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研究生: 蔡純純
Tsai, Chun-Chun
論文名稱: 孔彈性介質熱-水-力耦合行為之數值模擬
A Numerical Study of Coupled Thermal-Hydrological- Mechanical Behaviour in Poroelastic Rocks
指導教授: 王建力
Wang, Chein-Lee
學位類別: 碩士
Master
系所名稱: 工學院 - 資源工程學系
Department of Resources Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 98
中文關鍵詞: 熱-水-力耦合模式PDEase2D單向排水雙向排水
外文關鍵詞: two-way draining, one-way draining, PDEase2D, thermal-mechanical-hydrological coupling model
相關次數: 點閱:101下載:15
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  •   在採礦工程、水電工程、地下工程、邊坡工程、石油開採、地熱開採、地震控制及預測、核廢料深埋處理等領域,會在岩體中產生包括熱、水滲流、應力等多各相互作用過程的耦合作用現象。
    為了解深層岩體受溫度作用後,其溫度改變所產生之熱效應,對於深層岩體各種力學性質與水文性質之影響,本研究利用有限元素分析軟體PDEase2D建構出一維度熱-水-力耦合模式,針對三種不同溫度隨時間變化的型式進行物理機制分析。主要分析分為三個案例,第一個案例用以模擬熱源加載一段時間後,瞬間移開熱源的熱力行為。第二個案例用以模擬熱源隨時間,逐漸移開熱源的熱力行為。第三個案例用以模擬熱源經過一段時間後,隨時間緩慢移開熱源的熱力行為。本研究分別討論其不同排水情況之溫度場、位移場和滲流場三場之趨勢。
    分析結果顯示,岩體各點中越靠近熱源處其孔隙水壓和位移變化程度越劇烈;孔隙水壓消散速度與溫度分佈之型式有關;孔隙水壓和位移有相同的變化趨勢,在雙向排水中孔隙水壓和位移關係圖會有迴圈的現象。

      In the field of rock engineering, such as mining, underground excavation, slope engineering, oil and terrestrial heat exploration, earthquake engineering, and the disposal of nuclear waste fields, the significance of the coupling effects of thermal, hydrological, and mechanical behavior of geo-materials should be considered.
    This study attempts to use a one-dimensional coupling model to analyze the response of the rocks under the thermal-hydrological- mechanical interactions. Three temperature-time histories are employed to investigate the coupling mechanism of thermo-hydrology-mechanics. First, a rectangular temperature-time relationship is given to simulate the behavior of rock when the temperature is reduced immediately at boundary. Secondly, a triangular temperature-time curve is used to study the behavior of rock when the temperature decreases gradually at boundary. Finally, a curve with a descending branch after a constant temperature is used to simulate the gradually dropping temperature at boundary. The numerical solutions of temperature, displacement, and pore pressure are evaluated by the finite element analysis software, PDEase2D.
    Numerical results show the displacement and pore pressure change significantly near the boundary where the temperature changes. The dissipating rate of pore pressure also relates to the temperature-time history. The trend of pore pressure and displacement are similar. In the case of two-way draining, numerical results finds there is a trace of loop between the plot of pore pressure and displacement.

    摘要 I 英文摘要 II 誌謝 IV 目錄 V 表目錄 VIII 圖目錄 IX 符號表 XII 第一章 緒論 1 1-1 研究動機及目的 1 1-2 研究方法及流程 2 第二章 研究背景 5 2-1 熱-水-力耦合的研究發展概述 5 2-2耦合場分析的類型 7 2-2-1 順序耦合分析法 7 2-2-2 直接耦合分析法 9 2-3 熱-水-力耦合數學模型描述 10 第三章 基本理論 24 3-1 恆溫壓密行為 24 3-1-1 Terzaghi單向度壓密 24 3-1-2 Biot壓密理論 29 3-1-3 Biot二維度解析解 33 3-2 點熱源壓密 36 3-3 熱-水-力耦合控制方程之推導 38 3-3-1 液體流採用達西(Darcy)定律 39 3-3-2 應力應變關係和有效應力 41 3-3-3 熱量守恆方程式 44 3-3-4 平衡方程式 45 3-3-5流量守恆方程式 46 第四章 數值分析 51 4-1 有限元素分析程式PDEase2D 51 4-1-1 PDEase2D基本原理 52 4-1-2 PDEase2D 程式架構與特色 53 4-2案例研究 55 4-3 型式一溫度分佈 57 4-3-1 型式一單向排水情況 57 4-3-2 雙向排水 62 4-4 型式二溫度分佈 66 4-4-1 型式二單向排水情況 66 4-4-2 雙向排水情況 70 4-5 型式三溫度分佈 74 4-5-1單向排水情況 75 4-5-2 雙向排水情況 79 4-6 各種加溫型式之比較 83 4-6-1 單向排水 83 4-6-2 雙向排水 87 第五章 結論與建議 91 5-1結論 91 5-2建議 93 參考文獻 95

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