This paper develops a comprehensive two-dimensional (2D) groundwater model that surpasses traditional one-dimensional approaches by incorporating extensive hydrological and geological data typically acquired through well drilling. The primary objective of this research is to explore and characterize the complex dynamics of groundwater flow within sloping heterogeneous aquifers subject to rainfall-induced recharge events. To achieve this, the study utilizes the 2D Boussinesq equation, which is enhanced with meticulously defined boundary conditions to more accurately reflect real-world scenarios. The Integral Transform Technique (ITT) is employed to derive an analytical solution that integrates the effects of variable rainfall recharge, aquifer inclination angles, and inherent heterogeneity. This analytical model effectively captures varying recharge dynamics, both spatially and temporally, contributing to a better understanding and management of groundwater systems. The paper presents a new analytical framework, offering deeper insights into how natural factors impact porous medium behavior, thereby providing strategic references for sustainable water resource management.

中文翻译：

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可变补给条件下双向倾斜非均质含水层地下水位的综合二维分析建模


本文开发了一个全面的二维 （2D） 地下水模型，该模型通过整合通常通过钻井获得的大量水文和地质数据，超越了传统的一维方法。本研究的主要目的是探索和描述受降雨诱导补给事件影响的倾斜非均质含水层内地下水流的复杂动力学。为了实现这一目标，该研究利用了 2D Boussinesq 方程，该方程通过精心定义的边界条件进行了增强，以更准确地反映真实世界的场景。积分变换技术 （ITT） 用于推导出一个解析解，该解决方案整合了可变降雨补给、含水层倾角和固有异质性的影响。该分析模型有效地捕获了空间和时间上不同的补给动态，有助于更好地理解和管理地下水系统。本文提出了一个新的分析框架，对自然因素如何影响多孔介质的行为提供了更深入的见解，从而为可持续的水资源管理提供战略参考。