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International Journal of Geophysics
Volume 2012 (2012), Article ID 741729, 11 pages
http://dx.doi.org/10.1155/2012/741729
Research Article

On the Potential of Least Squares Response Method for the Calibration of Superconducting Gravimeters

1Geomatics Division, Faculty of Engineering & the Built Environment, University of Cape Town, Cape Town 7700, South Africa
2Department of Earth and Space Science and Engineering, York University, Toronto, ON, Canada M3J 1P3
3Department of Civil Engineering, Ryerson University, Toronto, ON, Canada M5B 2K3

Received 9 March 2012; Accepted 10 May 2012

Academic Editor: Umberto Riccardi

Copyright © 2012 Mahmoud Abd El-Gelil et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. T. Sato, M. Ooe, K. Nawa, K. Shibuya, Y. Tamura, and K. Kaminuma, “Long-period tides observed with a superconducting gravimeter at Syowa Station, Antarctica, and their implication to global ocean tide modeling,” Physics of the Earth and Planetary Interiors, vol. 103, no. 1-2, pp. 39–53, 1997. View at Scopus
  2. J. Hinderer, D. Crossley, and R. Warburton, “Superconducting gravimetry,” in Treatise on Geophysics, T. Herring and G. Schubert, Eds., vol. 3, Elsevier, Amsterdam, The Netherlands, 2007.
  3. J. Hinderer, N. Florsch, J. Makinen, H. Legros, and J. E. Faller, “On the calibration of a superconducting gravimeter using absolute gravity measurements,” Geophysical Journal International, vol. 106, no. 2, pp. 491–497, 1991. View at Scopus
  4. M. Amalvict, J. Hinderer, J. Boy, and P. Gegout, “A three year comparison between a superconducting gravimeter (GWR C026) and an absolute gravimeter (FG5 206) in Strasbourg (France),” Journal of the Geodetic Society of Japan, vol. 47, pp. 410–416, 2001.
  5. O. Francis, “Calibration of the C021 superconducting gravimeter in membach (Belgium) using 47 days of absolute gravity measurements, gravity, geoid and marine geodesy,” in Proceedings of the International Association of Geodesy Symposia, vol. 117, pp. 212–219, 1997.
  6. O. Francis and T. Van Dam, “Evaluation of the precision of using absolute gravimeters to calibrate superconducting gravimeters,” Metrologia, vol. 39, no. 5, pp. 485–488, 2002. View at Publisher · View at Google Scholar · View at Scopus
  7. O. Francis, T. M. Niebauer, G. Sasagawa, F. Klopping, and J. Gschwind, “Calibration of a superconducting gravimeter by comparison with an absolute gravimeter FG5 in Boulder,” Geophysical Research Letters, vol. 25, no. 7, pp. 1075–1078, 1998. View at Scopus
  8. T. Sato, Y. Tamura, S. Okubo, and S. Yoshida, “Calibration of scale factor of superconducting gravimeter at Esashi using an absolute gravimeter FG5,” Journal of the Geodetic Society of Japan, vol. 42, pp. 225–232, 1996.
  9. M. Amalvict, H. McQueen, and R. Govind, “Absolute gravity measurements and calibration of SG-CT031 at Canberra, 1999-2000,” Journal of the Geodetic Society of Japan, vol. 47, pp. 334–340, 2001.
  10. Y. Imanishi, T. Higashi, and Y. Fukuda, “Calibration of the superconducting gravimeter T011 by parallel observation with the absolute gravimeter FG5 #210—a Bayesian approach,” Geophysical Journal International, vol. 151, no. 3, pp. 867–878, 2002. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Tamura, T. Sato, Y. Fukuda, and T. Higashi, “Scale factor calibration of a superconducting gravimeter at Esashi Station, Japan, using absolute gravity measurements,” Journal of Geodesy, vol. 78, no. 7, pp. 481–488, 2004.
  12. R. Falk, M. Harnisch, G. Harnisch, I. Nowak, B. Richter, and P. Wolf, “Calibration of superconducting gravimeters SG103, C023, CD029, and CD030,” Journal of the Geodetic Society of Japan, vol. 47, no. 1, pp. 22–27, 2001.
  13. R. Warburton, C. Beaumont, and J. Goodkind, “The effect of ocean tide loading on tides of the solid earth observed with the superconducting gravimeter,” Geophysical Journal of the Royal Astronomical Society, vol. 43, pp. 707–720, 1975.
  14. V. Achilli, P. Baldi, G. Casula et al., “A calibration system for superconducting gravimeters,” Bulletin Géodésique, vol. 69, no. 2, pp. 73–80, 1995. View at Publisher · View at Google Scholar · View at Scopus
  15. B. Richter, “Calibration of superconducting gravimeters,” in Proceedings of the Workshop on Non Tidal Gravity Changes Intercomparison between Absolute and Superconducting Gravimeters, vol. 3, pp. 99–107, Conseil de l'Europe, Cahiers du Centre Europeen de Geodynamique et de Seismologie, Luxembourg, 1991.
  16. D. Bower, J. Liard, D. Crossley, and R. Bastien, “Preliminary calibration and drift assessment of the superconducting gravimeter GWR12 through comparison with absolute gravimeter JILA2,” in Proceedings of the Workshop on Non Tidal Gravity Changes Intercomparison between Absolute and Superconducting Gravimeters, vol. 3, pp. 129–142, Conseil de l'Europe, Cahiers du Centre Europeen de Geodynamique et de Seismologie, Luxembourg, 1991.
  17. J. Merriam, S. Pagiatakis, and J. Liard, “Reference level stability of the Canadian superconducting gravimeter installation,” Journal of the Geodetic Society of Japan, vol. 47, no. 1, pp. 417–423, 2001.
  18. M. Abd El-Gelil, S. Pagiatakis, and A. El-Rabbany, “Frequency-dependent atmospheric pressure admittance of superconducting gravimeter records using least squares response method,” Physics of the Earth and Planetary Interiors, vol. 170, no. 1-2, pp. 24–33, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. P. Vaníček, “Approximate spectral analysis by least-squares fit—successive spectral analysis,” Astrophysics and Space Science, vol. 4, no. 4, pp. 387–391, 1969. View at Publisher · View at Google Scholar · View at Scopus
  20. P. Vaníček, “Further development and properties of the spectral analysis by least-squares,” Astrophysics and Space Science, vol. 12, no. 1, pp. 10–33, 1971. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Craymer, The least squares spectrum, its inverse transform and autocorrelation function: theory and some applications in geodesy [Ph.D. thesis], University of Toronto, Toronto, Canada, 1998.
  22. S. D. Pagiatakis, “Stochastic significance of peaks in the least-squares spectrum,” Journal of Geodesy, vol. 73, no. 2, pp. 67–78, 1999. View at Publisher · View at Google Scholar · View at Scopus
  23. S. Pagiatakis, “Application of the least-squares spectral analysis to superconducting gravimeter data treatment and analysis,” in Proceedings of the workshop on High precision gravity measurements with application to geodynamics and Second GGP, vol. 17, pp. 103–113, Cahiers Du Centre Europeen De Geodynamique et de Seismologie (ECGS), 2000.
  24. P. Vaníček, Geodesy: The Concepts, North Holland, Amsterdam, The Netherlands, 1986.
  25. H. Yin and S. Pagiatakis, “Least squares spectrum analysis and its application to superconducting gravimeter data analysis,” Geo-Spatial Information Science, vol. 7, no. 4, pp. 279–283, 2004.
  26. S. D. Pagiatakis, H. Yin, and M. A. El-Gelil, “Least-squares self-coherency analysis of superconducting gravimeter records in search for the Slichter triplet,” Physics of the Earth and Planetary Interiors, vol. 160, no. 2, pp. 108–123, 2007. View at Publisher · View at Google Scholar · View at Scopus
  27. R. V. Hogg and A. T. Craig, Introduction to Mathematical Statistics, Prentice-Hall, Upper Saddle River, NJ, USA, 6th edition, 2005.
  28. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover Publications, 1965.
  29. J. B. Merriam, “An ephemeris for gravity tide predictions at the nanogal level,” Geophysical Journal International, vol. 108, no. 2, pp. 415–422, 1992. View at Scopus
  30. M. Van Camp, H. G. Wenzel, P. Schott, P. Vauterin, and O. Francis, “Accurate transfer function determination for superconducting gravimeters,” Geophysical Research Letters, vol. 27, no. 1, pp. 37–40, 2000. View at Publisher · View at Google Scholar · View at Scopus