Modeling of a Groundwater Mound in a Two-Dimensional Heterogeneous Unconfined Aquifer in Response to Precipitation Recharge
Publication: Journal of Hydrologic Engineering
Volume 20, Issue 7
Abstract
The paper deals with the transient semi-analytical solution of linearized Boussinesq equations characterizing the development of groundwater mound in an unconfined two-dimensional heterogeneous aquifer under vertical recharge conditions. The finite aquifer consists of two rectangular basins surrounded by open water bodies and shares a common impermeable or permeable boundary at the mid plane. The governing equations are solved by applying the Laplace transform and finite Fourier sine transform techniques. Accordingly, analytical expressions for water heads for two rectangular basins are obtained for various scenarios. The applicability of the solutions has been illustrated with the help of a case study and numerical examples, considering various cases. The region wise development of the groundwater mound indicates that the effect of heterogeneity becomes significant for small time duration whereas for long time it becomes insignificant. This result can have application in land reclamation problems in the presence of localized recharge where the reclamation displaces the ground water divide and changes the groundwater conditions in the entire region.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bansal, R., and Das, S. K. (2009). “Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition.” J. Hydrol. Hydromech., 57(2), 113–120.
Bansal, R., and Das, S. K. (2010). “Analytical solution of water table in unconfined aquifers due to varying bed slopes and spatial location recharge basin.” J. Hydrol. Eng., 909–917.
Barlow, P., and Moench, A. F. (2000). “Aquifer response to stream-stage and recharge variations. 1. Analytical step-response functions.” J. Hydrol., 230(3–4), 192–210.
Boufadel, M. C., and Peridier, V. (2002). “Exact analytical expression for the piezometric profile and water exchange between the stream water and groundwater during and after uniform rise of the stream level.” Water Resour. Res., 38(7), 27-1–27-6.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford University Press, London, U.K., 510.
Fetter, C. W. (1994). Applied hydrogeology, 3rd Ed., Prentice Hall, NJ.
Guo, H., and Jiao, J. J. (2007). “Impact of coastal land reclamation on groundwater level and sea water interface.” Ground Water, 45(3), 362–367.
Hantush, M. S. (1967). “Growth and decay of groundwater-mounds in response to uniform percolation.” Water Resour. Res., 3(1), 227–234.
Hu, L., and Jiao, J. J. (2010). “Modeling the influences of land reclamation on groundwater systems: A case study in Shekou peninsula, Shenzhen, China.” Eng. Geol., 114(3–4), 144–153.
Hu, L., and Jiao, J. J. (2014). “Analytical studies on transient groundwater flow induced by land reclamation using different fill materials.” Hydrol. Process., 28(4), 1931–1938.
Hu, L., Jiao, J. J., and Guo, H. (2008). “Analytical studies on transient groundwater flow induced by land reclamation.” Water Resour. Res., 44(11), W11427.
Jiao, J. J. (2000). “Modification of regional groundwater regimes by land reclamation.” Hong Kong Geol., 6, 29–36.
Jiao, J. J., Nandy, S., and Li, H. (2001). “Analytical studies on the impact of reclamation on ground water flow.” Ground Water, 39(6), 912–920.
Korkmaz, S. (2013). “Transient solutions to groundwater mounding in bounded and unbounded aquifers.” Groundwater, 51(3), 432–441.
Marino, M. (1974). “Water table fluctuation in response to recharge.” J. Irrig. Drain. Div., 100(2), 117–125.
Rai, S. N., and Mangalik, A. (1999). “Modeling of water table variations in response to time varying recharge from multiple basins using the linearized Boussinesq equation.” J. Hydrol., 220(3–4), 141–148.
Rai, S. N., and Singh, R. N. (1995). “Two-dimensional modeling of water table fluctuation in response to localized transient recharge.” J. Hydrol., 167(1–4), 167–174.
Rai, S. N., and Singh, R. N. (1998). “Evolution of the water table in a finite aquifer due to transient recharge from two parallel strip basins.” Water Resour. Manage., 12(3), 199–208.
Rao, N. H., and Sharma, P. B. S. (1981). “Groundwater recharge from rectangular areas.” Ground Water, 19(3), 271–274.
Singh, S (2012). “Groundwater mound due to artificial recharge from rectangular areas.” Irrig. Drain. Eng., 476–480.
Sneddon, I. N (1972). The use of integral transform, MacGraw-Hill, New York.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 20 • Issue 7 • July 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 28, 2012
Accepted: Jul 21, 2014
Published online: Oct 27, 2014
Discussion open until: Mar 27, 2015
Published in print: Jul 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.