溶質在均質飽和土壤中運移之一維解析解

本文應用拉普拉斯轉換推導得具Dirichlet與Neumann條件的一維污染傳輸數學模式之基本解，然後將溶質在地表面瞬間排放、連續排放與定時段連續排放等三種常見的排放模式，給定初始值後代入基本解，運用積分技巧推求得溶質在均質飽和土壤中運移之解析解，再進一步給予文獻相同的求解條件來驗證推演解析解的正確性。這些溶質排放模式的解析解，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，亦可作爲驗證電腦模擬複雜污染傳輸模式數值解的合理性。

關鍵字

解析解；污染傳輸；點源

並列摘要

With the aid of Laplace transform, the fundamental solution for the solute transport problems with Dirichlet and Neumann conditions in a semi-infinite saturated, homogeneous soil is derived. Three types of point sources with specific time drop in the soil surface were considered. The analytical solutions for solute concentration distribution with these source inputs are presented. The validity of each solution is analyzed and discussed, individually. The derived solutions are helpful to soil amelioration and other similar computing simulations of solute transport in soil systems.

並列關鍵字

Analytical solutions ； Solute transport ； Point source

國際替代計量

溶質在均質飽和土壤中運移之一維解析解

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