| 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): |
| 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 |
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| 中文关键词: 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 |
| 英文关键词: pumping recharge partially penetrating well mathematical model unsteady flow Laplace transform variable separation method analytical solution |
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| 中文摘要: |
| 对承压含水层在抽- 灌同轴非完整井的抽、灌水作用下产生的地下水三维非稳定流建立了数学模型，应用Laplace变换、分离变量法以及井周边界条件傅里叶级数延拓的方法，推导得到考虑越流补给、各向异性条件以及在周期性循环抽水和灌水作用下的地下水水位变化的解析表达式。该解能够退化为考虑越流条件的Hantush非完整井流解析解、第一类越流定流量完整井解和Theis公式。通过算例，在恒定抽水和灌水速率情况下，分析了灌水与抽水速率比、灌水井滤壁长度对承压层水位变化规律及其沿厚度方向和径向分布的影响；在周期性抽水和灌水条件下，分析了承压层水位周期性波动变化的一些规律。 |
| 英文摘要: |
| A mathematical model is developed for 3D unsteady flow in confined aquifer subjected simultane ?
ously 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 consider-ation 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. |
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