Location

Location ANSS

The ANSS event ID is ak00979or0uk and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/ak00979or0uk/executive.

2009/06/07 23:24:39 58.770 -136.658 4.7 5 Alaska

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2009/06/07 23:24:39:0 58.77 -136.66 4.7 5.0 Alaska Stations used: AK.BESE AK.DIV AK.EYAK AK.PNL AT.CRAG AT.MID AT.SKAG CN.DAWY CN.DLBC CN.FNBB CN.MOBC CN.RUBB CN.WHY US.WRAK Filtering commands used: hp c 0.02 n 3 lp c 0.05 n 3 Best Fitting Double Couple Mo = 1.68e+23 dyne-cm Mw = 4.75 Z = 15 km Plane Strike Dip Rake NP1 32 57 130 NP2 155 50 45 Principal Axes: Axis Value Plunge Azimuth T 1.68e+23 57 359 N 0.00e+00 33 188 P -1.68e+23 4 95 Moment Tensor: (dyne-cm) Component Value Mxx 4.88e+22 Mxy 1.37e+22 Mxz 7.79e+22 Myy -1.66e+23 Myz -1.36e+22 Mzz 1.17e+23 ############## -##################### ----######################-- ----#######################--- -----########################----- ------########## ###########------ -------########## T ###########------- --------########## ###########-------- --------#######################--------- ----------######################---------- ----------#####################----------- -----------###################--------- -----------##################---------- P -----------################----------- ------------##############-------------- ------------###########--------------- -------------########--------------- -------------#####---------------- ------------------------------ ---------#####-------------- ###############------- ############## Global CMT Convention Moment Tensor: R T P 1.17e+23 7.79e+22 1.36e+22 7.79e+22 4.88e+22 -1.37e+22 1.36e+22 -1.37e+22 -1.66e+23 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20090607232439/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 = 155
      DIP = 50
     RAKE = 45
       MW = 4.75
       HS = 15.0

The NDK file is 20090607232439.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:

hp c 0.02 n 3
lp c 0.05 n 3

The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    0.5   270    45   -85   4.45 0.3224
WVFGRD96    1.0   170    90     5   4.38 0.3136
WVFGRD96    2.0   330    70   -30   4.48 0.3710
WVFGRD96    3.0   155    90    45   4.55 0.3942
WVFGRD96    4.0   320    80   -50   4.59 0.4340
WVFGRD96    5.0   320    80   -50   4.60 0.4676
WVFGRD96    6.0   320    80   -45   4.60 0.4917
WVFGRD96    7.0   320    80   -40   4.61 0.5108
WVFGRD96    8.0   320    80   -45   4.65 0.5250
WVFGRD96    9.0   315    75   -45   4.66 0.5342
WVFGRD96   10.0   160    45    50   4.73 0.5619
WVFGRD96   11.0   165    45    55   4.74 0.6043
WVFGRD96   12.0   165    45    55   4.75 0.6334
WVFGRD96   13.0   165    45    55   4.76 0.6493
WVFGRD96   14.0   165    45    55   4.76 0.6577
WVFGRD96   15.0   155    50    45   4.75 0.6593
WVFGRD96   16.0   155    50    45   4.75 0.6585
WVFGRD96   17.0   155    50    45   4.75 0.6529
WVFGRD96   18.0   155    50    40   4.76 0.6467
WVFGRD96   19.0   150    55    35   4.76 0.6403
WVFGRD96   20.0   150    55    35   4.76 0.6321
WVFGRD96   21.0   150    55    35   4.77 0.6256
WVFGRD96   22.0   150    55    30   4.77 0.6166
WVFGRD96   23.0   150    55    30   4.78 0.6062
WVFGRD96   24.0   150    55    30   4.78 0.5961
WVFGRD96   25.0   145    60    25   4.78 0.5851
WVFGRD96   26.0   320    75    25   4.79 0.5733
WVFGRD96   27.0   320    75    25   4.79 0.5667
WVFGRD96   28.0   320    75    25   4.80 0.5599
WVFGRD96   29.0   320    75    25   4.81 0.5525
WVFGRD96   30.0   320    75    25   4.81 0.5445
WVFGRD96   31.0   320    75    25   4.82 0.5363
WVFGRD96   32.0   150    75   -15   4.82 0.5271
WVFGRD96   33.0   150    75   -15   4.83 0.5197
WVFGRD96   34.0   150    75   -15   4.84 0.5128
WVFGRD96   35.0   150    75   -15   4.84 0.5056
WVFGRD96   36.0   150    80   -15   4.85 0.4980
WVFGRD96   37.0   150    80   -15   4.86 0.4908
WVFGRD96   38.0   150    80   -15   4.87 0.4834
WVFGRD96   39.0   150    80   -15   4.88 0.4752
WVFGRD96   40.0   115    50   -50   4.98 0.4886
WVFGRD96   41.0   115    55   -50   4.98 0.4832
WVFGRD96   42.0   115    55   -50   4.98 0.4777
WVFGRD96   43.0   115    55   -50   4.99 0.4724
WVFGRD96   44.0   115    55   -50   4.99 0.4669
WVFGRD96   45.0   115    55   -50   5.00 0.4613
WVFGRD96   46.0   115    55   -50   5.01 0.4557
WVFGRD96   47.0   155    70    25   4.98 0.4519
WVFGRD96   48.0   155    70    25   4.99 0.4491
WVFGRD96   49.0   155    70    25   4.99 0.4458

The best solution is

WVFGRD96   15.0   155    50    45   4.75 0.6593

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

hp c 0.02 n 3
lp c 0.05 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 Sun Apr 28 01:08:33 PM CDT 2024