# Statistical Failure Mechanism Analysis of Earthquakes Revealing Time   Relationships

**Authors:** Parsa Rastin, Michael LuValle

arXiv: 1902.04732 · 2019-02-14

## TL;DR

This paper demonstrates that separating earthquakes based on their statistical tensor structure reveals temporal associations, suggesting potential insights into earthquake mechanisms and forecasting possibilities.

## Contribution

It introduces a novel statistical separation method for earthquakes based on tensor moments, uncovering temporal relationships not previously observed.

## Key findings

- Positive temporal association among similar earthquake types
- Negative association between different earthquake types
- Potential for mechanistic insights and improved forecasting

## Abstract

If we assume that earthquakes are chaotic, and influenced locally then chaos theory suggests that there should be a temporal association between earthquakes in a local region that should be revealed with statistical examination. To date no strong relationship has been shown (refs not prediction). However, earthquakes are basically failures of structured material systems, and when multiple failure mechanisms are present, prediction of failure is strongly inhibited without first separating the mechanisms. Here we show that by separating earthquakes statistically, based on their central tensor moment structure, along lines first suggested by a separation into mechanisms according to depth of the earthquake, a strong indication of temporal association appears. We show this in earthquakes above 200 Km along the pacific ring of fire, with a positive association in time between earthquakes of the same statistical type and a negative association in time between earthquakes of different types. Whether this can reveal either useful mechanistic information to seismologists, or can result in useful forecasts remains to be seen.

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Source: https://tomesphere.com/paper/1902.04732