本文主要是以有限差分法所建立之二維數值計算模式，模擬在海岸地區侷限(confined)或非侷限(phreatic)含水層中，在波浪影響作用下，海水入侵(saltwater intrusion)地下水的情形。本模式主要考慮到波浪給予的動態水壓力，並結合了飽和多孔隙介質之壓力波方程式、變密度流之達西方程式與濃質之傳輸方程式。模式中考慮許多影響海水入侵問題的重要因數，例如流場考量變密度流、波浪作用對此所產生的效應、波浪影響下所引發非受限含水層自由液面震盪對海水入侵過程的影響…等。

A two-dimensional finite difference model is developed for the simulation of saltwater intrusion in wave-induced aquifer system with either a confined or phreatic aquifer. The model considers many important factors, such as the dynamic pressure induced by wave motion, the pressure wave equation, the density-dependent Darcy’s Law, and the salt transport equation. This paper presents numerical study of the effect of wave motion, resulting salinity structure responses and phreatic surface fluctuation on the process of seawater intrusion … etc.

中文摘要 i
英文摘要 iii
目錄 iii
圖目錄 v
符號說明 vii
第一章 概論 1-1
1.1 研究背景與目的 1-1
1.2 文獻回顧 1-2
1.3 研究目的 1-5
1.4 本文內容 1-6
第二章 數學模式 1-1
2.1 基本假設 2-1
2.2 問題描述 2-1
2.3 控制方程式 2-2
2.4 邊界條件和初始條件 2-4
2.4.1 邊界條件(Boundary Condition) 2-4
2.4.2 波浪與潮汐的邊界條件 2-7
2.4.3 初始條件(Initial Condition) 2-8
2.5 座標轉換 2-8
2.6 無因次化控制方程式 2-8
第三章 數值計算模式 2-1
3.1 有限差分式 3-1
3.2 數值計算流程 3-6
3.3 穩定分析 3-8
第四章 結果與討論 3-1
4.1 模式驗證 4-1
● Henry’s Problem之驗證 4-1
4.2 潮汐效應之探討 4-3
4.2.1 侷限含水層 4-3
4.3 波浪效應之探討 4-5
4.3.1 侷限含水層 4-5
4.3.2 非侷限含水層 4-6
4.4 波浪效應之海岸傾斜斷面探討 4-8
第五章 結論與建議 4-1
5.1 結論 5-1
5.2 建議 5-2
參考文獻 r-1
r r-1

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