Location
Location ANSS
The ANSS event ID is usp000hn3h and the event page is at
https://earthquake.usgs.gov/earthquakes/eventpage/usp000hn3h/executive.
2010/10/14 12:59:26 60.348 -140.628 1.0 4.3 Alaska
Focal Mechanism
USGS/SLU Moment Tensor Solution
ENS 2010/10/14 12:59:26:0 60.35 -140.63 1.0 4.3 Alaska
Stations used:
AK.BAL AK.BESE AK.BMR AK.BRLK AK.CTG AK.DCPH AK.EYAK AK.FID
AK.HDA AK.KLU AK.MCK AK.PIN AK.RAG AK.RC01 AK.RND AK.SCM
AK.SSN AK.SWD AK.WRH AT.SKAG CN.DAWY CN.DLBC CN.WHY US.EGAK
Filtering commands used:
hp c 0.02 n 3
lp c 0.06 n 3
Best Fitting Double Couple
Mo = 2.11e+22 dyne-cm
Mw = 4.15
Z = 13 km
Plane Strike Dip Rake
NP1 87 74 -143
NP2 345 55 -20
Principal Axes:
Axis Value Plunge Azimuth
T 2.11e+22 12 212
N 0.00e+00 50 107
P -2.11e+22 37 311
Moment Tensor: (dyne-cm)
Component Value
Mxx 8.59e+21
Mxy 1.58e+22
Mxz -1.04e+22
Myy -1.80e+21
Myz 5.34e+21
Mzz -6.79e+21
---###########
----------############
---------------#############
------------------############
---------------------#############
------- -------------#############
-------- P --------------#############
--------- ---------------#############
----------------------------############
-----------------------------#############
------------------------------###########-
------------------------------########----
#####-------------------------#-----------
##############################----------
##############################----------
#############################---------
###########################---------
##########################--------
#### #################------
### T ################------
###############----
#############-
Global CMT Convention Moment Tensor:
R T P
-6.79e+21 -1.04e+22 -5.34e+21
-1.04e+22 8.59e+21 -1.58e+22
-5.34e+21 -1.58e+22 -1.80e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20101014125926/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 = 345
DIP = 55
RAKE = -20
MW = 4.15
HS = 13.0
The NDK file is 20101014125926.ndk
The waveform inversion is preferred.
Moment Tensor Comparison
The following compares this source inversion to those provided by others. The purpose is to look for major differences and also to note slight differences that might be inherent to the processing procedure. For completeness the USGS/SLU solution is repeated from above.
| SLU |
AEIC |
USGS/SLU Moment Tensor Solution
ENS 2010/10/14 12:59:26:0 60.35 -140.63 1.0 4.3 Alaska
Stations used:
AK.BAL AK.BESE AK.BMR AK.BRLK AK.CTG AK.DCPH AK.EYAK AK.FID
AK.HDA AK.KLU AK.MCK AK.PIN AK.RAG AK.RC01 AK.RND AK.SCM
AK.SSN AK.SWD AK.WRH AT.SKAG CN.DAWY CN.DLBC CN.WHY US.EGAK
Filtering commands used:
hp c 0.02 n 3
lp c 0.06 n 3
Best Fitting Double Couple
Mo = 2.11e+22 dyne-cm
Mw = 4.15
Z = 13 km
Plane Strike Dip Rake
NP1 87 74 -143
NP2 345 55 -20
Principal Axes:
Axis Value Plunge Azimuth
T 2.11e+22 12 212
N 0.00e+00 50 107
P -2.11e+22 37 311
Moment Tensor: (dyne-cm)
Component Value
Mxx 8.59e+21
Mxy 1.58e+22
Mxz -1.04e+22
Myy -1.80e+21
Myz 5.34e+21
Mzz -6.79e+21
---###########
----------############
---------------#############
------------------############
---------------------#############
------- -------------#############
-------- P --------------#############
--------- ---------------#############
----------------------------############
-----------------------------#############
------------------------------###########-
------------------------------########----
#####-------------------------#-----------
##############################----------
##############################----------
#############################---------
###########################---------
##########################--------
#### #################------
### T ################------
###############----
#############-
Global CMT Convention Moment Tensor:
R T P
-6.79e+21 -1.04e+22 -5.34e+21
-1.04e+22 8.59e+21 -1.58e+22
-5.34e+21 -1.58e+22 -1.80e+21
Details of the solution is found at
http://www.eas.slu.edu/eqc/eqc_mt/MECH.NA/20101014125926/index.html
|
|
Moment tensor inversion summary for event 2010/10/14 12:59
|
Date: 2010/10/14
Time: 12:59 (UTC)
Region: Yakutat Bay Region of Alaska
Mw=4.3
Location:
Lat. 60.3802; Lon. -140.6207; Depth 5 km
(Best-fitting depth from moment tensor inversion)
Solution quality: poor
Number of stations = 8
Best Double Couple:
strike dip rake
Plane 1: 338.6 58.7 -37.9
Plane 2: 90.6 58.3 -142.4
Moment Tensor Parameters:
Mo = 3.34318e+22 dyn-cm
Mxx = 1.74; Mxy = 2.21; Mxz = -0.95
Myy = 0.05; Myz = 1.41; Mzz = -1.79
Principal Axes:
value azimuth plunge
T: 3.26 34.66 0.26
N: 0.08 124.90 42.38
P: -3.34 304.37 47.62
|
|
|
|
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 ML by application of the respective IASPEI formulae. As a research study, the linear distance term of the IASPEI formula
for ML is adjusted to remove a linear distance trend in residuals to give a regionally defined ML. The defined ML 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 0.06 n 3
The results of this grid search are as follow:
DEPTH STK DIP RAKE MW FIT
WVFGRD96 0.5 320 45 -80 3.99 0.2290
WVFGRD96 1.0 100 70 20 3.85 0.2107
WVFGRD96 2.0 105 65 30 4.00 0.2732
WVFGRD96 3.0 100 70 20 4.00 0.3110
WVFGRD96 4.0 345 45 -35 4.10 0.3583
WVFGRD96 5.0 345 50 -35 4.10 0.4115
WVFGRD96 6.0 345 50 -35 4.11 0.4510
WVFGRD96 7.0 340 50 -30 4.09 0.4787
WVFGRD96 8.0 345 50 -35 4.17 0.5015
WVFGRD96 9.0 345 50 -35 4.17 0.5210
WVFGRD96 10.0 340 50 -30 4.16 0.5319
WVFGRD96 11.0 345 55 -35 4.17 0.5382
WVFGRD96 12.0 345 55 -20 4.15 0.5405
WVFGRD96 13.0 345 55 -20 4.15 0.5410
WVFGRD96 14.0 345 60 -20 4.16 0.5395
WVFGRD96 15.0 350 65 -30 4.17 0.5367
WVFGRD96 16.0 355 75 -30 4.18 0.5333
WVFGRD96 17.0 355 75 -30 4.18 0.5288
WVFGRD96 18.0 355 75 -30 4.19 0.5233
WVFGRD96 19.0 355 75 -30 4.19 0.5182
WVFGRD96 20.0 -5 75 -30 4.19 0.5121
WVFGRD96 21.0 -5 80 -35 4.21 0.5057
WVFGRD96 22.0 -5 75 -30 4.21 0.4988
WVFGRD96 23.0 -5 80 -35 4.22 0.4922
WVFGRD96 24.0 -5 80 -35 4.23 0.4841
WVFGRD96 25.0 -5 75 -30 4.23 0.4768
WVFGRD96 26.0 -5 80 -30 4.24 0.4691
WVFGRD96 27.0 -5 80 -30 4.25 0.4613
WVFGRD96 28.0 -5 80 -30 4.25 0.4532
WVFGRD96 29.0 -5 80 -30 4.26 0.4451
The best solution is
WVFGRD96 13.0 345 55 -20 4.15 0.5410
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 0.06 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 Sat Apr 27 02:24:21 PM CDT 2024
