本文選題：航空重力　切入點：向下延拓　出處：《解放軍信息工程大學(xué)》2013年碩士論文

【摘要】：本文從數(shù)據(jù)應(yīng)用的角度將航空重力測量數(shù)據(jù)的處理分為數(shù)據(jù)的預(yù)處理和后期應(yīng)用處理，并重點研究了航空重力數(shù)據(jù)的后期應(yīng)用處理，現(xiàn)將主要工作和創(chuàng)新點總結(jié)如下： 1、推導(dǎo)了航空重力測量的數(shù)學(xué)模型并明確了航空重力數(shù)據(jù)預(yù)處理的具體流程。 2、推導(dǎo)了逆泊松積分迭代法并給出了其相應(yīng)的計算公式，本文通過聯(lián)合地面實測數(shù)據(jù)的逆泊松積分向下延拓有效解決了邊界效應(yīng)問題。 3、詳細推導(dǎo)了最小二乘配置的基本公式及其在重力數(shù)據(jù)處理中的實用公式；分析了重力異常的局部協(xié)方差模型的特點，并給出了幾種常見的局部協(xié)方差模型，結(jié)合本文采用的協(xié)方差模型特點給出了有關(guān)參數(shù)的確定方法；結(jié)合重力異常實測數(shù)據(jù)進行了最小二乘配置方法的病態(tài)性分析。 4、系統(tǒng)總結(jié)了基于逐級余差思想的分層點質(zhì)量模型的理論，推導(dǎo)了點質(zhì)量模型的基本公式，分析了點質(zhì)量模型構(gòu)建時的影響因素，提出了通過建立“背景場”提高延拓精度的方法。 5、利用實測數(shù)據(jù)對比分析了逆泊松積分迭代法、最小二乘配置方法和點質(zhì)量模型方法在航空重力數(shù)據(jù)向下延拓中應(yīng)用。 6、基于最小二乘配置的基本原理給出了最小二乘配置總體融合與多分辨率最小二乘配置融合的具體解決思路，分析了多分辨率最小二乘配置融合的優(yōu)勢；結(jié)合虛擬點質(zhì)量模型的基本原理，闡述了基于逐級余差思想的分層點質(zhì)量模型在多源重力數(shù)據(jù)融合中的應(yīng)用優(yōu)勢。 7、從重力數(shù)據(jù)的實際應(yīng)用出發(fā)，提出了基于地面少量控制點的解析融合方法。 8、利用多分辨率最小二乘配置融合、基于逐級余差思想的分層點質(zhì)量模型方法以及基于地面少量控制點的解析融合法對多源重力實測數(shù)據(jù)進行了有效融合。 9、分析了數(shù)據(jù)融合誤差對確定大地水準面的影響。
[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.
【學(xué)位授予單位】：解放軍信息工程大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：P223.4

【參考文獻】

相關(guān)碩士學(xué)位論文 前2條

1 趙東明;彈道導(dǎo)彈擾動引力快速逼近的算法研究[D];解放軍信息工程大學(xué);2001年

2 朱非洲;航空重力測量數(shù)據(jù)向下延拓技術(shù)[D];中國人民解放軍信息工程大學(xué);2002年

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本文編號：1674537