稳态条件下土壤溶质运移的两区模型及其解析解  

Two-region model for solute transport in soil under the condition of steady flow

作　　者：张德生[1] 沈冰[1] 沈晋[1] 王全九[1] 

机构地区：[1]西安理工大学水资源研究所,陕西西安710048

出　　处：《水利学报》2003年第10期44-50,共7页Journal of Hydraulic Engineering

基　　金：国家自然科学基金资助项目(59879022)

摘　　要：给出了稳态水流条件下,非均质土壤中考虑水动力弥散尺度效应以及不动水体存在时,一维溶质运移的两区模型。并在初始浓度为零,半无限一维空间内第一类边界条件下,推导出了可动区和不动区溶质相对浓度的解析表达式。给出了利用Matlab软件包计算相对浓度的计算方法,并对一假设试验情形进行了计算,从计算结果可以看出:该模型的模拟结果符合土壤中溶质运移的规律。最后,用特征有限元法对模型进行了数值计算,从而验证了所得解析解的正确性。The tworegion model of 1D solute transport in heterogeneous soil considering scaledependent dispersion and immobile region under the condition of steady flow is studied.An analytical solution describing the concentration distributions both in mobile region and immobile region are deduced when initial concentration is zero and the boundary condition of the semiinfinite 1D space is the first kind.The analytical solution of an example is in good agreement with numerical calculation using characteristic finite element method,which is programmed by Matlab.

关 键 词：两区模型 解析解 LAPLACE变换 BESSEL函数 MATLAB软件包 

分 类 号：S153.5[农业科学—土壤学]