Relationship between the frequency magnitude distribution and the visibility graph in the synthetic seismicity generated by a simple stick-slip system with asperities

Luciano Telesca; Michele Lovallo; Alejandro Ramirez-Rojas; Leticia Flores-Marquez

doi:10.1371/journal.pone.0106233

Relationship between the frequency magnitude distribution and the visibility graph in the synthetic seismicity generated by a simple stick-slip system with asperities

PLoS One. 2014 Aug 27;9(8):e106233. doi: 10.1371/journal.pone.0106233. eCollection 2014.

Authors

Luciano Telesca¹, Michele Lovallo², Alejandro Ramirez-Rojas³, Leticia Flores-Marquez⁴

Affiliations

¹ Institute of Methodologies for Environmental Analysis, National Research Council, Tito, Italy.
² ARPAB, Potenza, Italy.
³ Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana, Azcapotzalco, México.
⁴ Instituto de Geofisica, Universidad Nacional Autónoma de México, México D.F., México.

Abstract

By using the method of the visibility graph (VG) the synthetic seismicity generated by a simple stick-slip system with asperities is analysed. The stick-slip system mimics the interaction between tectonic plates, whose asperities are given by sandpapers of different granularity degrees. The VG properties of the seismic sequences have been put in relationship with the typical seismological parameter, the b-value of the Gutenberg-Richter law. Between the b-value of the synthetic seismicity and the slope of the least square line fitting the k-M plot (relationship between the magnitude M of each synthetic event and its connectivity degree k) a close linear relationship is found, also verified by real seismicity.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Geological Phenomena*
Least-Squares Analysis
Statistical Distributions*
Stress, Mechanical*
Torsion, Mechanical

Grants and funding

The authors have no support or funding to report.