Multi-well capture zones in strip-shaped aquifers

Understanding how water flows in confined and unconfined aquifers is essential for managing groundwater resources. Prior research has shown that aquifer boundaries and well configurations influence flow patterns. However, no prior work had resolved how to model capture zones in strip-shaped aquifers with variable boundary conditions. This gap motivated the development of a new method to calculate capture zones in such aquifers. Existing studies mostly focus on simple well configurations or idealized aquifer shapes. This paper's contribution lies in addressing complex boundary configurations and multi-well systems. The study introduces conformal mapping and image well methods to simplify flow calculations. These approaches allow for more accurate modeling of real-world aquifer conditions. The ability to simulate regional flow effects is a novel aspect of this work. By integrating these methods, the study advances groundwater management strategies.

The study aimed to develop capture zone equations for multi-well systems in strip-shaped aquifers. These aquifers have two parallel boundaries that may be no-flow or variable head. The goal was to understand how well configurations affect capture zones. The researchers focused on both extraction and injection wells in the same system. They also considered the impact of regional flow on capture zone shapes. The purpose was to provide a rapid and flexible tool for groundwater management. The study sought to support optimization of wellfield designs for remediation and containment. The approach allows for modeling under various boundary and flow conditions.

The researchers used conformal mapping and image well methods to simplify the aquifer geometry. These techniques transformed the strip-shaped aquifer into an equivalent extensive aquifer. They derived equations for potential, streamlines, and stagnation points using velocity potential theory. The solution accounts for different boundary conditions and regional flow directions. The study considered four boundary configurations: no-flow and variable head on both sides. The wellfield could include any number of extraction or injection wells. The equations were integrated into optimization algorithms like PSO and GA. These methods helped determine optimal wellfield designs for remediation and containment.

The derived equations accurately describe capture zones in strip-shaped aquifers. The study found that boundary type and regional flow direction significantly affect capture zone shapes. The number and placement of wells influence the size and pattern of capture zones. Injection and extraction wells can be combined in the same system for optimized performance. The model allows rapid assessment of different well configurations. The capture envelope can be delineated using potential and streamline equations. The solution was validated through comparisons with known flow patterns. The equations were successfully embedded in PSO and GA optimization frameworks.

The study demonstrated that the derived equations can model capture zones in strip-shaped aquifers. The equations account for various boundary conditions and regional flow effects. The approach allows for rapid evaluation of well configurations and flow parameters. The results suggest that the model is suitable for water quality and quantity management. The integration with optimization algorithms enhances its practical application. The study confirms that the model supports pump-and-treat remediation and plume containment. The findings align with the authors' goal of providing a flexible groundwater management tool. The study does not claim broader implications beyond the stated objectives.