A steady-state analytical solution based on the method of Green’s function is presented for the analysis of hydraulic interference between pumping wells and ambient flow in a heterogeneous wedge-shaped aquifer. Two intersecting streams with spatially variable head form the boundaries of the wedge and establish non-uniform distribution of ambient flow across it. The dual-zone aquifer consists of two porous media of constant but contrasting transmissivities and refraction conditions are exactly satisfied along their common interface. The method of Green’s function affords an integral representation of boundary heads which is readily evaluated in terms of Lerch transcendent function. Integration of Cauchy-Riemann equations gives the associated stream function in closed-form which in turn completes analytical description of the flow net. A systematic way for the assessment of mass balance at both aquifer and sub-aquifer (well capture zone) scales is discussed which also helps identifying whether a certain reach of the boundary stream is losing or gaining water to or from the adjoining aquifer. The solution is general in the sense that the wedge angle, location and discharge of the wells, dual-zone transmissivities and slopes of boundary head variation can be arbitrary chosen. The solution encompasses the case of stream-barrier wedge as a subset. Hypothetical examples demonstrate the complex interaction between surface–subsurface waters showing formation of stagnation point on the capture zone envelopes. In each case, head profiles are in excellent agreement with numerical counterparts from adaptive finite element method. Finally, uncertainty analysis quantifies the extent to which stochastic nature of dual-zone transmissivities and boundary head slopes (model inputs) affects hydraulic head at specific observation points (model output).

提出了一种基于格林函数方法的稳态解析解，用于分析非均质楔形含水层中抽水井与环境流量之间的水力干扰。两个具有空间可变水头的相交流形成楔形的边界，并在其上建立环境流的不均匀分布。双区含水层由两种具有恒定但对比透射率和折射条件的多孔介质沿它们的共同界面完全满足。格林函数的方法提供了边界头的积分表示，它很容易根据 Lerch 超越函数进行评估。柯西-黎曼方程的积分给出了封闭形式的相关流函数，从而完成了流网的解析描述。讨论了一种在含水层和次含水层（井捕获区）尺度上评估质量平衡的系统方法，这也有助于确定边界流的某个河段是否正在向或从相邻含水层流失或获取水。该解决方案是通用的，即楔角、井的位置和流量、双区透水率和边界水头变化的斜率可以任意选择。该解决方案包含作为子集的流阻楔的情况。假设的例子证明了地表水与地下水之间的复杂相互作用，表明在捕获区包络上形成了停滞点。在每种情况下，头部轮廓都与自适应有限元方法的数值对应物非常一致。最后，