水利学报2012，Vol.43Issue(1)：60-68,9.
抽-灌同轴非完整井承压层非稳定流模型及解析解
A mathematical model and its analytical solution for confined aquifer subjected to pumping and recharge implemented by a single partially penetrating well
摘要
Abstract
A mathematical model is developed for 3D unsteady flow in confined aquifer subjected simultaneously to pumping and recharge by a single partially penetrating well. The corresponding analytical solutions are attained by combined use of Laplace transform, variable separation method and Fourier series expansion of boundary condition for surface of the well. The solution involves the consideration of leakage, anisotropic property and periodical pumping and recharge. The solution can be reduced to some existing analytical solutions by Hantush and Theis. By numerical examples, the effect the ratio of recharge rate and pumping rate and the filter length of recharge chamber change of hydraulic head and distribution along the depth and radial direction under the constant pumping and recharge rate are analysed. The fluctuation of hydraulic under periodical pumping and recharge were also analyzed.关键词
抽水/灌水/非完整井/数学模型/非稳定流/Laplace变换/分离变量法/解析解Key words
pumping/recharge/partially penetrating well/mathematical model/unsteady flow/Laplace transform/variable separation method/analytical solution分类
建筑与水利引用本文复制引用
王玉林,谢康和,李传勋,黄大中..抽-灌同轴非完整井承压层非稳定流模型及解析解[J].水利学报,2012,43(1):60-68,9.基金项目
浙江省自然科学基金重点项目 （）
教育部高校博士点专项基金项目 （）
