A two‐dimensional analytical solution for groundwater flow in a leaky confined aquifer system near open tidal water

Tang, Zhonghua; Jiao, Jiu Jimmy

doi:10.1002/hyp.166

Cited by 44 publications

(21 citation statements)

References 13 publications

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“…Leaky aquifer models consider flow exchanges between the main aquifer of concern and unconfined aquifers above and/or below. Jiao and Tang (, ), Tang and Jiao (), Li, Barry, and Jeng (), and Jeng, Li, and Barry () applied leaky aquifer models to coastal environments. Their results illustrated that leakage can damp out the groundwater response to tidal fluctuations compared with that in perfectly confined aquifers.…”

Section: Introductionmentioning

confidence: 99%

Groundwater response to tidal fluctuations in a leaky confined coastal aquifer with a finite length

Zhao

Wang

Hao

et al. 2019

Hydrological Processes

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The study on the hydraulic properties of coastal aquifers has significant implications both in hydrological sciences and environmental engineering. Although many analytical solutions are available, most of them are based on the same basic assumption that assumes aquifers extend landward semi‐infinitely, which does not necessarily reflect the reality. In this study, the general solutions for a leaky confined coastal aquifer have been developed that consider both finitely landward constant‐head and no‐flow boundaries. The newly developed solutions were then used to examine theoretically the joint effects of leakage and aquifer length on hydraulic head fluctuations within the leaky confined aquifer, and the validity of using the simplified solution, which assumes the aquifer is semi‐infinite. The results illustrated that the use of the simplified solution may cause significant errors, depending on joint effects of leakage and aquifer length. A dimensionless characteristic parameter was then proposed as an index for judging the applicability of the simplified solution. In addition, practical application of the general solution for the constant‐head inland boundary was used to characterize the hydraulic properties of a leaky confined aquifer using the data collected from a field site at the Seine River estuary, France, and the versatility of the general solution was further justified.

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Section: Introductionmentioning

confidence: 99%

Groundwater response to tidal fluctuations in a leaky confined coastal aquifer with a finite length

Zhao

Wang

Hao

et al. 2019

Hydrological Processes

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“…The number of solutions for two-dimensional periodic groundwater flow is much smaller. Sun [21] and Tang and Jiao [22] published solutions where the boundary condition along the straight coast is a damped Fourier series. Solutions for L-shaped aquifers were published in [23] and [24].…”

Section: Introductionmentioning

confidence: 99%

Sinusoidal pumping of groundwater near cylindrical inhomogeneities

Bakker

2008

J Eng Math

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A new analytic-element solution is presented for a well with a sinusoidal discharge pumping near cylindrical inhomogeneities. Both the transmissivity and the storage coefficient may be different inside each cylinder. The solution consists of separate series solutions inside and outside each cylinder; asymptotic expansions are presented for cases where the sinusoidal period is small and the radius and transmissivity of the cylinder are large. The complex coefficients in the series solutions are determined by requiring continuity of head and normal flow across the boundary of each cylinder resulting in a linear system of complex equations that may be solved with standard methods. The solution represents one of the few analytic solutions for two-dimensional transient groundwater flow in an aquifer with inhomogeneities. Computer implementation requires truncation of the series; machine accuracy may be reached when enough terms are used in the series solutions. The effect of cylindrical inhomogeneities on the amplitude and phase of the head are investigated. The complex behavior suggests it may be difficult to determine location and properties of cylindrical inhomogeneities from pump tests, which confirms reported difficulties of interpreting pump test results from heterogeneous aquifers.

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“…Jiao and Tang (1999) derived onedimensional analytical solution to study the influence of leakage on tidal response in a coastal leaky confined aquifer system. Tang and Jiao (2001) extended the solution by Sun (1997) for two-dimensional groundwater flow in a confined aquifer and the solution by Jiao and Tang (1999) for one-dimensional groundwater flow in a leaky confined aquifer. Ataie-Ashtiani et al (1999) used numerical model to simulate the groundwater flow in unconfined aquifers affected by periodic boundary condition.…”

Section: Introductionmentioning

confidence: 99%

A semi‐analytical solution for groundwater responses to stream‐stage variations and tidal fluctuations in a coastal aquifer

Kim

et al. 2006

Hydrological Processes

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Abstract:A two-dimensional semi-analytical solution to analyse stream-aquifer interactions in a coastal aquifer where groundwater level responds to tidal effects is presented. The conceptual model considered is a two-dimensional subsurface system with stream and coastline boundaries at right angles. The dimensional and non-dimensional boundary value problems were solved for water level in the aquifer by successive application of Laplace and Fourier transform techniques, and the results were obtained by numerical inversion of the transformed solution. The solution was then verified by reducing the solutions to one-dimensional known problems and comparing the results with those from previous studies. Hypothetical examples were used to examine the characteristics of water-level variations due to the variations in stream stage and the fluctuations in tide level. Sensitivity analysis indicated that streambed leakance has no influence over the amplitude of groundwater fluctuations, but that the effect of stream stage increases with increasing leakance. Little difference was observed in the water level for different aquifer penetration ratios with narrow stream width. Increases in streambed leakance caused increases in the effect of aquifer penetration by the stream on the water level. An increased specific yield value resulted in decreased amplitude of water fluctuations and mean water level, and showed that water-level variations due to stream and tidal boundaries are sensitive to specific yield.

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A two‐dimensional analytical solution for groundwater flow in a leaky confined aquifer system near open tidal water

Cited by 44 publications

References 13 publications

Groundwater response to tidal fluctuations in a leaky confined coastal aquifer with a finite length

Groundwater response to tidal fluctuations in a leaky confined coastal aquifer with a finite length

Sinusoidal pumping of groundwater near cylindrical inhomogeneities

A semi‐analytical solution for groundwater responses to stream‐stage variations and tidal fluctuations in a coastal aquifer

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