Analytical Solution for Well Design with Respect to Discharge Ratio

Holzbecher, Ekkehard

doi:10.1111/j.1745-6584.2012.00927.x

Cited by 7 publications

(4 citation statements)

References 13 publications

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“…The basic hydrogeology tells us that the cone of depression of the groundwater level will continually extend both in the vertical and horizontal dimensions when pumping, unless the aquifer could capture as much as water recharge relative to the water yield [41]. Thus, the cones of depression of the different pumping wells will interact with each other if the distance between wells is not far enough [42], which will inevitably affect the efficiency of the pumping wells through decreasing the water capacity of a single well [43]. However, the cost will increase considering the water supply network and the power supply line if the distance is too far, especially when the number of the pumping wells are great [44].…”

Section: Discussionmentioning

confidence: 99%

Design and Optimization of a Fully-Penetrating Riverbank Filtration Well Scheme at a Fully-Penetrating River Based on Analytical Methods

Jiang

Zhu

et al. 2019

Water

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In order to maintain the sustainable development of pumping wells in riverbank filtration (RBF) and simultaneously minimize the possible negative effects induced, it is vital to design and subsequently optimize the engineering parameters scientifically. An optimizing method named Five-Step Optimizing Method was established by using analytic methods (Mirror-Image Method, Dupuit Equation and the Interference Well Group Method, etc.) systematically in this study considering both the maximum allowable drawdown of the groundwater level and the water demand as the constraint conditions, followed by a case study along the Songhua River of northeast China. It contained three parameters (number of wells, distance between wells, and distance between well and river) for optimizing in the method, in which the well type, depth and radius were beforehand designed and fixed, without the need of optimizing. The interference between wells was found to be a decisive factor that significantly impacts the optimizing effort of all the three parameters. The distance between the well and the river was another decisive factor impacting the recharge from the river and subsequently, the well water yield. There would be more than one optional scheme sometimes in the optimized result, while it's not yet difficult in practice to single out the optimal one considering both the field setting and the water demand. The established method proved to be applicable in the case study.

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Section: Discussionmentioning

confidence: 99%

Design and Optimization of a Fully-Penetrating Riverbank Filtration Well Scheme at a Fully-Penetrating River Based on Analytical Methods

Jiang

Zhu

et al. 2019

Water

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“…Using Eq. ( 8) proposed by Holzbecher (2013), the portion of abstracted BF relative to total abstracted water can be estimated for a situation of a single well (Fig. 6).…”

Section: Ambient Groundwater Flow Gradient Factor (F G )mentioning

confidence: 99%

Methodology for evaluation of potential sites for large-scale riverbank filtration

2022

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Despite being a simple and inexpensive pretreatment technology, the cost-effectiveness of riverbank filtration (RBF) depends on complex hydrogeological and hydrogeochemical variables. One of the most important issues for decision makers regarding RBF is optimal site selection. Therefore, a methodology for multicriteria site evaluation for large-scale RBF schemes is offered. The methodology is primarily designed as a prescreening method, applied over a wide area, but can also serve as a guide for evaluating individual RBF sites. To facilitate further discussion about improvements on the methodology, the reasoning behind each relevant factor and its weight in the evaluation is presented. The methodology is divided into three sequential steps through which a site can be assessed. The first step is to establish the existence of connectivity between the river and aquifer. This is termed the essential criterion, and is a binary determination of site suitability. If the site is determined to be suitable, it is then assessed via a set of quantity criteria, which measure the aquifer capacity and amount of bank filtrate that can be effectively abstracted. Lastly, water quality criteria are assessed by means of surface-water and groundwater quality. The quantity and quality criteria form a result expressed as the site suitability index (SSI), which ranges from 0 to 1, where higher scores represent increased suitability. Finally, the methodology is applied to evaluate existing sites of large-scale RBF application as a demonstration of its applicability. The success of these existing sites is compared to the calculated SSI value and discussed.

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“…However, these studies focused on the capture zone delineation, based on groundwater flow, pumping rates and position of pumping well. Holzbecher (2013) The situation becomes more difficult if there is another contaminant source coming to the well. Usually, the contaminants reach the pumping well in riverbank filtration systems not only released from the river but also from other sources such as river or house or building that can be considered as another contaminant source.…”

Section: Introductionmentioning

confidence: 99%

Modelling Well Location Between River and Second Contaminant Source in Riverbank Filtration Systems

Mustafa,

Bahar,

Abdul Aziz

et al. 2023

ASMScJ

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Extracting water from pumping well near to river in riverbank filtration systems leads to the natural treatment for surface water. To increase the system efficiency, the well should be located at a distance from the river in which the well can produce high percentage of river water that satisfies the requirements of water quality. In case the well is located between river and a contaminant source, its location should be relocated to a suitable place between the two sources. In this article, an analytical solution is produced to specify the suitable distance of pumping well and polluted river in a riverbank filtration systems if there is a contaminant source to the present well. The analytical solution is obtained by using Green’s function. This approach is chosen because of its simplicity for solving multidimensional problems, and its flexibility to deal with arbitrary initial and boundary conditions. The model is compared with numerical one obtained by using MODFLOW software. The results indicate that the location obtained from proposed model is suitable for use to determine the well location. Additionally, the results show that increasing either the pumping rate or initial contaminant concentration leads to an increment to the distance between river well.

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Analytical Solution for Well Design with Respect to Discharge Ratio

Cited by 7 publications

References 13 publications

Design and Optimization of a Fully-Penetrating Riverbank Filtration Well Scheme at a Fully-Penetrating River Based on Analytical Methods

Design and Optimization of a Fully-Penetrating Riverbank Filtration Well Scheme at a Fully-Penetrating River Based on Analytical Methods

Methodology for evaluation of potential sites for large-scale riverbank filtration

Modelling Well Location Between River and Second Contaminant Source in Riverbank Filtration Systems

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