2011/07/14 06:59:09 50.12 0.75 10.0 4.30 England/France
USGS Felt map for this earthquake
USGS/SLU Moment Tensor Solution ENS 2011/07/14 06:59:09:0 50.12 0.75 10.0 4.3 England/France Stations used: BN.EKB BN.SBD BN.WOL CH.BALST CH.BNALP CH.BOURR CH.EMV CH.GIMEL CH.SENIN FR.OG35 GB.CWF GB.EDI GB.HTL GB.JSA GB.SWN1 G.ECH GE.WLF GR.TNS Filtering commands used: hp c 0.02 n 3 lp c 0.06 n 3 br c 0.12 0.25 n 4 p 2 Best Fitting Double Couple Mo = 3.63e+21 dyne-cm Mw = 3.64 Z = 9 km Plane Strike Dip Rake NP1 83 71 159 NP2 180 70 20 Principal Axes: Axis Value Plunge Azimuth T 3.63e+21 28 41 N 0.00e+00 62 223 P -3.63e+21 1 132 Moment Tensor: (dyne-cm) Component Value Mxx -5.61e+14 Mxy 3.21e+21 Mxz 1.17e+21 Myy -7.98e+20 Myz 9.51e+20 Mzz 7.98e+20 ------######## ---------############# -----------################# ------------########### #### -------------############ T ###### --------------############ ####### ---------------####################### ---------------######################### ---------------######################### ----------------########################## ----------------#######################--- ----------------####################------ #---------------###############----------- ######---------#######------------------ ###############------------------------- ###############----------------------- ##############---------------------- #############----------------- - ############---------------- P ###########---------------- #########------------- ######-------- Global CMT Convention Moment Tensor: R T P 7.98e+20 1.17e+21 -9.51e+20 1.17e+21 -5.61e+14 -3.21e+21 -9.51e+20 -3.21e+21 -7.98e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20110714065909/index.html |
STK = 180 DIP = 70 RAKE = 20 MW = 3.64 HS = 9.0
The waveform inversion is preferred.
The following compares this source inversion to others
USGS/SLU Moment Tensor Solution ENS 2011/07/14 06:59:09:0 50.12 0.75 10.0 4.3 England/France Stations used: BN.EKB BN.SBD BN.WOL CH.BALST CH.BNALP CH.BOURR CH.EMV CH.GIMEL CH.SENIN FR.OG35 GB.CWF GB.EDI GB.HTL GB.JSA GB.SWN1 G.ECH GE.WLF GR.TNS Filtering commands used: hp c 0.02 n 3 lp c 0.06 n 3 br c 0.12 0.25 n 4 p 2 Best Fitting Double Couple Mo = 3.63e+21 dyne-cm Mw = 3.64 Z = 9 km Plane Strike Dip Rake NP1 83 71 159 NP2 180 70 20 Principal Axes: Axis Value Plunge Azimuth T 3.63e+21 28 41 N 0.00e+00 62 223 P -3.63e+21 1 132 Moment Tensor: (dyne-cm) Component Value Mxx -5.61e+14 Mxy 3.21e+21 Mxz 1.17e+21 Myy -7.98e+20 Myz 9.51e+20 Mzz 7.98e+20 ------######## ---------############# -----------################# ------------########### #### -------------############ T ###### --------------############ ####### ---------------####################### ---------------######################### ---------------######################### ----------------########################## ----------------#######################--- ----------------####################------ #---------------###############----------- ######---------#######------------------ ###############------------------------- ###############----------------------- ##############---------------------- #############----------------- - ############---------------- P ###########---------------- #########------------- ######-------- Global CMT Convention Moment Tensor: R T P 7.98e+20 1.17e+21 -9.51e+20 1.17e+21 -5.61e+14 -3.21e+21 -9.51e+20 -3.21e+21 -7.98e+20 Details of the solution is found at http://www.eas.slu.edu/eqc/eqc_mt/MECH.EU/20110714065909/index.html |
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.
![]() |
|
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 0.02 n 3 lp c 0.06 n 3 br c 0.12 0.25 n 4 p 2The results of this grid search from 0.5 to 19 km depth are as follow:
DEPTH STK DIP RAKE MW FIT WVFGRD96 0.5 180 65 15 3.41 0.4704 WVFGRD96 1.0 175 90 0 3.40 0.5043 WVFGRD96 2.0 180 70 20 3.51 0.6039 WVFGRD96 3.0 180 70 20 3.54 0.6413 WVFGRD96 4.0 180 65 20 3.57 0.6631 WVFGRD96 5.0 180 65 20 3.58 0.6741 WVFGRD96 6.0 180 70 20 3.59 0.6798 WVFGRD96 7.0 175 80 15 3.58 0.6826 WVFGRD96 8.0 180 70 25 3.63 0.6865 WVFGRD96 9.0 180 70 20 3.64 0.6865 WVFGRD96 10.0 180 70 20 3.65 0.6847 WVFGRD96 11.0 175 85 20 3.64 0.6835 WVFGRD96 12.0 175 85 20 3.65 0.6814 WVFGRD96 13.0 175 85 20 3.66 0.6779 WVFGRD96 14.0 175 80 15 3.66 0.6735 WVFGRD96 15.0 175 80 15 3.67 0.6682 WVFGRD96 16.0 175 85 15 3.68 0.6615 WVFGRD96 17.0 175 85 15 3.69 0.6537 WVFGRD96 18.0 175 85 15 3.69 0.6460 WVFGRD96 19.0 175 85 15 3.70 0.6374 WVFGRD96 20.0 175 85 15 3.71 0.6278 WVFGRD96 21.0 175 85 15 3.72 0.6176 WVFGRD96 22.0 175 85 15 3.72 0.6062 WVFGRD96 23.0 175 85 15 3.73 0.5962 WVFGRD96 24.0 175 85 15 3.73 0.5854 WVFGRD96 25.0 175 85 15 3.74 0.5740 WVFGRD96 26.0 175 85 15 3.75 0.5626 WVFGRD96 27.0 175 85 15 3.75 0.5519 WVFGRD96 28.0 175 85 15 3.76 0.5409 WVFGRD96 29.0 175 85 15 3.77 0.5296
The best solution is
WVFGRD96 9.0 180 70 20 3.64 0.6865
The mechanism correspond to the best fit is
![]() |
|
The best fit as a function of depth is given in the following figure:
![]() |
|
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 0.02 n 3 lp c 0.06 n 3 br c 0.12 0.25 n 4 p 2
![]() |
|
![]() |
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:
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.
Should the national backbone of the USGS Advanced National Seismic System (ANSS) be implemented with an interstation separation of 300 km, it is very likely that an earthquake such as this would have been recorded at distances on the order of 100-200 km. This means that the closest station would have information on source depth and mechanism that was lacking here.
Dr. Harley Benz, USGS, provided the USGS USNSN digital data. The digital data used in this study were provided by Natural Resources Canada through their AUTODRM site http://www.seismo.nrcan.gc.ca/nwfa/autodrm/autodrm_req_e.php, and IRIS using their BUD interface.
Thanks also to the many seismic network operators whose dedication make this effort possible: University of Alaska, University of Washington, Oregon State University, University of Utah, Montana Bureas of Mines, UC Berkely, Caltech, UC San Diego, Saint L ouis University, Universityof Memphis, Lamont Doehrty Earth Observatory, Boston College, the Iris stations and the Transportable Array of EarthScope.
The WUS 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
Here we tabulate the reasons for not using certain digital data sets
The following stations did not have a valid response files:
DATE=Thu Jul 14 15:32:20 CDT 2011