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矿区土壤中含水率及重金属迁移转化的数值模拟
引用本文:肖国光,马官慧,王志忠.矿区土壤中含水率及重金属迁移转化的数值模拟[J].数学理论与应用,2013(3):63-71.
作者姓名:肖国光  马官慧  王志忠
作者单位:[1]长沙矿冶研究院有限责任公司,长沙410012 [2]中南大学数学与统计学院学院,长沙410083
基金项目:国家环保部国家环保公益性行业科研专项(201109051);国家重大科技专项(2010ZX07212-008)
摘    要:本文基于由连续性方程和达西定律所推出的土壤中水分运动基本方程,以一维垂向水分方程为研究对象,构造稳定收敛的有限差分格式,运用MATLAB数学工具,对地面饱水情况下土壤水分运动的一维垂向方程进行了数值模拟,得到了土壤中水分的迁移规律;同时,综合考虑对流扩散作用以及土壤对重金属的吸附解吸作用,利用非饱和土壤中重金属离子迁移转化模型,对锌离子在矿区土壤中的迁移转化进行了数值模拟,展示了锌离子在矿区土壤中的浓度分布规律.

关 键 词:土壤水分运动  土壤含水率  重金属浓度  数值模拟

Numerical Simulation of Moisture Content and Heavy Metal Migration in Mining Soils
Xiao Guoguang Ma Guanhui Wang Zhizhong.Numerical Simulation of Moisture Content and Heavy Metal Migration in Mining Soils[J].Mathematical Theory and Applications,2013(3):63-71.
Authors:Xiao Guoguang Ma Guanhui Wang Zhizhong
Institution:Xiao Guoguang Ma Guanhui Wang Zhizhong Changsha Research Institute of Mining and Metallurgy limited liability company, Changsha 410012, China) (2. Central South University, School of Mathematics and Statistics, Changsha 410083, China)
Abstract:In this paper the migration law of moisture in soil in water - saturated state is obtained by solving the dy- namic equation of the water's motion in soil,which is derived by applying Darcy' s law and the continuity equation, in the vertical direction with stable and convergent finite difference schemes, and then, by employing the numerical solution of the dynamic equation, taking the effects of convection, diffusion, adsorption and desorption into considera- tion, and carrying numerical simulation to the migration and transformation model of heavy metal in unsaturated soil, the distribution of the concentration of heavy metal Zn in soil near mine - lots is established.
Keywords:Soil Water Flow Soil Moisture Content Heavy Metal Concentration Numerical Simulation
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