Gutenberg-Richter Relation
Gutenberg-Richter Relation :
An empirical relation expressing the frequency (of occurrence) distribution of magnitudes of earthquakes occurring in a given area and time interval. It is given by log N(M) = a — bM, where M is the earthquake magnitude, N(M) is the number of earthquakes with magnitude greater than or equal to M, and a and b are constants (See: B-Value). It was obtained by Gutenberg and Richter (1941; 1949), and is equivalent to the power-law distribution of earthquake energies or moments. See: Utsu (2002b, p. 723), and Eqs. (7.1) - (7.2) in Ben-Zion (2003)
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