Analytical solutions for stream‐aquifer flow exchange under varying head asymmetry and river penetration: Comparison to numerical solutions and use in regional groundwater models

Miracapillo, Cinzia; Morel‐Seytoux, Hubert J.

doi:10.1002/2014wr015456

Cited by 21 publications

(24 citation statements)

References 26 publications

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“…There was no significant difference of mixing ratios under three different drawdowns due to the increasing capacity of both the infiltrated river water and the groundwater. It could be explained by water balance equation and Darcy's equation (Miracapillo & Morel‐Seytoux, ). As the total well yield increased, the drawdown increased, which led to an increase in hydraulic gradient on both sides of the pumping well (Figure ).…”

Section: Discussionmentioning

confidence: 99%

The impact of well drawdowns on the mixing process of river water and groundwater and water quality in a riverside well field, Northeast China

Zhu

Zhai

et al. 2019

Hydrological Processes

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Riverbank filtration (RBF) has been widely used throughout the world as an effective means to regulate surface water and groundwater resources and pretreat raw water for municipal water supply. The quality of the water from a riverside well field and the mixing ratios of surface water and groundwater is primarily impacted by the hydrodynamic processes in the RBF system. The RBF system is largely controlled by the water exploiting system in addition to the natural hydrologic condition of the river–aquifer system. As one of the most important design parameters of the riverside well field, the drawdown of groundwater level greatly determines the water head differences between the river water and groundwater as well as the field flow net, which subsequently impacts the mixing of river water and groundwater and water quality significantly. This study aimed to improve the understanding of the mixing process between the surface water and groundwater and estimate the impact of the RBF on the mixing ratio of surface water–groundwater and water quality quantitatively. A set of field pumping tests with various groundwater level drawdowns were carried out independently and successively at a riverside field with a single pumping well near the Songhua River in Northeast China in August 2017. During these tests, the water levels and hydrochemical parameters of the Songhua River, the adjacent aquifer, and the pumping well were monitored. The dynamic mixing process of the river water and groundwater and water quality under various drawdown conditions were analysed systematically using analytical methods. The results obtained from Dupuit method and the Mirror Image method in conjunction with the Hydrochemical Tracing method showed that the pumping water directly from the river water reached 60% ± 10% after a steady flow net was established. The larger the proportion of the pumping water captured from the river, the better quality of the pumping water was, because the quality of the river water (only limited to some water quality parameters monitored which were minority) was better than that of the groundwater. The results also showed that total Fe, TDS, total hardness, CODMn, and K+ were relatively sensitive to the changes of groundwater drawdown, and their concentrations decreased with an increase in the groundwater drawdown. It can be concluded that both the mixing ratio of the surface water and the groundwater and the water quality of the riverside well field can be regulated through adjusting the designed drawdown of the groundwater level, which is helpful for the design and the optimization of the riverside well water intake engineering.

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Section: Discussionmentioning

confidence: 99%

The impact of well drawdowns on the mixing process of river water and groundwater and water quality in a riverside well field, Northeast China

Zhu

Zhai

et al. 2019

Hydrological Processes

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“…First one must evaluate the isotropic value of Γ for a rectangular cross section with same normalized wetted perimeter and degree of penetration as the actual cross section of the river for the isotropic standard far distance from the river bank. Using the provided equations and tables (Morel‐Seytoux et al or Miracapillo and Morel‐Seytoux ) one estimates

Γ_{i s o}^{rect}

to be 0.4444. However, this is an estimate for the isotropic standard far distance from river bank which in this case is 20 m. We want the value of that isotropic conductance for a far distance from river bank which is 89.29 m. One must therefore use the “distance extension” formula (Morel‐Seytoux ) for a value of Δ which is 89.29 − 20 = 69.29.…”

Section: Step By Step Procedures and Numerical Examplesmentioning

confidence: 99%

“…1. Using the provided equations and tables (Morel-Seytoux et al 2014 or Miracapillo and one estimates rect iso to be 0.4444. However, this is an estimate for the isotropic standard far distance from river bank which in this case is 20 m. 2.…”

Section: Step By Step Procedures and Numerical Examplesmentioning

confidence: 99%

“…A different choice for the location of h a has been presented and recommended (Morel-Seytoux 2009;Miracapillo and Morel-Seytoux 2014;Morel-Seytoux et al 2014). It has been proposed that the location be at a so-called "far (enough) distance" so that by that location the flow is essentially horizontal and the Dupuit-Forchheimer approximation holds.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

River Seepage Conductance in Large‐Scale Regional Studies

Morel‐Seytoux¹,

Miller²,

Miracapillo³

et al. 2016

Groundwater

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Flow exchange between surface and groundwater is of great importance be it for beneficial allocation and use of water resources or for the proper exercise of water rights. In large-scale regional studies, most numerical models use coarse grid sizes, which make it difficult to provide an accurate depiction of the phenomenon. In particular, a somewhat arbitrary leakance coefficient in a third type (i.e., Cauchy, General Head) boundary condition is used to calculate the seepage discharge as a function of the difference of head in the river and in the aquifer, whose value is often found by calibration. A different approach is presented to analytically estimate that leakance coefficient. It is shown that a simple equivalence can be deduced from the analytical solution for the empirical coefficient, so that it provides the accuracy of the analytical solution while the model maintains a very coarse grid, treating the water-table aquifer as a single calculation layer. Relating the empirical leakance coefficient to the exact conductance, derived from physical principles, provides a physical basis for the leakance coefficient. Factors such as normalized wetted perimeter, degree of penetration of the river, presence of a clogging layer, and anisotropy can be included with little computational demand. In addition the river coefficient in models such as MODFLOW, for example, can be easily modified when grid size is changed without need for recalibration.

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“…The study on the RWS could be carried out in a number of ways, and the recharge rate of infiltration captured from the river water was usually determined through productive experiments in the early stage [17], which could provide a basis for the determination of the well location. Later, the iterative moving subdomain method [18] and fuzzy comprehensive evaluation model [19] based on the basic theory of fuzzy mathematics; were introduced to optimize the layout of pumping wells. The distance between well and river and the distance between wells could be determined by using the phreatic well equation of linear-arranged interferential well group [20], and the distance between well and river value could also be furtherly minimized by coupling riverbank filtration and reverse osmosis [21].…”

Section: Introductionmentioning

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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Analytical solutions for stream‐aquifer flow exchange under varying head asymmetry and river penetration: Comparison to numerical solutions and use in regional groundwater models

Cited by 21 publications

References 26 publications

The impact of well drawdowns on the mixing process of river water and groundwater and water quality in a riverside well field, Northeast China

The impact of well drawdowns on the mixing process of river water and groundwater and water quality in a riverside well field, Northeast China

River Seepage Conductance in Large‐Scale Regional Studies

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

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