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

Document Type : Research Article


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

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


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.


Main Subjects

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Volume 6, Issue 4
January 2020
Pages 957-968
  • Receive Date: 21 May 2019
  • Revise Date: 22 August 2019
  • Accept Date: 22 August 2019
  • First Publish Date: 22 December 2019