Definition
Ocean tide loading comprises the observable effects of surface mass loading due to oceanic tides. Effects include deformation of the body of the planet and perturbation of its gravity field. Owing to the origin, ocean tides, the effects of ocean loading cover temporal scales of hours to 18.6 years and appear to be periodic.
Loading Problems in General
The range of loading effects is wide. In general, traction forces (for instance) are applied on a certain area, and the body responds by deformation. Sorting the problem into categories, distinctions would consider whether the scale is small, so that a flat-earth approximation would be sufficient, or whether the whole body of the earth is involved and to what degree the structure in interior can be considered uniform or variable, or variable only along the radial direction. The forcing may occur at the surface or at depth, maybe by surface tractions...
References and Reading
Agnew, D. C., 1997. NLOADF: A program for computing ocean-tide loading. Journal of Geophysical Research, Solid Earth, 102(B3), 5109–5110, doi:10.1029/96JB03458. URL http://dx.doi.org/10.1029/96JB03458.
Agnew, D. C., 2007. Earth tides. In Herring, T. (ed.), Treatise on Geophysics: Geodesy. Amsterdam/Boston: Elsevier, pp. 163–195.
Baker, T. F., and Bos, M. S., 2003. Validating Earth and ocean tide models using tidal gravity measurements. Geophysical Journal International, 152, 468–485.
Bos, M. S., and Baker, T. F., 2005. An estimate of the errors in gravity ocean tide loading computations. Journal of Geodesy, 79(1–3), 50–63, doi:10.1007/s00190-005-0442-5. URL http://dx.doi.org/10.1007/s00190-005-0442-5.
Bos, M. S., and Scherneck, H. G., 2013. Computation of Green’s functions for ocean tide loading. In Xu, G. (ed.), Sciences of Geodesy. Berlin/Heidelberg: Springer, Vol. II, pp. 1–50, doi:10.1007/978-3-642-28000-9_1.
Buffett, B. A., Mathews, P. M., Herring, T. A., and Shapiro, I. I., 1993. Forced nutations of the earth: Contributions from the effects of ellipticity and rotation on the elastic deformations. Journal of Geophysical Research, Solid Earth, 98(B12), 21,659–21,676, doi:10.1029/92JB01339. URL http://dx.doi.org/10.1029/92JB01339.
Egbert, G. D., and Ray, R. D., 2001. Estimates of m2 tidal energy dissipation from topex/poseidon altimeter data. Journal of Geophysical Research, Oceans, 106(C10), 22,475–22,502, doi:10.1029/2000JC000699. URL http://dx.doi.org/10.1029/2000JC000699.
Farrell, W. E., 1972. Deformation of the Earth by surface loads. Reviews of Geophysics and Space Physics, 10(3), 761–797.
Hartmann, T., and Wenzel, H. G., 1995. The HW95 tidal potential catalogue. Geophysical Research Letters, 22(24), 3553–3556, doi:10.1029/95GL03324. URL http://dx.doi.org/10.1029/95GL03324.
Lӧfgren, J. S., Haas, R., and Scherneck, H. G., 2014. Sea level time series and ocean tide analysis from multipath signals at five {GPS} sites in different parts of the world. Journal of Geodynamics, 80(0), 66–80. http://dx.doi.org/10.1016/j.jog.2014.02.012, sI: Understand the Earth.
Longman, I. M., 1962. A green’s function for determining the deformation of the earth under surface mass loads, 1. Theory. Journal of Geophysical Research, 67(2), 845–850.
Longman, I. M., 1963. A green’s function for determining the deformation of the earth under surface mass loads, 2. Computations and numerical results. Journal of Geophysical Research, 68(2), 485–496.
Love, A. E. H., 1911. Some Problems of Geodynamics. New York: Dover, 1967.
Melchior, P., Ducarme, B., van Ruymbeke, M., Poitevin, C., and de Becker, M., 1984. Interactions between oceanic and gravity tides, as analysed [sic!] from world-wide Earth tide observations and ocean models. Marine Geophysical Researches, 7, 77–91.
Merriam, J. B., 1985. Toroidal love numbers and transverse stress at the earth’s surface. Journal of Geophysical Research, Solid Earth, 90(B9), 7795–7802, doi:10.1029/JB090iB09p07795. URL http://dx.doi.org/10.1029/JB090iB09p07795.
Pekeris, C. L., and Jarosch, H., 1958. The free oscillations of the Earth. In Benioff, H., Ewing, M., Howell, B. F., Jr., and Press, F. (eds.), Contributions in Geophysics in Honor of Beno Gutenberg. New York: Pergamon, pp. 171–192.
Penna, N. T., Bos, M. S., Baker, T. F., and Scherneck, H. G., 2008. Assessing the accuracy of predicted ocean tide loading displacement values. Journal of Geodesy, 82, 893–907.
Saito, M., 1978. Relationship between tidal and load Love numbers. Journal of Physics of the Earth, 26, 13–16.
Tamura, Y., 1987. A harmonic development of the tide-generating potential. Maries Terrestres Bulletin d’Informations, 99, 6813–6855.
Wahr, J., and Sasao, T., 1981. A diurnal resonance in the ocean tide and in the Earth’s load response due to the resonant ‘free core nutation’. Geophysical Journal of the Royal Astronomical Society, 64, 747–765.
Wessel, P., Smith, W., Scharroo, R., Luis, J., and Wobbe, F., 2013. Generic mapping tools: Improved version released. Eos, Transactions American Geophysical Union, 94, 409–410.
Wu, X., Ray, J., and van Dam, T., 2012. Geocenter motion and its geodetic and geophysical implications. Journal of Geodynamics, 58, 44–61, doi:10.1016/jjog.2012.01.007. URL http://www.sciencedirect.com/science/article/pii/S0264370712000087.
Zahel, W., 1970. Die Reproduktion gezeitenbedingter Bewegungsvorgänge im Weltozean mittels des hydrodynamisch-numerischen Verfahrens. Mitt. Inst. Meereskunde, Univ. Hamburg, Vol. XVII, 50 pp.
Zschau, J., 1978. Tidal friction in the solid earth: loading tides versus body tides. In Brosche, P., and Siindermann, J. (ed), Tidal Friction and the Earth’s Rotation, Springer-Verlag Berlin Heidelberg, pp 62–94.
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Scherneck, HG. (2016). Loading Effects. In: Grafarend, E. (eds) Encyclopedia of Geodesy. Springer, Cham. https://doi.org/10.1007/978-3-319-02370-0_52-1
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