Location

Location ANSS

The ANSS event ID is uu50407440 and the event page is at https://earthquake.usgs.gov/earthquakes/eventpage/uu50407440/executive.

2010/04/14 18:58:45 38.020 -111.103 13.2 3.92 Utah

Focal Mechanism

USGS/SLU Moment Tensor Solution ENS 2010/04/14 18:58:45:0 38.02 -111.10 13.2 3.9 Utah Stations used: AE.X16A CI.PDM CI.SHO LB.MVU TA.M22A TA.N20A TA.N22A TA.N23A TA.O20A TA.O22A TA.O23A TA.P22A TA.P23A TA.Q23A TA.R11A TA.R23A TA.S22A TA.S23A TA.S24A TA.U15A TA.W13A TA.W18A TA.X18A TA.Z14A US.DUG US.MVCO US.SDCO US.WUAZ UU.BGU UU.CCUT UU.HVU UU.LCMT UU.MTPU UU.NLU UU.PKCU UU.PNSU UU.RDMU UU.SRU UU.TCRU UU.TCU UU.ZNPU Y7.AV01 Filtering commands used: cut o DIST/3.3 -30 o DIST/3.3 +50 rtr taper w 0.1 hp c 0.03 n 3 lp c 0.10 n 3 br c 0.12 0.25 n 4 p 2 Best Fitting Double Couple Mo = 6.76e+21 dyne-cm Mw = 3.82 Z = 15 km Plane Strike Dip Rake NP1 210 60 -75 NP2 2 33 -114 Principal Axes: Axis Value Plunge Azimuth T 6.76e+21 14 289 N 0.00e+00 13 22 P -6.76e+21 71 154 Moment Tensor: (dyne-cm) Component Value Mxx 1.02e+20 Mxy -1.69e+21 Mxz 2.39e+21 Myy 5.55e+21 Myz -2.39e+21 Mzz -5.66e+21 ###########--- #################---## ###################---###### #################--------##### #################-----------###### ################--------------###### ############-----------------###### # T ###########------------------####### # ##########--------------------###### ##############---------------------####### #############----------------------####### ############-----------------------####### ###########----------- ----------####### ##########----------- P ---------####### #########------------ ---------####### ########-----------------------####### #######-----------------------###### ######----------------------###### ####--------------------###### ###-------------------###### -----------------##### ----------#### Global CMT Convention Moment Tensor: R T P -5.66e+21 2.39e+21 2.39e+21 2.39e+21 1.02e+20 1.69e+21 2.39e+21 1.69e+21 5.55e+21 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20100414185845/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 = 210
      DIP = 60
     RAKE = -75
       MW = 3.82
       HS = 15.0

The NDK file is 20100414185845.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 -30 o DIST/3.3 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
br c 0.12 0.25 n 4 p 2

The results of this grid search are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    1.0    15    45    90   3.46 0.3654
WVFGRD96    2.0   195    45    90   3.62 0.5013
WVFGRD96    3.0   155    80    25   3.66 0.4205
WVFGRD96    4.0   335    90   -40   3.70 0.4136
WVFGRD96    5.0   185    75    70   3.70 0.4902
WVFGRD96    6.0   190    75    75   3.70 0.5435
WVFGRD96    7.0    45    20    95   3.73 0.5754
WVFGRD96    8.0    45    20   100   3.79 0.5913
WVFGRD96    9.0    40    20    90   3.79 0.6008
WVFGRD96   10.0   205    65   -85   3.79 0.6068
WVFGRD96   11.0    10    30  -105   3.81 0.6231
WVFGRD96   12.0   205    60   -85   3.80 0.6361
WVFGRD96   13.0   210    60   -75   3.81 0.6432
WVFGRD96   14.0   210    60   -75   3.81 0.6492
WVFGRD96   15.0   210    60   -75   3.82 0.6514
WVFGRD96   16.0   210    60   -75   3.82 0.6508
WVFGRD96   17.0   210    60   -75   3.83 0.6482
WVFGRD96   18.0   215    60   -70   3.84 0.6446
WVFGRD96   19.0   205    55   -85   3.84 0.6395
WVFGRD96   20.0   210    55   -75   3.85 0.6324
WVFGRD96   21.0   205    55   -85   3.86 0.6235
WVFGRD96   22.0   205    55   -85   3.86 0.6117
WVFGRD96   23.0    15    35  -100   3.87 0.5990
WVFGRD96   24.0    30    35   -80   3.87 0.5847
WVFGRD96   25.0    25    35   -85   3.88 0.5689
WVFGRD96   26.0    40    40   -70   3.89 0.5530
WVFGRD96   27.0    35    40   -75   3.89 0.5375
WVFGRD96   28.0    35    40   -75   3.89 0.5228
WVFGRD96   29.0    45    45   -85   3.90 0.5091

The best solution is

WVFGRD96   15.0   210    60   -75   3.82 0.6514

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 +50
rtr
taper w 0.1
hp c 0.03 n 3 
lp c 0.10 n 3 
br c 0.12 0.25 n 4 p 2

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 Sat Apr 27 11:57:08 AM CDT 2024