球冠谐方法精化区域大地水准面

发布时间：2018-05-16 14:28

本文选题：大地水准面 + EGM2008　；参考：《东华理工大学》2017年硕士论文

【摘要】：本文从位理论角度出发,分析球冠谐理论逼近区域高精度、高分辨率大地水准面问题。首先介绍精化区域(似)大地水准面基本理论,并且归纳出几种精化方法和拟合方法。随后对重力场位理论计算大地水准面进行探讨,基于EGM2008模型的基础上,对精化区域似大地水准面做了应用分析。在位理论的基础上,对球冠谐理论进行分析,以EGM2008模型计算的数据作为观测值,利用球冠谐方法计算的4种不同区域大地水准面进行误差逼近实验,总结出球冠谐方法的适用性。最后基于球冠映射方法,对球冠谐模型进行改进,利用改进的方法逼近区域高精度、高分辨率大地水准面。文章的主要研究内容如下几点:(1)总结并归纳精化区域(似)大地水准面的基本理论和方法,总结出一些方法的流程图,分析了几种拟合方法。(2)基于重力场位模型计算大地水准面理论,利用EGM2008模型和下载的高分辨率网格数据,计算出安徽省区域似大地水准面和大地水准面经(纬)度方向高差起伏图,分析了安徽省区域似大地水准面的结构,并推导出构建厘米级大地水准面需要达到的空间分辨率计算公式,计算得出构建厘米级区域大地水准面需要达到的最低分辨率为7′。(3)针对球冠谐方法计算区域大地水准面理论,论证球冠谐方法的优势,以EGM2008模型计算的区域大地水准面作为观测值,做了4种区域的球冠谐模型逼近数值实验,总结出球冠谐方法的适用性。(4)基于球冠映射思想,借用ASHA技术,改进球冠谐模型,采用整阶次缔合勒让德函数代替非整阶次进行计算,克服了球冠谐模型中阶次的限制。利用EGM2008计算相对应的球冠阶次的大地水准面作为观测值,通过4个球冠半径区间的3个球冠阶次的逼近实验,得出改进的球冠谐方法可以计算高精度和高分辨率的区域大地水准面。
[Abstract]:In this paper, from the point of view of potential theory, the problem of high precision and high resolution geoid approximation by spherical crown harmonic theory is analyzed. Firstly, the basic theory of refined geoid is introduced, and several refined methods and fitting methods are summarized. Then the geoid calculated by the potential theory of gravity field is discussed. Based on the EGM2008 model, the application of quasi geoid in refined area is analyzed. On the basis of the position theory, the spherical crown harmonic theory is analyzed. Taking the data calculated by EGM2008 model as the observed value, the error approximation experiments of four different regional geoid calculated by the spherical crown harmonic method are carried out. The applicability of the spherical crown harmonic method is summarized. Finally, based on the spherical crown mapping method, the spherical crown harmonic model is improved, and the improved method is used to approach the geoid with high precision and high resolution. The main research contents of this paper are as follows: 1) summarizing and summarizing the basic theories and methods of refined geoid, and summing up the flowchart of some methods. In this paper, several fitting methods are analyzed. Based on the geoid theory of gravity field potential model, the EGM2008 model and the downloaded high resolution grid data are used. The regional quasi geoid and geoid longitude (latitude) height fluctuation map in Anhui Province are calculated, and the structure of the quasi geoid in Anhui Province is analyzed. The calculation formula of spatial resolution for constructing centimeter geoid is deduced. The minimum resolution required for constructing a regional geoid of centimeter order is 7 ~ (3) based on the theory of spherical crown harmonic method, the advantages of spherical crown harmonic method are demonstrated. Taking the regional geoid calculated by the EGM2008 model as the observed value, the approximate numerical experiments of the spherical crown harmonic model in four regions are done, and the applicability of the spherical crown harmonic method is summarized. Based on the idea of spherical crown mapping, the spherical crown harmonic model is improved by using the ASHA technique. The integral order associating Legendre function is used instead of the non-integral order to calculate, which overcomes the limitation of order in the spherical crown harmonic model. By using the geoid of the corresponding spherical crown order calculated by EGM2008 as the observed value, the approximation experiment of three spherical crown orders in four radius regions of the ball crown is carried out. The improved spherical crown harmonic method can be used to calculate the regional geoid with high accuracy and high resolution.
【学位授予单位】：东华理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：P223.0

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