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題 名 | 連續變化降雨強度之一維入滲問題之解析解=Analytical Solution on One Dimensional Infiltration Problem Under Condition of Continuous Changing Rainfall Intensity |
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作 者 | 陳建謀; 陳主惠; 譚義績; | 書刊名 | 農業工程學報 |
卷 期 | 45:3 1999.09[民88.09] |
頁 次 | 頁8-21 |
分類號 | 351.7 |
關鍵詞 | Kirchoff積分轉換; 張力水頭; 母體通量; Kirchoff integral transformation; Water head; Matric flux; |
語 文 | 中文(Chinese) |
中文摘要 | 降雨強度變化對影響入滲過程中之體積含水比變化及入滲率之影響頗大,因此 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Kirchoff積分轉換之方式求解理查(Richards)方程 式,可求出連續變化降雨強度下,積水前後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並可求解停止降雨後之土壤體積含水比剖面。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 積水前後之土壤體積含水比分佈,以砂土及壤土為例,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, 此外所推導之結果具容易運算之優點且可提供考慮連續變化降雨強度之複雜數值模 式驗證。 |
英文摘要 | Variation of rainfall intensity has much influence on the water content and infiltration rate. In this paper, two assumptions are presented, 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. By applying the Kirchoff integral transformation, a one-dimensional Richards's equation is solved under the condition of non-uniform distribution of rainfall intensity and uniform initial volumetric water content. Previous studies of analytical solutions which assumed uniform distribution of rainfall intensity may not come close to real rainfall condition. The derived analytical solution of this paper can predict ponding time and obtain the solution of soil water content distribution before and after ponding. If it is stop raining suddenly, we are also able to get analytical solution of volumetric water content distribution after stop raining. For example of sand soil and loam 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 study have the advantage of simple calculation, and can be used to verify more complicated numerical models, which consider continuous changing rainfall intensity. |
本系統中英文摘要資訊取自各篇刊載內容。