Temporal Variation of Shallow-Water Tides in Basin-Inlet Systems

  • John D. Boon
Part of the Lecture Notes on Coastal and Estuarine Studies book series (COASTAL, volume 29)


Temporal variations occur in the flood or ebb duration differences of asymmetrical tides in basin-inlet systems. These variations are due largely to the conjunction of a few tidal constituents at adjacent semi-diurnal and quarter-diurnal frequencies rather than time-dependent variation in the tidal harmonic constants themselves. Where shallow-water tidal distortions are present, they thus can be modelled by the combination of a semi-diurnal oscillation at the M2 frequency with a quarter-diurnal oscillation at the M4 frequency, given amplitudes and phase angles that reflect time-varying behavior. Indices of tidal asymmetry such as the M4/M2 amplitude ratio vary as a function of time according to this model as revealed by complex demodulation of tidal time series at the M2 and M4 frequencies. The demodulation shows that the amplitude of the quarter-diurnal tide varies approximately as the square of the amplitude of the semi-diurnal tide.


Amplitude Ratio Tidal Constituent Diurnal Tide Tidal Inlet Tidal Asymmetry 
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  1. Aubrey, D.G. and Speer, P.E., 1983. Sediment transport in a tidal inlet. Woods Hole Oceanographic Institution Technical Report WHOI-83–20, 110 pp.Google Scholar
  2. Aubrey, D.G. and Speer, P.E., 1985. A study of non-linear tidal propagation in shallow inlet/estuarine systems. Part I: Observations. Estuarine, Coastal and Shelf Sci., 21:185–205.CrossRefGoogle Scholar
  3. Bloomfield, P., 1976. Fourier analysis of time series: an introduction. John Wiley and Sons, New York, 258 pp.Google Scholar
  4. Boon, J.D. and Byrne, R.J., 1981. On basin hypsometry and the morphodynamic response of coastal inlet systems. Mar. Geol., 40:27–48.CrossRefGoogle Scholar
  5. Boon, J.D. and Kiley, K.P., 1978. Harmonic analysis and tidal prediction by the method of least squares. Special Report 186 Virginia Institute of Marine Science, Gloucester Point, 49 pp.Google Scholar
  6. Doodson, A.T. and Warburg, H.D., 1941. Admiralty manual of tides. His Majesty’s Stationery Office, London, 270 pp.Google Scholar
  7. Dronkers, J.J., 1964. Tidal computations in rivers and coastal waters. North Holland Publishing Co., Amsterdam, 516 pp.Google Scholar
  8. Dronkers, J., 1986. Tidal asymmetry and estuarine morphology. Neth. J. Sea Res., 20:117–131.CrossRefGoogle Scholar
  9. Filloux, J.H. and Snyder, R.L., 1979. A study of tides, set up and bottom friction in a shallow semi-enclosed basin. Part I: Field experiment and harmonic analysis. J. Phys. Oceanogr., 9:158–169.CrossRefGoogle Scholar
  10. Mota-Oliveira, I.B., 1970. Natural flushing ability in tidal inlets. Proc. 12th Coastal Engr. Conf., ASCE, p. 1827–1845.Google Scholar
  11. Munk, W.H. and Hasselmann, K., 1964. Super-resolution of tides. In: Studies on Oceanography, Univ. Tokyo Press, p. 339–344.Google Scholar
  12. Redfield, A.C., 1950. The analysis of tidal phenomena in narrow embayments. Papers in Phys. Oceanogr. and Meteorol. 11(4): 1–36.Google Scholar
  13. Speer, P.E. and Aubrey, D.G., 1985. A study of non-linear tidal propagation in shallow inlet/estuarine systems Part II: Theory. Estuarine, Coastal and Shelf Science, 21:207–224.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • John D. Boon
    • 1
  1. 1.Virginia Institute of Marine Science and School of Marine ScienceCollege of William and MaryGloucester PointUSA

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