Location

2007/02/24 02:36:22 -6.90 -80.32 23

Moment Tensor Comparison

The following compares this source inversion to the USGS Rapid Moment Tensor Solution and to the Harvard CMT solutions, if they are available.
SLU
USGS
 SLU Moment Tensor Solution
 2007/02/24 02:36:22
 
 Best Fitting Double Couple
    Mo = 2.43e+25 dyne-cm
    Mw = 6.19 
    Z  = 25 km
     Plane   Strike  Dip  Rake
      NP1      162    73   100
      NP2      310    20    60
 Principal Axes:
   Axis    Value   Plunge  Azimuth
     T   2.43e+25     61      87
     N   0.00e+00     10     338
     P  -2.43e+25     27     243



 Moment Tensor: (dyne-cm)
    Component  Value
       Mxx    -3.84e+24
       Mxy    -7.37e+24
       Mxz     5.00e+24
       Myy    -9.67e+24
       Myz     1.91e+25
       Mzz     1.35e+25
                                                     
                                                     
                                                     
                                                     
                     --------------                  
                 ############----------              
              ##-----##############-------           
             --------#################-----          
           ----------###################-----        
          -----------#####################----       
         ------------######################----      
        --------------######################----     
        --------------#######################---     
       ----------------###########   #########---    
       ----------------########### T #########---    
       -----------------##########   #########---    
       -----------------#######################--    
        -----   ---------#####################--     
        ----- P ----------####################--     
         ----   -----------###################-      
          ------------------#################-       
           ------------------################        
             -----------------#############          
              -----------------###########           
                 ---------------#######              
                     -------------#                  
                                                     
                                                     
                                                     

 Harvard Convention
 Moment Tensor:
      R          T          F
  1.35e+25   5.00e+24  -1.91e+25 
  5.00e+24  -3.84e+24   7.37e+24 
 -1.91e+25   7.37e+24  -9.67e+24 

	
 07/02/24 02:36:22.08
 NEAR COAST OF NORTHERN PERU     
 Epicenter:  -6.901  -80.322
 MW 6.3

 USGS MOMENT TENSOR SOLUTION
 Depth  23         No. of sta: 69
 Moment Tensor;   Scale 10**18 Nm
   Mrr= 1.95       Mtt= 0.13
   Mpp=-2.08       Mrt= 0.46
   Mrp=-2.82       Mtp=-0.15
  Principal axes:
   T  Val=  3.47  Plg=62  Azm= 73
   N        0.06       7      175
   P       -3.53      27      269

 Best Double Couple:Mo=3.5*10**18
  NP1:Strike= 15 Dip=19 Slip= 111
  NP2:       173     73        83
                                      
               -######                
          ------#########--           
        -------############--         
      ---------##############--       
    -----------###############---     
   ------------################---    
   ------------#################--    
  -------------#######   #######---   
  ---   -------####### T #######---   
  --- P -------#######   #######---   
  ---   -------#################---   
  --------------###############----   
   -------------###############---    
   --------------#############----    
    -------------############----     
      ------------#########----       
        ----------#######----         
          ---------###-----           
               #####--                

        

Data set

The following broadband stations passed the QC and were used for the source inversion. AAM ACSO AGMN AHID AMTX ANMO ASCN BBSR BFO BLA BMO BOZ BRAL BW06 CBKS CBN CNNC COLA COWI DGMT DUG DWPF ECSD EFI EGAK EGMT ELK ESK EYMN FFC GLMI GOGA HAWA HDIL HKT HLID HRV HWUT ISCO JCT JFWS KDAK KIP KSU1 KVTX LAO LBNH LONY LRAL MCWV MIAR MSO MVCO NATX NCB NEW NHSC NLWA PAB PFO PKME PMSA POHA QSPA RCBR RLMT RSSD SBA SCIA SSPA TPNV TRIS TUC TZTN WMOK WRAK WUAZ WVOR

Deviator Moment Tensor Inversion

All observed and Greens function waveforms are corrected to instrument response to ground velocity in meters/sec for the passband of 0.004 - 5 Hz. The traces were then lowpass filtered at 0.25 Hz and interpolated to a sample rate of 1 second.

For the grid search, the observed traces and Green's functions are read in an cut using the following commands

Phase    Gsac Command              Comment
 P    cut A -30 A       CUTH = 95+0.3*DEPTH  
SH    cut T1 -60 T1     CUTH = 95+0.6*DEPTH
SV    cut T0 -60 T0     CUTH = 95+0.6*DEPTH

where the 95 is a maximum filter duration, DEPTH is in km, and the CUTH in sec
The cut windows attempt to include the P, pP, sP, pS, S and sS arrivals. However, oen must be very careful about the fact that PP may be included in some distance ranges.

The waveforms are then bandpass filtered by the application of the following high- and low-pass stages (an optional microseism filter):

hp c 0.0100 2
lp c 0.0400 2
int
br c 0.12 0.2 n 4 p 2
The traces were next integrated to ground displacment in meters. Finally the observed data are interpolated to ahve the same sampling at the Green's functions.
NOTE: this was done for speed. The proper sequence is to read traces, filter and then cut - gsac will be modified to introduce a command CUTWR to define the cut upon a write.

The source inversion is a multipass operation since a lower frequency filter band is used for larger earthquakes and since a search is made over depth. Up to three passed of the outer loop are made, after which the moment magnitude is determined and filter settings readjusted. The inner loop over depth samples all depths from 0 to 800 km with 5 km increments in depth to 50 km, followed by 10 km depth sampling for the remaining range.

The following filter ranges are used according to the moment magnitude Mw:

   FILTER_BAND   FH(s)  FL(s)
       1           60     12      Mw < 6.4
       2          100     20      6.4 < Mw <= 6.9
       3          120     40      Mw > 6.9

The map displays the distribution of stations used for this source inversion.


Location of the earthquake (yellow star) and great circle path from the epicenter to each station (red) [created using GMT (Wessel, P., and W. H. F. Smith, New version of Generic Mapping Tools released, EOS Trans. AGU, 76 329, 1995.)]

For this data set the favored solution is

WVFMTD96   20.0  166.   82.   90.   6.09     0.665 0.102E-05     0.639     0.816 0.551E-06  16.3

The following figures show the sensitivity of the goodness of fit parameter so source depth, the waveform comparison as a function of epicentral distance in degrees and the source to station azimuth

Depth Sensitivity

Goodness of fit as a function of source depth. The measure is 1 - SUM (o -p)2 / SUM o2. A value of 1.0 is the best fit. The best double couple mechanism for the solution depth is plotted above goodness of fit value to indicate how the mefhanism may change with depth.

Detailed Waveform Comparison

P-wave Z component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.
SH-wave T component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.
SV-wave R component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.

Inversion Details

Output of wvfmtd96 for the best depth..

Grid search

All observed and Greens function waveforms are corrected to instrument response to ground velocity in meters/sec for the passband of 0.004 - 5 Hz. The traces were then lowpass filtered at 0.25 Hz and interpolated to a sample rate of 1 second.

For the grid search, the observed traces and Green's functions are read in an cut using the following commands

Phase    Gsac Command              Comment
 P    cut A -30 A       CUTH = 95+0.3*DEPTH  
SH    cut T1 -60 T1     CUTH = 95+0.6*DEPTH
SV    cut T0 -60 T0     CUTH = 95+0.6*DEPTH

where the 95 is a maximum filter duration, DEPTH is in km, and the CUTH in sec
The cut windows attempt to include the P, pP, sP, pS, S and sS arrivals. However, oen must be very careful about the fact that PP may be included in some distance ranges.

The waveforms are then bandpass filtered by the application of the following high- and low-pass stages (an optional microseism filter):

hp c 0.0100 2
lp c 0.0400 2
int
br c 0.12 0.2 n 4 p 2
The traces were next integrated to ground displacment in meters. Finally the observed data are interpolated to ahve the same sampling at the Green's functions.
NOTE: this was done for speed. The proper sequence is to read traces, filter and then cut - gsac will be modified to introduce a command CUTWR to define the cut upon a write.

The source inversion is a multipass operation since a lower frequency filter band is used for larger earthquakes and since a search is made over depth. Up to three passed of the outer loop are made, after which the moment magnitude is determined and filter settings readjusted. The inner loop over depth samples all depths from 0 to 800 km with 5 km increments in depth to 50 km, followed by 10 km depth sampling for the remaining range.

The following filter ranges are used according to the moment magnitude Mw:

   FILTER_BAND   FH(s)  FL(s)
       1           60     12      Mw < 6.4
       2          100     20      6.4 < Mw <= 6.9
       3          120     40      Mw > 6.9

The map displays the distribution of stations used for this source inversion.


Location of the earthquake (yellow star) and great circle path from the epicenter to each station (red) [created using GMT (Wessel, P., and W. H. F. Smith, New version of Generic Mapping Tools released, EOS Trans. AGU, 76 329, 1995.)]

For this data set the favored solution is

WVFGRD96   25.0   310    20    60   6.19 0.6771

The following figures show the sensitivity of the goodness of fit parameter so source depth, the waveform comparison as a function of epicentral distance in degrees and the source to station azimuth

Depth Sensitivity

Goodness of fit as a function of source depth. The measure is 1 - SUM (o -p)2 / SUM o2. A value of 1.0 is the best fit. The best double couple mechanism for the solution depth is plotted above goodness of fit value to indicate how the mefhanism may change with depth.

Detailed Waveform Comparison

P-wave Z component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.
SH-wave T component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.
SV-wave R component
Comparison of the observed traces (red) and solution predicted traces (blue) ordered in terms of increasing epicentral distance. Each pair of traces is annotated with the station name, epicentral distance in degrees, source to station azimuth in degrees. Each pair of traces is plotted with the same scale and the peak amplitudes are indicated at the lect of each trace. Finally the time shift between the P-wave first arrival picked and the the theoretical P-wave first arrival in the predicted trace is indicated, with a positive sign indicating that the predicted trace has been shifted to the right by the given number of seconds. as a function of source to station azimuth in degrees (D). The purpose of this display is to highlight the azimuthal dependence on the first motion. The traces are annotated with the station name at the top.

Inversion Details

Output of wvfgrd96 for the best depth..

Last Changed Wed Mar 28 16:05:59 UTC 2007