不同条件下Green-Ampt模型累积入渗量显函数的适用性  

Applicability of Explicit Functions on Cumulative Infiltration of Green-Ampt Model under Different Conditions

作　　者：刘继龙[1] 马孝义[1] 张振华[2] 

机构地区：[1]西北农林科技大学水利与建筑工程学院,陕西杨凌712100 [2]鲁东大学地理与规划学院,山东烟台264025

出　　处：《应用基础与工程科学学报》2010年第1期11-19,共9页Journal of Basic Science and Engineering

基　　金：国家自然科学基金项目(50879072和50609022);国家科技支撑计划项目(2006BAD11B04);国家"863"计划课题(2006AA100209);西北农林科技大学人才专项资金项目(BJRC-2009-001)

摘　　要：通过分析Green-Ampt模型和Philip模型计算累积入渗量的方程,利用两模型参数之间的转换关系,建立两个Green-Ampt模型累积入渗量的显函数,并对其适用性进行评价.不同土壤质地和田间试验条件下的入渗试验检验表明,显函数Ⅰ计算的累积入渗量的IRE和RMSE分别为0.01%、0.34%、0.33%、0.33%、1.98%和0.13、0.05、0.09、0.09、0.09,显函数Ⅱ计算的累积入渗量的IRE和RMSE分别为1.53%、0.40%、2.11%、0.67%、4.88%和0.15、0.05、0.11、0.09、0.16,显函数Ⅰ和显函数Ⅱ的计算误差都较小,显函数Ⅰ的计算精度相对更高;土壤质地不同时显函数Ⅰ和显函数Ⅱ的计算精度都有较大差别;田间试验条件下显函数Ⅰ和显函数Ⅱ的计算精度都有所降低.此外建立的显函数结构较为简单,具有一定的物理基础,可利用建立的显函数解决入渗问题.Through analyzing equations which were used to calculation cumulative infiltration in Green-Ampt model and Philip model, the paper established two explicit functions to cumulative infiltration of Green-Ampt model with the conversion relationship of parameters, and evaluated their applicability. The tests of ponded water infiltration experiment under different soil texture and field showed that when cumulative infiltration was calculated with explicit function Ⅰ , its integral relative error was 0. 01%, 0. 34%, 0. 33%, 0. 33%, 1.98%, and mot mean square error was 0. 13, 0. 05, 0.09, 0.09, 0. 09; when cumulative infiltration was calculated with explicit function Ⅱ, its integral relative error was 1.53%, 0. 40%, 2. 11%, 0. 67%, 4.88%, and root mean square error was 0. 15, 0. 05, 0. 11, 0. 09, 0. 16. The above results indicated that calculation error of explicit function Ⅰ and Ⅱ were less, but precision of explicit function Ⅰ was relatively higher; calculation error of explicit function Ⅰ and explicit function Ⅱ were different for different soil texture, precision of explicit function Ⅰ and Ⅱ in the field condition would decrease. Furthermore, established explicit functions had a simple structure and a certain physical foundation. These results presented above showed that explicit function Ⅰ and Ⅱ could be used to solve infiltration problems in the practical application.

关 键 词：GREEN-AMPT模型 Philip模型 累积入渗量 显函数 

分 类 号：S275.6[农业科学—农业水土工程]