Numerical solutions of rotational normal modes of a triaxial two-layered anelastic Earth

Numerical solutions of rotational normal modes of a triaxial two-layered anelastic Earth
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三轴两层滞弹性地球旋转简正模态的数值解

DOI:
10.1016/j.geog.2019.03.001
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发表时间:
2019-03
影响因子:
2.4
通讯作者:
Wenying Zhang
Wenying Zhang
中科院分区:
地球科学4区
文献类型:
--
作者:
Wenbin Shen;Zhuo Yang;Zhiliang Guo;Wenying Zhang

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地球的旋转简正模取决于所采用的地球模型,包括各层的结构、各层的主惯性矩以及各层的柔度。本研究的重点是提供一个三轴两层滞弹性地球模型的旋转正常模式的数值解没有外力,但考虑了复杂的形式的柔度和电磁耦合之间的核心和地幔。在现有的钱德勒摆动和自由核章动的基础上,给出了一组完整的柔度,可供进一步研究参考。有八种旋转简正模解,其中四种可能存在于自然界中。然而,实际上,这四个解中只有两个解对应于逆时针CW和逆时针FCN的当前运动状态。一方面,我们的数值计算结果表明,在频率依赖假设下,CW和FCN的周期和品质因子分别为434.90和429.86个平均太阳日(d)和76.56和23988.47;另一方面,我们分析了顺应性和电磁耦合参数对CW和FCN的周期和Q值的敏感性,并找到了对它们敏感的参数。
The Earth's rotational normal modes depend on Earth model used, including the layer structures, principal inertia moments of different layers and the compliances. This study focuses on providing numerical solution of the rotational normal modes of a triaxial two-layered anelastic Earth model without external forces but with considering the complex forms of compliances and the electromagnetic coupling between the core and mantle. Based on the present knowledge of the Chandler wobble (CW) and Free Core Nutation (FCN), we provide a set of complete compliances which could be used for reference in further investigations. There are eight rotational normal mode solutions, four of which might exist in nature. However, in reality only two of these four solutions correspond to the present motion status of the prograde CW and the retrograde FCN. On one hand, our numerical calculations show that the periods and quality factors (Qs) of CW and FCN are respectively 434.90 and 429.86 mean solar days (d) and 76.56 and 23988.47 under frequency-dependent assumption, and the triaxiality prolongs CW about 0.01 d and has hardly effect on FCN. On the other hand, we analyze the sensibility of compliances and electromagnetic coupling parameter on the periods and Qs of CW and FCN and find the sensitive parameters with respect to them.
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