| 稳定流条件下土壤溶质运移两区模型的准解析解及数值模拟 |
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| 引用本文： | 张德生,沈冰,沈晋,王全九,武新乾.稳定流条件下土壤溶质运移两区模型的准解析解及数值模拟[J].水动力学研究与进展(A辑),2004,19(4):507-512. |
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| 作者姓名： | 张德生 沈冰 沈晋 王全九 武新乾 |
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| 作者单位： | 西安理工大学,西安,710048 |
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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： | 将弥散度概化为运移距离的指数函数，给出了稳定流条件下，非均质土壤中考虑水动力弥散尺度效应及不动水体存在时，一维溶质运移的两区模型。在初始浓度为零，半无限一维空间内定通量边界条件下，推导出了可动区和不动区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： | 两区模型 Laplace变换 准解析解 特征有限元法 |
| 文章编号： | 1000-4874(2004)04-0507-06 |
Quasi-analytical solution and numerical simulation for two-region model of solute transport through soils under steady state flow |
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| ZHANG De-Sheng,SHEN Bing,SHEN Jin,WANG Quan-Jiu,WU Xin-Qian.Quasi-analytical solution and numerical simulation for two-region model of solute transport through soils under steady state flow[J].Journal of Hydrodynamics,2004,19(4):507-512. |
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| Authors: | ZHANG De-Sheng SHEN Bing SHEN Jin WANG Quan-Jiu WU Xin-Qian |
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| Abstract: | A two-region model of 1-D solute transport through heterogeneous soils considering scale-dependent dispersion and immobile region under steady state flow is studied, and an quasi-analytical solution describing the concentration distribution in the mobile region and immobile region is deduced under zero initial concentration and constant flux boundary condition of a semi-infinite 1-D space. The numerical model of the two-region model is constructed by the characteristic finite element method. It can be seen from comparing the numerical solutions with the quasi-analytical solutions that the errors caused by the numerical computation are so small that the numerical model perfectly meets the demand of calculation precision in practical work. |
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| Keywords: | two-region model Laplace-transform quasi-analytical solution the characteristic finite element method |
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