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Focal mechanisms!

Nori Nakata! Stanford University! Faulting! Faulting!

N

Strike

Dip Faulting!

N

Strike

Dip !

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]

010 1 100 p 2 0 0001 @ A Moment tensor!

0.0566 0 0 01.7015 0 0 001.758 1 @ A Moment tensor!

0.0566 0 0 00 0 01.7015 0 01.7298 0 0 001.758 1 0 00 1.7298 1 @ A @ A

= + +

7.4e 17 0 0 0.0566 0 0 0 7.4e 17 0 0 0.0283 0 0 1 007.4e 17 0 000 .0283 1 @ A @ A Moment tensor!

= + + Moment magnitude!

1/2 1 M = M2 0 p 0 ij1 2 ij X @ A 2 M = (log M 9.1) w 3 10 0

Faulting!

N

Strike

Dip Faulting!

N

Strike

Dip Rake Faulting!

N

Strike

Dip Rake Faulting!

N

Strike

Dip Rake = 0 (left) Rake 180 (right) Rake = 270 Rake = 90 Left-lateral strike slip (rake=0)! Strike 030 6090 120 Dip

90

60

30 Right-lateral strike slip (rake=180)! Strike 030 6090 120 Dip

90

60

30 Normap-dip slip (rake=270)! Strike 030 6090 120 Dip

90

60

30 Reverse-dip slip (rake=90)! Strike 030 6090 120 Dip

90

60

30 Reverse-dip slip (rake=90)! Strike 030 6090 120 Dip

90

60

30 P and T axes! P: maximum compressive principal T: minimum compressive principal stress

NP2 v

v T P NP1 Radiation pattern!

Pujol (2003) Moment tensor!

= + + Characterize !

What kind of faulting?

Is the dip shallow or steep?

Is the mechanism deviatoric?

… Characterize earthquake! What kind of faulting? [s,d,r]=[30,60,180]

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/ / 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)

0 Instrument 10 −2 10

−4 response! 10 KiK−net

Amplitude (cm/s) derivative of Hi−net

b) response−corrected Hi−net

2 10

0 10

−2 10 without correction Amplitude ratio −4 with correction 10 c) without correction with correction 360

180

0

Phase difference (deg) −1 0 1 10 10 10 Nakata (2013) Frequency (Hz)