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arXiv 2301.02476astro-ph.EP
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月球地幔底部是否存在半熔融层?

Is there a semi-molten layer at the base of the lunar mantle?

Michaela Walterová, Marie Běhounková, Michael Efroimsky

AI总结:

本文提出一种基于 Sundberg-Cooper 流变学和晶界滑移的简化月球模型,证明月球潮汐品质因子的频率依赖性无需深部部分熔融即可解释,并指出该模型与传统含熔体模型在现有月面测量中不可区分。

摘要:

以洛夫数 $k_2$ 和潮汐品质因子 $Q$ 为参数,并通过月球激光测距(LLR)推断,月球中的潮汐耗散表现出一种出乎意料的频率依赖性,这通常被解释为存在一个包围核幔边界的高耗散、含熔体的层的证据。在这一或多或少属于标准解释的框架内,该基底层的黏度被要求约为 $10^{15}$ 至 $10^{16}$ Pa s,并且其外半径被预测延伸至深月震带。虽然将这些预测与岩石的力学性质相协调可能具有挑战性,但据称,没有基底层的替代月球内部模型无法拟合潮汐 $Q$ 的频率依赖性。本文的目的是阐明在何种条件下,月球潮汐 $Q$ 的频率依赖性可以在不需要深部部分熔融的情况下得到解释。我们设计了一个简化的月球模型,其中地幔由 Sundberg-Cooper 流变学描述,并预测了地幔中弹性协调的晶界滑移的弛豫强度和特征时间尺度,这些参数将产生所需的频率依赖性。在发展这一替代模型的同时,我们还检验了带有底部部分熔融的传统模型;并且我们表明,现有的月面测量无法区分这两种模型。关于月球潮汐耗散本质的进一步认识,可以通过测量更高阶洛夫数和品质因子,或通过月球背面的月震学来获得。

英文摘要:

Parameterised by the Love number $k_2$ and the tidal quality factor $Q$, and inferred from lunar laser ranging (LLR), tidal dissipation in the Moon follows an unexpected frequency dependence often interpreted as evidence for a highly dissipative, melt-bearing layer encompassing the core-mantle boundary. Within this, more or less standard interpretation, the basal layer's viscosity is required to be of order $10^{15}$ to $10^{16}$ Pa s, and its outer radius is predicted to extend to the zone of deep moonquakes. While the reconciliation of those predictions with the mechanical properties of rocks might be challenging, alternative lunar interior models without the basal layer are said to be unable to fit the frequency dependence of tidal $Q$. The purpose of our paper is to illustrate under what conditions the frequency-dependence of lunar tidal $Q$ can be interpreted without the need for deep-seated partial melt. Devising a simplified lunar model, in which the mantle is described by the Sundberg-Cooper rheology, we predict the relaxation strength and characteristic timescale of elastically-accommodated grain boundary sliding in the mantle that would give rise to the desired frequency dependence. Along with developing this alternative model, we test the traditional model with a basal partial melt; and we show that the two models cannot be distinguished from each other by the available selenodetic measurements. Additional insight into the nature of lunar tidal dissipation can be gained either by measurements of higher-degree Love numbers and quality factors or by farside lunar seismology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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