重力场径向基函数多尺度分析的直接解算方法

发布时间：2018-04-16 17:03

本文选题：多尺度分析 + 重力异常　；参考：《地球物理学进展》2017年04期

【摘要】：利用径向基函数的多尺度分析方法可以对地球重力场进行分解,提取出细节的地球物理信息.目前通常采用离散积分法进行解算,但信号分解并重构后,所得信号并不能与原始重力场信号完全符合,分解过程中出现了信号泄露.针对这一现象,本文在最小二乘算法和方差分量估计的基础上,提出了新的在各个尺度上直接解算基函数系数的算法(直接法),有效的减少了重力场分解过程中的信号泄露.以南海地区DTU13重力异常数据为例,分别运用离散积分法和直接法对重力异常进行多尺度分解,结果显示:直接法的5个尺度上的信号泄露误差相对离散积分法减小约39%~79%;直接法总的泄露误差为±1.12 m Gal,明显小于离散积分法的±4.04 m Gal,直接法具有更优的效果.
[Abstract]:The multi-scale analysis method of radial basis function can be used to decompose the earth gravity field and extract the detailed geophysical information.At present, the discrete integration method is usually used to solve the problem, but after the signal is decomposed and reconstructed, the signal can not be completely consistent with the original gravity field signal, and the signal leakage occurs during the decomposition process.Aiming at this phenomenon, based on the least square algorithm and variance component estimation, a new algorithm is proposed to calculate the coefficients of the basis function directly at each scale (direct method), which can effectively reduce the signal leakage in the decomposition process of gravity field.Taking the DTU13 gravity anomaly data in the South China Sea as an example, the discrete integration method and the direct method are used to decompose the gravity anomaly in multiple scales, respectively.The results show that the signal leakage error in the five scales of direct method is about 390.79 and the total leakage error of direct method is 卤1.12m Galal, which is obviously less than 卤4.04m Galal of discrete integral method, and the direct method has better effect.
【作者单位】：中国科学院测量与地球物理研究所大地测量与地球动力学国家重点实验室;中国科学院大学;
【基金】：国家重点基础研究发展计划(973计划)(2013CB733301) 国家自然科学基金(41274025,41674085)联合资助
【分类号】：P223;P312

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