航空重力数据处理及其应用研究

发布时间：2018-03-28 03:20

本文选题：航空重力　切入点：向下延拓　出处：《解放军信息工程大学》2013年硕士论文

【摘要】：本文从数据应用的角度将航空重力测量数据的处理分为数据的预处理和后期应用处理，并重点研究了航空重力数据的后期应用处理，现将主要工作和创新点总结如下： 1、推导了航空重力测量的数学模型并明确了航空重力数据预处理的具体流程。 2、推导了逆泊松积分迭代法并给出了其相应的计算公式，本文通过联合地面实测数据的逆泊松积分向下延拓有效解决了边界效应问题。 3、详细推导了最小二乘配置的基本公式及其在重力数据处理中的实用公式；分析了重力异常的局部协方差模型的特点，并给出了几种常见的局部协方差模型，结合本文采用的协方差模型特点给出了有关参数的确定方法；结合重力异常实测数据进行了最小二乘配置方法的病态性分析。 4、系统总结了基于逐级余差思想的分层点质量模型的理论，推导了点质量模型的基本公式，分析了点质量模型构建时的影响因素，提出了通过建立“背景场”提高延拓精度的方法。 5、利用实测数据对比分析了逆泊松积分迭代法、最小二乘配置方法和点质量模型方法在航空重力数据向下延拓中应用。 6、基于最小二乘配置的基本原理给出了最小二乘配置总体融合与多分辨率最小二乘配置融合的具体解决思路，分析了多分辨率最小二乘配置融合的优势；结合虚拟点质量模型的基本原理，阐述了基于逐级余差思想的分层点质量模型在多源重力数据融合中的应用优势。 7、从重力数据的实际应用出发，提出了基于地面少量控制点的解析融合方法。 8、利用多分辨率最小二乘配置融合、基于逐级余差思想的分层点质量模型方法以及基于地面少量控制点的解析融合法对多源重力实测数据进行了有效融合。 9、分析了数据融合误差对确定大地水准面的影响。
[Abstract]:In this paper, the processing of airborne gravimetric data is divided into pre-processing and post-application from the point of view of data application, and the later application of airborne gravity data is mainly studied. The main work and innovation are summarized as follows:. 1. The mathematical model of airborne gravity measurement is derived and the flow chart of aeronautical gravity data preprocessing is clarified. 2. The inverse Poisson integral iteration method is derived and the corresponding calculation formula is given. The boundary effect problem is solved effectively by the downward continuation of the inverse Poisson integral combined with the measured data on the ground. 3. The basic formula of least square collocation and its practical formula in gravity data processing are derived in detail, the characteristics of local covariance model of gravity anomaly are analyzed, and several common local covariance models are given. According to the characteristics of covariance model adopted in this paper, the method of determining parameters is given, and the ill-condition of least square collocation method is analyzed based on the measured data of gravity anomaly. 4. The theory of layered point quality model based on successive residual difference is summarized systematically, the basic formula of point quality model is deduced, and the influencing factors of point quality model are analyzed. A method to improve the continuation accuracy by establishing "background field" is put forward. 5. The inverse Poisson integral iteration method, the least square collocation method and the point mass model method are applied to the downward continuation of airborne gravity data. 6. Based on the basic principle of least square collocation, the concrete solutions to the fusion of least square configuration and multi-resolution least squares configuration are given, and the advantages of multi-resolution least squares configuration fusion are analyzed. Combined with the basic principle of virtual point mass model, the advantage of layered point mass model based on successive residual difference in multi-source gravity data fusion is expounded. 7. Based on the practical application of gravity data, an analytical fusion method based on a small number of ground control points is proposed. 8. Multi-resolution least square collocation fusion, hierarchical point quality model method based on the idea of successive residual error and analytical fusion method based on a few control points on the ground are used to effectively fuse the multi-source gravity measured data. 9. The effect of data fusion error on geoid determination is analyzed.
【学位授予单位】：解放军信息工程大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P223.4

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