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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Large strain formulations for host-inclusion systems and their applications to mineral elastic geobarometryтезисы доклада
- Авторы: Moulas Evangelos, Zingerman Konstantin, Vershinin Anatoly, Levin Vladimir, Podladchikov Yury
- Сборник: European Geosciences Union General Assembly 2021
- Тезисы
- Год издания: 2021
- Издательство: Copernicus GmbH on behalf of the European Geosciences Union
- Местоположение издательства: Germany
- DOI: 10.5194/egusphere-egu21-14498
- Аннотация: The recent improvement in spectroscopic methods has allowed the detailed characterization of minerals with very high spatial resolution. Such methods allow the accurate estimation of residual pressures in mineral inclusions from exhumed metamorphic rocks. The residual inclusion pressures can be used to recast the pressure conditions during metamorphic recrystallization (e.g. Moulas et al., 2020). The most common assumptions in the aforementioned models are that 1) the rheology of the host-inclusion system is elastic, 2) the pressure was the same in the host and the inclusion phase at the time of recrystallization and, 3) the host and the inclusion can be treated as elastically isotropic phases.In this work we focus on isotropic host-inclusion systems. Such solutions appear to be sufficient even for anisotropic minerals such as the Quartz-in-Garnet system (Bonazzi et al., 2019; Moulas et al., 2020; Thomas and Spear, 2018). In addition, numerous experimental studies show that mineral Equations-of-State (EoS) are non-linear and, therefore, mechanical solutions which consider linear-elastic host-inclusion systems may be inadequate. We present two analytical solutions for the host-inclusion problem which can be applied in systems under large strain. In the first approach we consider that the volumetric deformation of minerals is non-linear and the deviatoric stresses can be approximated by linear elasticity. This result is similar but not identical with a previously published solution (Guiraud and Powell, 2006). However, we demonstrate that Guiraud and Powell’s (2006) solution is a linearization of this formulation and its accuracy decreases with increasing pressure range. Finally, we discuss our results in the framework of a newly-derived, fully-non-linear elastic solution that considers the effects of large finite strain in Neo-Hookean materials (Levin et al., 2020). We conclude that, for common mineral barometry applications, the effects of geometrical non linearity are minor and the application is sufficient.
- Добавил в систему: Вершинин Анатолий Викторович