On Mathematical Aspects of a Combined Inversion of Gravity and Normal Mode Variations by a Spline Method
On Mathematical Aspects of a Combined Inversion of Gravity and Normal Mode Variations by a Spline Method
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关于用样条法联合反演重力和简正模态变化的数学方面
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
V. Michel
中科院分区：
文献类型：
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作者：
P. Berkel;V. Michel
本文简要介绍了与地球内部测定有关的两个线性反演问题：反重力法和正态层析成像。此外，本文还提出了一种向量样条法来组合求解这两个问题。该方法使用基于再现核的局部基函数，并与分别成功应用于反重力问题和地震走时层析成像的方法相关。
This paper provides a brief overview of two linear inverse problems concerned with the determination of the Earth’s interior: inverse gravimetry and normal mode tomography. Moreover, a vector spline method is proposed for a combined solution of both problems. This method uses localised basis functions, which are based on reproducing kernels, and is related to approaches which have been successfully applied to the inverse gravimetric problem and the seismic traveltime tomography separately.