WEI Feng,WANG Quan-jiu.Exponential Function Model of Soil Solute Transport[J].Research of Soil and Water Conservation,2012,19(05):230-234.
土壤溶质迁移的指数函数模型
- Title:
- Exponential Function Model of Soil Solute Transport
- Keywords:
- convection-dispersion equation; boundary layer method; exponential function model; soil solute transport; parameter estimation
- 分类号:
- S152.7+2
- 摘要:
- 边界层方法是描述土壤溶质迁移的简单方法，通过边界层距离与时间的关系可以估计溶质迁移参数。基于边界层方法，研究了土壤溶质迁移的数学模拟及相应参数估计问题。假定土壤溶质浓度剖面为指数函数，得到了描述溶质浓度分布的指数函数模型。各参数对边界层距离的影响分析表明，应选取较小的孔隙水流速度、短历时推求土壤溶质迁移参数；对不同模型预测土壤溶质分布进行比较，结果表明，在短距离处指数型解与精确解的误差比其它都要小。误差分析表明了指数函数模型的有效性和实用性。
- Abstract:
- The boundary layer theory is a simple model to describe solute transport in soil. The solute transport parameters can be estimated through the boundary layer changes over time. Modeling the solute transport in soil and estimating the transport parameters are the important goals of this research based on the boundary layer method. A soil solute transport exponential function model was developed based on assumption of exponential concentration profile. The effects of all parameters on boundary layer distance with time were analyzed. The results showed that the smaller pore-water velocity and the shorter duration should be selected to compute soil solute transport parameters. Equations describing soil solute concentration profile were compared with an exact solution. The results indicated that the errors of exponential solution were less than others at the shorter duration. The proposed model for estimating parameters and describing solute concentration distribution of solute transport in soil proves to be useful by error analysis.
参考文献/References:
[1] van Genuchten M Th, Wagenet R J. Two-site/two-region models for pesticide transport and degradation: theoretical development and analytical solution[J]. Soil Sci. Soc. Am. J., 1989, 53(5):1303-1310.
[2] Wallach R, Grigorin G, Rivlin J. A comprehensive mathematical model for transport of soil-dissolved chemicals by overland flow[J]. Journal of Hydrology, 2001, 247(1/2):85-99.
[3] Wang Q J, Horton R, Lee J. A simple model relating soil water characteristic curve and solution breakthrough curve[J]. Soil Science, 2002, 167(7):436-443.
[4] Gao Bin, Walter M T, Steenhuis T S, et al. Rainfall induced chemical transport from soil to runoff: theory and experiments[J]. Journal of Hydrology, 2004, 295(1/4):291-304.
[5] Pathak D R, Hiratsuka A. An integrated GIS based fuzzy pattern recognition model to compute groundwater vulnerability index for decision making[J]. Journal of Hydro-environment Research, 2011, 5(2):93-99.
[6] Shao M, Horton R, Miller R K. An approximate solution to the convection-dispersion equation of solute transport in soil[J]. Soil Science, 1998, 163(5):339-345.
[7] Wang Q J, Horton R. Boundary layer theory description of solute transport in soil[J]. Soil Science, 2007, 172(11):835-841.
[8] Kool J B, Parker J C, van Genuchten M. Parameter estimation for unsaturated flow and transport model: a review[J]. Journal of Hydrology, 1987, 91(3/4):255-293.
[9] 郑纪勇, 邵明安.应用边界层方法确定溶质迁移参数的实验研究[J].水利学报, 2002(1):92-96.
[10] Lindstrom F T, Haque R, Freed V H, et al. Theory on the movement of some herbicides in soil: linear diffusion and convection of chemicals in soils[J]. Environ. Sci. Technol., 1967, 1(7):561-565.
[11] 刘春平, 邵明安.土壤溶质锋运移的解析解[J].水土保持学报, 2001, 15(4):82-86.
备注/Memo
收稿日期:2012-1-3;改回日期:2012-3-26。
基金项目:国家重点基础研究发展计划资助(2011CB411903);国家自然科学基金资助项目(51179150)
作者简介:魏峰(1973- )，男，陕西扶风人，讲师，博士生，从事土壤溶质运移数学模拟研究。E-mail：weifxd@163.com
通讯作者:王全九(1964- )，男，内蒙古丰镇人，博士，教授，博士生导师，主要从事土壤物理与溶质运移研究。E-mail：wquanjiu@163.com