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研究生: 洪慶忠
Hung, Ching-Jung
論文名稱: 以最小二乘配置法建立台灣地區水平速度場模型
Establishing a Horizontal Velocity Model of Taiwan Using GPS Observations and the Least-squares Collocation Technique
指導教授: 楊名
Yang, Ming
學位類別: 碩士
Master
系所名稱: 工學院 - 測量及空間資訊學系
Department of Geomatics
論文出版年: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 63
中文關鍵詞: 水平速度場模型最小二乘配置法全球衛星定位系統
外文關鍵詞: Horizontal velocity field model, Least-squares Collocation, Global Positioning System
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  • 台灣位於歐亞板塊與菲律賓海板塊的交界帶,兩板塊間活躍的聚合運動導致衛星基本控制點的年位移量可高達4-5公分。台灣現有的水平速度場模型是以斷層反演軟體DEFNODE建立,此軟體藉由塊體旋轉運動以及斷層滑移速率估計速度量。然而,該模型內採用的物理參數其假設與現實狀況不完全一致,將會影響模型的精度。因此,本研究使用最小二乘配置法搭配472個全球衛星定位系統測站水平速度場資料發展水平速度場模型,並探討了斷層滑移速率對於模型精度的影響。研究結果顯示,本研究建立的速度場模型精度較現有的模型精度提升了3%,說明了本研究發展之模型能夠更準確地提供衛星基本控制點的年位移量。但是,本研究發展的速度場模型對於斷層滑移速率大於20mm/year的地區有較差的推估精度,說明該地區為目前本模型估計水平速度量時的限制。

    Taiwan is located at the boundary between the Eurasian plate and Philippine Sea plate, where active plate motion leads to significant annual displacements of geodetic control points up to 4-5 cm. The existing horizontal velocity model is established by DEFNODE which contain the blocks rotation and the fault slip rate to estimate horizontal velocity in Taiwan. However, the assumptions of the physical parameters didn’t conform to reality situations in DEFNODE. Therefore, we used Global Positioning System (GPS) velocity observations collected at 472 points from 1993 to 2005 and the Least-squares Collocation (LSC) technique to create a horizontal velocity model, and discuss the influence of fault slip rate. The results show that the accuracy of velocity model improves 3% by comparing to the existing model. The results also indicate that the developed model is capable of providing more accurate estimates of annual displacements of geodetic control points than the existing model. However, this velocity model has inferior accuracy when points locate in fault slip rate greater than 20mm/year regions which is the restriction.

    中文摘要 I Abstract II 誌謝 III 目錄 V 表目錄 VIII 圖目錄 IX 第一章 緒論 1 1.1前言 1 1.2文獻回顧 3 1.3研究動機與目的 4 1.4研究方法 5 1.5論文架構 6 第二章 GPS定位原理與大地基準 8 2.1. GPS觀測量 8 2.2 GPS誤差來源 10 2.2.1 GPS衛星有關的誤差 10 2.2.2 訊號傳播有關的誤差 12 2.2.3 接收儀有關的誤差 13 2.3 GPS定位方法 14 2.3.1 絕對定位(單點定位) 14 2.3.2 相對定位 15 2.4 大地基準 16 2.4.1 國際地球參考框架ITRF 17 2.4.2 TWD97坐標系統 20 第三章 塊體劃分與塊體運動 22 3.1塊體劃分 22 3.2塊體運動 23 第四章 台灣地區水平速度場模型 26 4.1 DEFNODE估計速度量 26 4.2 以最小二乘配置法建立台灣地區速度場模型 28 4.2.1 最小二乘配置法數學模式 28 4.2.2 協變方函數 30 4.2.3 模型參數以及估計水平速度量 32 第五章 坐標變動速度估計與精度分析 36 5.1 研究資料與處理 36 5.2 水平速度場模型參數 41 5.2.1 歐拉參數 41 5.2.2協變方函數曲線擬合成果與分析 42 5.3精度檢核 45 5.3.1內部精度檢核 46 5.3.2外部精度檢核 50 第六章 結論與建議 56 參考文獻 58

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