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題名 | Kirchoff積分轉換解析不積水之一維入滲問題=Analytical Solution of Kirchoff Integral Transformation on One Dimensional Infiltration Problem without Ponding Depth |
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作 者 | 陳建謀; 譚義績; 陳主惠; | 書刊名 | 臺灣水利 |
卷期 | 47:1=185 1999.03[民88.03] |
頁次 | 頁67-74 |
分類號 | 351.8 |
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 化降雨強度而未達積水前均勻分佈之起始條件下,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始條件考量下求解,與實際狀況較不吻合,本文所推導之解 析解可應用於預測降雨不造成積水之狀況,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,降雨強度變化由小而大,再由大而小,與實際降雨特性較接近,此外所推導之 結果僅為幾個簡易之數學式,其容易運算之優點且可提供較複雜數值模式之驗證。 |
英文摘要 | In this paper, base 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. Consider one dimensional semi-infinite region problems of unsaturated soil, apply the technique of function transformation to solve Richards equation under the condition of nonuniform distribution of rainfall intensity and uniform initial water content. Previous studies of analytical solutions assumed uniform distribution of rainfall intensity may 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 ponding. For example of sand soil, it can simulate variation of rainfall intensity looks like normal distribution, which makes the simulation comes close to the real rainfall distribution. Also solutions of this paper are some simple mathematicalformulae, it has the advanta simple calculation, can be used to verify some complicated numerical models. |
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