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A reappraisal of the principle of equivalent time based on physicochemical methods

2023/01/06 by Matheus Rufino, Rufino, Matheus, Arnaldo Luís Lixandrão Filho +3
Earth and Planetary Sciences · Engineering · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Geological and Geochemical Analysis #Geophysics (physics.geo-ph) #High-pressure geophysics and materials #Hydrocarbon exploration and reservoir analysis

paper · pdf · doi:10.48550/arxiv.2301.03401

openalex publication_date 2023/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main feature of the Fission-Track Thermochronology is its ability to infer the thermal histories of mineral samples in regions of interest for geological studies. The ingredients that make the thermal history inference possible are the annealing models, which capture the annealing kinetics of fission tracks for isothermal heating experiments, and the Principle of Equivalent Time (PET), which allows the application of the annealing models to variable temperatures. It turns out that the PET only applies to specific types of annealing models describing single activation energy annealing mechanisms (parallel models). However, the PET has been extensively applied to models related to multiple activation energy mechanisms (fanning models). This procedure is an approximation that has been overlooked due to the lack of a suitable alternative. To deal with this difficult, a formalism, based on physicochemical techniques, that allows to quantify the effects of annealing on the fission tracks for variable temperatures, is developed. It is independent of the annealing mechanism and, therefore, is applicable to any annealing model. In the cases in which the PET is valid, parallel models, the proposed method and the PET predict the same degrees of annealing. However, deviations appear when the methods are applied to the fanning models, with the PET underestimating annealing effects. The consequences for the inference of thermal histories are discussed.

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