Gutenberg–Richter law
Law in seismology describing earthquake frequency and magnitude / From Wikipedia, the free encyclopedia
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In seismology, the Gutenberg–Richter law[1] (GR law) expresses the relationship between the magnitude and total number of earthquakes in any given region and time period of at least that magnitude.
or
where
- is the number of events having a magnitude ,
- and are constants, i.e. they are the same for all values of and .
Since magnitude is logarithmic, this is an instance of the Pareto distribution.
The Gutenberg–Richter law is also widely used for acoustic emission analysis due to a close resemblance of acoustic emission phenomenon to seismogenesis.