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Artificial aquifer recharge and pumping: transient analytical solutions for hydraulic head and impact on streamflow rate based on the spatial superposition method
Hydrogeology Journal ( IF 2.4 ) Pub Date : 2021-02-19 , DOI: 10.1007/s10040-020-02294-9
Benoît Dewandel , Sandra Lanini , Vivien Hakoun , Yvan Caballero , Jean-Christophe Maréchal

The behaviour of transient groundwater mounds in response to infiltration from surface basins has been studied for decades, but some common settings still lack analytical solutions. It has been shown that applying mathematical integration to the line-sink solution developed by Hantush in the 1960s for pumping an unconfined aquifer, considering recharge over the surface of a defined area, is identical to his solution for groundwater mounding below a rectangular basin. This implies that the superposition principle can, generally, be used to directly include pumping wells, as well as aquifer boundaries, to derive a unique solution. Moreover, other line-sink solutions can be used with a spatial superposition method for addressing a variety of hydrogeological settings, provided the behaviour of the relevant partial differential equations is linear. Based on this principle and on existing line-sink solutions, several analytical solutions are proposed that are able to consider a rectangular recharging area and a pumping well in an unconfined aquifer: (1) near a stream, (2) between a stream and a no-flow boundary, with and without the influence of natural recharge, (3) near a stream that partially penetrates an aquifer and (4) for a multi-layer aquifer. For cases including streams, transient solutions of the impact on streamflow rate are also presented. The proposed analytical solutions will be of practical use for managed aquifer recharge, in particular the design of structures for artificially recharging an aquifer, possibly pumped by one or several wells.



中文翻译:

人工含水层补给和抽水:基于空间叠加法的水力压头瞬态解析解及其对水流速率的影响

几十年来,研究了瞬态地下水丘响应地表盆地入渗的行为,但一些常见的环境仍然缺乏分析解决方案。研究表明,将数学积分应用于汉图什(Hantush)在1960年代开发的用于抽取无限制含水层的水槽解决方案时,考虑到在限定区域的表面上进行补给,这与他对矩形盆地下的地下水ound的解决方案相同。这意味着通常可以使用叠加原理直接包括抽水井以及含水层边界,以得出唯一的解决方案。此外,如果相关偏微分方程的行为是线性的,则其他线槽解决方案可与空间叠加方法一起使用,以解决各种水文地质问题。基于此原理和现有的线槽解决方案,提出了几种能够考虑矩形补给面积和无侧限含水层中的抽水井的分析解决方案:(1)溪流附近,(2)溪流与水之间。无流动边界,有和没有自然补给的影响,(3)在部分渗透含水层的水流附近,(4)多层含水层。对于包括河流的情况,还提出了对河流流速影响的瞬态解决方案。拟议的分析解决方案将用于管理含水层补给,特别是用于人工补给含水层(可能由一口或多口井抽水)的结构设计。提出了几种能够考虑矩形补给区和无限制含水层中的抽水井的分析解决方案:(1)在溪流附近,(2)在溪流和无流量边界之间,有无自然因素的影响补给,(3)在部分渗透含水层的水流附近,(4)用于多层含水层。对于包括河流的情况,还提出了对河流流速影响的瞬态解决方案。拟议的分析解决方案将用于管理含水层补给,特别是用于人工补给含水层(可能由一口或多口井抽水)的结构设计。提出了几种能够考虑矩形补给区和无限制含水层中的抽水井的分析解决方案:(1)在溪流附近,(2)在溪流和无流量边界之间,有无自然因素的影响补给,(3)在部分渗透含水层的水流附近,(4)用于多层含水层。对于包括河流的情况,还提出了对河流流速影响的瞬态解决方案。拟议的分析解决方案将用于管理含水层补给,特别是用于人工补给含水层(可能由一口或多口井抽水)的结构设计。(3)在部分穿透含水层的水流附近,(4)用于多层含水层。对于包括河流的情况,还提出了对河流流速影响的瞬态解决方案。拟议的分析解决方案将用于管理含水层补给,特别是用于人工补给含水层(可能由一口或多口井抽水)的结构设计。(3)在部分穿透含水层的水流附近,(4)用于多层含水层。对于包括河流的情况,还提出了对河流流速影响的瞬态解决方案。拟议的分析解决方案将用于管理含水层补给,特别是用于人工补给含水层(可能由一口或多口井抽水)的结构设计。

更新日期:2021-02-19
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