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  本文選題：大地水準面 + EGM2008　； 參考：《東華理工大學》2017年碩士論文

【摘要】：本文從位理論角度出發(fā),分析球冠諧理論逼近區(qū)域高精度、高分辨率大地水準面問題。首先介紹精化區(qū)域(似)大地水準面基本理論,并且歸納出幾種精化方法和擬合方法。隨后對重力場位理論計算大地水準面進行探討,基于EGM2008模型的基礎上,對精化區(qū)域似大地水準面做了應用分析。在位理論的基礎上,對球冠諧理論進行分析,以EGM2008模型計算的數(shù)據(jù)作為觀測值,利用球冠諧方法計算的4種不同區(qū)域大地水準面進行誤差逼近實驗,總結(jié)出球冠諧方法的適用性。最后基于球冠映射方法,對球冠諧模型進行改進,利用改進的方法逼近區(qū)域高精度、高分辨率大地水準面。文章的主要研究內(nèi)容如下幾點:(1)總結(jié)并歸納精化區(qū)域(似)大地水準面的基本理論和方法,總結(jié)出一些方法的流程圖,分析了幾種擬合方法。(2)基于重力場位模型計算大地水準面理論,利用EGM2008模型和下載的高分辨率網(wǎng)格數(shù)據(jù),計算出安徽省區(qū)域似大地水準面和大地水準面經(jīng)(緯)度方向高差起伏圖,分析了安徽省區(qū)域似大地水準面的結(jié)構,并推導出構建厘米級大地水準面需要達到的空間分辨率計算公式,計算得出構建厘米級區(qū)域大地水準面需要達到的最低分辨率為7′。(3)針對球冠諧方法計算區(qū)域大地水準面理論,論證球冠諧方法的優(yōu)勢,以EGM2008模型計算的區(qū)域大地水準面作為觀測值,做了4種區(qū)域的球冠諧模型逼近數(shù)值實驗,總結(jié)出球冠諧方法的適用性。(4)基于球冠映射思想,借用ASHA技術,改進球冠諧模型,采用整階次締合勒讓德函數(shù)代替非整階次進行計算,克服了球冠諧模型中階次的限制。利用EGM2008計算相對應的球冠階次的大地水準面作為觀測值,通過4個球冠半徑區(qū)間的3個球冠階次的逼近實驗,得出改進的球冠諧方法可以計算高精度和高分辨率的區(qū)域大地水準面。
[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.
【學位授予單位】：東華理工大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：P223.0

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本文編號：1897228