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Automated Earthquake Response Systems. Tom Heaton, Caltech Hiroo Kanamori, Caltech Egill Hauksson, Caltech Georgia Cua, ETH, Switzerland Masumi Yamada, Kyoto Univ Maren Böse, Caltech. Earthquake Alerting … a different kind of prediction.
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Automated Earthquake Response Systems Tom Heaton, Caltech Hiroo Kanamori, Caltech Egill Hauksson, Caltech Georgia Cua, ETH, Switzerland Masumi Yamada, Kyoto Univ Maren Böse, Caltech
Earthquake Alerting … a different kind of prediction • What if earthquakes were really slow, like the weather? • We could recognize that an earthquake is beginning and then broadcast information on its development … on the news. • “an earthquake on the San Andreas started yesterday. Seismologists warn that it may continue to strengthen into a great earthquake and they predict that severe shaking will hit later today.”
Shakeout Simulation (Aagaard and Graves) • ..\Documents\2008\ShakeOut_LosAngeles_lowres.mov
If the earthquake is fast, can we be faster? • Everything must be automated • Data analysis that a seismologist uses must be automated • Communications must be automated • Actions must be automated • Common sense decision making must be automated
How would the system work? • Seismographic Network computers provide estimates of the location, size, and reliability of events using data available at any instant … estimates are updated each second • Each user is continuously notified of updated information …. User’s computer estimates the distance of the event, and then calculates an arrival time, size, and uncertainty • An action is taken when the expected benefit of the action exceeds its cost • In the presence of uncertainty, false alarms must be expected and managed
What we need is a special seismologist • Someone who has good knowledge of seismology • Someone who has good judgment • Someone who works very, very fast • Someone who doesn’t sleep • We need a Virtual Seismologist
Ground motion envelope: our definition Full acceleration time history Efficient data transmission 3 components each of Acceleration, Velocity, Displacement, of 9 samples per second envelope definition– max.absolute value over 1-second window
Estimating M from ratios of P-wave motions • P-wave frequency content scales with M (Allen and Kanamori, 2003, Nakamura, 1988) • Find the linear combination of log(acc) and log(disp) that minimizes the variance within magnitude-based groups while maximizing separation between groups (eigenvalue problem) • Estimating M from Zad
CPP MLS WLT DLA SRN PLS LLS STG • Voronoi cells are nearest neighbor regions • If the first arrival is at SRN, the event must be within SRN’s Voronoi cell • Green circles are seismicity in week prior to mainshock
What about Large Earthquakes with Long Ruptures? • Large events are infrequent, but they have potentially grave consequences • Large events potentially provide the largest warnings to heavily shaken regions • Point source characterizations are adequate for M<7, but long ruptures (e.g., 1906, 1857) require finite fault
Strategy to Handle Long Ruptures • Determine the rupture dimension by using high-frequencies to recognize which stations are near source • Determine the approximate slip (and therefore instantaneous magnitude) by using low-frequencies and evolving knowledge of rupture dimension • We are using Chi-Chi earthquake data to develop and test algorithms
10 seconds after origin 20 seconds after origin Near-field Far-field Near-field Far-field
30 seconds after origin 40 seconds after origin Near-field Far-field Near-field Far-field
Once rupture dimension is known • Obtain approximate slip from long-periods • Real-time GPS would be very helpful • Evolving moment magnitude useful for estimating probable rupture length • Magnitude critical for tsunami warning
Real-time prediction of ultimate rupture Bӧse and Heaton, in prep. Remaining Rupture Length slip Is the rupture on the San Andreas fault?
Distributed and Open Seismic Network • Just in the gedanken phase • Tens of thousands of inexpensive seismometers running on client computers. • Sensors in buildings, homes, buisinesses • Data managed by a central site and available to everyone. • It will change the world!
Conclusions • Earthquake warning is an extension of current systems that provide rapid information in earthquakes (e.g. ShakeMap) • Significant warning times can be achieved for moderate to light shaking • Heavily damaged areas in moderate events (M 6) will not receive warning • Heavily damaged areas in great earthquakes (M 7.5) will receive • Strategies to determine rupture dimension and slip look very promising • User decision making should be based on cost/benefit analysis …need to develop a community that develops optimal responses • Managing expectations is critical … users must understand what EEW won’t do.
Probabilistic Rupture Prediction → Probabilistic Ground Shaking Bӧse and Heaton, in prep.
We are experimenting with different Linear Discriminant analyses to distinguish near-field from far-field records
Percent of area receiving warning time T or greater(log N*=6.89-Mw) Pseudovelocity [cm/sec] Warning time T [sec] Heaton, 1985
3 sec after initial P detection at SRN Epi dist est=33 km M=5.5 Single station estimate: • Prior information: • Voronoi cells • Gutenberg-Richter M, R estimates using 3 sec observations at SRN No prior information 8 km M=4.4 • Prior information: • Voronoi cells • No Gutenberg-Richter 9 km M=4.8 Note: star marks actual M, RSRN
Virtual Seismologist (VS) method for seismic early warning • Bayesian approach to seismic early warning designed for regions with distributed seismic hazard/risk • Modeled on “back of the envelope” methods of human seismologists for examining waveform data • Shape of envelopes, relative frequency content • Robust analysis • Capacity to assimilate different types of information • Previously observed seismicity • State of health of seismic network • Known fault locations • Gutenberg-Richter recurrence relationship
Data set for learning the envelope characteristics Most data are from TriNet, but many larger records are from COSMOS • 70 events, 2 < M < 7.3, R < 200 km • Non-linear model estimation (inversion) to characterize waveform envelopes for these events • ~30,000 time histories
Average Rock and Soil envelopes as functions of M, R rms horizontal acceleration
Sum of 9 point source envelopes • Vertical acceleration
horizontal acceleration ampl rel. to ave. rock site Vertical P-wave acceleration ampl rel. to ave. rock site horizontal velocity ampl rel. to ave. rock site vertical P-wave velocity ampl rel. to ave. rock site
Strategy for acceleration envelopes • High-frequency energy is proportional to rupture are (Brune scaling) • Sum envelopes from 10-km patches