Solution and its application of transient stream/groundwater model subjected to time-dependent vertical seepage

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• 作者：Yue-zan Tao ; Mei Yao and Bing-feng Zhang
• 关键词：stream/groundwater aquifer ; time ; dependent vertical seepage ; parameters of aquifer ; water quantity exchange ; phreatic evaporation
• 刊名：Applied Mathematics and Mechanics
• 出版年：2007
• 出版时间：September, 2007
• 年：2007
• 卷：28
• 期：9
• 页码：1173-1180
• 全文大小：250 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

Based on the first linearized Boussinesq equation, the analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral. According to the mathematical characteristics of the solution, different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions. Then, the equation for estimating water exchange between stream and aquifer is proposed, and a recursion equation or estimating the intensity of phreatic evaporation is also proposed. A phreatic aquifer stream system located in Huaibei Plain, Anhui Province, China, is taken as an example to demonstrate the estimation process of the methods stated herein.