Relationship between the Frequency Magnitude Distribution and the Visibility Graph in the Synthetic Seismicity Generated by a Simple Stick-Slip System with Asperities |
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| Authors: | Luciano Telesca Michele Lovallo Alejandro Ramirez-Rojas Leticia Flores-Marquez |
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| Affiliation: | 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.; Wake Forest School of Medicine, United States of America, |
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| 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. |
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