Comparative Study of the Spherical Downward Continuation
Comparative Study of the Spherical Downward Continuation
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DOI：
10.1007/s10712-014-9312-0
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发表时间：
2015-01
影响因子：
4.6
通讯作者：
J. Sebera;M. Pitoňák;E. Hamácková;P. Novák
中科院分区：
文献类型：
--
作者：
J. Sebera;M. Pitoňák;E. Hamácková;P. Novák
潜在数据（重力或磁力）的向下延续有助于通过将物理信号转换为其邻域来解释贡献源。本文应用基于泊松积分方程的三种连续方法（Landweber迭代、直接方法和带有Tikhonov正则化的逆矩阵方法）和四种积分方案来对从GOCE数据获得的异常势能的二阶垂直导数进行分析。在实验中，在中欧地区持续向下250公里，特别注意边缘效应。对于使用感兴趣区域之外的先验信息来减少边缘效应的积分方案，通过采用 Tikhonov 正则化的逆矩阵方法（RMS = 1.15 eotvos）实现了与 TIM-r4 的最佳一致性。相反，在没有先验信息的情况下，迭代方法的执行结果为 RMS = 1.17 eotvos。
Downward continuation of the potential data (gravity or magnetic) helps to interpret contributing sources by transforming the physical signal to their neighborhood. This paper applies three continuation approaches (Landweber’s iteration, the direct method and the inverse-matrix approach with Tikhonov’s regularization), based on the Poisson integral equation, and four integration schemes to the second vertical derivative of the anomalous potentialobtained from GOCE data. In the experiments,was downward continued for 250 km in the area of Central Europe with special attention to edge effects. For the integration schemes, which use prior information outside the region of interest to reduce edge effects, the best agreement with TIM-r4 was achieved by the inverse-matrix approach with Tikhonov’s regularization (RMS = 1.15 eotvos). On the contrary, without prior information the iterative approach performed with RMS = 1.17 eotvos.