| 土壤中溶质运移的数学模型及其解析解 |
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| 引用本文： | 张德生,沈冰.土壤中溶质运移的数学模型及其解析解[J].地球科学与环境学报,2001,23(4):44-47. |
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| 作者姓名： | 张德生 沈冰 |
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| 作者单位： | 1. 西安理工大学理学院
2. 西安理工大学水资源研究所 |
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| 基金项目： | 国家自然科学基金《黄土区土壤溶质迁移机制及耦合模型研究》( 5 98790 2 2 )项目 |
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| 摘 要： | 首先给出了非均匀土壤中考虑水动力弥散尺度效应的一维溶质运移两区模型.然后在初始浓度为零,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浓度分布Cm(x,t),Cim(x,t)的解析表达式.
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| 关 键 词： | 两区模型 解析解 Laplace变换 超几何函数 |
| 文章编号： | 1007-9955(2001)04-0044-04 |
| 修稿时间： | 2001年1月2日 |
MATHEMATICAL MODEL OF SOLUTE TRANSPORT THROUGH SOILS AND ITS ANALYTICAL SOLUTIN |
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| ZHANG De sheng ,SHEN Bing.MATHEMATICAL MODEL OF SOLUTE TRANSPORT THROUGH SOILS AND ITS ANALYTICAL SOLUTIN[J].Journal of Earth Sciences and Environment,2001,23(4):44-47. |
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| Authors: | ZHANG De sheng SHEN Bing |
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| Institution: | ZHANG De sheng 1,SHEN Bing 2 |
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| Abstract: | In this paper the two region model of one dimensional solute transport through heterogeneous soils considering scale dependent dispersion is studied, and an analytical solution describing the concentration distribution at the mobile region and immobile region is deduced under the initial concentration zero and the first boundary condition of a semi infinite one dimensional space. |
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| Keywords: | Two region model Analytical solution Laplace transform Hypergeometric function |
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