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首页> 外文期刊>Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data >Regularized wavelet-based multiresolution recovery of the harmonic mass density distribution from data of the Earth's gravitational field at satellite height
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Regularized wavelet-based multiresolution recovery of the harmonic mass density distribution from data of the Earth's gravitational field at satellite height

机译：基于卫星高度的地球引力场数据的谐波质量密度分布的基于小波的正则化多分辨率恢复

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摘要

The inverse problem of recovering the Earth's density distribution from data of the first or second derivative of the gravitational potential at satellite orbit height is discussed for a ball-shaped Earth. This problem is exponentially ill-posed. In this paper, a multiscale regularization technique using scaling functions and wavelets constructed for the corresponding integro-differential equations is introduced and its numerical applications are discussed. In the numerical part, the second radial derivative of the gravitational potential at 200 km orbit height is calculated on a point grid out of the NASA/GSFC/NIMA Earth Geopotential Model (EGM96). Those simulated derived data out of SGG (satellite gravity gradiometry) satellite measurements are taken for convolutions with the introduced scaling functions yielding a multiresolution analysis of harmonic density variations in the Earth's crust. Moreover, the noise sensitivity of the regularization technique is analysed numerically.
机译：对于球形地球，讨论了从卫星轨道高度处的重力势的一阶或二阶导数的数据恢复地球密度分布的反问题。这个问题是指数不适的。本文介绍了一种使用缩放函数和小波为相应的积分微分方程构造的多尺度正则化技术，并讨论了其数值应用。在数字部分中，使用NASA / GSFC / NIMA地球地势模型（EGM96）上的点网格计算了200 km轨道高度处的重力势的二阶径向导数。从SGG（卫星重力梯度法）卫星测量中获得的那些模拟得出的数据，通过引入的缩放函数进行卷积，从而对地壳中的谐波密度变化进行了多分辨率分析。此外，对正则化技术的噪声敏感性进行了数值分析。

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