Department of Earth Sciences, Shiraz University, Shiraz, Iran.
Laboratoire de technologie écologique (ECOL), Institut des sciences et technologies de l'environnement (IIE), Faculté de l'environnement naturel, architectural et construit (ENAC), Ecole polytechnique fédérale de Lausanne (EPFL), Lausanne, Switzerland.
PLoS One. 2020 Mar 5;15(3):e0229767. doi: 10.1371/journal.pone.0229767. eCollection 2020.
Capture zone equations for a multi-well system in strip-shaped confined and unconfined aquifers with and without regional flow are presented. The aquifer is limited by two parallel boundaries that are either no flow (barrier) or inflow (variable head) so that aquifers with four possible boundary configurations are formed. The wellfield includes any number of extraction or injection wells or a combination of both types. The flow field in the strip-shaped aquifer was converted to its equivalent extensive aquifer using conformal mapping and image well methods. To delineate the capture envelope, the potential, streamline and stagnation point equations were derived using velocity potential theory. The solution permits rapid determination of the effect of number, position and extraction/injection rate of wells, boundary type and direction, and rate of regional flow on the size, shape and pattern of well capture zones. The derived equations are readily extended to water quality and quantity management simulations, as shown by embedding the equations within two optimization schemes, viz., Particle Swarm Optimization (PSO) and Genetic Algorithm (GA), to automatically determine the most efficient wellfield designs for pump-and-treat remediation, contaminant plume containment and pumping policy projects.
本文提出了具有和不具有区域流动的条形有限和无限含水层多井系统的捕获区方程。含水层受两条平行边界限制，这些边界要么是无流动（阻挡），要么是流入（可变水头），从而形成了具有四种可能边界配置的含水层。井场包括任意数量的抽取或注入井，或两者的组合。使用共形映射和镜像井方法将条形含水层中的流场转换为等效的扩展含水层。为了描绘捕获包络，使用速度势理论推导了势、流线和驻点方程。该解决方案可快速确定井的数量、位置和抽取/注入速率、边界类型和方向以及区域流动速率对井捕获区的大小、形状和模式的影响。所得到的方程可以很容易地扩展到水质和数量管理模拟中，如图所示，通过将方程嵌入到两个优化方案中，即粒子群优化（PSO）和遗传算法（GA）中，以自动确定用于泵和处理修复、污染物羽流控制和抽水政策项目的最有效井场设计。
