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研究生: 吳恩綺
Wu, En-Chi
論文名稱: 機率式海嘯危害度分析方法與潮汐之影響
Incorporating Tidal Uncertainty into the Methodology of Probabilistic Tsunami Hazard Analysis
指導教授: 蕭士俊
Hsiao, Shih-Chun
學位類別: 碩士
Master
系所名稱: 工學院 - 水利及海洋工程學系
Department of Hydraulic & Ocean Engineering
論文出版年: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 90
中文關鍵詞: 海嘯危害度分析PTHA潮位偶然不確定性COMCOT
外文關鍵詞: Probabilistic tsunami hazard analysis, Tidal uncertainty, COMCOT
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  • 近年來環太平洋地震帶活躍,若是有淺海大規模的地震發生而引起海嘯,將造成近岸地區大規模溢淹、建築物損壞、人員傷亡以及核能電廠的輻射危機,有鑑於日本311的慘重災情,本研究發展海嘯災害的量化方法,以機率式海嘯危害度分析方法(Probabilistic Tsunami Hazard Analysis, PTHA)探討台灣發生海嘯之可能性,因馬(2015)已經建立PTHA之研究方法與計算流程於核三廠。本研究將進一步探討PTHA與潮汐的影響,比較不同的潮位機率理論以及建立研究之方法流程。
    機率計算中必然有不確定性的存在,Thio等人(2010)將不確定性區分為偶然不確定性(Aleatory Uncertainty)與認知不確定性(Epistemic Uncertainty),其中偶然不確定性為數值模式中存在的誤差,可透過研究工具的精進解決,本研究的數值工具COMCOT可選擇加入不同的靜態潮位做模擬計算,將潮位納入偶然不確定性分析。Mofjeld等人(2007)提出高斯方法,將最大海嘯波高與潮汐疊合之機率擬合為高斯分佈,簡單計算PTHA加入潮位不確定性之研究結果;而Adams等人(2015)的理論,則是使用時間週期方法與型態方法,將數值模擬的結果與一年的實測潮位紀錄結合計算超越機率。本研究比較此三種方法之優缺點與適用性,建立PTHA考量潮位不確定性之研究流程,並將理論結果應用於核三廠。其中型態方法考量模擬波高計之時序列計算海嘯與潮位的機率參數,雖然須配合多種靜態潮位模擬,計算過程也比較複雜,但有較適切與嚴謹的理論方法,因此本論文建議可使用型態方法分析PTHA潮位偶然不確定性。

    The Circum-Pacific Belt has become active in recent years, and the shallow earthquake in the border area of land and sea probably causes tsunami disaster. This includes overflow flooded, building damage, casualties and radiation crisis of nuclear power plant. In view of 2011 Tohoku-Oki tsunami, tsunami hazard analysis is applied in this study. To quantify the risk, probabilistic tsunami hazard analysis (PTHA) serves as a powerful methodology. Ma (2015) has already established the method of PTHA. Therefore, this study will further investigate the tidal effect of PTHA.
    Generally, uncertainties exist in various ways of probability analysis. PTHA distinguishes them into two kinds, namely aleatory and epistemic uncertainties. Aleatory uncertainty stems from the deviation of modeling and reality, and it could be solved by improvement of numerical simulation. To deal with the aleatory uncertainty, we incorporate tidal uncertainty into PTHA. Different static tidal stages are set in Cornell Multi-grid Coupled Tsunami model (COMCOT) to evaluate tsunami hazards. Using the Δt Method and the Pattern Method proposed by Adams et al. (2015), which combine tsunami events with a typical year of tidal record. Additionally, the Gaussian Method proposed by Mofjeld et al. (2007) could apply the theoretical probability distribution to such a research easily. These three methods are compared in this study and the Pattern Method is regarded as the most rigorous theory. Finally, the method of incorporating tidal uncertainty into PTHA has been established and been utilized to Maanshan nuclear power plant in Taiwan.

    摘要 II 致謝 XI 目錄 XII 表目錄 XV 圖目錄 XVI 符號表 XX 第一章 緒論 1 1-1 研究背景 1 1-1-1海嘯概述 3 1-1-2台灣核能電廠之海嘯危害評估 4 1-2 研究目的 5 1-3 研究方法 7 1-4 論文架構 7 第二章 文獻回顧 8 2-1 災害評估與量化 8 2-2 機率式海嘯分析危害度分析方法(PTHA) 9 2-2-1不確定性分析 10 2-3 PTHA與潮汐偶然不確定性之考量 13 第三章 研究工具與資料處理 18 3-1 數值模式介紹 18 3-1-1統御方程式 19 3-1-2有限差分法 21 3-1-3巢狀網格系統 22 3-1-4移動邊界 23 3-1-5海嘯波生成方式 24 3-1-6靜態潮位模式 26 3-2 潮位資料處理 27 3-2-1調和分析 30 3-2-2颱風暴潮偏差解析 36 第四章 研究方法 39 4-1高斯方法 39 4-2時間週期方法與型態方法之方法架構 42 4-2-1海嘯波高與潮位之關係曲線 (Z函數) 42 4-2-2潮位超越機率 ( Φ 函數) 44 4-2-3超越機率計算流程 50 4-3考量地震與潮位之總體超越機率 53 第五章 研究結果 55 5-1高斯方法 55 5-2建立海嘯波高與潮位之關係曲線 ( Z函數) 56 5-2-1選定海嘯情境 56 5-2-2 COMCOT模式參數設定 57 5-2-3建立Z函數 62 5-3建立潮位超越機率 ( Φ 函數) 66 5-3-1驗證時間週期方法與型態方法 66 5-3-2時間週期方法 67 5-3-3型態方法 67 5-4機率等高線地圖 69 第六章 結論與建議 76 參考文獻 78 附錄A 潮位模式與測試 82 附錄B PTHA與地震機率計算 85

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