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| 題 名 | Kirchoff積分轉換解析非均勻降雨強度下有地下水位之一維入滲問題=Analytical Solution of One Dimensional Infiltration Problem Under Condition of Non-uniform Rainfall Intensity and with Groundwater Table Using Kirchoff Integral Transformation |
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| 作 者 | 陳主惠; | 書刊名 | 農業工程學報 |
| 卷 期 | 46:1 2000.03[民89.03] |
| 頁 次 | 頁69-80 |
| 分類號 | 434.222 |
| 關鍵詞 | Kirchoff積分轉換; 張力水頭; 母體通量; Kirchoff integral transformation; Water head; Matric flux potential; |
| 語 文 | 中文(Chinese) |
| 中文摘要 | 本文以理查( Richards )方程式為控制方程式,考慮有地下水位之情形下, 基 於假設母體通量與體積含水比成線性比例及土壤水力傳導係數與張力水頭之關係為指數分佈 之前題下,利用函數轉換之方式求解理查( Richards )方程式,可求出變化之降雨強度及 任意起始條件下,土壤體積含水比剖面之解析解,同時可預測達積水所需之時間。而前人所 探討之解析解均以簡化之均勻降雨強度之邊界條件以及均勻分佈之土壤體積含水比剖面的起 治條件考量下求解,與實際狀況較不吻合,本文所推導之解析解可應用於預測積水前後之土 壤體積含水比分佈,以砂土為例,可模擬降雨強度與時間之分佈呈類似常態分佈,與實際降 雨特性較接近,可提供較複雜數值模式之驗證。 |
| 英文摘要 | This paper is based on two assumptions. One is the linear relationship between matric flux potential and soil water content, the other is the exponential relationship between hydraulic conductivity and water head. One-dimensional infiltration problem of unsaturated soil with groundwater level is considered. The technique of function transformation is applied to solve Richards's equation under the condition of varying distribution of rainfall intensity and arbitrary initial water content. Previous studies of analytical solutions assumed uniform distribution of rainfall intensity might not come close to real rainfall condition. The analytical solution of this paper can predict ponding time and obtain the solution of soil water content distribution before and after ponding. The distribution on rainfall intensity is similar to normal distribution, which close to the real rainfall distribution. Also, solutions of this paper can be used to verify some complicated numerical models. |
本系統中英文摘要資訊取自各篇刊載內容。