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

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.

Suggested Citation

  • Luciano Telesca & Michele Lovallo & Alejandro Ramirez-Rojas & Leticia Flores-Marquez, 2014. "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, Public Library of Science, vol. 9(8), pages 1-7, August.
    • Handle: RePEc:plo:pone00:0106233
    DOI: 10.1371/journal.pone.0106233
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    References listed on IDEAS

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    1. Andriana S L O Campanharo & M Irmak Sirer & R Dean Malmgren & Fernando M Ramos & Luís A Nunes Amaral, 2011. "Duality between Time Series and Networks," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
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    Cited by:

    1. Moreno-Torres, Lucia Rebeca & Gomez-Vieyra, Armando & Lovallo, Michele & Ramírez-Rojas, Alejandro & Telesca, Luciano, 2018. "Investigating the interaction between rough surfaces by using the Fisher–Shannon method: Implications on interaction between tectonic plates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 560-565.
    2. Stavros-Richard G. Christopoulos & Nicholas V. Sarlis, 2017. "An Application of the Coherent Noise Model for the Prediction of Aftershock Magnitude Time Series," Complexity, Hindawi, vol. 2017, pages 1-27, February.

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