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Focal mechanisms!
Nori Nakata!Stanford University!
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Faulting!
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Faulting!N
Dip
Strike
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Faulting!
Dip
Strike
Rake
N
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Focal mechanism!
Dip
Strike
Rake
N
Strike: 0-360 Dip: 0-90 Rake: 0-360
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[s, d, r]=[0,90,0]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,0]!
Dip
Strike
Rake
N
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[s, d, r]=[0,60,0]!
Dip
Strike
Rake
N
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[s, d, r]=[0,60,0]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90-0,0]!90
0 30
60
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[s, d, r]=[30,90,0]!
Dip
Strike
Rake
N
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[s, d, r]=[30,90,0]!
Dip
Strike
Rake
N
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[s, d, r]=[30,60,0]!
Dip
Strike
Rake
N
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[s, d, r]=[30,60,0]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,30]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,30]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,60]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,60]!
Dip
Strike
Rake
N
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[s, d, r]=[270,30,0]!
Dip
Strike
Rake
N
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[s, d, r]=[270,30,0]!
Dip
Strike
Rake
N
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[s, d, r]=[30,30,60]!
Dip
Strike
Rake
N
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[s, d, r]=[30,30,60]!
Dip
Strike
Rake
N
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[s, d, r]=[0,90,0-270]!0
270
120
150
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[s, d, r]=[30,90,0-270]!0
270
120
150
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[s, d, r]=[30,60,0-270]!0
270
120
150
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Are they enough?!
Dip
Strike
Rake
N
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Are they enough?!
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Moment tensor!
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Moment tensor!
[s,d,r]=[0,90,0]
1p2
0
@0 1 01 0 00 0 0
1
A
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Moment tensor!0
@0.0566 0 0
0 1.7015 00 0 �1.758
1
A
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Moment tensor!0
@0.0566 0 0
0 1.7015 00 0 �1.758
1
A
0
@0 0 00 1.7298 00 0 �1.7298
1
A
0
@0.0566 0 0
0 �0.0283 00 0 0.0283
1
A
0
@�7.4e� 17 0 0
0 �7.4e� 17 00 0 �7.4e� 17
1
A
= + +
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Moment tensor!
= + +
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Moment magnitude!
Mw =
2
3
(log10 M0 � 9.1)
M0 =1p2
0
@X
ij
M2ij
1
A1/2
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Faulting!N
Dip
Strike
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Faulting!
Dip
Strike
Rake
N
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Faulting!
Dip
Strike
Rake
N
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Faulting!
Dip
Strike
Rake
N
Rake = 0 (left) 180 (right) Rake = 90 Rake = 270
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Left-lateral strike slip (rake=0)!
Dip
Strike0 60 1209030
90
60
30
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Right-lateral strike slip (rake=180)!
Dip
Strike0 60 1209030
90
60
30
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Normap-dip slip (rake=270)!
Dip
Strike0 60 1209030
90
60
30
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Reverse-dip slip (rake=90)!
Dip
Strike0 60 1209030
90
60
30
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Reverse-dip slip (rake=90)!
Dip
Strike0 60 1209030
90
60
30
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P and T axes!P: maximum compressive principal stress T: minimum compressive principal stress
T P
v
v
NP1
NP2
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Radiation pattern!
Pujol (2003)
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Moment tensor!
= + +
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Characterize earthquake!
What kind of faulting? Is the dip shallow or steep? Is the mechanism deviatoric? …
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Characterize earthquake!What kind of faulting? Is the dip shallow or steep? Is the mechanism deviatoric? What is the horizontal direction of faulting?
[s,d,r]=[30,60,180]
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Characterize earthquake![s,d,r]=[30,60,180] What kind of faulting?
Right lateral strike slip Is the dip shallow or steep? Steep Is the mechanism deviatoric? Yes What is the horizontal direction of faulting? 30 degrees from North
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Characterize earthquake![s,d,r]=[30,30,60] What kind of faulting?
Is the dip shallow or steep? Is the mechanism deviatoric? What is the horizontal direction of faulting?
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Characterize earthquake![s,d,r]=[30,30,60] What kind of faulting?
Mostly reverse-dip slip with some left-lateral strike slip Is the dip shallow or steep? Shallow Is the mechanism deviatoric? Yes What is the horizontal direction of faulting? 30 degrees from North
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What kind of faulting? Is the dip shallow or steep (closer to 0 or 90 degrees)? Is the mechanism deviatoric? What is meant by “centroid”?
http://earthquake.usgs.gov/earthquakes/
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What kind of faulting? What is the strike? Is the mechanism deviatoric?
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What kind of faulting? What is the dip? Is the mechanism deviatoric?
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What kind of faulting? Which is the fault plane?
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Records!
source
path
site
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Instrument response! 10−4
10−2
100
Ampl
itude
(cm
/s)
a)
KiK−netderivative of Hi−netresponse−corrected Hi−net
10−4
10−2
100
102
Ampl
itude
ratio
b)
without correctionwith correction
10−1 100 1010
180
360
Frequency (Hz)
Phas
e di
ffere
nce
(deg
)
c) without correctionwith correction
Nakata (2013)