Abstract This paper presents analytical solutions for pumping from a poroelastic, confined aquifer where the combined effects of a finite-thickness skin zone and the wellbore storage are fully incorporated. The pumping-induced axisymmetric stress, plane strain deformation, and pore pressure are derived in the Laplace transform domain. Time-domain solutions are obtained using the Stehfest inversion algorithm. Numerical examples are presented to investigate the effects of hydromechanical coupling and poroelasticity on the hydraulic drawdown at the pumping well and at an observation well. The results show that traditional methods substantially underestimate the drawdown at the pumping well in a low-permeability hard rock compared with the drawdown predicted using the fully coupled poroelastic theory. The difference becomes more pronounced when a finite-thickness positive skin is present with a permeability that is lower than the permeability of the formation. For finite-radius pumping wells with storage, the effects of poroelasticity on drawdown are masked by the effects associated with wellbore storage.

中文翻译：

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多孔弹性承压含水层中具有井筒储存和趋肤效应的有限半径井的瞬态流动

摘要 本文提出了从多孔弹性承压含水层抽水的分析解决方案，其中充分结合了有限厚度表皮区和井筒储存的综合影响。泵送引起的轴对称应力、平面应变变形和孔隙压力是在拉普拉斯变换域中导出的。时域解是使用 Stehfest 反演算法获得的。给出了数值例子来研究流体力学耦合和多孔弹性对抽水井和观测井的水力压降的影响。结果表明，与使用全耦合多孔弹性理论预测的压降相比，传统方法大大低估了低渗透率硬岩中抽水井的压降。当存在渗透率低于地层渗透率的有限厚度正表层时，差异变得更加明显。对于具有蓄水能力的有限半径抽水井，孔隙弹性对压降的影响被与井筒蓄水相关的影响所掩盖。