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| An approximate solution of unsteady flow under fixed-drop pumping |
| WU Gang，SUN Hongyue，CHEN Yongzhen，TANG Bihui，YAN Xin |
| (Ocean College，Zhejiang University，Zhoushan，Zhejiang 316021，China) |
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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.
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2017, Vol. 36 
