Modelling the effect of water fall in the river level on unsteady groundwater flow in leaky aquifer by separation of variables

Document Type : Research Article

Authors

1 Assistant Professor Department of Civil Engineering ,University of Zanjan

2 2- M.Sc. student Hydraulic Structures, Civil Engineering ,University of Zanjan

Abstract

In order to model groundwater flow, numerical and analytical methods can be utilized. In this paper, the effects of different parameters on leaky aquifer were investigated using mathematical model and separation of variables method. This aquifer is located adjacent to the river and the flow rate falls across the border. Comparison of hydraulic head changes shows that over the time the water level changes decreases in the aquifer and the aquifer adapts itself to the new conditions. Groundwater level decrease with rises in hydraulic conductivity. Reducing hydraulic conductivity has a greater effect than increasing it on the aquifer. Also, the groundwater head rises by increasing the recharge rate and over time, these changes are more evident. Outflow changes are greater than inflow changes. In addition, the presented analytical solution is compared with those results obtained from MODFLOW. This comparison showed that the analytical solution presented in this research is very efficient.

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[1]. Winter, T. C. Relation of streams, lakes, and wetlands to groundwater flow systems. Hydrogeology Journal. 1999; 7:28–45
[2]. Yang, Y.S., Wang, L. A review of modeling tools for implantation of the EU water framework directive in handling diffuse water pollution. Water Resources Management. 2010; 24:1819–1843
[3]. Courbis, A. L., Vayassade, B., Martin, C., Didon-Lescot, J.F. Modelling and simulation of a catchment in order to evaluate water resources. Global NEST Journal. 2008; 10(3): 301-309.
[4]. Ma, S., Kassinos, S.C., Kassinos, D.F., Akylas, E. Modeling the impact of water withdrawal schemes on the transport of pesticides in the Kouris Dam (Cyprus). Global NEST Journal. 2008; 10(3): 350-358.
[5]. Boufadel, M. C., Peridier, V. Exact analytical expressions for the piezometric profile and water exchange between stream and groundwater during and after a uniform rise of the stream level. Water resources research. 2002; 38(7): 1-6.
[6]. Hussein, M., Schwartz, F.W. Modeling of flow and contaminant transport in coupled stream–aquifer systems. Journal of Contaminant Hydrology. 2003; 65: 41–64.
[7]. Singh, S.K. Aquifer response to sinusoidal or arbitrary stage of semipervious stream. Journal of Hydraulic Engineering. 2004; 130(11): 1108-1118.
[8]. Kim, K.Y., Kim, T., Kim, Y., Woo, N.C. A semi-analytical solution for groundwater responses to stream-stage variations and tidal fluctuations in a coastal aquifer. Hydrological Process. 2007; 21(5): 665–674.
[9]. Bansal, R. K., Das, S. K. Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition. Journal of Hydrology and Hydromechanics. 2009; 57(2): 113-120.
[10]. Guo, H. P., Jiao, J.J., Li, H. L. Groundwater response to tidal fluctuation in a two-zone aquifer. Journal of Hydrology. 2010; 381:364–371.
[11]. Telogloua L.S, Bansal, R k. Transient solution for stream–unconfined aquifer interaction due to time varying stream head and in the presence of leakage. Journal of Hydrology. 2012; 428: 68–79.
[12]. Kashaigili, J. J., Mashauri D. A., Abdo, G. Groundwater management by using mathematical modeling: case of the Makutupora groundwater basin in dodoma Tanzania. Botswana Journal of Technology. 2003; 12(1):19–24.
[13]. Palma, H. C., Bentley, L. R. A regional-scale groundwater flowmodel for the Leon–Chinandega aquifer, Nicaragua. Hydrogeology Journal. 2007; 15:1457–72.
[14]. Budge, T.J., Sharp, Jr. JM. Modeling the usefulness of spatial correlation analysis on karst systems. Ground Water. 2009; 47(3):427–37.
[15]. Xu, X., Huang, G., Zhan, H., Qu, Z., Huang, Q. Integration of SWAP and MODFLOW-2000 for modeling groundwater dynamics in shallow water table areas. Journal of Hydrology. 2012; 412:170–181.
[16]. Saeedpanah I, GolmohamadiAzar R, New Analytical Solutions for Unsteady Flow in a Leaky Aquifer between Two Parallel Streams. Water Resources Management. 2017; 31(7): 2315–2332.
[17]. Srivastava, Kirti;Serrano, Sergio E.; Workman, S. R. Stochastic modeling of transient stream aquifer interaction with the nonlinear Boussinesq equation. Journal of Hydrology. 2005;  328: 538-547.