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During the course work of we done some practical in the lab, The key points are:Earthquake Mechanism, Explained, Earthquake, Compressional, Compressional Quadrants, Principal Strain, Intermediate, Propagating, Toward Positive, Instruments
Typology: Exercises
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As explained in the text and in lecture, the P waves radiated from the double-couple mechanism of an earthquake are compressional in some directions and dilatational in others. The two compressional quadrants are orthogonal to the dilatational quadrants (about the intermediate principal strain axis that is along the fault plane).
A P wave propagating out of a compressional quadrant will initially shift the ground upwards when it reaches a seismic recorder. We will use recorders that have recorded ground motion in the vertical direction. Seismograms from such instruments will initially move up or toward positive polarity when they are from a compressional quadrant. Seismograms from vertical instruments in a dilatational quadrant will show negative polarity from an initial downward motion.
The polarity of seismogram motions after the first motion can be extremely complicated. Usually it quickly becomes a series of positive-negative vibrations. Seismometers that are on the nodal plane between the compressional and dilatational quadrants of an earthquake do not record a strong first motion. Instead of being impulsive, their first arrivals are emergent. These are called nodal seismograms.
The seismogram plot below shows 13 seismograms recorded from a magnitude 4. aftershock of the the M6.2 May 1990 Weber II earthquake on the east side of the North Island of New Zealand. All the seismograms are from vertical instruments, located as indicated. Seismogram swings in the up direction have positive polarity. Look for an initial rise (or fall) out of the pre-arrival noise that looks more like an exponential curve than a sine wave. Note how the vibrations recorded by more distant stations have lower frequency. Relative record time increases to the right; these seismograms only plot arrivals in a 3-second window with the first motion about one second from the left side.
Print the seismograms. Circle the first motion on each one. Identify whether each first motion is compressional, dilatational, or nodal, and write your identification to the right of each seismogram.
The data that you can use to interpret a focal mechanism are your first-motion polarities plotted on a stereonet representing the focal sphere. Inferring the compressional and dilatational quadrants of the focal sphere allow you to suggest the strikes and dips of the fault plane and the auxiliary plane.
Longitude Latitude Distance, km
176.35° -40.250° 3.
176.17° -40.292° 14.
176.37° -40.061° 19.
176.28° -40.408° 20.
176.06° -40.106° 25.
176.47° -40.453° 27.
176.63° -40.339° 29.
176.09° -40.429° 29.
176.27° -40.618° 43.
176.81° -39.989° 48.
176.35° -39.699° 59.
176.88° -39.665° 78.
176.82° -39.541° 87.
To plot a seismogram's first-motion polarity on the stereonet, you need to estimate the take-off angle of the seismic ray at the focal sphere. Two angles are needed: the ray's azimuth from North and its inclination above horizontal. Assume that all the rays here propagate more or less in a straight line from the source at depth to the station at the surface. Since none of the rays are refracting off a deeper interface, we use the stereonet to represent the upper hemisphere of the focal sphere.
To get the ray's inclination, use the (horizontal) distance in the table below from the earthquake's epicenter to the recording station, and the earthquake's 16.7 km depth. The depth divided by the distance is the tangent of the inclination. The order of the stations in the table is the same as in the seismogram plot. The easiest way to get the azimuth is to use a protractor on a printout of the map below. Measure from the earthquake (filled, hatched circle) to each station (crosses). I also have codes for computing the azimuth from the source and receiver coordinates. The epicenter is Lon=176.3284° Lat=- 40.2295°.
Turn in a stereonet with all 13 polarities plotted on it. Use a filled circle for a compressional first motion, an open circle for a dilatational first motion, and a plus sign for a nodal seismogram.