Three-dimensional response to a partially penetration well pumping in a general anisotropic three-layer aquifer system

Feng, Qilin; Luo, Yan; Zhan, Hongbin

doi:10.1016/j.jhydrol.2020.124850

Cited by 9 publications

(5 citation statements)

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“…(2020), Feng et al (2019Feng et al ( , 2020, Feng and Zhan (2015, 2016, Hantush (1960Hantush ( , 1964,  Hemker and Maas (1987), Hunt (2005), Moehch (1985, Neuman and Witherspoon (1969),  Sepúlveda (2008), Wang et al (2015) and Wen et al (2011Wen et al ( , 2013…”

Section: mentioning

confidence: 99%

Three-dimensional transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

Feng

2020

Preprint

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Abstract. A general analytical model for three-dimensional flow in a three-layered aquifer system with a partial penetration well having a variable discharge of pumping is developed by taking account of the interface flow on the adjacent layers. This general three-layer system includes the conventional aquitard-aquifer-aquitard system as a subset and does not require that the permeability contrasts of different layers must be greater than a few orders of magnitude, and does not ignore any flow components (either vertical or horizontal) in any particular layer. The pumping well of infinitesimal radius is screened at any portion of the middle layer. Three widely used top and bottom boundary conditions are considered that can be specified as a constant-head boundary (Case1) or a no-flux boundary (Case 2), and a constant-head boundary at the top in combination with a no-flux boundary at the bottom (Case 3). Laplace domain solutions for dimensionless drawdown are obtained by the use of Hankel transformation, and associated time-domain solutions are evaluated numerically. The newly obtained solutions include some available solutions for two- or single-layer aquifer systems as subsets. The drawdowns for individual layers caused by a well with an exponentially decreased discharge are explored as an example of illustration. The results indicate that the pumped layer drawdown close to the partially penetrated well is mainly influenced by the variable pumping rate. The late-time drawdowns for all layers are remarkably affected by the chosen types of top and bottom boundary conditions, and the drawdown for Case 3 is greater than that for Case 1 and smaller than that for Case 2. Additionally, the effect of the pumped layer anisotropy on drawdowns in the three-layer system is significant, and the anisotropy of the unpumped layers significantly affects the drawdown in the whole aquifer system without large contrast of hydraulic conductivity between the unpumped layers and the pumped layer. The drawdowns in all three layers are greatly affected by the location and length of well screen, and a larger drawdown can be seen at the position that is closer to the middle point of the screen of the partially penetrating pumping well.

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Section: mentioning

confidence: 99%

Three-dimensional transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

Feng

2020

Preprint

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“…Diffusion, being a common transport phenomenon, manifests in hydrology as a pressure diffusion (Cihan et al., 2011; Feng et al., 2020), heat conduction, and molecular diffusion. The mathematical treatment of these processes shares the same approach.…”

Section: Introductionmentioning

confidence: 99%

“…Classical analytical solutions, published in‐between, can be categorized by the assumptions made either to simplify the geometry or to ease the mathematical treatment required by the actual physical problem. The assumptions, that narrows down the breadth of applicability, are (a) strictly vertical flow in the caprock/aquitard or strictly horizontal flow in the storage/production layer (Chabora & Benson, 2009; Feng & Zhan, 2015; Hantush & Jacob, 1955; Moench, 1985; Neuman & Witherspoon, 1969a, 1969b) (b) line source approximation at the inner boundary (Feng et al., 2020; Javandel & Witherspoon, 1983; Malama et al., 2007) (c) applying volumetric sink/source term into the governing equations to represent the inter‐formation connectivity (Zhan & Bian, 2006) (d) boundedness of the considered physical domain (Dejam & Hassanzadeh, 2018a, 2018b). First, the assumption of vertical flow greatly simplifies the mathematics while restricting the range of applicability.…”

Section: Introductionmentioning

confidence: 99%

“…Such an understanding warrants a well representative mathematical model that would be easily executable and more general in nature. Diffusion, being a common transport phenomenon, manifests in hydrology as a pressure diffusion (Cihan et al, 2011;Feng et al, 2020), heat conduction, and molecular diffusion. The mathematical treatment of these processes shares the same approach.…”

mentioning

confidence: 99%

“…The mathematical approach by De Glee (1930) was one of the earliest works that relate steady-state leakage of formation water into the neighboring formation. Feng et al (2020) proposed, one of the latest works in this direction, a two-dimensional coupled multilayer system where the pumping well is partially penetrated and is assumed as a line source in the mathematical formulation. Classical analytical solutions, published in-between, can be categorized by the assumptions made either to simplify the geometry or to ease the mathematical treatment required by the actual physical problem.…”

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confidence: 99%

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A Semi‐Analytical Solution to Evaluate the Spatiotemporal Behavior of Diffusive Pressure Plume and Leakage From Geological Storage Sites

Das

2021

Water Resources Research

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Large-scale storage of CO 2 into subsurface saline formations is essentially regarded as a promising tool to curb the increasing streak of anthropogenic carbon emissions and its subsequent result of global warming (IPCC, 2005). IPCC (2018) targets to restrict the warming of the atmosphere by less than  2 C by 2050 by injecting large volumes of CO 2 into carefully selected storage sites. Once injected into formations, it is expected that CO 2 remains trapped by a number of subsurface retention mechanisms such as stratigraphic trapping by a sealing caprock, capillary trapping of CO 2 in pore spaces, dissolution in the resident fluid, and adsorption onto the surfaces of organic matters (Delshad et al., 2013;IPCC, 2018;Pentland et al., 2011). However, CO 2 and resident brine can take on permeable paths and leak out to places where it poses a great potential to cause adverse effects from an environmental perspective (Lewicki et al., 2005(Lewicki et al., , 2007. Abandoned wells, faults, and caprock fractures are some of those permeable paths that are widely prevalent in subsurface storage sites (Celia & Nordbotten, 2009;Pruess, 2005;Zeidouni, 2014). The overlaying caprock itself, another possible route for leakage of brine and CO 2 , is often neglected due to its low permeability. Cihan et al. (2011) described the leakage of fluids through caprock as diffuse leakage and the leakage through permeable conduits other than the caprock itself as focused leakage.

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Determination of hydraulic conductivity and its spatial variability in the Jianghan Plain using a multi-format, multi-method approach

Xue

Wen

Zhao

et al. 2021

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Three-dimensional response to a partially penetration well pumping in a general anisotropic three-layer aquifer system

Cited by 9 publications

References 50 publications

Three-dimensional transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

Three-dimensional transient flow to a partially penetrated well with variable discharge in a general three-layer aquifer system

A Semi‐Analytical Solution to Evaluate the Spatiotemporal Behavior of Diffusive Pressure Plume and Leakage From Geological Storage Sites

Determination of hydraulic conductivity and its spatial variability in the Jianghan Plain using a multi-format, multi-method approach

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