Exact Solution of Groundwater Flow Response in a Confined Aquifer to Variation in River Level

Document Type : Research Article

Authors

1 Assistant Professor, Department of Civil Engineering ,University of Zanjan, Iran

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

Abstract

In this paper a mathematical model is developed to investigate the effects of tidal river fluctuations on the groundwater head of confined aquifer. To simulate the interaction between groundwater flow of the confined aquifer near tidal river in a unsteady flow, we used the separation method. This model is for simulating groundwater level and it requires estimation of hydrogeological parameters of transmissivity and storage coefficient. Two elements of falling and rising water levels have been studied in this paper. To verify the analytical solution of the model, GMS software Modflow is used and the results of the survey conducted comparing the effectiveness of analytical and numerical model solved by separation of variables and methods of proposed model for the hydraulic confined aquifer and river tidal is shown. Compared with an analytical solution based on a sinusoidal assumption and a numerical solution generated by MODFLOW, this solution provided better performance in groundwater-level prediction in a confined aquifer According to the investigation done, if the coefficient of transmissibility increases, water level rises. Evaluations of analytical solutions show that the effect of changes in levels of transmission capability between 1 and 2 km from the border tidal was remarkable. And with increased transmission capability, head of the underground water level also rises away from the border reduced and it creates a wave whit with lesser amplitude and needs more time to create it.

Keywords

Main Subjects


[1]. Ophocleous. M. Interactions between groundwater and surface water: the state of the science. Journal of Hydrology. 2002; 10: 52–67.
[2]. Chuang M.H, Yeh H.D. An analytical solution for the head distribution in a tidal leaky confined aquifer extending an infinite distance under the sea. Advances in Water Resources. 2007; 30(3): 439-445.
[3]. Saeedpanah I, Golmohamadi Azar R, New analytical expressions for two-Dimensional aquifer adjoining with streams of varying water level. Water Resources Management. 2017; 31(1): 403–424.
 
[4]. Saeedpanah I, Golmohamadi Azar R, New analytical solutions for unsteady flow in a leaky aquifer between two parallel streams. Water Resources Management. 2017; 31(7): 2315–2332.
[5]. Dong, L., Chen, J., Fu, C. and Jiang, H. Analysis of groundwater-level fluctuation in a coastal confined aquifer induced by sea-level variation. Hydrogeology Journal. 2012; 20: 719–726.
[6]. Guo Q. N, Li H. L, Boufadel M. C, xia Y, Li G. Tide-induced groundwater head fluctuation in coastal multi-layered aquifer systems with a submarine outlet capping. Advances in Water Resources. 2007; 30(8):1746–1755.
[7]. Huang, C.S.,Yeh, H.D. and Chang, C.H. A general analytical solution for ground- water fluctuations due to dual tide in long but narrow islands. water resources research. 2012; 48.
[8]. Maas, C., and W. J. De Lange. On the negative phase shift of groundwater tides near shallow tidal rivers—The Gouderak anomaly, Journal of Hydrology. 1987; 92: 333– 349.
[9]. Jiao, J. J., and Z. Tang. An analytical solution of groundwater response to tidal fluctuation in a leaky confined aquifer, water resources research. 1999; 35(3), 747–751.
[10]. Tang ZH, Jiao, J.J. A two-dimensional analytical solution for groundwater flow in a leaky confined aquifer system near open tidal water. Hydrological processes. 2001; 15:573–585.
[11]. Li, H., G. Li, J. Cheng, and M. C. Boufadel. Tide-induced head fluctuations in a confined aquifer with sediment covering its outlet at the sea floor, water resources research. 2007; 43(3).
[12]. Li H, Jiao J.J. Tidal groundwater level fluctuations in L-shaped leaky coastal aquifer system. Journal of Hydrology. 2002; 268(1- 4): 234-243.
[13]. Guo H. P, Jiao J. J, Li HL. Groundwater response to tidal fluctuation in a two-zone aquifer. Journal of Hydrology. 2010; 381(3- 4):364–371.
[14]. Bansal, R. K. and 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.
[15]. Singh, S.K. Aquifer response to sinusoidal or arbitrary stage of semipervious stream. Journal of Hydraulic Engineering. 2004; 130(11), 1108-1118.
[16]. Elfeki, A.M., Uffink, G.J., Lebreton, S. Simulation of solute transport under oscillating groundwater flow in homogeneous aquifers. Journal of Hydraulic research. 2007. 45(2): 254-260.
[17]. Chen JW, Hsieh HH, Yeh HF, Lee CH. The effect of the variation of river water levels on the estimation of groundwater recharge in the Hsinhuwei River, Taiwan. Environ Earth Sci. 2010. 59:1297.
[18]. Bansal RK, Das SK. Response of an unconfined sloping aquifer to constant recharge and seepage from the stream of varying water level. Water Resources Management. 2011; 25:893–911
[19]. Dong L, Chen J, Fu C, Jiang H. Analysis of groundwater-level fluctuation in a coastal confined aquifer induced by sea-level variation. Hydrogeology Journal. 2012; 20(4):719–726.
[20]. Rai S, Manglik A. An analytical solution of Boussinesq equation to predict water table fluctuations due to time varying recharge and withdrawal from multiple basins, wells and leakage sites. Water Resources Management. 2012; 26:243–252.
[21]. Huang CS, Lin WS, Yeh HD. Stream filtration induced by pumping in a confined, unconfined or leaky aquifer bounded by two parallel streams or by a stream and an impervious stratum. Journal of Hydrology. 2014; 513(26):28–44.
[22]. Li H, Jiao J.J. Tide-induced groundwater fluctuation in a coastal leaky confined aquifer system extending under the sea. water resources research. 2001; 37(5): 1165–1171.
[23]. Li H, Jiao J. J. Tide-induced seawater–groundwater circulation in a multi-layered coastal leaky aquifer system. Journal of Hydrology. 2003; 274(1- 4):211–224.
[24]. Hussein, M., Schwartz, F.W. Modeling of flow and contaminant transport in coupled stream–aquifer systems. Journal of Contaminant Hydrology. 2003; 65: 41–64.
[25]. 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.
[26]. 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.
[27]. Budge, T.J., Sharp, Jr. JM. Modeling the usefulness of spatial correlation analysis on karst systems. Ground Water. 2009; 47(3):427–37.
[28]. Palma, H. C., Bentley, L. R. A regional-scale groundwater flowmodel for the Leon–Chinandega aquifer, Nicaragua. Hydrogeology Journal. 2007; 15:1457–72.
[29]. 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.
[30]. Saeedpanah I, Golmohamadi Azar R. Solution of Unsteady Flow in a Confined Aquifer Interacting with a Stream with Exponentially Decreasing Stream Stage. ASCE's Journal of Hydrologic Engineering. 2019; 24(2): 1–11.
[31]. Lal, A.M.W. Numerical errors in groundwater and overland flow models. Water Resour. Res. 2000; 36 (5): 1237–1247.
[32]. Hanson, R.T., S.E. Boyce, W. Schmid, J.D. Hughes, S.M. Mehl, S.A. Leake, T. Maddock III, and R.G. Niswonger. One-water Hydrologic Flow Model (MODFLOW-owhm). U.S. Geological Survey, Techniques and Methods. 2014; 6–A51.
[33]. Xia. Y, Li. H.L, Boufadel. M.C. A new perturbation solution of groundwater table fluctuations in tidal beaches. J. Hydrodynamics. 2010, 22(5), 55-60.
[34]. Harbaugh, A.W. MODFLOW-2005, the U.S. Geologica Survey modular ground-water model – the ground-water flow process. U.S. Geological Survey, Techniques and Methods. 2005; 6-A16.