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題 名 | 估算有限厚度水工結構體內氯離子濃度分佈的數學模型與解析解=Mathematical Model and Its Solution for Estimating the Chloride Concentration in Hydraulic Structure with Finite Thickness |
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作 者 | 鍾文貴; 王弘祐; 林金柄; | 書刊名 | 農業工程學報 |
卷 期 | 57:1 2011.03[民100.03] |
頁 次 | 頁46-57 |
分類號 | 443.9 |
關鍵詞 | 氯離子; 解析解; 水工結構; Chloride; Analytical solution; Hydraulic structure; |
語 文 | 中文(Chinese) |
中文摘要 | 水工結構體內氯離子含量是導致鋼筋銹蝕與結構體耐久性劣化的關鍵因素。本 文應用拉普拉斯變換,推導得具Dirichlet 條件的一維有限厚度水工混凝土結構體, 氯離子傳輸數學模式之基本解,再運用積分技巧求得適用於估算氯離子濃度分佈的 幾種邊界條件之解析解,並驗證了解析解的正確性。數值計算結果顯示,解析解中 的混凝土表面氯離子濃度比值(CL /C0)、擴散係數與孔隙水滲透速度等對混凝土厚度 內各位置點氯離子濃度的影響呈現正比變化,而降解反應係數的影響則呈現反比變 化。本文推導得到的解析解,可應用於估算有限厚度水工結構體內氯離子的濃度分 佈,亦可用於驗證電腦模擬混凝土內氯離子複雜傳輸模式數值解的合理性,具有實用價值。 |
英文摘要 | The negative influence of chloride on concrete durability has been proved by many researchers. With the aid of Laplace transform, the fundamental solution for the chloride ion transport problems with Dirichlet boundary conditions in a saturated, homogeneous hydraulic structure with finite thickness is derived in this paper. The analytical solutions with given boundaries for estimating the distribution of chloride concentration in hydraulic structure are presented. The validity of each solution is analyzed and discussed. Numerical computation shown that diffusion coefficient, reaction coefficient and seepage velocity are three dominant factors for the derived solutions. The concentration of chloride is increasing while the value of the ratio of surface chloride content (CL/C0), diffusion coefficient or seepage velocity is increasing, but the reaction coefficient is in opposition. The presented solutions are helpful for estimating the chloride concentration in hydraulic structure with finite thickness and can be used for verifying numerical simulations of chloride transport in complex concrete systems. |
本系統中英文摘要資訊取自各篇刊載內容。