The flow in an unconfined double-porosity aquifer with a sloping base is investigated and equations are developed for its description. In order to obtain a relatively simple description of the problem, similar assumptions as in Moutsopoulos (2021) have been adopted; the pressure in the unsaturated zone, especially in the fractures’ network, is considered to be atmospheric, and the Dupuit-Forchheimer approximation is invoked, reducing the dimensionality by eliminating the vertical direction. The derived equations have been linearized and solved analytically for a problem involving interaction between an inclined aquifer and an adjacent surface water body similar to the one examined by Akylas and Koussis (2007). The analytical solution has been checked against results obtained with state-of-the-art numerical codes. The agreement between the two approaches is excellent. The solution tools were used to gain insight in the influence of the aquifer's base inclination on the flow quantities.

中文翻译：

---

倾斜基底非承压双孔隙含水层的流动特性


研究了具有倾斜底座的无侧限双孔隙含水层中的流动，并开发了描述方程。为了获得相对简单的问题描述，采用了与 Moutsopoulos （2021） 类似的假设;非饱和带中的压力，尤其是在裂缝网络中的压力被认为是大气的，并调用了 Dupuit-Forchheimer 近似，通过消除垂直方向来降低维度。对于涉及倾斜含水层和相邻地表水体之间相互作用的问题，推导出的方程已被线性化并解析求解，类似于 Akylas 和 Koussis （2007） 研究的问题。分析解已根据使用最先进的数字代码获得的结果进行了检查。这两种方法之间的一致性非常好。求解工具用于深入了解含水层底部倾角对流量的影响。