Semi-analytical solutions for transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

Feng, Qilin; Liu, Zhenwu; Zhan, Hongbin

doi:10.1016/j.jhydrol.2021.126329

Cited by 13 publications

(9 citation statements)

References 40 publications

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“…Assuming the uniform flux at the well screen, 1,4,36 and taking the wellbore storage into account, the well‐face boundary condition is 4 :

\begin{equation}Q = - 2\pi {r_w}\left( {l - d} \right){q_{r1}}({r_w},t) + {C_w}\frac{{\partial H}}{{\partial t}}\end{equation}

in which

{C_w} = \pi r_c^2

is wellbore storage coefficient, where r c refers to the well casing radius [L]. H denotes the drawdown inside the abstraction well [L].…”

Section: Methodsmentioning

confidence: 99%

“…Equations (36a-c) are the solution of Moench 4 including wellbore storage and well skin for full Darcy flow toward a partially penetrating well in a non-leaky confined aquifer. Note that the corresponding solution with neglecting skin effect can be obtained by setting S k = 0 in Equation (36). Note: "Y" and "N" designates "Yes" and "No," respectively.…”

Section: 32mentioning

confidence: 99%

“…Assuming the uniform flux at the well screen, 1,4,36 and taking the wellbore storage into account, the well-face boundary condition is 4 :…”

Section: Mathematical Statementmentioning

confidence: 99%

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Two‐region flow caused by pumping at a partial penetration well in a leaky confined aquifer

Feng

2023

Num Anal Meth Geomechanics

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An analytical model for depicting two‐region flow caused by constant‐rate pumping at a partially penetrating well in a leaky confined aquifer is established. The two‐region flow is described by the radial Izbash non‐Darcy flow in the vicinity of the abstraction well and Darcy flow away from the abstraction well in the pumped aquifer. The model considers the effects of aquitard storage, wellbore storage, and wellbore skin. The semi‐analytical solutions of drawdown are developed by means of a linearization procedure combined with Laplace transform and separation of variables. The time‐domain drawdowns are then obtained by using the Stehfest method for numerical Laplace inversion. The solutions encompass previous solutions for one or two‐region flow to a partially penetrating well in a (non‐)leaky confined aquifer. The drawdown response in the abstraction well, non‐Darcy region, and Darcy region is investigated, and sensitivity analysis is made to assess the impact of various controlling parameters. The results demonstrate that the intermediate and late‐stage drawdowns in the abstraction well and non‐Darcy region for the two‐region flow model are larger than the corresponding values for the non‐Darcy flow model. The drawdown in the Darcy region for the two‐region flow model is larger than that for the Darcy flow model throughout the pumping duration. The results of sensitivity analysis show that the drawdowns in the abstraction well, non‐Darcy region, and Darcy region are most sensitive to the non‐Darcy constant n, and is very sensitive to the well configuration, and horizontal hydraulic conductivity of the Darcy region.

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“…Assuming the uniform flux at the well screen, 1,4,36 and taking the wellbore storage into account, the well‐face boundary condition is 4 :

\begin{equation}Q = - 2\pi {r_w}\left( {l - d} \right){q_{r1}}({r_w},t) + {C_w}\frac{{\partial H}}{{\partial t}}\end{equation}

in which

{C_w} = \pi r_c^2

is wellbore storage coefficient, where r c refers to the well casing radius [L]. H denotes the drawdown inside the abstraction well [L].…”

Section: Methodsmentioning

confidence: 99%

Section: 32mentioning

confidence: 99%

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Two‐region flow caused by pumping at a partial penetration well in a leaky confined aquifer

Feng

2023

Num Anal Meth Geomechanics

Self Cite

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“…The increasing development of drywells has driven the development of simpler models, such as semi-analytical solutions (Feng et al, 2019(Feng et al, , 2021Liang et al, 2018). For example, Liang et al (2018) developed an inclusive model, deriving their solution in the Laplace domain.…”

Section: 1029/2022wr033554mentioning

confidence: 99%

“…The increasing development of drywells has driven the development of simpler models, such as semi‐analytical solutions (Feng et al., 2019, 2021; Liang et al., 2018). For example, Liang et al.…”

Section: Introductionmentioning

confidence: 99%

A Wetting‐Front Model for Vadose Zone Infiltration via Drywells

Moreno

Paster²,

Kamai

2023

Water Resources Research

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Artificial recharge is the process of augmenting an aquifer by water via engineered systems (Bouwer, 2002;Dillon et al., 2019). In such systems, surface water are directed into the ground for infiltrating through the vadose zone toward the groundwater. Additionally, artificial recharge can aid in reduction of surface flows and ensuing risks related to stormwater and their overloading of water drainage systems. Such issues are becoming significant, especially in urban areas where vegetated land use is gradually being replaced by impervious surfaces such as roofs, pavements and roads. During precipitation events, these impervious surfaces may increase the amount of municipal rainwater drainage. Such an increase may cause the water drainage systems to reach their capacity limits (Cimorelli et al., 2016). Furthermore, these are enhanced to even more extreme situations in regions affected by intense stormwater flooding, under specific climates and the occurring changes in precipitation frequencies and extreme events that are intensifying. Specifically, one example is Mediterranean climate. Climate models indicate that extreme events of high precipitation are likely to increase in frequency, magnitude, and duration in the Mediterranean area due to climate change (Alpert et al., 2008). Hence, developed urban areas in these regions are more likely to encounter frequent flooding in the near future (Alphan, 2021;Benassi et al., 2020;Paliaga et al., 2020). In many cases, the cost of increasing the capacity of existing drainage systems is extremely high. Alternatively, artificial recharge may be a favorable solution.One common approach for artificial recharge is infiltration via drywells, which are wells that partially penetrate the vadose zone, and are sometimes referred to as recharge shafts, vadose zone wells, soakaways, and soakwells (Bouwer, 2002;Edwards et al., 2016). Practically, drywells are gravity-fed boreholes that are constructed in the unsaturated zone. In a typical setup, rainwater (e.g., from rooftop drainage systems) are discharged into the drywell through an inlet pipe. The discharged water begins to fill the drywell while percolating into its surrounding subsurface and toward the groundwater. In more advanced designs, an outlet pipe is installed at the top of the drywell, such that excess (overflow) water are directed to a subsequent drywell or a municipal drainage system. Compared to recharge basins and trenches for artificial recharge, drywells are significantly more efficient due to their smaller footprint area and relatively lower construction cost. Consequently, in dense urban areas where land is a major limit and municipal drainage systems are limited in their capacity to sustain such water loads, drywells are often preferred by practitioners over other solutions.

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Evaluation of dewatering-induced hydraulic and ground responses of thick multi-aquifer sandy strata without aquitards

Fan,

Tan,

Tang

et al. 2023

Environ Earth Sci

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Semi-analytical solutions for transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

Cited by 13 publications

References 40 publications

Two‐region flow caused by pumping at a partial penetration well in a leaky confined aquifer

Two‐region flow caused by pumping at a partial penetration well in a leaky confined aquifer

A Wetting‐Front Model for Vadose Zone Infiltration via Drywells

Evaluation of dewatering-induced hydraulic and ground responses of thick multi-aquifer sandy strata without aquitards

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