Earthquakes, log relationships, trig functions

Earthquakes, log relationships, trig functions

tom.h.wilson tom.wilson@mail.wvu.edu

Department of Geology and Geography West Virginia University Morgantown, WV

Objectives for the day

? Explore the use of frequency of earthquake occurrence and magnitude relations in seismology ? Learn to use the frequency magnitude model to estimate recurrence intervals for earthquakes of specified magnitude and greater. ? Learn how to express exponential functions in logarithmic form (and logarithmic functions in exponential form). ? Review graphical representations of trig functions and absolute value of simple algebraic expressions

Tom Wilson, Department of Geology and Geography

Problems

Tom Wilson, Department of Geology and Geography

Are small earthquakes much more common than large ones? Is there a relationship between frequency

of occurrence and magnitude?

Fortunately, the answer to this question is yes, but is there a relationship between the size of an earthquake and the number of such earthquakes?

World seismicity in the last 7 days (preceding January 22nd)

Tom Wilson, Department of Geology and Geography

Another site being phased in

If you change this to 2.5+ you only get about 220

Tom Wilson, Department of Geology and Geography

Larger number of magnitude 2 and 3's and many fewer M5's

Tom Wilson, Department of Geology and Geography

Number of earthquake of magnitude m and greater (y axis) versus magnitude (x axis)

Total number for the week

Tom Wilson, Department of Geology and Geography

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