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滴灌条件土壤水分运动方程Galerkin有限元解
引用本文:李海春,张玉龙. 滴灌条件土壤水分运动方程Galerkin有限元解[J]. 土壤通报, 2011, 0(4): 918-922
作者姓名:李海春  张玉龙
作者单位:沈阳农业大学土地与环境学院;沈阳农业大学理学院;
基金项目:辽宁省科技厅农业攻关重大项目(20080112-311); 沈阳农业大学博士后基金资助
摘    要:理想条件下,土壤水分运动方程符合Richards方程,但在实践中很难应用。依据Galerkin有限元方法,推导出滴灌条件下土壤水分运动方程一阶近似解θ1=a1(1-a2x2-a2y2-b2z2)(1+t),揭示土壤含水率θ与水平距离xy、、垂直距离z和时间t之间函数关系。通过室内试验结果分析,认为该模型在实践上有一定的可靠性。

关 键 词:Richards方程  Galerkin有限元方法  近似解  滴灌  土壤水分扩散率  水分传导率

The First Order Galerkin Approximate Solutions on the Movement of Soil Water under Drip Irrigation with Isotropic Medium
LI Hai-chuna,b,ZHANG Yu-longa. The First Order Galerkin Approximate Solutions on the Movement of Soil Water under Drip Irrigation with Isotropic Medium[J]. Chinese Journal of Soil Science, 2011, 0(4): 918-922
Authors:LI Hai-chuna  b  ZHANG Yu-longa
Affiliation:LI Hai-chun~a,b,ZHANG Yu-long~a(Shenyang Agricultural University a.College of Soil and Environment,b.College of Science,Shenyang 110161,China.)
Abstract:It is well know that the movement of soil water suits the Richards equations under ideal conditions.It is too difficult to apply to practice without obtaining the solutions of equations.In this paper,we considered the approximate solutions of the movement of soil water and the Richards equations.By using the Galerkin finite element method,the approximation solutions of Richards equations were obtained under ideal conditions.The result could be applied into practice by the data analysis in laboratory.
Keywords:Richards equation  Galerkin finite element method  Approximate solution  Drip irrigation  Water diffusivity  Hydraulic conductivity  
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