Relationship between the Frequency Magnitude Distribution and the Visibility Graph in the Synthetic Seismicity Generated by a Simple Stick-Slip System with Asperities | Zendy

Luciano Telesca | Zendy; Michele Lovallo | Zendy; Alejandro Ramírez-Rojas | Zendy; Elsa Leticia Flores-Márquez | Zendy

Open Access

Relationship between the Frequency Magnitude Distribution and the Visibility Graph in the Synthetic Seismicity Generated by a Simple Stick-Slip System with Asperities

Author(s) -

Luciano Telesca,

Michele Lovallo,

Alejandro Ramírez-Rojas,

Elsa Leticia Flores-Márquez

Publication year - 2014

Publication title -

plos one

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.99

H-Index - 332

ISSN - 1932-6203

DOI - 10.1371/journal.pone.0106233

Subject(s) - induced seismicity , slip (aerodynamics) , magnitude (astronomy) , visibility , visibility graph , graph , geology , simple (philosophy) , geodesy , seismology , statistical physics , physics , mathematics , geometry , optics , combinatorics , regular polygon , thermodynamics , philosophy , epistemology , astronomy

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.

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