| 土壤中吸附性溶质运移对流-弥散模型的准解析解及其数值模拟 |
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| 引用本文： | 张德生,常安定,沈冰,武新乾.土壤中吸附性溶质运移对流-弥散模型的准解析解及其数值模拟[J].水动力学研究与进展(A辑),2005,20(2):226-232. |
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| 作者姓名： | 张德生 常安定 沈冰 武新乾 |
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| 作者单位： | 1. 西安理工大学,西安,710048
2. 长安大学,西安,710054 |
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| 基金项目： | 国家自然科学基金资助项目(59879022)，西安理工大学科技创新项目(108 210301) |
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| 摘 要： | 给出了稳定流条件下，同时考虑随深度变化的一阶降解和随深度变化的线性平衡吸附时，一维溶质运移的对流-弥散方程。在初始浓度为零，半无限一维空间内定通量边界条件下，推导出了溶质相对浓度的准解析表达式。用特征有限元法建立了相应的数值模型，从数值解和准解析解的计算数据可以看出：数值计算所产生的误差很小，能满足实际工作对计算精度的要求。
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| 关 键 词： | 对流-弥散方程 吸附 降解 准解析解 特征有限元法 |
| 文章编号： | 1000-4874(2005)02-0226-07 |
Quasi-analytical solution and numerical simulation for advection-dispersion model of adsorbed solute transport through soils under steady state flow |
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| ZHANG De-sheng,CHANG An-ding,SHEN Bing,WU Xin-qian.Quasi-analytical solution and numerical simulation for advection-dispersion model of adsorbed solute transport through soils under steady state flow[J].Journal of Hydrodynamics,2005,20(2):226-232. |
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| Authors: | ZHANG De-sheng CHANG An-ding SHEN Bing WU Xin-qian |
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| Affiliation: | ZHANG De-sheng~1,CHANG An-ding~2,SHEN Bing~1,WU Xin-qian~1 |
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| Abstract: | The advection-dispersion model of 1-D solute transport through soils with depth-dependent first-order degradation and depth-dependent linear equilibrium sorption under steady state flow is studied, and a quasi-analytical solution describing the concentration distribution is deduced under the initial zero concentration and the constant flux boundary condition of a semi-infinite 1-D space. The numerical model of the advection-dispersion model is constructed by the characteristic finite element method. It can be seen from comparing the numerical solutions to the quasi-analytical solutions that the errors caused by the numerical computation are so small that the numerical model perfectly meets the demand of the calculation precision in practical work. |
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| Keywords: | advection-dispersion model sorption degradation quasi-analytical solution the characteristic finite element method |
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