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Distribution of Earthquakes as Described by the Generalized Logistic Equation and the Gutenberg-Richter Magnitude-Frequency Formula | | Lev A. Maslov
; Vladimir M. Anokhin
; | | Date: |
27 Apr 2012 | | Abstract: | In this work we developed a new differential equation to study the statistics
of earthquake distributions. We call this equation the generalized logistic
equation. We used the solution of this equation to analyze earthquake data from
the following regions: the Central Atlantic, the Canary Islands, the Magellan
Mountains, and the Sea of Japan. Our solution showed excellent correspondence
with the observed cumulative distribution of earthquakes for all magnitudes.
Historically, the Gutenberg-Richter frequency-magnitude formula has been used
to study the distribution of earthquakes. However, the Gutenberg-Richter
formula is only accurate for large magnitudes. As shown in our analysis, the
Gutenberg-Richter formula is a special case of the solution to our generalized
logistic equation for large magnitudes. | | Source: | arXiv, 1204.6073 | | Services: | Forum | Review | PDF | Favorites | |
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