摘要
结合线源测量方法，在Lewis-Milne方程的基础上推导出了本文作者提出的土壤入渗性能线源入流计算模型的近似解析解。进行了线源入渗测量室内试验，利用数值算法及近似算法分别计算得到了土壤入渗过程。将计算结果与双环法进行了比较，同时利用水量平衡原理，通过比较入渗水量与实际总供水量得到不同计算模型的相对误差。其中数值解为7.21%~14.8%；解析解较低，为3.31%~12.4%。本研究可以直接得到土壤入渗性能及累计入渗量的时间方程，为降雨产汇流过程、灌溉系统设计与管理等相关研究提供了非常有效的工具。
An analytical approximation solution to the mathematic model for calculation of soil infiltrability with linear-source inflow is presented, based on the mass-balance principle that when the supplied flow rate is constant. A cumulative infiltration equivalent to the Lewis–Milne equation is produced by ignoring water ponding at the soil surface. Measurement of linear source infiltration was conducted in lab and soil infiltration process was worked out using the numerical algorithm and approximate analytical algorithm. The calculated results were compared with that measured with the double-ring method, and meanwhile based on the principle of mass balance, relative deviations of the calculation models were worked out through comparing the volume of water infiltration with the actual water supply. It was 7.21%~14.8% for numerical solution and 3.31%~12.4% for analytic solution. The significance of this research is that both soil infiltrability and temporal equation of cumulative infiltration can be obtained directly, thus providing an efficient tool for relevant researches on prediction of rainfall–runoff process, hydrologic models and designing and management of irrigation systems.
出处
《土壤学报》
CSCD
北大核心
2014年第2期255-262,共8页
Acta Pedologica Sinica
基金
国家自然科学基金重点项目(40635072)
国家“十二五”支撑计划(2011BAD09B01)
“十二五”863课题(2011AA100503)资助
关键词
入渗
线源
模型
解析解
Infiltration
Linear source
Model
Analytical solution
