系統識別號 U0026-0409201822354100
論文名稱(中文) 考量重力影響下對於11種飽和土壤壓密過程之比較研究
論文名稱(英文) A Comparative Study on Consolidation in 11 Differently textured Saturated Soils with Gravity Effect
校院名稱 成功大學
系所名稱(中) 水利及海洋工程學系
系所名稱(英) Department of Hydraulics & Ocean Engineering
學年度 106
學期 2
出版年 107
研究生(中文) 程士豪
研究生(英文) Shih-Hao Cheng
學號 N86054063
學位類別 碩士
語文別 中文
論文頁數 53頁
口試委員 口試委員-陳主惠
中文關鍵字 孔彈性理論  重力  飽和土壤壓密 
英文關鍵字 Poroelasticity  Gravitational body forces  Consolidation 
中文摘要 地層下陷泛指地面向下沉陷的垂直地表變形,其發生常伴隨許多的災害,如地下水資源涵蓄能力降低、海水倒灌、土壤鹽化及防洪效益降低等,這些災害將會對流域水土資源造成相當大的損失,以往在從事土壤壓密的研究通常以Terzaghi (1925)及Biot (1941)的理論作為主要的依據,然而在土壤壓密理論的研究中重力所造成的影響往往是被忽略的,僅有部分的相關文獻指出當土壤受外力產生壓密沉陷時,土壤在較軟或厚度較厚的情況重力的影響較為顯著,因此若能將重力對土壤壓密的影響也考量進去,應更能符合土壤壓密實際的情況,進而使其物理機制更為完善。
本研究應用Lo et al. (2005)利用多相連體力學(continuum theory of mixtures)所推導出的孔隙介質中含有兩相非混合、可壓縮且具有黏滯性流體之孔彈性理論模式為基礎,並考慮質量密度及孔隙率的微小變化量,重新推導出三維具重力影響之土壤壓密沉陷理論;在考慮一維情況下,本研究利用顯式有限差分法進行求解,透由此數值模式可得到在一維垂直方向下考慮雙邊排水的飽和土壤受固定載重作用所產生的壓密沉陷情形,之後將其結果與前人所提出的壓密沉陷理論之解析解進行比較與驗證,並探討重力對於不同質地之土壤在壓密沉陷的影響。
英文摘要 In recent years, land subsidence has caused many disasters in the coastal and alluvial fan of Taiwan. For example, it has caused seawater intrusion, soil salinization, and reduced groundwater storage capacity. Relevant research on land subsidence is mainly divided into two types: field surveys and theoretical analyses. Soil consolidation plays an important role in theoretical analysis; however, in references to soil consolidation theory, the effect of gravity is often ignored.
In the current study, we apply the consolidation theory of poroelasticity developed by Lo et al. (2005) to illustrate the effect of gravity on one-dimensional consolidation of saturated soils, and use the finite difference scheme to develop a numerical solution for excess pore water pressure and consolidation settlement under constant loading.
The numerical results show that, when the effect of gravity is included, more total settlement will occur, and the dissipation of excess pore water pressure will be slower and asymmetrical. Also, as the depth of the soil increases, the effect of gravity on the excess pore water pressure will be more significant.
論文目次 摘要 I
目錄 IX
表目錄 XI
圖目錄 XII
符號說明 XIV
第一章 緒論 1
1-1研究動機 1
1-2文獻回顧 2
1-3研究目的及方法 5
1-4本文架構 6
第二章 理論模式 7
2-1平衡方程式 7
2-1-1 動量平衡方程式 7
2-1-2 質量平衡方程式 8
2-2線性應力-應變關係式 9
2-3控制方程式 10
2-3-1 模式方程式 10
2-3-2 一維飽和土壤壓密方程式 11
2-4初始與邊界條件 12
2-4-1 初始條件 12
2-4-2 邊界條件 13
第三章 數值模擬 15
3-1數值離散 17
3-2土壤分類 19
3-3模式相關參數 21
3-4模式驗證 23
第四章 結果與討論 26
4-1重力對於土壤在壓密沉陷的影響 26
4-2重力對於不同土壤在壓密沉陷的影響 27
4-2-1無因次參數 27
4-2-2土體沉陷量 29
4-2-3超額孔隙水壓及消散速率 30
4-2-4在不同土壤條件下重力對超額孔隙水壓的影響 31
第五章 結論與建議 44
5-1結論 44
5-2建議 45
參考文獻 46
附錄一 飽和土壤一維壓密在雙邊排水條件下之解析解 50
附錄二 彈性模數 52
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