An analytical solution for water-table fluctuation in a finite aquifer due to transient recharge from a strip basin

N., S.; Singh, R. N.

doi:10.1007/bf00877387

Cited by 10 publications

(7 citation statements)

References 9 publications

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“…Equation (19) is identical to Equation (16) of Rao and Sarma (1983 Two examples of water table fluctuations in a finite aquifer as a result of time varying recharge from an overlying strip basin are considered in order to test the validity of the solution and to demonstrate its application in the prediction of water table fluctuation. The first example is similar to that of Rai and Singh (1995). They have considered an exponentially decaying recharge rate defined as P 1 C P 2 exp rt , in which P 1 C P 2 is the initial rate of recharge and r is the decay constant.…”

Section: Solution For Constant Rate Of Rechargementioning

confidence: 99%

“…Numerical values of other controlling parameters are A D 2000 m, h 0 D 50 m, X 1 D 990 m, X 2 D 1010 m, K D 8 m/day and S D 0Ð3. A comparison of the water table profile for exponentially decaying recharge rate computed by using Equation (19) of Rai and Singh (1995) with the profile computed by using Equation (17) for the corresponding recharge rate approximated by the three linear elements at t D 30 days is presented Figure 2b. It is evident from the figure that both profiles are a good match.…”

Section: Solution For Constant Rate Of Rechargementioning

confidence: 99%

“…Zomorodi (1991) has shown that the solutions based on the assumption of constant recharge rate have failed to predict the decline of the water table, which results from the decrease in the recharge rate. Rai and Singh (1995) have presented an analytical solution to predict the water table fluctuations in a finite aquifer in response to time varying recharge applied from an overlying strip basin. The rate of recharge is approximated by an exponential function.…”

Section: Introductionmentioning

confidence: 99%

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Modelling of groundwater mound formation resulting from transient recharge

Ramana

Thiagarajan

et al. 2001

Hydrological Processes

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Abstract:An analytical solution of a linearized Boussinesq equation is obtained to predict water table fluctuations as a result of time varying recharge from a strip basin for any number of recharge cycles. The analytical solution is obtained by using finite Fourier sine transform. Applications of the solution for the prediction of water table fluctuations and sensitivity analysis are demonstrated with the help of example problems.

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Section: Solution For Constant Rate Of Rechargementioning

confidence: 99%

Section: Solution For Constant Rate Of Rechargementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modelling of groundwater mound formation resulting from transient recharge

Ramana

Thiagarajan

et al. 2001

Hydrological Processes

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“…The linearized Boussinesq equation has been broadly accepted to predict the rise and decline of groundwater mounds in response to spatiotemporal varying recharge patterns (Rai and Singh 1998;Manglik and Rai 2000;Mahdavi 2015). However, linearization is known to set a limit on the amplitude of water table fluctuations (Hantush 1964), but it greatly simplifies the mathematical treatment and dynamic effects of various external forcings can be superimposed (Manglik et al 2013).…”

Section: Introductionmentioning

confidence: 99%

Response of Triangular-Shaped Leaky Aquifers to Rainfall-Induced Groundwater Recharge: an Analytical Study

Mahdavi

2019

Water Resour Manage

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Different aspects of groundwater mound dynamics in triangular-shaped aquifers are investigated analytically under spatially uniform recharge of time-varying rate. The aquifer response is analyzed relying on 2-D linearized Boussinesq equation, subject to two different configurations of hydrogeological boundary conditions (constant-head streams and no-flow barrier). The aquifer is homogeneous, isotropic and rests over a horizontal, semipervious layer, through which vertical leakage can take place. Point-recharge formula (Green's function) is first derived for the intended aquifer domain and then properly converted to accommodate the effect of rainfall-induced areal recharge. Components of groundwater budget are evaluated in terms of volumetric rates, taking into account the jointed effects of leakage, mound storage and outflow to adjacent streams. The resulting expressions are then proven to obey the expected mass balance in a rigorous mathematical fashion. Hypothetical examples illustrating main features of flow field are presented, with attention paid on groundwater equpotentials and streamlines. The computed mound profiles appear to agree well with numerical results from finite element method. Further, the most influential parameters affecting each component of groundwater budget are identified with the help of sensitivity analysis. Finally, the combined effects of a pumping well and rainfall-induced mound are discussed. The present solution may serve as a test case for verifying numerical schemes that are being developed for more comprehensive mound analysis.

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“…Two‐dimensional solutions for rectangular (and sometimes circular) infiltration basins feeding unconfined aquifers with horizontal bases have been common tools for approximating spatiotemporal properties of mounds (Hantush ; Marino ; Bochever ; Manglik and Rai , ; Rai and Singh ; Bouwer ; Rai ; Zlotnik ; Ghosh et al ). For MAR applications in aquifers with sloping bases, such solutions are absent, although both nonlinear and linearized groundwater flow equations have been explored in theoretical studies of aquifer responses, largely in steady‐state or one‐dimensional systems (e.g., Troch et al ; Brutsaert ; Basha and Maalouf ; Chapman ; Bogaart et al , Bansal et al ).…”

Section: Introductionmentioning

confidence: 99%

Estimating Groundwater Mounding in Sloping Aquifers for Managed Aquifer Recharge

2017

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Design of managed aquifer recharge (MAR) for augmentation of groundwater resources often lacks detailed data, and simple diagnostic tools for evaluation of the water table in a broad range of parameters are needed. In many large-scale MAR projects, the effect of a regional aquifer base dip cannot be ignored due to the scale of recharge sources (e.g., wadis, streams, reservoirs). However, Hantush's (1967) solution for a horizontal aquifer base is commonly used. To address sloping aquifers, a new closed-form analytical solution for water table mound accounts for the geometry and orientation of recharge sources at the land surface with respect to the aquifer base dip. The solution, based on the Dupiuit-Forchheimer approximation, Green's function method, and coordinate transformations is convenient for computing. This solution reveals important MAR traits in variance with Hantush's solution: mounding is limited in time and space; elevation of the mound is strongly affected by the dip angle; and the peak of the mound moves over time. These findings have important practical implications for assessment of various MAR scenarios, including waterlogging potential and determining proper rates of recharge. Computations are illustrated for several characteristic MAR settings.

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An analytical solution for water-table fluctuation in a finite aquifer due to transient recharge from a strip basin

Cited by 10 publications

References 9 publications

Modelling of groundwater mound formation resulting from transient recharge

Modelling of groundwater mound formation resulting from transient recharge

Response of Triangular-Shaped Leaky Aquifers to Rainfall-Induced Groundwater Recharge: an Analytical Study

Estimating Groundwater Mounding in Sloping Aquifers for Managed Aquifer Recharge

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