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Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By...

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Evidence from the A.D. 2000 Izu isl ands earthquake s warm that stressi ng rate governs s eismicity By S., Stein, R.S. and Sagiya, T. In Nature(2002), Vol. 419, pg.58-61
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Page 1: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Evidence from the A.D.

2000 Izu islands earthq

uake swarm that stressi

ng rate governs seismici

ty

ByToda, S., Stein, R.S. and Sagiya, T.

InNature(2002), Vol. 419, pg.58-61

Page 2: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

(K. Yamaoka et al., 2005)

Location and Seismicity

by S. Nakada

Tokyo

Page 3: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

(K. Yamaoka et al., 2005)

Background Seismicity

Seismicity record

Swarm events during A.D. 2000

~7000 M 3 shocks≧5 M 6 shocks≧

Total seismic energy release~1.5 × 104 J 0

-2cm

-4cm

Page 4: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Swarm evolution (26 Jun ~ 29 July)

Off-dyke appears. Expands substantially after two weeks

Page 5: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

http://sicarius.wr.usgs.gov/animations.html

Dike model

8 km

13 km

Page 6: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

http://sicarius.wr.usgs.gov/animations.html

Dike model

8 km

13 km

~20m dike expansions

1.5 km3 vol. increases

Page 7: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Dike-model testShear stressing rate Seismicity rate change

(shear stress rate) ~ 150 bar/yr

Page 8: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Dike-model test

Dike-model can explain the swarm seismicity.

But how about other hypothesis?

Heated ground water effect?Propagation rate is not fast enough

Heat diffusion?The aftershocks duration is temperature-independent.

Page 9: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

GPS observation and number of M 3 earthquakes ≧

Page 10: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Main shock and after shocks duration

Page 11: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Aftershocks duration time

Shear stress rate

For the normal stress & duration time:

For the M ≈ 6 earthquake close to dike, ~ 0.3d, Calculated stress rate ~150 bar/yr

For the background M ≈ 6 shock, ~ 1 yr,Background stress rate ~0.1 bar/yr

Aσ~ 0.1 bar

(Constant)

Page 12: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Methods

State variable for seismicity formulation

Background seismicity rate

Reference stressing rate

Seismicity Rate

For the daily seismicity rate(without sudden stress drop )

Proportion of normal stress

State variable before each time step

Shear stress rate

Page 13: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Seismicity rate change when shear stress increases

)exp(at

t

0

0.2

0.4

0.6

0.8

1

1.2

0 20 40 60 80 100 120

Time

Seism

icity Rate

Page 14: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

MethodsFor the sudden stress change:

Earthquake stress change

Proportion of normal stress

State variable before each time step

State variable for seismicity formulation

And also

Page 15: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Seismicity rate change when sudden stress drop

Page 16: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

GPS observation and number of M 3 earthquakes ≧

With GPS and seismicity data, this event would be a good case to test the “Dieterich Law”

Page 17: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Aftershocks decay

(Observed) (Predicted)

( Aσ~ 0.1 bar ~ constant)

Page 18: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),
Page 19: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

If stressing rate model works in a swarm,the rate of damage earthquake can be forecast…

(times)

Page 20: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Conclusion

Rate/state stress transfer furnishes a comprehensive explanation for distributed swarm seismicity, triggering and clustering.

It also offers the prospect that near-real-time analysis of seismic and GPS data to forecast during future swarms.

The sudden stress change succeeded by a transient stressing rate change can be simulated by combining the two processes.

Page 21: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),
Page 22: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

Due to the oscillation of the stressing rate?

Page 23: Evidence from the A.D. 2000 Izu islands earthquake swarm that stressing rate governs seismicity By Toda, S., Stein, R.S. and Sagiya, T. In Nature(2002),

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