Location

2011/12/31 20:05:01 41.122 -80.684 5 4.00 Ohio

Arrival Times (from USGS)

Arrival time list

Felt Map

USGS Felt map for this earthquake

USGS Felt reports main page

Focal Mechanism

 USGS/SLU Moment Tensor Solution
 ENS  2011/12/31 20:05:01:0  41.12  -80.68   5.0 4.0 Ohio
 
 Stations used:
   CN.ACTO CN.BASO CN.BMRO CN.BRCO CN.ELFO CN.PKRO CN.PLIO 
   CN.SADO CN.TOBO IU.SSPA IU.WCI LD.KSPA LD.PAL LD.WVNY 
   NM.BLO PE.PAGS TA.M54A TA.N46A TA.N54A TA.O47A TA.O56A 
   TA.P46A TA.P47A TA.SFIN US.AAM US.BLA US.CBN US.ERPA 
   US.GLMI US.MCWV 
 
 Filtering commands used:
   hp c 0.04 n 3
   lp c 0.10 n 3
   br c 0.12 0.25 n 6 p 2
 
 Best Fitting Double Couple
  Mo = 5.31e+21 dyne-cm
  Mw = 3.75 
  Z  = 8 km
  Plane   Strike  Dip  Rake
   NP1      275    90   -25
   NP2        5    65   -180
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.31e+21     17     323
    N   0.00e+00     65      95
    P  -5.31e+21     17     227

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     8.35e+20
       Mxy    -4.74e+21
       Mxz     2.24e+21
       Myy    -8.35e+20
       Myz     1.96e+20
       Mzz     1.96e+14
                                                     
                                                     
                                                     
                                                     
                     ##########----                  
                 ###############-------              
              ##   ##############---------           
             ### T ##############----------          
           #####   ###############-----------        
          ########################------------       
         #########################-------------      
        ##########################--------------     
        ##########################--------------     
       ############################--------------    
       ----------#################---------------    
       ---------------------------#####----------    
       ---------------------------###############    
        --------------------------##############     
        -------------------------###############     
         ------------------------##############      
          ----   ---------------##############       
           --- P ---------------#############        
             -   --------------############          
              ----------------############           
                 ------------##########              
                     ------########                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.96e+14   2.24e+21  -1.96e+20 
  2.24e+21   8.35e+20   4.74e+21 
 -1.96e+20   4.74e+21  -8.35e+20 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20111231200501/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 = 275
      DIP = 90
     RAKE = -25
       MW = 3.75
       HS = 8.0

The NDK file is 20111231200501.ndk The waveform inversion is preferred.

Moment Tensor Comparison

The following compares this source inversion to others
SLU
 USGS/SLU Moment Tensor Solution
 ENS  2011/12/31 20:05:01:0  41.12  -80.68   5.0 4.0 Ohio
 
 Stations used:
   CN.ACTO CN.BASO CN.BMRO CN.BRCO CN.ELFO CN.PKRO CN.PLIO 
   CN.SADO CN.TOBO IU.SSPA IU.WCI LD.KSPA LD.PAL LD.WVNY 
   NM.BLO PE.PAGS TA.M54A TA.N46A TA.N54A TA.O47A TA.O56A 
   TA.P46A TA.P47A TA.SFIN US.AAM US.BLA US.CBN US.ERPA 
   US.GLMI US.MCWV 
 
 Filtering commands used:
   hp c 0.04 n 3
   lp c 0.10 n 3
   br c 0.12 0.25 n 6 p 2
 
 Best Fitting Double Couple
  Mo = 5.31e+21 dyne-cm
  Mw = 3.75 
  Z  = 8 km
  Plane   Strike  Dip  Rake
   NP1      275    90   -25
   NP2        5    65   -180
  Principal Axes:
   Axis    Value   Plunge  Azimuth
    T   5.31e+21     17     323
    N   0.00e+00     65      95
    P  -5.31e+21     17     227

 Moment Tensor: (dyne-cm)
    Component   Value
       Mxx     8.35e+20
       Mxy    -4.74e+21
       Mxz     2.24e+21
       Myy    -8.35e+20
       Myz     1.96e+20
       Mzz     1.96e+14
                                                     
                                                     
                                                     
                                                     
                     ##########----                  
                 ###############-------              
              ##   ##############---------           
             ### T ##############----------          
           #####   ###############-----------        
          ########################------------       
         #########################-------------      
        ##########################--------------     
        ##########################--------------     
       ############################--------------    
       ----------#################---------------    
       ---------------------------#####----------    
       ---------------------------###############    
        --------------------------##############     
        -------------------------###############     
         ------------------------##############      
          ----   ---------------##############       
           --- P ---------------#############        
             -   --------------############          
              ----------------############           
                 ------------##########              
                     ------########                  
                                                     
                                                     
                                                     
 Global CMT Convention Moment Tensor:
      R          T          P
  1.96e+14   2.24e+21  -1.96e+20 
  2.24e+21   8.35e+20   4.74e+21 
 -1.96e+20   4.74e+21  -8.35e+20 


Details of the solution is found at

http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20111231200501/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

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:

hp c 0.04 n 3
lp c 0.10 n 3
br c 0.12 0.25 n 6 p 2
The results of this grid search from 0.5 to 19 km depth are as follow:

           DEPTH  STK   DIP  RAKE   MW    FIT
WVFGRD96    0.5   270    75   -25   3.64 0.3695
WVFGRD96    1.0   270    75   -25   3.66 0.3860
WVFGRD96    2.0   275    85   -10   3.66 0.4037
WVFGRD96    3.0   275    85    -5   3.68 0.4109
WVFGRD96    4.0   275    90   -20   3.70 0.4123
WVFGRD96    5.0   275    90   -25   3.72 0.4132
WVFGRD96    6.0   275    90   -25   3.73 0.4149
WVFGRD96    7.0   275    90   -25   3.74 0.4170
WVFGRD96    8.0   275    90   -25   3.75 0.4179
WVFGRD96    9.0   275    90   -25   3.75 0.4177
WVFGRD96   10.0   275    90   -25   3.76 0.4166
WVFGRD96   11.0    95    85    25   3.77 0.4168
WVFGRD96   12.0   270    75   -15   3.78 0.4125
WVFGRD96   13.0   270    75   -15   3.78 0.4107
WVFGRD96   14.0   270    75   -15   3.79 0.4094
WVFGRD96   15.0   270    80   -15   3.80 0.4067
WVFGRD96   16.0   270    80   -15   3.80 0.4035
WVFGRD96   17.0   270    80   -15   3.81 0.4006
WVFGRD96   18.0   270    80   -15   3.82 0.3966
WVFGRD96   19.0   270    80   -15   3.82 0.3922
WVFGRD96   20.0   270    75   -20   3.84 0.3883
WVFGRD96   21.0   270    75   -20   3.84 0.3838
WVFGRD96   22.0   270    75   -20   3.85 0.3789
WVFGRD96   23.0   270    75   -20   3.86 0.3731
WVFGRD96   24.0   270    75   -20   3.86 0.3677
WVFGRD96   25.0   270    75   -20   3.87 0.3623
WVFGRD96   26.0   270    75   -20   3.87 0.3564
WVFGRD96   27.0   270    75   -20   3.88 0.3507
WVFGRD96   28.0   270    75   -20   3.88 0.3453
WVFGRD96   29.0   275    70     0   3.89 0.3399

The best solution is

WVFGRD96    8.0   275    90   -25   3.75 0.4179

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

hp c 0.04 n 3
lp c 0.10 n 3
br c 0.12 0.25 n 6 p 2
Figure 3. Waveform comparison for selected depth
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:

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.

Surface-Wave Focal Mechanism

The following figure shows the stations used in the grid search for the best focal mechanism to fit the surface-wave spectral amplitudes of the Love and Rayleigh waves.
Location of broadband stations used to obtain focal mechanism from surface-wave spectral amplitudes

The surface-wave determined focal mechanism is shown here.


  NODAL PLANES 

  
  STK=     359.56
  DIP=      85.02
 RAKE=     174.98
  
             OR
  
  STK=      89.99
  DIP=      85.00
 RAKE=       5.00
 
 
DEPTH = 4.0 km
 
Mw = 3.81
Best Fit 0.9125 - P-T axis plot gives solutions with FIT greater than FIT90

First motion data

The P-wave first motion data for focal mechanism studies are as follow:

Sta Az    Dist   First motion

Surface-wave analysis

Surface wave analysis was performed using codes from Computer Programs in Seismology, specifically the multiple filter analysis program do_mft and the surface-wave radiation pattern search program srfgrd96.

Data preparation

Digital data were collected, instrument response removed and traces converted to Z, R an T components. Multiple filter analysis was applied to the Z and T traces to obtain the Rayleigh- and Love-wave spectral amplitudes, respectively. These were input to the search program which examined all depths between 1 and 25 km and all possible mechanisms.
Best mechanism fit as a function of depth. The preferred depth is given above. Lower hemisphere projection

Pressure-tension axis trends. Since the surface-wave spectra search does not distinguish between P and T axes and since there is a 180 ambiguity in strike, all possible P and T axes are plotted. First motion data and waveforms will be used to select the preferred mechanism. The purpose of this plot is to provide an idea of the possible range of solutions. The P and T-axes for all mechanisms with goodness of fit greater than 0.9 FITMAX (above) are plotted here.


Focal mechanism sensitivity at the preferred depth. The red color indicates a very good fit to the Love and Rayleigh wave radiation patterns. 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. Because of the symmetry of the spectral amplitude rediation patterns, only strikes from 0-180 degrees are sampled.

Love-wave radiation patterns

Rayleigh-wave radiation patterns

Broadband station distribution

The distribution of broadband stations with azimuth and distance is
Listing of broadband stations used

Waveform comparison for this mechanism

Since the analysis of the surface-wave radiation patterns uses only spectral amplitudes and because the surfave-wave radiation patterns have a 180 degree symmetry, each surface-wave solution consists of four possible focal mechanisms corresponding to the interchange of the P- and T-axes and a roation of the mechanism by 180 degrees. To select one mechanism, P-wave first motion can be used. This was not possible in this case because all the P-wave first motions were emergent ( a feature of the P-wave wave takeoff angle, the station location and the mechanism). The other way to select among the mechanisms is to compute forward synthetics and compare the observed and predicted waveforms.

The fits to the waveforms with the given mechanism are show below:

This figure shows the fit to the three components of motion (Z - vertical, R-radial and T - transverse). For each station and component, the observed traces is shown in red and the model predicted trace in blue. The traces represent filtered ground velocity in units of meters/sec (the peak value is printed adjacent to each trace; each pair of traces to plotted to the same scale to emphasize the difference in levels). Both synthetic and observed traces have been filtered using the SAC commands:

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.

Appendix A


Spectra fit plots to each station

Velocity Model

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

MODEL.01
CUS Model with Q from simple gamma values
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
  1.0000  5.0000  2.8900  2.5000 0.172E-02 0.387E-02 0.00  0.00  1.00  1.00 
  9.0000  6.1000  3.5200  2.7300 0.160E-02 0.363E-02 0.00  0.00  1.00  1.00 
 10.0000  6.4000  3.7000  2.8200 0.149E-02 0.336E-02 0.00  0.00  1.00  1.00 
 20.0000  6.7000  3.8700  2.9020 0.000E-04 0.000E-04 0.00  0.00  1.00  1.00 
  0.0000  8.1500  4.7000  3.3640 0.194E-02 0.431E-02 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 Mon Dec 7 03:09:33 CST 2015