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Modern seismometer
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If you speeded up any earthquake signal and listened to it with a hi fi, it would sound like thunder. east-west north-south up-down Three components of motion can be measured
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Station 1 Station 2 Station 3 Station 4 Station 5
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Different kinds of waves exist within solid materials Body waves – propagate throughout a solid medium
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Compressional Waves in one- and two- dimensions
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Shear waves in one- and two- dimensions
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Shear velocity Compressional velocity = shear modulus = shear stress / shear strain (restoring force to shear) k = bulk modulus = 1/compressibility (restoring force to compression) Different types of waves have different speeds P-waves travel faster than S-waves (and both travel faster than surface waves) (just like waves on a string) (a bit like a slinky)
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P-waves get there first…
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Rayleigh Love As well as body waves, there are surface waves that propagate along a surface
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Different kinds of damage…. P-wave S-wave Sfc-wave All
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P-wave arrival S-wave arrival Surface waves arrival
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= Hypocenter Difference between P-wave and S-wave arrival can be used to locate the location of an earthquake more effectively…
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Difference between p- and s-waves can be used to track location
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Need 3 stations to isolate location (and the more the better)
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The “first-motion” of the earthquake signal has information about the motion on the fault that generated it. east-west north-south up-down The sense of motion can be used to infer the motion that caused it.
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The orientation of faults can be determined from seismic networks
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Go to board for Snell’s law
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FAST SLOW Back to Snell’s Law Any change in wave speed due to composition change with height will cause refraction of rays…. This one applies to the crust
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Do this on the board
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Seismology can be used to infer the structure of the interior of the Earth
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First, recall that wave paths are curved within the Earth due to refraction.
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If the Earth were homogenous in composition…
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aesthenosphere crust core mesosphere But seismic velocities show great variety of structure moho
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S waves cannot propagate through the core, leading to a huge shadow zone S waves cannot propagate in a fluid (fluids cannot support shear stresses)
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Shadow zones for P-waves exist but less b/c propagation through the core
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Animation of P wave rays
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Animation of P wave fronts
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The pathways from any given source are constrained…
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Seismic “phases” are named according to their paths P – P wave only in the mantle PP – P wave reflected off earths surface so there are two P wave segments in the mantle pP – P wave that travels upward from a deep earthquake, reflects off the surface and then has a single segment in the mantle PKP – P wave that has two segments in the mantle separated by a segment in the core
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Ray path examples…
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Can be identified from individual seismograms (just about)
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What do we know about the interior composition of the Earth?
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How does seismology help?
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Velocity beneath Hawaii…
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Beneath subduction zones Note the occurrence of deep earthquakes co-located with the down-going slab
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Beneath subduction zones
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Earthquake number by Richter Scale – variations over time?
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Earthquakes are bad for you….
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Earthquakes are dangerous Bam, Iran, 2003
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Earthquakes are dangerous Chi-chi Taiwan, 1999
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Earthquakes are dangerous Seattle, 1956 Seattle, 2003
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Earthquakes are dangerous Sichuan, China, 2008
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“Helicorder” record of the Sumatra Earthquake and aftershocks recorded in the Czech Republic (December 26, 2004)
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Earthquakes are dangerous El Salvador, 2001
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Earthquakes are dangerous Kasmir, 2006
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Where, when, and how?
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U.S. Earthquakes, 1973-2002 Source, USGS. 28,332 events. Purple dots are earthquakes below 50 km, the green dot is below 100 km.
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Earthquakes in California – different frequency in different sections of the fault creeping 1906 break 1857 break
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USGS shake maps – 2% likelihood of seeing peak ground acceleration equal to given color in the next 50 years Units of “g”
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USGS shake maps – 2% likelihood of seeing peak ground acceleration equal to given color in the next 50 years Close to home…
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USGS shake maps – 10% likelihood of seeing this level of acceleration in The next 50 years
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USGS shake maps – Shaking depends on what you’re sitting on.
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Different ways of measuring Earthquakes – Part 1. By damage
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1966 Parkfield Earthquake Notorious for busted forecast of earthquake frequency.
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I-80 Freeway collapse (65 deaths) Different ways of measuring Earthquakes – Part 1. By damage Loma-Prieta Earthquake 1989
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Northridge Earthquake, 1994 Different ways of measuring Earthquakes – Part 1. By damage
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1906 San Francisco vs. 1811 New Madrid
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Different ways of measuring Earthquakes – Part 1. By damage Extent of damage varies widely Charleston, MO Earthquake
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quantifies the amount of seismic energy released by an earthquake. base-10 logarithmic based on the largest displacement, A, from zero on a Wood–Anderson torsion seismometer output. M L = log 10 A − log 10 A 0 ( L) A 0 is an empirical function depending only on the distance of the station from the epicenter, L. So an earthquake that measures 5.0 on the Richter scale has a shaking amplitude 10 times larger than one that measures 4.0. The effective limit of measurement for local magnitude is about ML = 6.8 (before seismometer breaks). Different ways of measuring Earthquakes – Part 2. Richter Scale
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Two pieces of information used to calculate size of Earthquake: a)Deflection of seismometer, b)b) distance from source (based on P & S wave arrivals)
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Equivalency between magnitude and energy Different ways of measuring Earthquakes – Part 2. Richter Scale
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E seismic = M 0 10 -4.8 = 1.6 M 0 · 10 -5 ‘Moment Magnitude’ = force/unit area · displacement · fault area = shear modulus · displacement · fault area = total elastic energy released Earthquake “moment” a. Total energy released in an earthquake b. Only a small fraction released as seismic waves c. Create logarithmic scale… Different ways of measuring Earthquakes – Part 3. By energy released
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Equivalence of seismic moment and rupture length a)Depends on earthquake size b)Depends on fault type Different ways of measuring Earthquakes – Part 3. By energy released
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Distribution of slip For various Earthquakes Different ways of measuring Earthquakes – Part 3. By energy released
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Different ways of measuring Earthquakes – Part 3. By energy released
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If you speeded up any earthquake signal and listened to it with a hi fi, it would sound like thunder. This is the sound of the 2004 Parkfield 6.0 Earthquake More information can come from analyzing Earthquake
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Amplitude Frequency Narrow band filters A spectrum what you get when you listen to a signal through a series of narrow band filters
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Amplitude vs. time for different frequency bands Lower frequencies have larger amplitudes
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Theoretical shapes for earthquakes
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And the resulting velocity spectrum
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Log10 frequency (hz) Log 10 Moment (dyne-cm) 1/f (for a box car) 1/f 2 (in reality) But real earthquakes don’t do this
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Instead there is a ramp-up time… The time series of displacement looks very similar
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The theoretical spectrum for a “box car” velocity function decreases as 1/f. Observations show a 1/f 2 behavior. This can be explained as ramping (i.e acceleration) of the velocity at the start and end. Which fits much better with the velocity spectrum
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1/source duration Scaled moment 1/ramp time Get lots of useful information from a velocity spectrum…
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Log10 frequency (hz) Log 10 Moment (dyne-cm) 1/f 2 T o ~ 30 seconds The maximum amplitude gives information about the moment magnitude of the Earthquake
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