Approximate analysis of three-dimensional groundwater flow toward a radial collector well in a finite-extent unconfined aquifer

Huang, Ching‐Sheng; Chen, J. J.; Yeh, Hund‐Der

doi:10.5194/hess-20-55-2016

Cited by 14 publications

(4 citation statements)

References 46 publications

(59 reference statements)

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“…Other models of aquifers admit horizontal wells and have been developed for draining, which have been increasingly common, such as in the works of Hantush and Papadopoulos (1962), Zhan and Zlotnik (2002), Chen et al (2003), Zhan and Park (2003), Sun and Zhan (2006), Huang et al (2011), Huang et al (2012a), and Huang et al (2016).…”

Section: Introductionmentioning

confidence: 99%

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Silva

Quaresma

Macêdo

et al. 2021

Journal of Hydrology and Hydromechanics

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Analytical or hybrid numerical-analytical solutions based on the Generalized Integral Transform Technique (GITT) are obtained for the transient three-dimensional pumping problem of aquifers with a fully penetrating vertical well between two parallel streams. The problem formulation for confined and leaky aquifers allows for achieving exact analytical solutions through integral transforms, while the unconfined aquifer case introduces a fourth kind boundary condition which leads to a coupled transformed head ordinary differential system, that can be solved either analytically or numerically. A convergence analysis is performed to illustrate the consistency of the numerical results achieved for the head distribution, as well as for the related pumping rates. Results are obtained for selected cases and comparisons with literature results are performed. A solution verification confirms the agreement of the integral transform solutions with available simulations and provides additional confidence for the analysis of a few physical parameters that influence the hydrological behavior.

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Section: Introductionmentioning

confidence: 99%

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Silva

Quaresma

Macêdo

et al. 2021

Journal of Hydrology and Hydromechanics

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“…Kacimov et al (2016) used the Strack-Chernyshov model to investigate the unconfined groundwater flows in wedge-shaped promontories with accretion along the water table and outflow from a groundwater mound into draining rays. Huang et al (2016) presented 3-D analytical solutions for hydraulic head distributions and SDRs induced by a radial collector well in a rectangular confined or unconfined aquifer bounded by two parallel streams and no-flow boundaries. Currently, the distribution of groundwater-flow velocity in a circular meniscus aquifer was investigated analytically by the theory of holomorphic functions and numerically by FEM (Kacimov et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Lin¹,

Chang²,

Yeh³

2018

Hydrol. Earth Syst. Sci.

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Abstract. Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario for numerical studies was reported in Kihm et al. (2007). The water level of the streams is assumed to be linearly varying with distance. The aquifer is divided into two subregions and the continuity conditions of the hydraulic head and flux are imposed at the interface of the subregions. The steady-state solution describing the head distribution for the model without pumping is first developed by the method of separation of variables. The transient solution for the head distribution induced by pumping is then derived based on the steady-state solution as initial condition and the methods of finite Fourier transform and Laplace transform. Moreover, the solution for stream depletion rate (SDR) from each of the two streams is also developed based on the head solution and Darcy's law. Both head and SDR solutions in the real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW is chosen to compare with the proposed head solution for the L-shaped aquifer. The steady-state and transient head distributions within the L-shaped aquifer predicted by the present solution are compared with the numerical simulations and measurement data presented in Kihm et al. (2007).

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“…With significant advances in directional drilling technology over the last 20 years, the interest in horizontal and/or slant wells has been reignited. Until now, flow to horizontal and/or slant wells has been investigated in various aspects, including flow in confined aquifers (Cleveland, 1994;Zhan, 1999;Zhan et al, 2001;Kompani-Zare et al, 2005), unconfined aquifers (Huang et al, 2011(Huang et al, , 2016Rushton and Brassington, 2013;Zhan and Zlotnik, 2002;Mohamed and Published by Copernicus Publications on behalf of the European Geosciences Union. 1252 X.…”

Section: Introductionmentioning

confidence: 99%

On Coupled Unsaturated-Saturated Flow Process Induced by Vertical, Horizontal and Slant Wells in Unconfined Aquifers

Liang¹,

Zhan²,

Zhang³

et al. 2016

Preprint

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Abstract. Conventional models of pumping tests in unconfined aquifers often neglect the unsaturated flow process. This study concerns coupled unsaturated-saturated flow process induced by vertical, horizontal, and slant wells positioned in an unconfined aquifer. A mathematical model is established with special consideration of the coupled unsaturated-saturated flow process and well orientation. Groundwater flow in the saturated zone is described by a three-dimensional governing equation, and a linearized three-dimensional Richards' equation in the unsaturated zone. A solution in Laplace domain is derived by the Laplace-finite Fourier transform and the method of separation of variables. It is found that the unsaturated zone has significant effects on the drawdown of pumping test with any angle of inclination of the pumping well, and this impact is more significant for the case of a horizontal well. The effects of unsaturated zone on the drawdown are independent of the length of the horizontal well screen. For the early time of pumping, the water volume drained from the unsaturated zone (W) increases with time, and gradually approaches an asymptotic value with time progress. The vertical well leads to the largest W value during the early time, and the effects of the well orientation become insignificant at the later time. The screen length of the horizontal well does not affect W for the whole pumping period. The proposed solutions are useful for parameter identification of pumping tests with a general well orientation (vertical, horizontal, and slant) in unconfined aquifers affected from above by the unsaturated flow process.

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Approximate analysis of three-dimensional groundwater flow toward a radial collector well in a finite-extent unconfined aquifer

Cited by 14 publications

References 46 publications

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Integral transforms for three-dimensional pumping in confined, leaky, and unconfined aquifers

Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

On Coupled Unsaturated-Saturated Flow Process Induced by Vertical, Horizontal and Slant Wells in Unconfined Aquifers

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