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首页> 外文期刊>South African Journal of Geology: Being the Transaction of the Geological Society of South African: Syndie die Verhandelinge van die Geologiese Vereniging van Suid-Afrika >Multi-fractal analysis of the earth oblateness and Length-Of-Day fluctuations
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Multi-fractal analysis of the earth oblateness and Length-Of-Day fluctuations

机译：地球尺度的多分形分析和日期波动

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摘要

Geodynamic processes acting on the Earth’s system continuously modify the redistribution of the Earth’s mass. As a result, various inherent global physical parameters, including the gravitational field of the Earth and its variability, as well as the Earth’s rotation rate and variations often observed in Length-Of-Day (LOD), are affected. The Earth’s gravity field is described by a set of spherical harmonic functions derived from a combination of various satellite data as well as terrestrial observations. These functions act as proxy parameters that contribute towards our understanding of the dynamics of the Earth’s system. One of the most important spherical harmonic coefficients of the gravity field of the Earth is the even zonal harmonic coefficient J_2. This coefficient is used to describe the Earth’s flattening due to mass distribution between the Earth’s Equator and the polar regions, and is therefore a measure of the Earth oblateness. The J_2 coefficient exhibits spatialtemporal variations which are often correlated with LOD variations. The aim of this contribution is to use the fractal nature of J_2 and LOD to demonstrate that their variability is not characterized by well-defined scales (of time) that play dominant roles, but rather involve all scales equally. Characterizing the variability of J_2 and LOD using the fractal paradigm will enhance our understanding of the complex geophysical processes of the Earth system.
机译：作用在地球系统上的地磁过程不断修改地球质量的再分配。结果，包括地球的重力场及其可变性以及通常观察到的各种固有的全局物理参数，以及在日期长度（LOD）中经常观察到地球的旋转速率和变化。地球的重力场由来自各种卫星数据的组合以及地面观测结果导出的一组球形谐波函数。这些功能充当代理参数，有助于了解地球系统动态的理解。地球的重力场的最重要的球形谐波系数之一是偶数谐波系数J_2。这种系数用于描述由于地球赤道和极地区域之间的质量分布而导致的地球的平坦化，因此是地球否定的量度。 J_2系数呈现出常型变型，其通常与LOD变化相关。这一贡献的目的是使用J_2和LOD的分形性，以证明它们的可变性不是在扮演主导角色的明确尺度（时间）的可变性，而是涉及所有尺度。使用分形范例的J_2和LOD的可变性将增强我们对地球系统复杂地球物理过程的理解。

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