航空重力向下延拓的误差影响分析

发布时间：2018-03-19 02:31

本文选题：向下延拓　切入点：逆泊松积分　出处：《测绘学报》2017年06期 　论文类型：期刊论文

【摘要】：本文从分析航空重力向下延拓过程中偶然误差和系统误差的变化特性入手,进而提出处理办法。首先,利用试验说明移去恢复法局限性,同时表明需处理系统误差和偶然误差的必要性。然后,采用理论推演和数值模拟计算分别估计了系统误差和偶然误差影响,试验结果发现:系统误差影响和偶然误差影响均与数据格网间隔、向下延拓高度呈线性关系,当格网化间隔较小和延拓高度较高时系统误差影响和偶然误差影响较大。最后,提出使用半参数模型和正则化算法的两步法估计系统误差和减弱偶然误差影响,试验结果说明两步法处理向下延拓各类误差影响优于仅用半参数模型或正则化算法的结果,在试验数据的偶然误差标准差为2×10~(-5) m/s~2、恒值系统误差3×10~(-5) m/s~2和变值系统误差标准差约1.3×10~(-5) m/s~2时,以及向下延拓高度6.3 km和格网间隔6′的条件下,两步法向下延拓结果的精度可达2.3×10~(-5) m/s~2。
[Abstract]:In this paper, the variation characteristics of accidental error and systematic error in the downward continuation of airborne gravity are analyzed, and the treatment methods are put forward. Firstly, the limitation of removal recovery method is illustrated by experiments. At the same time, the necessity of dealing with system error and accidental error is shown. Then, the influence of system error and accidental error is estimated by theoretical deduction and numerical simulation, respectively. The experimental results show that the influence of system error and accidental error is linearly related to the interval of data grid and the downward extension height. When the grid spacing is small and the extension height is high, the influence of system error and accidental error is greater. Finally, A two-step method using semi-parametric model and regularization algorithm is proposed to estimate the system error and to reduce the influence of accidental error. The experimental results show that the two-step method is better than the semi-parametric model or regularization algorithm in dealing with the downward continuation error. Under the conditions that the standard deviation of accidental error of test data is 2 脳 10 ~ (-5) m / s ~ 2, the system error of constant value is 3 脳 10 ~ (-5)) m / s ~ (2) and the standard deviation of system error of variable value is about 1.3 脳 10 ~ (-5) m / s ~ 2:00, and the downward continuation height is 6.3 km and the grid spacing is 6', the accuracy of the downward continuation result by the two-step method can reach 2.3 脳 10 ~ (-5) m / s ~ (2).
【作者单位】：武汉大学测绘学院;地球空间环境与大地测量教育部重点实验室;
【基金】：国家973计划(2013CB733302) 国家986计划(2013AA122502) 国家自然科学基金面上项目(41374022) 中央高校基本科研业务费专项基金(2015214020202)~~
【分类号】：P223.4

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