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首页> 外文期刊>Journal of Hydrology >Three-dimensional response to a partially penetration well pumping in a general anisotropic three-layer aquifer system
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Three-dimensional response to a partially penetration well pumping in a general anisotropic three-layer aquifer system

机译：一般各向异性三层含水层系统中部分穿透井泵送的三维响应

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摘要

Three-dimensional response to well pumping in a multilayer aquifer system with rigorous treatment of interfacial flow attracts great attention among the subsurface hydrologists because of its theoretical importance and practical merits. In this study, a general theory of three-dimensional groundwater flow to a well of infinitesimal radius in an anisotropic three-layer aquifer system is developed with a constant-rate pumping in the lower layer, and associated semi-analytical solutions of drawdowns in individual layers are obtained. This theory discards many previous assumptions for studying a multilayer aquifer system such as simplified flow configuration in the aquitard, treatment of cross-formation flow as a volumetric averaged term adding to the governing equations of aquifer flows, and sometimes negligence of vertical flow components in the aquifers. Additionally, this theory considers three types of commonly used top boundary conditions: A water table with delayed gravity drainage boundary condition (Case 1), a constant-head top boundary condition (Case 2), and a no-flow top boundary condition (Case 3). The dimensionless drawdown solutions in Laplace domain are obtained and inverted numerically to calculate the time-domain solutions. The solution encompasses existing solutions for a two-layer or a single-layer (e.g. unconfined or confined) aquifer system as subsets. The developed solutions are tested extensively with a finite-element numerical solution using COMSOL and other existing solutions, and a sensitivity analysis is performed to prioritize the influences of different parameter groups. The results of this study can be used to predict the pumping induced drawdown at any position with an observation well, and to estimate the hydraulic parameters of the lower pumped layer and upper layer, as well as the middle layer. The developed theory provides a basis for other potential applications such as geotechnical engineering and groundwater management.
机译：由于其理论重要性和实用的优点，对界面流动严格治疗的多层含水层系统中良好泵送良好涌入的三维响应吸引了地下水文中的极大关注。在本研究中，在各向异性三层含水层系统中对无限的半径到井的三维地下水流动的一般理论是在下层中的恒定速率泵浦开发，以及个人削减的相关半分析解决方案获得层。该理论丢弃了研究多层含水层系统的许多假设，例如在水中的简化流动配置，作为体积平均术语的交叉形成流量，添加到含水层流量的控制方程，有时疏忽垂直流量组件含水层。此外，该理论考虑了三种类型的常用顶部边界条件：具有延迟重力排水边界条件（壳体1）的水位，恒定头顶边界条件（壳体2）和无流动顶部边界条件（壳体3）。获得拉普拉斯域中的无量纲缩小溶液，并在数控上反转以计算时域解决方案。该解决方案包括两层或单层（例如非整合或限制）含水层系统作为子集的现有解决方案。通过使用COMSOL和其他现有解决方案的有限元数值解决方案广泛地测试开发的解决方案，并进行灵敏度分析以优先考虑不同参数组的影响。该研究的结果可用于预测泵的泵送诱导的绘制，其具有观察孔，并估计下泵浦层和上层的液压参数以及中间层。开发理论为岩土工程和地下水管理等其他潜在应用提供了基础。

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