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首页> 外文期刊>Journal of Hydrology >New analytical model for constant-head pumping: Considering rate-dependent factor at well screen
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New analytical model for constant-head pumping: Considering rate-dependent factor at well screen

机译：恒杆泵浦新分析模型：考虑井屏依赖性因子

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摘要

Non-Darcy flow due to pumping may occur at the well screen and yields some head loss. Unlike the wellbore skin yielding a constant head loss at the well, the studies in petroleum engineering indicate that the head loss due to the non-Darcy flow is proportional to the pumping rate. The head loss due to non-Darcy flow is quantified by a rate-dependent factor at the well screen. To our knowledge, such a head loss is never considered in the area of groundwater hydraulics. In light of this, this study develops a groundwater flow model for the constant-head pumping with a head loss expressed in terms of a rate-dependent factor at a fully penetrating well in a confined aquifer. A skin factor representing the head loss due to the presence of wellbore skin is also incorporated into the model. The consideration of the rate-dependent factor, however, would make the model nonlinear. The model has a steady-state flow equation with a time-dependent finite outer boundary to approximate the transient groundwater flow in the aquifer system. The solutions to the model for the drawdown and wellbore flowrate are developed and compared with the finite difference solutions. With the help of the present solutions, the sensitivity analyses of the aquifer drawdown and wellbore flowrate are made. The effects of the wellbore skin and non-Darcy flow on the drawdown are also investigated. The wellbore flowrate solution is then applied to estimate the aquifer parameters based on the field data from a constant-head injection test in a confined aquifer. The prediction of the present solution gives the best fit to the field measured data as compared with three existing solutions, indicating that the consideration of the rate-dependent factor improves the aquifer parameter estimation. The results of the parameter estimation also reflect the quality of the well installation.
机译：由于泵送引起的非达到流动可能发生在井筛子并产生一些头部损失。与井中的井眼皮肤不同，石油工程的研究表明，由于非达西流量引起的头部损失与泵送速率成比例。由于非达西流引起的头部损失通过井筛网的速率依赖性因子量化。为了我们的知识，在地下水液压系统领域中从未考虑过这样的头部损失。鉴于此，该研究为恒定头部泵送的地下水流模型开发了恒定头部泵送，其在狭窄的含水层的完全穿透井中的速率依赖性因子方面表达了头部损失。代表由于井眼皮肤存在引起的头部损失的皮肤因子也纳入模型中。然而，考虑率依赖性因素将使模型非线性。该模型具有稳态流程方程，具有时间依赖的有限外边界，以近似含水层系统中的瞬态地下水流。开发并与有限差分解决方案相比，开发了对绘图和井筒流量模型的解决方案。借助目前的解决方案，制造了含水层绘制和井筒流量的敏感性分析。还研究了井筒皮肤和非达西流动对绘图的影响。然后应用井筒流量解决方案以基于来自狭窄的含水层中的恒定头部注射测试的现场数据来估计含水层参数。与三个现有解决方案相比，本解决方案的预测给出了现场测量数据的最佳拟合，表明依赖于速率因子的考虑提高了含水层参数估计。参数估计的结果也反映了井安装的质量。

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