An Image‐Well Method for Predicting Drawdown Distribution in Aquifers with Irregularly Shaped Boundaries

Kuo, M.C.T.; Wang, W. L.; Lin, D. S.; Lin, Chung Jung; Chiang, Chung-Jung

doi:10.1111/j.1745-6584.1994.tb00921.x

Cited by 20 publications

(12 citation statements)

References 4 publications

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“…In addition, the image-well method can also be applied to the case of triangle aquifers [16] and rectangle aquifers [226,227]. Other applications of image-well method can be found, such as for flow to a drain near a leaky layer [228], pumping in sloping fault zone aquifers [229], tunnel water inflow or flow toward drains [230], pumping near a constant-head linear boundary [231], quantifying stream depletion in narrow alluvial aquifers [232], the drawdown in aquifers with irregularly shaped boundaries [233], and the drawdown for pumping at a finite-diameter well in a wedge-shaped aquifer [234].…”

Section: Theory Of Image Wellmentioning

confidence: 99%

Recent advances in modeling of well hydraulics

Yeh¹,

Chang²

2013

Advances in Water Resources

129

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Section: Theory Of Image Wellmentioning

confidence: 99%

Recent advances in modeling of well hydraulics

Yeh¹,

Chang²

2013

Advances in Water Resources

129

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“…The pumped water originated from the nearby stream is commonly supplied for irrigation, municipalities, and rural homes. In stream basins with several tributaries, pumping wells are often installed adjacent to the confluence of two tributaries in fluvial aquifers (Lambs, 2004).…”

Section: Stream Filtration In Fluvial Aquifer Systemsmentioning

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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“…Chan et al [5] only considered the case of a zero-drawdown boundary, i.e., assuming the surface topography along the boundary is flat. Kuo et al [8] utilized the image-well method to predict the drawdown distribution in aquifers with irregularly shaped boundaries; however, their solutions may diverge if insufficient number and improper locations of the image wells are employed.…”

Section: Introductionmentioning

confidence: 99%