2001
DOI: 10.1002/hyp.222
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Modelling of groundwater mound formation resulting from transient recharge

Abstract: 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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Cited by 11 publications
(5 citation statements)
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“…The infiltrating water body ( Figure 20) will only extend to the water table during recharge, if the recharge interval is of sufficiently long duration. An extensive set of mathematical models have been developed (e.g., [58,61,62,64]) to allow these groundwater mounds to be determined under conditions of constant recharge or variable recharge. These groundwater mound models apply to a variety of infiltration environments, including disposal of storm water (e.g., [65]) and the analysis of mires [66].…”
Section: Comparison Of Observed Results With a Traditional Groundwatementioning
confidence: 99%
“…The infiltrating water body ( Figure 20) will only extend to the water table during recharge, if the recharge interval is of sufficiently long duration. An extensive set of mathematical models have been developed (e.g., [58,61,62,64]) to allow these groundwater mounds to be determined under conditions of constant recharge or variable recharge. These groundwater mound models apply to a variety of infiltration environments, including disposal of storm water (e.g., [65]) and the analysis of mires [66].…”
Section: Comparison Of Observed Results With a Traditional Groundwatementioning
confidence: 99%
“…The vertical cross section of the flow system under consideration is shown in Figure 2. The water level is initially horizontal with a depth of h 0 from the bedrock and is subject to recharge from an infinite strip of width 2 L. The following assumptions are made about the flow in the aquifer (Hantush 1967;Oritz et al 1978;Basak 1979;Rao and Sarma 1984;Serrano and Workman 1998;Rai et al 2001;Korkmaz 2013).…”
Section: Mathematical Statement Of the Problem And Solutionmentioning
confidence: 99%
“…To evaluate the accuracy, we compare the GH solution of the 1-D Boussinesq equation with the solutions obtained by other researchers. Figure 3 shows a comparison of the GH solution (Equation 16) results with those of Rai's solution (Rai et al 2001) ( Figure 3A) and Korkmaz's solution (Korkmaz 2013) ( Figure 3B). The fitting results for the groundwater level change (h − h 0 ) are without obvious deviations at different time scales.…”
Section: Mathematical Statement Of the Problem And Solutionmentioning
confidence: 99%
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“…Since the early 1950s, several analytical solutions were developed for defining the growth and decay of groundwater mounds. These solutions consider infiltration from rectangular or circular basins with constant or transient recharging rates (Baumann, 1952;Glover, 1960;Hantush, 1967;Hunt, 1971;Marino, 1975;Latinopoulos, 1981;Warner et al, 1989;Sarma, 1981, Rai andSingh, 1996;Rai et al, 1998Rai et al, , 2001. For most of these solutions, flow from the recharge basin is assumed to be horizontal (Dupuit-Forchheimer assumption), occurring through an infinite, uniform and isotropic aquifer.…”
Section: Introductionmentioning
confidence: 99%