完整井定降深抽水非稳定流水位流量近似解

doi:10.13722/j.cnki.jrme.2017.0295

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摘要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。

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	吴纲
	孙红月
	陈永珍
	汤碧辉
	严鑫

关键词 ：渗流力学, 非稳定流, 定降深, 近似解, Boltzmann变换, 完整井

Abstract：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.

Key words： seepage mechanics unsteady flow fixed-drop approximate solution Boltzmann transform fully penetrating well

引用本文:

吴纲，孙红月，陈永珍，汤碧辉，严鑫. 完整井定降深抽水非稳定流水位流量近似解[J]. 岩石力学与工程学报, 2017, 36(12): 3095-3101.
WU Gang，SUN Hongyue，CHEN Yongzhen，TANG Bihui，YAN Xin. An approximate solution of unsteady flow under fixed-drop pumping. , 2017, 36(12): 3095-3101.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.0295 或 http://www.rockmech.org/CN/Y2017/V36/I12/3095

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