【作者】 郑增记；

【导师】 郭春喜；

【作者基本信息】 长安大学 ， 测绘工程（专业学位）， 2013， 硕士

【摘要】 自2009年3月17日GOCE卫星发射以来，卫星重力数据的精度和分辨率得到了极大提高，GOCE卫星的科学目标之一就是确定全球范围内cm级精度的大地水准面。随着GOCE卫星的成功发射，围绕GOCE数据处理和应用研究将成为今后几年地学研究的热点之一。本文利用GOCE卫星L2产品中的重力场模型数据与SRTM地形数据计算区域似大地水准面高，并对相关理论与方法进行了介绍。论文的主要内容概括如下：(1)介绍了精化大地水准面的基本概念与基本理论，并重点介绍了“移去-恢复”技术。(2)介绍并比较研究了基于GOCE卫星数据所建立的重力场模型。首先分析了他们的阶方差；其次利用研究区域内GPS/水准数据对所选模型计算得到的大地水准面高进行了比较；最后利用最小二乘原理对模型计算值进行了拟合改正。计算结果表明，利用GOCE卫星数据产品恢复地球重力场模型的三种方法中，直接法精度最高，时域法次之，空域法精度最差；GOCE模型的精度比EGM2008重力场模型的精度降低了约0.2m；GOCE重力场模型在平原的误差约19cm，在山区的误差约42cm。(3)介绍和分析了常用的超高阶缔合勒让德函数算法，计算结果表明跨阶次递推法的计算速度最快、数值精度最高。(4)计算分析了地形对大地水准面的间接影响，结果表明，地形起伏越大，对大地水准面的间接影响越大；大地水准面间接影响的计算公式中，主项具有明显的主导作用，次项所占比例不大，在平坦的地区，次项可忽略不计；另外，积分半径对间接影响的计算结果影响不大。(5)提出了顾及重力场模型与地形改正的“移去-恢复”法，通过实例计算结果表明，这种方法是行之有效的；另外，多项式拟合可以有效的减小重力大地水准面与几何大地水准面的系统误差。更多还原

【Abstract】 The accuracy and resolution of the satellite gravimetric data has dramatically developed,since GOCE satellite was launched on March17,2009, which one of the goals is to determinethe global geoid within the1cm level precision. With the successful launch of GOCE satellite,studies on data processing and applications of GOCE mission will become a hot issue ingeosciences for the next several years. In this paper, the quasi-geoid height is calculated byadopting the gravity field model data in GOCE L2product and SRTM topography data.What’s more, the corresponding theories and methods are introduced.The main content of the paper is summarized as follows:(1) The conventional concepts and theories of refining of geoid, especially remove-and-restore technique are introduced.(2)The earth gravity field models based on GOCE satellite data are introduced andcompared. Firstly, the analysis of their degree variances is presented. Secondly, the geoidheight computed by the selected gravity field models is compared with GPS/leveling data inthe research area. Finally, a Least Square Fitting (LSF) is used to correct and modify themodel values. The calculation results shows that, in the three approaches of recovery of earthgravity field model using GOCE products, the precision of direct approach (DIR) is thehighest, next is time-wise approach (TIM), the space-wise approach (SPW) is the worst; Theaccuracy of the GOCE models is about0.2m lower than EGM2008gravity field model; Theerror of GOCE gravity field model in plain and mountains is about19cm and42cmrespectively.(3)The algorithm of the ultra-high degree and order normalized associated Legendrefunctions (ALFS) is introduced and analyzed. Calculation results shows that the recursivemethod between every order and degree is excellent in efficiency and numerical accuracy.(4)The indirect effect of topography on geoid is calculated and analyzed. Calculationresults show that the greater topographic relief, the greater the indirect effect; the main item ofthe formula for calculating the indirect effect has the leading role, the rest is small and can beignored on the flat areas; besides, integral radius has little effect on the calculation results ofthe indirect effect. (5)The “remove-and-restore” method which take into account the gravity field modelwith topographic correction is discussed. And, by way of example, the calculation resultsshows that this method is effective; what’s more, polynomial fitting can effectively reducesystematic errors between gravity geoid and geometry geoid.更多还原