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有限区域地下水非稳定流解析解 被引量:11

Analytical solution of unsteady groundwater flow in limited areas
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摘要 针对工程建设中存在的有限区域地下水流动问题,以及已有文献中隔水边界条件下解析解计算结果的不合理性,利用Fourier变换和Hankel变换分别推导了矩形有限区域和圆形有限区域在不同边界条件下的地下水非稳流解析解,指出了已有文献中有限区域隔水边界条件下解析解存在的问题,保证了有限区域地下水流动问题的合理计算. Due to regional groundwater flow in the engineering construction site and the unreasonable results of the analytical solutions from literatures related to no-flow boundary, analytical solutions of unsteady groundwater flow in rectangular area and circular area were derived by Fourier integral transforms and Hankel integral transforms under the different boundary conditions. The existing problems of analytical solution were pointed out under no-flow boundary conditions, then the groundwater flow computation in reasanableness limited areas can be assured.
出处 《南京工业大学学报(自然科学版)》 CAS 2008年第2期45-50,共6页 Journal of Nanjing Tech University(Natural Science Edition)
基金 国家自然科学基金资助项目(50278042) 江苏省高校自然科学研究计划资助项目(03KJB560044)
关键词 有限区域 地下水 非稳定流 解析解 limited areas groundwater unsteady flow analytical solution
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参考文献6

  • 1Theis C V. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage [ J]. Am Geophys Union Trans, 1935, 16: 519 -524.
  • 2Boulton N S. The drawdown of the water table under non-steady conditions near a pumped well in an unconfined formation [ J]. Proc Inst Civil Engrs, 1954, 3(2):564 -579.
  • 3Bouhon N S. Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage[J].Proc Inst Civil Engrs, 1963,12 ( 11 ) : 469 - 482.
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  • 6吴林高,张瑞,缪俊发,姚迎.基坑围护结构周围的地下水井流计算[J].同济大学学报(自然科学版),1995,23(3):253-258. 被引量:5

二级参考文献3

  • 1吴林高,同济大学学报,1995年,23卷,1期,1页
  • 2吴林高,同济大学学报,1989年,17卷,1期,22页
  • 3杨开行,地下水流向井的非稳定运动原理及计算方法,1980年

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