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arXiv 2011.14863physics.geo-phphysics.flu-dyn
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地球外核底部浆状F层的状态图

A regime diagram for the slurry F-layer at the base of Earth's outer core

Jenny Wong, Christopher J. Davies, Christopher A. Jones

摘要:

在地球外核底部的P波速度减慢的地震观测表明存在一个被称为F层的稳定分层区域。这就提出了一个重要的问题:驱动地球发电机的轻元素如何能够穿过稳定分层而不干扰它?我们认为F层是一种含有分散在液态铁合金中的固体颗粒的浆液,这些颗粒在重力作用下向内核方向移动。我们提出了一个制度图,显示了如何改变关键参数时,浆料F-层的动态变化:佩克莱数($Pe$),平流和化学扩散之间的比率;斯特凡数($St$),显热和潜热之间的比率;和路易斯数($Le$),热扩散和化学扩散之间的比率。我们得到了四个政权对应的稳定,部分稳定,不稳定和无浆料。没有浆料被发现时,在该层的底部的热流超过在顶部的热流,而稳定分层的浆料出现时,平流克服热扩散($Pe \gtrsim Le$),存在于一个广泛的参数有关的地球的核心。我们的研究结果估计,一个稳定分层的F-层给出了一个最大的内核边界(ICB)体波密度跳跃的$Δρ_\textrm{bod} \leq 534 \ \mathrm{kg} \mathrm{m}^{-3}$是兼容的低端的地震观测,其中$280 \leq Δρ_\textrm{bod} \leq 1,100 \ \mathrm{kg} \mathrm{m}^{-3}$在文献中报道。在高热导系数的情况下,该模型预测的内核年龄介于$0.6$和$1.2 \ \mathrm{Ga}$之间,这与其他内核演化模型一致。我们的研究结果表明,泥浆模型与高芯电导率预测的F-层和核心的地球物理特性是一致的独立的地震和地球动力学计算。

英文摘要:

Seismic observations of a slowdown in P wave velocity at the base of Earth's outer core suggest the presence of a stably-stratified region known as the F-layer. This raises an important question: how can light elements that drive the geodynamo pass through the stably-stratified layer without disturbing it? We consider the F-layer as a slurry containing solid particles dispersed within the liquid iron alloy that snow under gravity towards the inner core. We present a regime diagram showing how the dynamics of the slurry F-layer change upon varying the key parameters: Péclet number ($Pe$), the ratio between advection and chemical diffusion; Stefan number ($St$), the ratio between sensible and latent heat; and Lewis number ($Le$), the ratio between thermal and chemical diffusivity. We obtain four regimes corresponding to stable, partially stable, unstable and no slurries. No slurry is found when the heat flow at the base of the layer exceeds the heat flow at the top, while a stably-stratified slurry arises when advection overcomes thermal diffusion ($Pe \gtrsim Le$) that exists over a wide range of parameters relevant to the Earth's core. Our results estimate that a stably-stratified F-layer gives a maximum inner-core boundary (ICB) body wave density jump of $Δρ_\textrm{bod} \leq 534 \ \mathrm{kg} \mathrm{m}^{-3}$ which is compatible with the lower end of the seismic observations where $280 \leq Δρ_\textrm{bod} \leq 1,100 \ \mathrm{kg} \mathrm{m}^{-3}$ is reported in the literature. With high thermal conductivity the model predicts an inner core age between $0.6$ and $1.2 \ \mathrm{Ga}$, which is consistent with other core evolution models. Our results suggest that a slurry model with high core conductivity predicts geophysical properties of the F-layer and core that are consistent with independent seismic and geodynamic calculations.

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