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| RULE OF TRANSIENT PHREATIC FLOW SUBJECTED TO VERTICAL AND HORIZONTAL SEEPAGE | |
| 引用本文： | 陶月赞,席道瑛. RULE OF TRANSIENT PHREATIC FLOW SUBJECTED TO VERTICAL AND HORIZONTAL SEEPAGE[J]. 应用数学和力学(英文版), 2006, 27(1): 59-65. DOI: 10.1007/s 10483-006-0108-1 |
| 作者姓名： | 陶月赞 席道瑛 |
| 作者单位： | School of Civil Engineering Hefei University of Technology，HEfei 230009，P.R.China，Department of Earth Science，University of Science and Technology of China，Hefei 230026，P.R.China |
| 摘 要： | In a semi-infinite aquifer bounded by a channel,a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage.Based on the first linearized Boussinesq equation,the analytical solution of the model is obtained by Laplace transform.Having proven the transformation between the analytical solution and some relevant classic formulas,suitable condition for each of these formulas is demon- strated.On the base of the solution,the variation of transient flow process caused by the variables,such as vertical infiltration intensity,fluctuation range of river stage,aquifer parameters such as transmissivity and specific yield,and the distance from calculating point to channel boundary,are analyzed quantitatively one by one.Lagging effect will happen to the time,when phreatic water gets its maximum fluctuation velocity,response to the varying of the variables stated above.The condition for some variables to form equivalent lagging effect is demonstrated.Corresponding to the mathematical charac- teristics of the analytical solution,the physical implication and the fluctuation rule of groundwater level are discussed. |
| 关 键 词： | 水平渗流 半无限蓄水层 垂直渗流量 瞬时地下水流量 |
| 收稿时间： | 2004-08-17 |
| 修稿时间： | 2005-09-12 |
Rule of transient phreatic flow subjected to vertical and horizontal seepage |
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| Yue-zan Tao,Dao-ying Xi. Rule of transient phreatic flow subjected to vertical and horizontal seepage[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(1): 59-65. DOI: 10.1007/s 10483-006-0108-1 | |
| Authors: | Yue-zan Tao Dao-ying Xi |
| Affiliation: | 1. School of Civil Engineering, Hefei University of Technology, Hefei 230009,P.R.China 2. Department of Earth Science, University of Science and Technology of China, Hefei 230026, P.R.China |
| Abstract: | In a semi-infinite aquifer bounded by a channel,a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage.Based on the first linearized Boussinesq equation,the analytical solution of the model is obtained by Laplace transform.Having proven the transformation between the analytical solution and some relevant classic formulas,suitable condition for each of these formulas is demon- strated.On the base of the solution,the variation of transient flow process caused by the variables,such as vertical infiltration intensity,fluctuation range of river stage,aquifer parameters such as transmissivity and specific yield,and the distance from calculating point to channel boundary,are analyzed quantitatively one by one.Lagging effect will happen to the time,when phreatic water gets its maximum fluctuation velocity,response to the varying of the variables stated above.The condition for some variables to form equivalent lagging effect is demonstrated.Corresponding to the mathematical charac- teristics of the analytical solution,the physical implication and the fluctuation rule of groundwater level are discussed. |
| Keywords: | channel boundary semi-infinite aquifer vertical seepage horizontal seepage transient phreatic flow |
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