Dynamics of Tectonic Plates
E. Pechersky, A. Pirogov, G. Sadowski, A. Yambartsev

TL;DR
This paper introduces a Markov process-based model for tectonic plate dynamics, deriving integro-differential equations at the macro level and identifying universal conditions for the Gutenberg-Richter law.
Contribution
It presents a novel micro-to-macro modeling framework for tectonic activity using stochastic processes and mean field equations, independent of resistant force specifics.
Findings
Derivation of integro-differential equations for tectonic dynamics
Universal conditions for Gutenberg-Richter law at macro level
Model captures stick-slip behavior of tectonic plates
Abstract
We suggest a model that describes a mutual dynamic of tectonic plates. The dynamic is a sort of stick-slip one which is modeled by a Markov random process. The process defines a microlevel of the dynamic. A macrolevel is obtained by a scaling limit which leads to a system of integro-differential equations which determines a kind of mean field systems. Conditions when Gutenberg-Richter empirical law are presented on the mean field level. These conditions are rather universal and do not depend on features of resistant forces.
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Taxonomy
Topicsearthquake and tectonic studies · Geological and Geochemical Analysis · High-pressure geophysics and materials
