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为了研究越流含水层系统中大口径完整井附近地下水流动规律,根据Reynolds数将渗流场分为非达西流与达西流两个区域,提出了一种基于有限差分原理的迭代法,来模拟两区界面位置(RcD)随时间的变化规律,并采用实测数据验证本文解的实用性。结果表明:抽水初期,RcD很小,本文解与全达西流解析解几乎重合;抽水中期,RcD逐渐增大,解析解与数值解的降深曲线差别很明显,而在非达西流区域,本文解与全非达西流解析解的降深曲线斜率差别不大;在抽水后期,地下水流场达到稳定,RcD达到最大值,同时,在非达西流区域中,本文解与全非达西解吻合较好,在达西流区域,本文解与全达西流解吻合较好。RcD对井筒半径和滤水管半径比较敏感。当RcD趋于无穷大时本文解转化为全非达西流解;当RcD趋于0时本文解转化为全达西流解。
In order to study the regularity of groundwater flow near the large-diameter intact well in the over-flow aquifer system, the seepage field is divided into two regions, non-Darcy flow and Darcy flow, according to the Reynolds number. An iterative method based on the finite difference principle The RcD changes with time are simulated and the practicality of this solution is validated by the measured data. The results show that RcD is very small in the early stage of pumping, the solution of this solution is almost coincident with that of the whole Darcy flow, and the RcD increases gradually in the mid-pumping period. The difference between the analytical solution and the numerical solution is very obvious. , The slope of the deepening curve of this solution is not much different from that of the non-Darcy flow analytic solution. At the later stage of pumping, the groundwater flow field reaches a steady state and the RcD reaches the maximum value. Meanwhile, in non-Darcy flow region, Darcy solution better agreement, in the Darcy flow region, the solution and the entire Darcy flow solution is better. RcD is sensitive to the radius of the wellbore and the radius of the filter pipe. When RcD tends to infinity, this solution transforms into all non-Darcy solution; when RcD tends to 0, the solution is transformed into Darcy solution.