污染源在饱和土壤中运移之解析模式.doc

污染源在飽和土壤中運移之解析模式 Analytical Model of Solute Transport in Saturated Soil with Released Sources 研究生：陳侑佐 You-Tzuo Chen 指導教授：鍾文貴 Wen-Guey Chung 【摘要】 本文應用積分變換(包括拉普拉斯轉換、傅立葉轉換、傅立葉正弦轉換與傅立葉餘弦轉換等)推導得具Dirichlet與Neumann條件的一維、二維與三維污染傳輸數學模式之基本解。考慮點源瞬間排放、點源、線源與面源連續排放、點源定時段連續排放，以及點源定時段指數型排放等污染源排放模式，將給定初始值、邊界值與源函數代入基本解，運用積分技巧推求得相對應之一維、二維與三維解析解，並驗證解的正確性。這些污染源排放模式的解析解，可應用於分析溶質在均質飽和土壤中運移的濃度分佈情形，具有實用價值，亦可作為驗證電腦模擬複雜污染傳輸模式數值解的合理性。推導得一維、二維與三維的污染傳輸模式分別以應用例計算分析與討論。一維污染傳輸解析模式計算結果，顯示溶質濃度分佈隨著時間的增長而逐漸往深層擴展且受滲流速度的影響最大。二維污染傳輸解析模式，以污染線源瞬間排放為例，分別考慮純擴散、 有滲流等情況，計算結果顯示各方向滲流速度影響溶質濃度運移的方向。三維污染傳輸解析模式，以污染面源瞬間排放為例，分別考慮純擴散、有滲流等情況，計算結果顯示各方向滲流速度顯著地影響溶質濃度運移的方向。 關鍵字：解析解、污染傳輸、飽和土壤、污染源 【Abstract】 With the aid of integral transform (e.g. Laplace Transform, Fourier Transform, Fourier Sine Transform, Fourier Cosine Transform and so on), the fundamental solution for the 1-D, 2-D and 3-D solute transport problems with Dirichlet and Neumann conditions were derived.The analytical solutions for Considering with these emission patterns suchas instantaneous emission with point source, periodical emission with point, line and plane source, continuous emission with point source, and exponential emission with point source) with pollutant source can be obtained through the integral calculus techniques.With the assistance of the initial conditions to seek the multi-dimensional solutions, we also verify the solutions by dint of computer codes. The derived solutions are helpful to soil amelioration and other similar computing simulations of solute transport in saturated soil systems.We calculate and discuss with the analytical solutions of multi-dimensional emission patterns, it shows that the speed of the seepage will affect themove direction of solute. Derived in this study was one-dimensional, two-dimensional and three-dimensional analytical solution for pollution transfer mode analysis and discussed the application of the calculation. Analysis of one-dimensional pollution transport model shows that the distribution of