Modelling the Groundwater Flow Response to Tidal Fluctuation in a Coastal Leaky Aquifer by separation of variables and Fourier transformation

Document Type : Research Article

Authors

1 Assistant Professor Department of Civil Engineering ,University of Zanjan

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

Abstract

In this paper, groundwater response to tidal effects in a Coastal Leaky Aquifer is simulated via analytical solutions. The solutions are obtained by application of separation of variables method and Fourier transform method. It is shown that those points of the aquifer near to the coastal shore are much more influenced by the tidal fluctuations in the boundary than the rest of the aquifer. The amplitude of tidal change is significant at points of the aquifer near to the coastal shore and gets smaller with distance from the boundary. In addition, it is shown that groundwater level increases with rises in transmissivity. This phenomenon is more significant when transmissivity is less than 400 m2/hr . Also, the groundwater head rises with rises in recharge rate. The effect of variations in transmissivity and recharge rate on hydraulic head is more significant at points located between 30 and 75 meters and less significant at points near to the coastal shore. The presented analytical solution is compared and verified with those results obtained from MODFLOW.

Keywords

Main Subjects

References

[1] Sophocleous M. Interactions between groundwater and surface water: the state of the science. Hydrogeology Journal. 2002; 10: 52–67.
[2] 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: 719–726.
[3] 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.
 [4] Jacob C. E, Flow of groundwater; In: Engineering Hydraulics. New York: John Wiley;1950.
[5] Ferris J.G. Cyclic fluctuations of water level as a basis for determining aquifer transmissibility. International Assoc. of Scientific Hydrology. 1951; 33, 148-155.
[6] Van Der Kamp G. Tidal fluctuations in a confined aquifer extending under the sea, 24th International Geological Conference, Montreal, Quebec, Canada. 1972; 11: 101–106.
[7] Tang Z.H, Jiao J.J. A two-dimensional analytical solution for groundwater flow in a leaky confined aquifer system near open tidal water. Hydrological Process. 2001; 15(4):573–585.
[8] 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.
[9] 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.
[10] 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.
[11] Li H, Li G, Cheng J, Boufadel M. C. Tide-induced head fluctuations in a confined aquifer with sediment covering its outlet at the sea floor. water resources research. 2007; 43(3): W03404, Doi:10.1029/2005WR004724.
[12] 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.
[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] Huang C.S, Yeh H.D, Chang C.H. A general analytical solution for groundwater fluctuations due to dual tide in long but narrow islands. water resources research. 2012; 48(5): W05508, Doi:10.1029/2011WR011211.
.[15] Saeedpanah I, GolmohamadiAzar R, New Analytical Expressions for Two-Dimensional Aquifer Adjoining with Streams of Varying Water Level. Water Resources Management. 2017; 31(1): 403–424.
[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] Sun H. A two-dimensional analytical solution of groundwater response to tidal loading in an estuary. water resources research. 1997; 33(6): 1429-1435.
[18] Li L, Barry D.A, Cunningham C, Stagnitti F, Parlange J.Y. A two dimensional analytical solution of groundwater response to tidal loading in an estuary and ocean. Advances in Water Resources. 2000; 23(8): 825-833.
Iranian journal of Ecohydrology
Volume 4, Issue 4
January 2018
Pages 1187-1197

Files

History

  • Receive Date: 09 June 2017
  • Revise Date: 21 July 2017
  • Accept Date: 20 July 2017
  • First Publish Date: 22 December 2017
  • Publish Date: 22 December 2017

Share

How to cite

Statistics