本研究考慮Lee(1987)研究中之拋石型防波堤模型，在受到波浪作用下對波場之影響。模型具有透水性及且可分為多層孔隙之特性。孔隙介質外假設流體為不可壓縮及無黏性，堤內孔隙介質考慮為均質但具非等向性。假設入射波為滿足線性條件之微小振幅前進波列，可應用勢流理論描述其流場。
在考慮線性的問題下，將各邊界條件線性化，以變數分離法求解邊界值問題，根據孔隙流場之延散方程式，嘗試以牛頓法等數值方法計算定出複數特徵值範圍及可能位置，在得到級數之收歛解後求取流速勢解。以水工試驗方法，考慮在波浪接近線性波理論條件時，設計波浪條件尖銳度小於0.035，當波浪通過此拋石型防波堤時，由不同粒徑之玻璃珠及模型是否沒於水面下等情況，波浪通過透水堤時所產生反射、透過及能量損失等特性。
目前計算出反射率可收斂，但是在大部分波浪條件時計算出與物理現象不合之情況，推測需檢討計算孔隙區特徵值及係數矩陣之疊代過程。根據拋石型防波堤之試驗結果，在長週期時，雙層孔隙模型消減較多之波浪能量；短週期時，則是粒徑較小之單層孔隙模型之消波效果較好。孔隙內阻力特性隨波浪週期不同亦有差別。在透水結構相對水深為不同型式時有明顯不同的影響。作為堤頂高於海平面之型式時，隨著波浪週期愈短，消耗之波能愈多。作為潛堤型式，在波浪週期大時效減較多波能，不同週期大小之波浪能量損失差異較小。

Wave interaction with a rubble-mound breakwater has been studied experimentally in the thesis.
The breakwater may contain multi-layer anisotropic but homogeneous media. Fluid outside the
porous layer field is assumed to incompressible and viscous,and the flow field is irrational. The study
applies the velocity potential to describe the wave field with small amplitude incident wave.
Under the consideration of linearity, Analytical solution is solved from boundary value
program by the method of separation of variables. It bases on dispersion equation. Try to find the
range and position of the complex eigenvalues in each porous column and to solve the velocity
potential in the field by numerical methods. Wave reflection, transmission, and energy dissipation
with a rubble-mound breakwater have been investigated experimentally, and consider the wave close
linear wave theory, the wave steepness smaller than 0.035. Three different sizes of grain are used to
construct the porous base, they are 16mm, 25mm, and 35mm, respectively. Single and double layers
of porous base are considered.
Some of the reflection coefficient are convergence, but they are the unreasonable results.
Maybe the trouble is in the process of the computation with determination of .eigenvalues. When the
wave has long period, the double-layer porous model reduces more wave energy, when the wave has
short period, the single-layer porous and the smaller porous material model can disappears more wave
energy. The characteristic of internal resistance in the porous has the difference along with the wave
period. When the model crest is higher than the sea level, the consumption of wave energy are more
when it is shorter along with the wave period. As a submerged breakwater, the effect for disappears
wave energy to be limited.

中文摘要 I
ABSRACT II
符號說明 III
圖表目錄 VII
第一章 序論 1
1-1前言 1
1-2文獻回顧 2
1-3研究目的與方法 3
1-4本文架構 4
第二章 基本理論推導 5
2-1問題描述與基本假設 5
2-2運動方程式 5
2-3邊界值問題 8
第三章 邊界值問題解析 15
3-1分離變數法 15
3-2求解Z方向未知係數及延散方程式 15
3-2-1純流體區 16
3-2-2孔隙介質區 18
3-3求解X方向未知係數 22
3-4計算過程 29
3-4-1介質特性 29
3-4-2計算過程 30
第四章水工模型試驗 32
4-1試驗設備與佈置 32
4-1-1定床模型實驗 32
4-1-2試驗設備 32
4-1-3試驗佈置 33
4-2試驗步條件與步驟 34
4-2-1試驗條件 34
4-2-2試驗步驟 34
4-3試驗分析 35
4-3-1波浪之反射率計算 36
4-3-2波浪之透射率計算 36
4-3-3入射波之剩餘能量 37
第五章試驗結果與討論 47
5-1拋石型防波堤不同孔隙介質粒徑對消波效果之差異 48
5-1-1 水深40公分之比較 48
5-1-2 水深77公分之比較 51
5-2拋石型防波堤不同水深型式對消波效果之差異 58
第六章結論與建議 69
參考文獻 71
附錄一 相鄰兩層間特徵值之關係 73
附錄二 反射率理論解析 74
附錄三 試驗波長與堤長比 75
附錄四 76

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