TECHNICAL PAPERS
May 1, 2005

Two-Dimensional Approximation for Tidal Dynamics in Coastal Aquifers: Capillarity Correction

Publication: Journal of Engineering Mechanics
Volume 131, Issue 5

Abstract

Most previous investigations on tide-induced watertable fluctuations in coastal aquifers have been based on one-dimensional models that describe the processes in the cross-shore direction alone, assuming negligible along-shore variability. A recent study proposed a two-dimensional approximation for tide-induced watertable fluctuations that took into account coastline variations. Here, we further develop this approximation in two ways, by extending the approximation to second order and by taking into account capillary effects. Our results demonstrate that both effects can markedly influence watertable fluctuations. In particular, with the first-order approximation, the local damping rate of the tidal signal could be subject to sizable errors.

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Acknowledgments

The writers are grateful for financial support from an ARC Linkage-International Award (2002–2003) and a Griffith University Research Development Grant (2002).

References

Barry, D. A., Barry, S. J., and Parlange, J.-Y. (1996). “Capillary correction to periodic solution of the shallow flow approximation.” C. B. Pattiaratchi, ed., Mixing processes in estuaries and coastal seas, Coastal and Estuarine Studies, Vol. 50, AGU, Washington, D.C., 496–510.
Bear, J. (1972). Dynamics of fluids in porous media, American Elsevier, New York.
Bear, J., and Verruijt, A. (1987). Modeling groundwater flow and pollution, Reidel, Dordrecht.
Dagan, G., and Zeitoun, D. G. (1998). “Seawater-freshwater interface in a stratified aquifer of random permeability distribution.” J. Contam. Hydrol., 29(3), 185–203.
Duncan, J. R. (1964). “The effects of water table and tide cycle on swash-backwash sediment distribution and beach profile development.” Mar. Geol., 2, 186–197.
Eliot, I. G., and Clarke, D. J. (1988). “Semidiurnal variation in beach face aggradation and degradation.”
Emery, K. O., and Foster, J. F. (1948). “Watertables in marine beaches.” J. Mar. Res., 7, 644–654.
Grant, U. S. (1948). “Influence of the water table on beach aggradation and degradation.” J. Mar. Res., 7, 655–660.
Isaacs, J. D., and Bascom, W. N. (1949). “Water table elevations in some Pacific coast beaches.” EOS Trans. Am. Geophys. Union, 30, 293–294.
Knight, J. (1981). “Steady period flow through a rectangular dam.” Water Resour. Res., 17(4), 1222–1224.
Lanyon, J. A., Eliot, I. G., and Clark, D. J. (1982). “Groundwater-level variations during semidiurnal spring tidal cycles on a sandy beach.” Australian J. Marine Freshwater Res., 33, 377–400.
Li, H., Jiao, J. J., Luk, M., and Cheung, K. Y. (2001). “Tide-induced groundwater level fluctuation in coastal aquifers bounded by an L-shaped coastline.” Water Resour. Res., 38(3), 6.
Li, L., Barry, D. A., and Pattiaratchi, C. B. (1997a). “Numerical modelling of tide-induced beach water table fluctuations.” Coastal Eng., 30(1–2), 105–123.
Li, L., Barry, D. A., Parlange, J.-Y., and Pattiaratchi, C. B. (1997b). “Beach water table fluctuations due to wave run-up: Capillary effects.” Water Resour. Res., 33(5), 935–945.
Li, L., Barry, D. A., Stagnitti, F., and Parlange, J.-Y. (1999). “Submarine groundwater discharge and associated chemical input to a coastal sea.” Water Resour. Res., 35(11), 3253–3259.
Li, L., Barry, D. A., Cunningham, C., Stagnitti, F., and Parlange, J.-Y. (2000). “A two-dimensional analytical solution of groundwater response to tidal loading in an estuary and ocean.” Adv. Water Resour., 23(8), 825–833.
Li, L., Dong, P., and Barry, D. A. (2002). “Tide-induced water table fluctuations in coastal aquifers bounded by rhythmic shorelines.” J. Hydraul. Eng., 128(10), 925–933.
McArdle, S. B., and McLachan, A. (1991). “Dynamics of the swash zone and effluent line on sandy beaches.” Mar. Ecol.: Prog. Ser., 76, 91–99.
Nielsen, P. (1990). “Tidal dynamics of the water table in beaches.” Water Resour. Res., 26(9), 2127–2134.
Nielsen, P., and Perrochet, P. (2000). “Watertable dynamics under capillary fringes: Experiments and modeling.” Adv. Water Resour., 23(5), 503–515.
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.” J. Hydrol., 70, 251–263.
Parlange, J.-Y., and Brutsaert, W. (1987). “A capillary correction for free surface flow of groundwater.” Water Resour. Res., 23(5), 805–808.
Pollock, L. W., and Hummon, W. D. (1971). “Cyclic changes in interstitial water content, atmospheric exposure, and temperature in a marine beach.” Limnol. Oceanogr., 16(3), 522–535.
Sun, H. (1997). “A two-dimensional analytical solution of groundwater response to tidal loading in an estuary.” Water Resour. Res., 33(6), 1429–1435.
Teo, H. T., Jeng, D.-S., Barry, D. A., and Li, L. (2002). “Third-order capillary effects of tidal fluctuation in coastal aquifers.” Coast to coast 2002, Tweed Heads, Australia, 463–467.
Turner, I. (1993). “The total water content of sandy beaches.” J. Coastal Res., 15, 11–26.

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Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 131Issue 5May 2005
Pages: 534 - 541

History

Received: Dec 23, 2002
Accepted: Jun 17, 2003
Published online: May 1, 2005
Published in print: May 2005

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Notes

Note. Associate Editor: Alexander H.-D. Cheng

Authors

Affiliations

D.-S. Jeng, A.M.ASCE
Senior Lecturer, School of Engineering, Griffith Univ. Gold Coast Campus, QLD 9726 Australia.
H. T. Teo
Graduate Student, School of Engineering, Griffith Univ. Gold Coast Campus, QLD 9726, Australia.
D. A. Barry
Professor, Contaminated Land Assessment and Remediation Research Centre, Institute for Infrastructure and Environment, School of Engineering and Electronics, The Univ. of Edinburgh, Crew Building, King’s Buildings, Edinburgh EH9 3JN, U.K.
L. Li
Senior Lecturer, School of Engineering, The Univ. of Queensland, QLD 4072, Australia.

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