A perturbation solution for head fluctuations in a coastal leaky aquifer system considering water table over-height

Hydrological Sciences Journal

Volumn 57, Issue 1, 2012, Pages 162-172

  Chuang, Mo Hsiung ^a   Mahdi, Asadi Aghbolaghi ^b   Yeh, Hund Der ^c  

^a MING CHUAN UNIVERSITY   (Taiwan)

^b SHIRAZ UNIVERSITY   (Iran)

^c NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Boussinesq equation; perturbation analysis; submarine groundwater discharge; tidal fluctuation

Indexed keywords

ANALYTICAL SOLUTIONS; AQUIFER PARAMETERS; AQUIFER SYSTEMS; AQUITARDS; BOUSSINESQ EQUATIONS; CONFINED FLOW EQUATIONS; LEAKY AQUIFERS; PERTURBATION ANALYSIS; PERTURBATION METHOD; PERTURBATION SOLUTIONS; SUBMARINE GROUNDWATER DISCHARGE; THICKNESS RATIO; TIDAL FLUCTUATION; UNCONFINED AQUIFERS; WATER TABLES;

DISCHARGE (FLUID MECHANICS); HYDROGEOLOGY; LINEARIZATION; PERTURBATION TECHNIQUES;

AQUIFERS;

BOUSSINESQ EQUATION; COASTAL AQUIFER; DISCHARGE; GROUNDWATER; PERTURBATION; WATER TABLE;

EID: 84856897614     PISSN: 02626667     EISSN: 21503435     Source Type: Journal    
DOI: 10.1080/02626667.2011.637496     Document Type: Article

References (26)

1. Ataie-Ashtiani, B., Volker, R.E. and Lockington, D.A. 1999. Numerical and experimental study of seepage in unconfined aquifers with a periodic boundary condition. Journal of Hydrology, 222(1-4): 165-184.
2. Bear, J. 1972. Dynamics of fluids in porous media, New York: American Elsevier.
3. Cartwright, N., Nielsen, P. and Li, L. 2004. Experimental observations of water table waves in an unconfined aquifer with a sloping boundary. Advances in Water Resources, 27(10): 991-1004.
4. Chen, B.F. and Hsu, S.M. 2004. Numerical study of tidal effects on seawater intrusion in confined and unconfined aquifers by time independent finite-difference method. Journal of Water, Port Coastal and Ocean Engineering - American Society of Civil Engineers, 130(4): 191-206.
5. Chen, C.X. and Jiao, J.J. 1999. Numerical simulation of pumping tests in multilayer wells with non-Darcian flow in the wellbore. Ground Water, 37(3): 465-474.
6. Chuang, M.H. and Yeh, H.D. 2007. An analytical solution for the head distribution in a tidal leaky aquifer extending an infinite distance under the sea. Advances in Water Resources, 30(3): 439-445.
7. Chuang, M.H. and Yeh, H.D. 2008. Analytical solution for tidal propagation in a leaky aquifer extending finite distance under the sea. Journal of Hydraulic Engineering - American Society of Civil Engineers, 134(4): 447-454.
8. Jeng, D.S., Li, L. and Barry, D.A. 2002. Analytical solution for tidal propagation in a coupled semi-confined/phreatic coastal aquifer. Advances in Water Resources, 25(5): 577-584.
9. Jiao, J.J. and Tang, Z. 1999. An analytical solution of groundwater response to tidal fluctuation in a leaky confined aquifer. Water Resources Research, 35(3): 747-751.
10. Knight, J.H. 1981. Steady period flow through a rectangular dam. Water Resources Research, 17(4): 1222-1224.
11. Li, L., Barry, D.A. and Jeng, D.S. 2001. Tidal fluctuations in a leaky confined aquifer: dynamic effects of an overlying phreatic aquifer. Water Resources Research, 37(4): 1095-1098.
12. Li, H.L. and Jiao, J.J. 2001a. Analytical studies of groundwater-head fluctuation in a coastal confined aquifer overlain by a leaky layer with storage. Advances in Water Resources, 24(5): 565-573.
13. Li, H.L. and Jiao, J.J. 2001b. Tide-induced groundwater fluctuation in a coastal leaky confined aquifer system extending under the sea. Water Resources Research, 37(5): 1165-1171.
14. Li, H.L. and Jiao, J.J. Numerical studies of tide-induced groundwater level change in a multi-layered coastal leaky aquifer system. XIV International Conference on Computational Methods in Water Resources. Delft, The Netherlands.
15. Li, H.L. and Jiao, J.J. 2003. Tide-induced seawater-groundwater circulation in a multi-layered coastal leaky aquifer system. Journal of Hydrology, 274(1-4): 211-224.
16. Li, H.L., Jiao, J.J. and Tang, Z. 2006. Semi-numerical simulation of groundwater flow induced by periodic forcing with a case-study at an island aquifer. Journal of Hydrology, 327(3-4): 438-446.
17. Li, H.L., Li, G., Cheng, J. and Boufadely, M.C. 2007. Tide-induced head fluctuations in a confined aquifer with sediment covering its outlet at the sea floor. Water Resources Research, 43(3): W03404 doi:10.1029/2005WR004724
18. Liu, S., Li, H.L., Boufadel, M.C. and Li, G. 2008. Numerical simulation of the effect of the sloping submarine outlet-capping on tidal groundwater head fluctuation in confined coastal aquifers. Journal of Hydrology, 361(3-4): 339-348.
19. Nielsen, P. 1990. Tidal dynamics of the water table in beaches. Water Resources Research, 26: 2127-2134.
20. Pandit, A., El-Khazen, C.C. and Sivaramapillai, S.P. 1991. Estimation of hydraulic conductivity values in a coastal aquifer. Ground Water, 29(2): 175-180.
21. Parlange, J.Y., Stagnitti, F., Starr, J.L. and Braddock, R.D. 1984. Free-surface flow in porous media and periodic solution of the shallow-flow approximation. Journal of Hydrology, 70: 251-263.
22. Robinson, C., Gibbes, B. and Li, L. 2006. Driving mechanisms for groundwater flow and salt transport in a subterranean estuary. Geophysical Research Letters, 33: L03402 doi:10.1029/ 2005GL025247
23. Song, Z., Li, L., Kong, J. and Zhang, H. 2007. A new analytical solution of tidal water table fluctuations in a coastal unconfined aquifer. Journal of Hydrology, 340: 256-260.
24. Turner, I. 1993. Water table outcropping on macro-tidal beaches: a simulation model. Marine Geology, 115: 227-238.
25. Uchiyama, Y., Nadaoka, K., Rolke, P., Adachi, K. and Yagi, H. 2000. Submarine groundwater discharge into the sea and associated nutrient transport in a sandy beach. Water Resources Research, 36(6): 1467-1479.
26. White, J.K. and Roberts, T.O.L. The significance of groundwater tidal fluctuations, in Groundwater Problems in Urban Areas. Proceedings of the International Conference Organized by the Institution of Civil Engineers. June2-31993, London. Edited by: Wilkinson, W.B. pp.31-42. London: Thomas Telford.