5004
WVFGRD96   28.0     0    85    10   4.36 0.4991
WVFGRD96   29.0     0    85    10   4.37 0.4998
WVFGRD96   30.0     0    85    10   4.38 0.4980
WVFGRD96   31.0     0    85    10   4.38 0.4945
WVFGRD96   32.0     0    85    10   4.39 0.4920
WVFGRD96   33.0     0    85    10   4.40 0.4861
WVFGRD96   34.0   180    85   -10   4.41 0.4795
WVFGRD96   35.0     0    85    10   4.41 0.4740
WVFGRD96   36.0   180    85   -10   4.43 0.4663
WVFGRD96   37.0     0    85    10   4.43 0.4603
WVFGRD96   38.0     0    85    10   4.45 0.4564
WVFGRD96   39.0     0    85    10   4.46 0.4540
WVFGRD96   40.0     5    80    15   4.50 0.4544
WVFGRD96   41.0     5    80    15   4.51 0.4560
WVFGRD96   42.0     5    80    15   4.52 0.4547
WVFGRD96   43.0     5    80    15   4.53 0.4544
WVFGRD96   44.0     5    85    15   4.54 0.4524
WVFGRD96   45.0     5    85    15   4.55 0.4518
WVFGRD96   46.0     5    85    15   4.56 0.4499
WVFGRD96   47.0     5    85    15   4.57 0.4487
WVFGRD96   48.0     5    85    15   4.58 0.4475
WVFGRD96   49.0     5    80    20   4.58 0.4461
WVFGRD96   50.0     5    80    20   4.58 0.4458
WVFGRD96   51.0     5    80    25   4.59 0.4436
WVFGRD96   52.0     5    80    25   4.60 0.4447
WVFGRD96   53.0     5    80    25   4.60 0.4433
WVFGRD96   54.0     5    80    25   4.61 0.4432
WVFGRD96   55.0     5    80    25   4.61 0.4422
WVFGRD96   56.0     5    80    25   4.62 0.4410
WVFGRD96   57.0     5    80    25   4.62 0.4405
WVFGRD96   58.0     5    80    25   4.63 0.4401
WVFGRD96   59.0     5    80    25   4.63 0.4384

The best solution is

WVFGRD96   10.0   180    80    -5   4.20 0.5900

The mechanism correspond 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 and because the velocity model used in the predictions may not be perfect. 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 +40
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.

Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to thewavefroms. 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.

Discussion

Acknowledgements

Thanks also to the many seismic network operators whose dedication make this effort possible: University of Nevada Reno, University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint Louis University, University of Memphis, Lamont Doherty Earth Observatory, the Iris stations and the Transportable Array of EarthScope.

Velocity Model

The WUS.model used for the waveform synthetic seismograms and for the surface wave eigenfunctions and dispersion is as follows:

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

Quality Control

Here we tabulate the reasons for not using certain digital data sets

The following stations did not have a valid response files:

Last Changed Fri Dec 7 10:36:58 CST 2018