局部重力异常向上延拓的实用算法

发布时间：2018-01-29 17:58

本文关键词： 重力异常向上延拓 EIGEN-C模型均方根误差　出处：《测绘科学》2017年04期 　论文类型：期刊论文

【摘要】：针对局部重力异常向上延拓计算复杂、耗时长的问题,该文基于泊松积分离散化的基本原理,提出一种快速的局部格网重力异常向上延拓的实用算法;并结合中国东北和青藏高原地区大地水准面的重力异常格网数据,采用该延拓方法分别计算了空中10、50、100km处的重力异常,将其与等高度的EIGEN-6C4模型结果对比分析。实验结果表明:在顾及边界效应影响的情况下,相对于EIGEN-6C4模型,中国东北和青藏高原地区重力异常向上延拓的最大均方根误差分别优于1.5和3.5mGal;在保证精度可用的前提下,计算效率可以有大幅度提高,证明了该方法解算局部重力异常向上延拓的适用性。
[Abstract]:In order to solve the problem that the upward continuation of local gravity anomalies is complicated and time-consuming, this paper presents a fast and practical algorithm for upward continuation of local grid gravity anomalies based on the basic principle of discretization of Poisson integral. Combined with the gravity anomaly grid data of the geoid in Northeast China and the Qinghai-Tibet Plateau, the gravity anomaly at 1050 ~ 100km in the air is calculated by using the continuation method. The results are compared with the results of EIGEN-6C4 model with equal height. The experimental results show that the model is relative to the EIGEN-6C4 model when the boundary effect is taken into account. The maximum root-mean-square error of upward continuation of gravity anomalies in Northeast China and Qinghai-Tibet Plateau is better than 1.5 and 3.5 MGalrespectively. On the premise of ensuring the accuracy, the calculation efficiency can be greatly improved, which proves the applicability of this method in solving the upward continuation of local gravity anomalies.
【作者单位】：武汉大学测绘学院;湖北水利水电职业技术学院;
【基金】：国家自然科学基金项目(41474018,41274032)
【分类号】：P223
【正文快照】： 0引言重力异常的向上延拓在地面重力数据处理中具有潜在的应用价值。向上延拓可抑制浅层信息干扰,突出深部区域异常,在区域重力异常划分中占有重要的位置[1]。重力异常向上延拓的基本方法是在全球范围内,利用泊松积分推算相应高度处的重力异常[2],理论上具有严密的数学模型,在

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