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研究生:吳欣潔
研究生(外文):Xin-Jie Wu
論文名稱:砂質斜坡上波浪變形之解析與實驗研究
論文名稱(外文):Numerical Analysis and Experiment on Wave Transformation of on the Sand Slope Bed
指導教授:蔡清標蔡清標引用關係
學位類別:碩士
校院名稱:國立中興大學
系所名稱:土木工程學系所
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:43
中文關鍵詞:砂質斜坡波浪變形
外文關鍵詞:Sand Slope BedWave Transformation
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本研究旨在以含孔隙介質參數之非定常緩坡程式,解析砂質底床上波浪變形之特性,並以砂質斜坡底床進行水工模型試驗來驗證數值解的正確性,往昔文獻在探討波浪作用於孔隙彈性海床介質的波浪變形時,多假設海床表面為等水深底床,較少對於斜坡海床進行研究,且多以剛性不透水底床為底床條件進行模擬。在本研究中,以砂質底床鋪設其坡度為1/30的水工模型試驗進行分析,在數值解部份探討剛性不透水底床與砂質底床下波浪變形之特性,以及改變底床坡度探討波浪衰減情況。

在數值模擬中發現,砂質底床與剛性不透水底床情況上之波浪減衰特性有明顯的差異,並在底床坡度越緩時,波浪減衰效果越好,然而,在實驗結果中,隨著周期的改變,利用數值模擬與實驗之結果結合後,發現在預測碎波波高的部份,大致上與實驗成果相當吻合,而當周期越大的時候,數值解析較無法準確預測碎波發生的時間,其中,底床孔隙介質之滲透率、剪力模數與相對水深,皆影響著波浪能量的衰減損失。
The literatures discuss the wave transformations which were based on the rigid impermeable bed or the uniform water depth. Actually, a lot of sea beds are porous sandy sloped-bed. So this study analyzed the wave transformation on the sandy bed by using numerical simulation and experiment. It was installed on sandy bed in one thirtieth slope in the experiment. The equation for unconstant mild slop involved porous parameter wave used in the numerical simulation, besides the bed be considered rigid impermeable or porous permeable and different slopes.

If the breaking points were put into the numerical simulation for the experiment, the agreement of the wave transformations showed good. In this paper, it was found that the wave energy loss was affected by the permeable rate of the porous bed, shear modulus and relative water depth. It was also found the wave diminished obviously in the milder slope.
摘要 i
英文摘要 ii
目錄 iii
表目錄 vi
圖目錄 vii
符號說明 ix
第一章 前言 1
1-1 研究動機 1
1-2 文獻回顧 1
1-3 研究目的與本文組織 2
第二章 控制方程式理論 4
2-1等水深情況之推導 4
2-1-1控制方程式 4
2-1-2邊界條件 5
2-1-3土壤通解部份 7
2-1-4等水深情況之速度勢解析 8
2-2斜坡底床情況 9
第三章 數值計算與討論 15
3-1數值方法 15
3-2碎波控制點之運用 16
3-3數值計算結果 17
3-3-1入射波浪條件 17
3-3-2底床坡度之影響 19
3-3-3土壤性質之影響 22
第四章 實驗分析與比較 24
4-1試驗佈置 24
4-1-1試驗水糟 24
4-1-2量測儀器介紹 24
4-1-3波浪量測系統之佈置 24
4-2實驗條件 25
4-2-1入射波場實驗條件 25
4-2-2孔隙底床砂質性質 26
4-3實驗方法與步驟 27
4-4實驗分析與結果 28
4-4-1波浪變化之衰減結果 28
4-4-2碎波條件之檢討 38
4-4-3碎波公式之探討 39
第五章 結論與建議 41
5-1結論 41
5-2建議 41
參考文獻 42
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2.Copeland, G. J. M. (1985) “Mile-Slope wave equation,” Coastal Engineering, Vol. 9, pp.125-149.
3.Cruz, E. C. and Isobe, M. and Watanabe, A. (1997)“Boussinesq equations for wave transformation on porous beds,”Coastal Engineering in Japan, Vol. 30, pp.125-156.
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5.Jeng, D. S. and Lin, Y. S. (1996) “Finite Element Modeling for Water Wave-Soil Interaction,” Soil Dynamics and Earthquake Engineering, 15(5), pp.283-300.
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7.Lee, J. F. and Lan, Y. J. (2002) “On wave propagating over poro-elastic seabed” Coastal Engineering in Japan, Vol. 29,pp.931-946.
8.Prevost, J. H., Eide, O. and Haderson, K. H. (1975) “Discussion of Wave Induced Pressure in Permeable Seabeds,” Journal of Waterways, Harbors and Coastal Engergy Division, ASCE, Vol. 101, No. 1, pp.464-465.
9.Putnam, J. A. and M. A. (1949) “Loss of Wave Energy due to Percolation in a Permeable Sea Bottom,” Transactions, American Geophysical Union, Vol. 30, No. 3, pp.349-356.
10.Raman-Nair, W. and G., C. W. (1991) “Wave-Induced Failure of Pro-Plastic Seabed Slopes,” Proceedings, Institution of Civi Engineeringl, UK, Vol. 91, pp.771-794.
11.Tsai, C. P. and Lee, T. L.(1995)“Standing wave induced pore pressures in a porous seabed” Coastal Engineering in Japan, Vol. 22, pp.505-517.
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