Fractal Models of Earthquake Dynamics

TL;DR

This paper reviews models of earthquake dynamics, focusing on the Two Fractal Overlap Model, which aims to replicate seismic activity by mimicking plate interactions and matching empirical seismic laws.

Contribution

It introduces and analyzes the Two Fractal Overlap Model as a novel approach to simulate earthquake behavior based on fractal geometry.

Findings

The model successfully reproduces key empirical seismic laws.

Fractal overlap dynamics provide insights into earthquake statistics.

Comparison with traditional models shows improved realism.

Abstract

Our understanding of earthquakes is based on the theory of plate tectonics. Earthquake dynamics is the study of the interactions of plates (solid disjoint parts of the lithosphere) which produce seismic activity. Over the last about fifty years many models have come up which try to simulate seismic activity by mimicking plate plate interactions. The validity of a given model is subject to the compliance of the synthetic seismic activity it produces to the well known empirical laws which describe the statistical features of observed seismic activity. Here we present a review of two such models of earthquake dynamics with main focus on a relatively new model namely The Two Fractal Overlap Model.