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Multifractal Properties of Time Series of Synthetic Earthquakes Obtained from a Spring-Block Model.

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Analysis of Aftershocks from California and Synthetic Series by Using Visibility Graph Algorithm.

Alejandro Muñoz-Diosdado1, Ana María Aguilar-Molina1, Eric Eduardo Solis-Montufar1

  • 1Unidad Profesional Interdisciplinaria de Biotecnología, Instituto Politécnico Nacional, Mexico City 07340, Mexico.

Entropy (Basel, Switzerland)
|February 26, 2025
PubMed
Summary

The Visibility Graph Algorithm (VGA) reveals seismic dynamics by transforming time series into networks. A significant decrease in network parameters after earthquakes, observed in both real and synthetic data, suggests a relaxation mechanism.

Keywords:
complex networksseismicity from Californiaseismicity seriesspring-block modelvisibility graph algorithm

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Area of Science:

  • Geophysics and seismology
  • Complex systems analysis
  • Time series analysis

Background:

  • Traditional seismic analysis often misses subtle correlations and dynamics.
  • The Visibility Graph Algorithm (VGA) offers a novel method to analyze time series by converting them into complex networks.
  • Understanding seismic activity, especially pre- and post-earthquake behavior, is crucial for forecasting.

Purpose of the Study:

  • To analyze seismic activity in Southern California using the Visibility Graph Algorithm.
  • To investigate changes in network properties before and after significant earthquakes.
  • To compare real seismic data with synthetic seismicity generated by a spring-block model.

Main Methods:

  • Applied the Visibility Graph Algorithm (VGA) to transform seismic time series into network representations.
  • Constructed seismic series preceding and following significant earthquakes using a windowing method.
  • Computed the k-M slope and average degree from the complex networks derived from seismic data.

Main Results:

  • Observed a significant decrease in the k-M slope and average degree after major earthquakes in Southern California.
  • Found similar decreases in these network parameters for synthetic seismicity series generated by a spring-block model.
  • The results suggest that the spring-block model captures relaxation dynamics akin to real seismic aftershocks.

Conclusions:

  • The Visibility Graph Algorithm (VGA) is effective for analyzing seismic events preceding and following major earthquakes.
  • The observed decrease in network parameters indicates a relaxation mechanism post-earthquake.
  • VGA may offer valuable trends for improved understanding and potential forecasting of seismic behavior.