Focal mechanisms! Nori Nakata! Stanford University! Faulting! Faulting! N Strike Dip Faulting! N Strike Dip
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Focal mechanisms!
Nori Nakata! Stanford University!
Faulting!
Faulting! N
Strike
Dip
Faulting! N
Strike
Dip
Rake
Focal mechanism! N
Strike
Dip
Rake
Strike: 0-360 Dip: 0-90 Rake: 0-360
[s, d, r]=[0,90,0]! N
Strike
Dip
Rake
[s, d, r]=[0,90,0]! N
Strike
Dip
Rake
[s, d, r]=[0,60,0]! N
Strike
Dip
Rake
[s, d, r]=[0,60,0]! N
Strike
Dip
Rake
[s, d, r]=[0,90-0,0]! 90
60
30
0
[s, d, r]=[30,90,0]! N
Strike
Dip
Rake
[s, d, r]=[30,90,0]! N
Strike
Dip
Rake
[s, d, r]=[30,60,0]! N
Strike
Dip
Rake
[s, d, r]=[30,60,0]! N
Strike
Dip
Rake
[s, d, r]=[0,90,30]! N
Strike
Dip
Rake
[s, d, r]=[0,90,30]! N
Strike
Dip
Rake
[s, d, r]=[0,90,60]! N
Strike
Dip
Rake
[s, d, r]=[0,90,60]! N
Strike
Dip
Rake
[s, d, r]=[270,30,0]! N
Strike
Dip
Rake
[s, d, r]=[270,30,0]! N
Strike
Dip
Rake
[s, d, r]=[30,30,60]! N
Strike
Dip
Rake
[s, d, r]=[30,30,60]! N
Strike
Dip
Rake
[s, d, r]=[0,90,0-270]! 0
120
150
270
[s, d, r]=[30,90,0-270]! 0
120
150
270
[s, d, r]=[30,60,0-270]! 0
120
150
270
Are they enough?! N
Strike
Dip
Rake
Are they enough?!
Moment tensor!
Moment tensor! [s,d,r]=[0,90,0]
0
1
0 1 0 1 @ p 1 0 0 A 2 0 0 0
Moment tensor! 0
0.0566 @ 0 0
0 1.7015 0
1
0 A 0 1.758
Moment tensor! 0
0.0566 @ 0 0
0 1.7015 0
1
0
0 A 0 1.758
0 0 @ 0 1.7298 0 0
= 0 @
7.4e 0 0
1
0 A 0 1.7298
+ 17
0 7.4e 0
17
0 0 7.4e
+
17
1 A
0
0.0566 @ 0 0
1
0 0 A 0.0283 0 0 0.0283
Moment tensor!
=
+
+
Moment magnitude! 0
11/2
1 @X 2 A Mij M0 = p 2 ij 2 Mw = (log10 M0 3
9.1)
Faulting! N
Strike
Dip
Faulting! N
Strike
Dip
Rake
Faulting! N
Strike
Dip
Rake
Faulting! N
Strike
Rake = 0 (left) 180 (right)
Dip
Rake
Rake = 270
Rake = 90
Left-lateral strike slip (rake=0)! Dip 90
60
30
0
30
Strike 60
90
120
Right-lateral strike slip (rake=180)! Dip 90
60
30
0
30
Strike 60
90
120
Normap-dip slip (rake=270)! Dip 90
60
30
0
30
Strike 60
90
120
Reverse-dip slip (rake=90)! Dip 90
60
30
0
30
Strike 60
90
120
Reverse-dip slip (rake=90)! Dip 90
60
30
0
30
Strike 60
90
120
P and T axes! P: maximum compressive principal stress T: minimum compressive principal stress
NP2
T P NP1
Radiation pattern!
Pujol (2003)
Moment tensor!
=
+
+
Characterize earthquake! What kind of faulting? Is the dip shallow or steep? Is the mechanism deviatoric? …
Characterize earthquake! [s,d,r]=[30,60,180]
What kind of faulting? Is the dip shallow or steep? Is the mechanism deviatoric? What is the horizontal direction of faulting?
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
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?
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
http://earthquake.usgs.gov/ earthquakes/
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”?
What kind of faulting? What is the strike? Is the mechanism deviatoric?
What kind of faulting? What is the dip? Is the mechanism deviatoric?
What kind of faulting? Which is the fault plane?
Records! site source
path
a) Amplitude (cm/s) Amplitude ratio
Instrument response!
0
10
10
−2
10
−4
KiK−net derivative of Hi−net response−corrected Hi−net
10
b) 2
0
10
−2
10
without correction with correction
−4
Nakata (2013)
Phase difference (deg)
c)
10
without correction with correction
360 180 0 −1
10
0
1
10 10 Frequency (Hz)