完整井定降深抽水非稳定流水位流量近似解

为分析无限承压含水层单完整井定降深抽水引起的非稳定井流问题,针对轴对称完整井非稳定流微分方程,将井径的影响考虑在模型的边界条件中,采用Boltzmann变换,推求得到在无限承压含水层中单完整井定降深抽水情况下,水位和流量的近似解。将近似解与已有的解析解进行对比,发现近似解与已有的解析解相对误差在15%以内,而且所得到的近似解在计算中更简便,更适合应用于工程实际。实际案例应用表明,所得到的水位和流量的近似解与实测数据拟合程度较高,验证了所推求近似解的适用性。

An approximate solution of unsteady flow under fixed-drop pumping

An approximate solution to the differential equations of axisymmetric unsteady well-flow was derived to assess the water level and discharge based on Boltzmann transformation，which can predict the variation of water level and discharge of a fully penetrating well in the infinite confined aquifer under unsteady well-flow condition caused by fixed-drop pumping. The effect of well diameter was taken into account in the solution. The relative error of the approximate solution to the classical solution is 0–15%，and the approximate solution is simpler and more convenient than the classical method. The applicability of the approximate solution was verified through a case study. The results showed that the approximate solution is identical with data in the case.