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研究生: 葉曜頡
Yeh, Yao-Jie
論文名稱: 應用中空扭剪試驗探討細粒料含量對於孔隙水壓激發曲線之影響
Experimental Study of Fines Content Effects on Pore Pressure Generation Curve by Hollow Cylinder Torsional Shear
指導教授: 張文忠
Chang, Wen-Jong
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2025
畢業學年度: 114
語文別: 中文
論文頁數: 132
中文關鍵詞: 中空扭剪反覆剪動試驗過渡細粒料含量孔隙水壓激發曲線
外文關鍵詞: hollow cylinder apparatus, cyclic torsional shear test, transitional fines content, pore pressure generation curve
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  • 本研究旨在利用K0中空扭剪試驗探討細粒料含量對飽和砂土孔隙水壓激發行為之影響,並建立可同時反映剪應變振幅、循環次數與細粒料含量之多維度模型。研究以渥太華砂為母材,並摻配取自麥寮砂之細粒料製備不同細粒料含量之試體(0%、7.5%、15%、35%、100%),於不排水、定剪應變反覆扭剪條件下量測超額孔隙水壓比(ru)累積之時程與循環演化。實驗結果顯示,當細粒料含量小於過渡細粒料含量時,砂顆粒形成主要骨架,孔隙水壓激發速度較快,且超額孔隙水壓比也較高;然而於細粒料含量大於過渡細粒料含量時,細粒料主導顆粒架構,孔隙水壓累積趨緩,所引致之超額孔隙水壓比較低,顯示細粒料所構成之骨架特性完全不同於砂土,可由此結果將試體分類為類砂土型(Sand-like)試體及類粉土型(Silt-like)試體。由遲滯迴圈觀察可知,儘管類砂土型試體及類粉土型試體在試驗結束時不一定有達到初始液化之條件(ru > 0.9),但在循環次數足夠之情形下,於試驗結束時其剪力模數均落於100 kPa至200 kPa之區間,顯示初始液化條件無法完全表達試體剪力強度之折減。本研究依據各細粒料含量之試體所得資料繪製孔隙水壓激發曲面,進而建立多變數擬合模型,以細粒料含量(FC)、剪應變振幅(γ)、循環次數(N)與孔隙水壓比(ru)為主要控制變數,其中FC透過線性修正後使計算過程更為簡單、直觀,有效提升模型之使用性。研究結果顯示,擬合模型可合理描述不同細粒料含量下之孔隙水壓激發趨勢,並提供具物理意義之工程化參數,可作為含細粒料砂土之液化潛勢評估依據。

    This study examines the influence of fines content on excess pore water pressure generation in saturated sands using a K₀-consolidated hollow cylinder torsional shear apparatus. Ottawa sand was used as the base material, with fines from Mai-Liao sand mixed to prepare specimens containing 7.5%, 15%, 35%, and 100% fines. Undrained cyclic torsional shear tests were conducted under constant shear strain amplitudes, and the excess pore water pressure ratio (ru) was continuously recorded. Results show that when fines content is lower than the transitional fines content, the soil behavior is governed by sand particle skeleton, resulting in rapid pore water pressure buildup and higher ru values. When fines content exceeds this threshold, a fines-dominated skeleton forms, leading to slower pore pressure accumulation and lower ru. These responses allow classification of the tested soils as sand-like or silt-like materials. Hysteresis loop analysis indicates that although initial liquefaction (ru > 0.9) is not always achieved, the shear modulus of both material types converges to approximately 100–200 kPa at large loading cycles, suggesting that liquefaction criteria based solely on ru may not adequately represent stiffness degradation. Based on the test results, pore water pressure generation surfaces were established and a multivariable regression model incorporating fines content, shear strain amplitude, number of cycles, and ru was developed. A linear correction to the fines content term improves model simplicity and applicability for liquefaction assessment of sands containing fines.

    摘要 i EXTENDED ABSTRACT ii 誌謝 xiv 目錄 xv 表目錄 xix 圖目錄 xxi 第一章 緒論 1 1.1研究背景與動機 1 1.2 研究方法與流程 1 1.3 論文架構 2 第二章 文獻回顧 3 2.1 土壤中空扭剪系統發展 3 2.1.1 Hight et al. (1983) HCA試驗架構 4 2.1.2 Tatsuoka et al. (1986) HCA試驗架構 5 2.2 HCA剪應力與剪應變計算 7 2.2.1 HCA剪應力計算 7 2.2.2 HCA剪應變計算 8 2.3 二元堆積架構(Binary packings) 9 2.3.1 二元堆積假設 9 2.3.2 Chang et al.(2008, 2016)二元堆積模型及TFC值計算 10 2.4 土壤液化 12 2.4.1 土壤液化種類及判定準則 13 2.4.2 土壤種類與粒徑分布對於土壤液化之影響 14 2.4.3 含細粒料之砂土之土壤液化行為分析 14 2.5 土壤孔隙水壓激發及液化潛勢之評估 16 2.5.1 Cyclic Stress Approach 16 2.5.2 Cyclic Strain Approach 19 第三章 試驗儀器 23 3.1 K0中空扭剪硬體架構 23 3.1.1 外部構件 24 3.1.1.1 剪力支架 24 3.1.1.2 頂蓋 25 3.1.1.3 底座 26 3.1.1.4 剪力盒 27 3.1.2 伺服馬達 28 3.1.3 電動缸及油壓缸 29 3.1.3.1 電動缸 30 3.1.3.2 油壓缸 30 3.1.4 雷射位移傳感器 32 3.2 壓力控制系統 34 3.3 中空扭剪控制系統 35 3.3.1 I/O介面卡及訊號放大器 35 3.3.2 伺服馬達系統 36 3.3.2.1 水平扭剪系統 39 3.3.2.2 垂直荷重系統 40 3.3.3 資料擷取與LabVIEW自動控制 41 第四章 試驗流程與系統驗證 44 4.1 試驗規劃 44 4.2 試驗材料之基本物理性質 44 4.2.1 渥太華砂(Ottawa sand)基本物理性質 44 4.2.2 麥寮砂之細粒料之基本物理性質 45 4.3 試驗流程 48 4.3.1 試體準備及架設 49 4.3.2 試體飽和 53 4.3.3 試體壓密 53 4.3.4 不排水定剪應變反覆剪動 54 4.3.5 資料處理—摩擦力修正 54 4.3.6 資料處理—孔隙水壓激發曲線 61 4.4 系統驗證試驗 64 第五章 試驗結果與分析 67 5.1 計算過渡細粒料含量(TFC) 67 5.2 類砂土型(Sand-like)之試體資料及結果分析 68 5.2.1 壓密後之相對密度(Dr) 68 5.2.2 類砂土型試體之孔隙水壓激發曲線 69 5.2.3 類砂土型試體之遲滯迴圈發展 73 5.3 類粉土型(Silt-like)之試體資料及結果分析 76 5.3.1 壓密後之相對密度(Dr)及細顆粒間孔隙比(ef) 76 5.3.2 類粉土型試體之孔隙水壓激發曲線 77 5.3.3 類粉土型試體之遲滯迴圈發展 81 5.4 試驗結果綜合討論 83 第六章 孔隙水壓激發之擬合模型 85 6.1 孔隙水壓激發曲線之限制 85 6.2 決定曲面擬合公式之模型及參數 86 6.2.1 剪應變振幅及循環次數對於超額孔隙水壓力比之關係 86 6.2.2 MATLAB擬合模型之介紹 88 6.2.3 曲面模型之確定與各細粒料含量之比較 89 6.3 決定多變數模型之擬合參數 91 6.3.1 細粒料含量對於超額孔隙水壓比之關係 92 6.3.2 多變數擬合模型之建立與結果探討 94 6.4 多變數模型之簡化 97 第七章 結論與建議 101 7.1 結論 101 7.2 建議 102 參考文獻 103

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