Abstract To consider the non-Darcian nature of groundwater flow and the permeability reduction owing to well and aquifer clogging, an Izbash's law-based analytical model with a time-dependent hydraulic conductivity function is proposed for constant-rate recharge and constant-head recharge. By means of linearization approximations, variable substitutions and the Laplace transform, approximate analytical solutions for the model are derived. Comparison of developed approximate analytical solutions with numerical solutions indicates that the approximate solutions are highly accurate except during the short period of initial recharge stage. The proposed model provides a theoretical basis for managed aquifer recharge involving clogging-related permeability reduction and non-Darcian flow.

中文翻译：

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封闭含水层中人工补给井的非达西流动与堵塞相关的渗透率降低

摘要 为了考虑地下水流的非达西性质以及由于井和含水层堵塞导致的渗透率降低，提出了一种基于Izbash定律的具有时间依赖的导水率函数的分析模型，用于恒速补给和恒水头补给。通过线性化近似、变量代换和拉普拉斯变换，推导出模型的近似解析解。将建立的近似解析解与数值解进行比较表明，除了初始充电阶段的短时间外，近似解具有很高的精度。所提出的模型为涉及与堵塞相关的渗透率降低和非达西流的含水层补给管理提供了理论基础。