A plausible explanation of the b-value in the Gutenberg-Richter law from first Principles

It is explained, from first Principles, why in the Gutenberg-Richter law (stating that the cumulative number of earthquakes N(>M) with magnitude greater than M is given by N(>M) ~ 10(−b)(M)) the so called b-value is usually found to be around unity varying only slightly from region to region....

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Detalles Bibliográficos
Autores principales: Varotsos, Panayiotis A., Sarlis, Nicholas V., Skordas, Efthimios S., Tanaka, Haruo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Japan Academy 2004
Materias:
Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8147673/
Descripción
Sumario:It is explained, from first Principles, why in the Gutenberg-Richter law (stating that the cumulative number of earthquakes N(>M) with magnitude greater than M is given by N(>M) ~ 10(−b)(M)) the so called b-value is usually found to be around unity varying only slightly from region to region. The explanation is achieved just by applying the analysis in the natural time domain, without using any adjustable parameter.

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