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首页> 外文期刊>Surveys in Geophysics: An International Review Journal of Geophysics and Planetary Sciences >Iterative Spherical Downward Continuation Applied to Magnetic and Gravitational Data from Satellite
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Iterative Spherical Downward Continuation Applied to Magnetic and Gravitational Data from Satellite

机译：向下迭代迭代球面延拓应用于卫星的磁和引力数据

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摘要

In the last few decades, satellites have acquired various potential data sets hundreds of kilometers above the Earth's surface. Conventionally, these global magnetic and gravitational data sets are approximated by using spherical harmonics that allow straightforward work with both fields outside the Earth's mass. In this article, we present an alternative approach for working with potential data in mass-free space given over a regular coordinate grid on a spherical surface. The algorithm is based on an iterative scheme and the Poisson integral equation for the sphere. With help from the Fourier transform, global potential (magnetic or gravitational) data can efficiently be continued from a mean orbital sphere down to a reference surface without using the spherical harmonics. This is illustrated both with simulated magnetic field data and with real data from the satellite gradiometry mission GOCE. In the case of simulated magnetic data and the downward continuation for 450 km, we have achieved a root mean square at the level of 0.05 nT, while it was <1 E (eotvos) for real GOCE data continued for 250 km. The crucial point is to apply the algorithm twice as a large part of noise can be removed from the input data.
机译：在过去的几十年中，卫星已经获取了距地表数百公里的各种潜在数据集。按照惯例，这些全局磁和引力数据集是通过使用球谐函数来近似的，该球谐函数允许直接与地球质量范围之外的两个场一起工作。在本文中，我们提出了一种替代方法，用于处理球面上规则坐标网格上无质量空间中的潜在数据。该算法基于迭代方案和球的泊松积分方程。借助于傅立叶变换，可以有效地将平均势（磁或引力）数据从平均轨道球一直向下延伸到参考表面，而无需使用球谐函数。模拟磁场数据和卫星梯度测量任务GOCE的真实数据都对此进行了说明。在模拟磁数据和向下延伸450 km的情况下，我们获得了0.05 nT的均方根，而对于连续250 km的真实GOCE数据，其均方根<1 E（eotvos）。关键点是应用该算法两次，因为可以从输入数据中去除很大一部分噪声。

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