Application of inversion to global ocean tide mapping

Preliminary results constrained by observations in the Baltic Sea
  • Ole B. Andersen
Chapter
First Online:
Part of the Lecture Notes in Earth Sciences book series (LNEARTH, volume 63)

Abstract

The preliminary ocean tide test model, constrained to thirty representers the Baltic Sea, presented in this report demonstrates the high potential of the global inversion method for the study of ocean tides in particular, and ocean science in general. Furthermore, the analyses of the eigenvalue spectrum indicated that we can easily truncate the solutions. Hence, it is possible to run much larger solutions based on several thousands of representers in the future (e.g. north Atlantic ocean, global ocean). On the other hand it is obvious that the resolution is critical for further improvement, which will put even higher demands on computer resources.

However, there is no doubt that this approach, which combines hydrodynamic and data from tide gauges and satellite observations, seems to provide the basis for further improving the accuracy of the ocean tide models both in the global ocean but also in the Northwest European shelf region.

Keywords

Ocean Tide Ocean Tide Model Rigid Boundary Condition Global Ocean Tide Tidal Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Andersen, O.B., 1994. Ocean tides in the northern North Atlantic Ocean and adjacent seas from ERS 1 altimetry, J. Geophys. Res., 99(C11), 22,557–22,573.Google Scholar
  2. Andersen, O.B., 1995a Global ocean tides from ERS 1 and TOPEX/POSEIDON altimetry, J. Geophys Res. 100 (C12), 25,249–25,259.Google Scholar
  3. Andersen, O.B., 1995b. New ocean tide models for loading computations, Bull. Int. de Maree terreste, Belgium, 102, 9256–9264.Google Scholar
  4. Andersen, O.B., P.L. Woodworth and R.A. Flather, 1995a. Intercomparison of recent global ocean tide models, J. Geophys. Res., 100 (C12), 25,261–25,282.Google Scholar
  5. Andersen, O.B., M. Ashworth and S. Wilkes, 1995b. Global Ocean tide inversion, Preliminary results & parallel implementation, Proudman Oceanographic Laboratory, POL Internal rapport 41, 52pp.Google Scholar
  6. Bennett, A.F., 1992. Inverse methods in Physical Oceanography Monographs on mechanics and applied mathematics, Cambridge University Press, Cambridge, 346pp.Google Scholar
  7. Eanes, R.J., 1994. Diurnal and semidiurnal tides from TOPEX/POSEIDON altimetry, (abstract), EOS, 75(16), 108.Google Scholar
  8. Egbert, G.D., A.F. Bennett, and M.G.G. Foreman, 1994. TOPEX/POSEIDON tides estimated using a global inverse model, J. Geophys. Res. 99(C12), 24821–24852.Google Scholar
  9. Hendeshott, M., 1988. Long Waves and Ocean Tides. Evolution of Physical Oceanography. MIT Press, Cambridge.Google Scholar
  10. Jackson, D.D., 1973. The use of a priori data to resolve non-uniqueness in linear inversion. Geophys., J. R. astr. Soc., 57, 137–157Google Scholar
  11. Jacobsen, B.H., 1982. Inversionsteori, Grundlag, teknik og anvendelse, Geoskrifter 21, Geofysisk Afd. University of Aarhus, 256 pp.Google Scholar
  12. Kantha, L., 1995. Barotropic tides in the Global ocean from a nonlinear tidal model assimilating altimetric tides., J. Geophys. Res., in press.Google Scholar
  13. Kowalik, Z. and A.Y. Proshutinsky, 1993. Diurnal tides in the Arctic Ocean. J. Geophys. Res., 98 (C9), 16449–16468.Google Scholar
  14. Le Provost, C., M.L. Genco, F. Lyard, P. Vincent, and P. Canceil, 1994. Spectroscopy of the world ocean tides from a finite-element hydrodynamic model. J. Geophys Res. 99(C12), 24777–24797.Google Scholar
  15. Moritz, H. 1989. Advanced Physical Geodesy, Wichmann, Karlsruhe, Germany.Google Scholar
  16. Parker, R., L. Shure, and J. A. Hilderbrand, 1987. The Application of Inverse Theory to Seamount Magnetism., Rev. Geophys 25, 17–40.Google Scholar
  17. Ray, R.D., B. Sanchez, and D.E. Cartwright, 1994. Some extensions to the response method of tidal analysis applied to TOPEX/POSEIDON. (abstract), EOS, 75(16) 108.Google Scholar
  18. Tscherning, C.C., 1986. Functional methods for gravity field approximation, In Mathematical and numerical techniques in physical geodesy. Lecture Notes Earth Sci. Ser., vol. 7, edited by Hans Sunkel pp. 3–49, Springer Verlag, New York.Google Scholar
  19. Tscherning, C.C., R. Forsberg, P. Knudsen, 1992. The GRAVSOFT package for geoid determination, Proc. First workshop on the European Geoid, Prague.Google Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Ole B. Andersen
    • 1
  1. 1.Kort & MatrikelstyrelsenCopenhagenDenmark

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