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Deformation with coupled chemical diffusion

机译:伴随化学扩散的变形

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摘要

The deformation of rocks is commonly intimately associated with metamorphic reactions. This paper is a step towards understanding the behaviour of fully coupled, deforming, chemically reacting systems by considering a simple example of the problem comprising a single layer system with elastic-power law viscous constitutive behaviour where the deformation is controlled by the diffusion of a single chemical component that is produced during a metamorphic reaction. Analysis of the problem using the principles of non-equilibrium thermodynamics allows the energy dissipated by the chemical reaction-diffusion processes to be coupled with the energy dissipated during deformation of the layers. This leads to strain-rate softening behaviour and the resultant development of localised deformation which in turn nucleates buckles in the layer. All such diffusion processes, in leading to Herring-Nabarro, Coble or "pressure solution" behaviour, are capable of producing mechanical weakening through the development of a "chemical viscosity", with the potential for instability in the deformation. For geologically realistic strain rates these chemical feed-back instabilities occur at the centimetre to micron scales, and so produce structures at these scales, as opposed to thermal feed-back instabilities that become important at the 100-1000 m scales.
机译:岩石的变形通常与变质反应密切相关。本文通过考虑一个简单的问题示例(包括具有弹性幂定律粘滞本构行为的单层系统,其中变形由单个扩散控制)来理解完全耦合,变形,化学反应系统的行为。在变态反应过程中产生的化学成分。使用非平衡热力学原理对问题进行分析,可以使化学反应扩散过程所耗散的能量与层变形过程中所耗散的能量耦合在一起。这导致应变率软化行为,并导致局部变形的发展,进而使层中的弯曲成核。所有这些导致Herring-Nabarro,Coble或“压力溶液”行为的扩散过程,都能够通过形成“化学粘度”而产生机械弱化作用,并可能导致变形不稳定。对于地质现实的应变率,这些化学反馈不稳定性发生在厘米至微米尺度,因此产生了这些尺度的结构,而热反馈不稳定性在100-1000 m尺度变得很重要。

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