Precise Geoid Model for Korea from Gravity and GPS Data

  • Choi, Kwang-Sun (Division of Science Education, Pusan National University) ;
  • Won, Ji-Hoon (Division of Science Education, Pusan National University) ;
  • Shin, Young-Hong (Division of Science Education, Pusan National University)
  • Published : 20060000

Abstract

The data, methodology, and the resulting accurate gravimetric geoid model for the Korean Peninsula (latitude from 32˚ N to 40˚ N and longitude from 124˚ E to 131˚ E) are presented in this study. The types of used data were a high degree geopotential model (the EGM96 spherical harmonic coefficient set), a set of 12,615 land gravity observations, 1,056,075 shipborne gravity observations, and KMS2002 gravity anomalies from satellite altimetry. The remove-restore technique was successfully applied to combining the above mentioned data sets using up to degree and order 112 of the EGM96 coefficient. The residual geoid was calculated with residual Free-Air anomaly values using the spherical Stokes' formula with a 37-km integration cap radius. The geoid model was referred to WGS84 geodetic system and was tested using a set of GPS/levelling geoid undulations. The absolute accuracy is 0.132 m and some improvement compared to the PNU95 geoid model was found.

Keywords

References

  1. Andersen, O. B. and Knudsen P., 1998, Global marine gravity field from the ERS-1 and Geosat geodetic mission altimetry, J. Geophys. Res. V.103, p.8129-8137 https://doi.org/10.1029/97JC02198
  2. Andersen, O. B., Knudsen, P., Kenyon, S., and Trimmer, R., 2003, KMS2002 Global Marine Gravity Field, Bathymetry, and Mean Sea Surface, Poster, IUGG 2003, Sapporo, Japan, June 30-July 11, 2003
  3. Choi, K. S., 1986, A study on the gravity in the southern part of the Korean Peninsula , Ph. D. thesis, Seoul National University, Seoul, 110p. (in Korean)
  4. Choi, K. S. and Kim, K. O., 1996, Underground Structure by Analysing Gravity Data in and Around the Chindong Area, Kyoungnam, Journal of the Korean Earth Science Society, V.17, p241-253. (in Korean with English abstract)
  5. Choi, K. S. and Lee, J. M., 1997, A Study on the Orthometric Height Correction in Mt. Hangye Area, Journal of the Korean Earth Science Society, V.18, p.522-528. (in Korean with English abstract)
  6. Choi, K. S. and Park, M. H., 1999, A study on the Underground Structure by Analysing Gravity Data in and around Mt. Chum, Sunchun, Chellanam-Do, Journal, College of Education, V.37, p.167-186. (in Korean)
  7. Choi, K. S., Kim, J. H., and Yang, C. S., 1996, Gravity Survey over Mt. Jiri Area, Journal of the Korean Earth Science Society, V.17, p.422-428. (in Korean with English abstract)
  8. Choi, K. S., Kim, J. H., and Yang, C. S., 1997, PNU95 Geoid, Korean Journal of Geophysical Research, V.25, p.1-13
  9. Choi, K. S., Park, P. H., and Shin, Y. H., 1998, Gravity Surveying with GPS, Journal of the Korean Earth Science Society, V.19, p.120-126. (in Korean with English abstract)
  10. Choi, K. S., Ok, S. S., and Won, J. H., 2001, Establishment of Gravimeter Bases in Korea, Journal of the Korean Geophysical Society, V.4, p.121-131. (in Korean with English abstract)
  11. Choi, K. S., Shin, Y. H., Yang, C. S., and Ok, S. S., 2003, On the Improvement of Precision in Gravity Surveying and Correction, and a Dense Bouguer Anomaly in and Around the Korean Peninsula, Journal of the Korean Earth Science Society, V.24, p.205-215
  12. Featherstone, W. E., 2001, Absolute and relative testing of gravimetric geoid models using Global Positioning System and orthometric height data, computaters & Geosciences, V.27, p.807-814 https://doi.org/10.1016/S0098-3004(00)00169-2
  13. Featherstone, W. E. and Kirby, J. F., 2000, The reduction of aliasing in gravity anomalies and geoid heights using digital terrain data, Geophys. J. Int., V.141, p.204-212 https://doi.org/10.1046/j.1365-246X.2000.00082.x
  14. Featherstone, W. E., Kirby, J. E., Kearsley, A. H. W., Cilliland, J. R., and Johnston, G. M., 2001, The AUSGeoid98 geoid model of Australia: data treatment, computations, and comparisons with GPS-levelling data, J. of Geodesy, V.75, p.313-330 https://doi.org/10.1007/s001900100177
  15. GSJ, 2000, Gravity CD-ROM of Japan, Digital Geoscience Map P-2, Geological Survey of Japan
  16. Heiskanen, W. A. and Moritz, H., 1967, Physical Geodesy, W. H. Freeman and Company, San Francisco and London, 364p
  17. Kirby, J. F. and Forsberg, R., 1998, A comparison of techniques for the integration of satellite altimeter and surface gravity data for geoid determination, in Geodesy on the move, Forsberg, Feissel, and Dietrich (eds.), IAG symposia, Brazil, V.119, Springer-Verlerg, p.207-212
  18. Kuroishi, Y., 2001, An improved gravimetric geoid for Japan, JGEOID98, and relationships to marine gravity data, J. of Geodesy, V.74, p.745-755 https://doi.org/10.1007/s001900000129
  19. Lemoine, F. G., Kenyon, S. C., Factor, J. K., Trimmer, R. G., Pavlis, N. K., Chinn, D. S., Cox, C. M., Klosko, S. M., Luthcke, S. B., Torrence, M. H., Wang, Y. M., Williamson, R. G., Pavlis, E. C., Rapp, R. H., and Olson, T. R., 1998, The Development of the Joint NASA GSFC and the Mational Imagery and mapping Agency(NIMA) Geopotential Model EGM96, NASA/ TP-1998-206861, 575p
  20. Moritz, H., 1980, Advanced physical geodesy, Herbert Wichmann Berlag, Karlsruhe, 500p
  21. Paek, R. J., Kang, H. G., and Jon, G. P., 1996, Geology of Korea, Institute of Geology, State Academy of Sciences, DPR of Korea, Foreign Languages Books Publishing House, Second edition, 631p
  22. Rapp, R. H., 1971, Methods for the computation of geoid undulations from potential coefficients, Bulletin Geodesique, V.101, p.283-297 https://doi.org/10.1007/BF02521879
  23. Rapp, R. H., 1997a, Use of potential coefficient models for geoid undulation determination using a spherical harmonic representation of the height anomaly/geoid undulations difference, J. of Geodesy, V.71, p.282-299 https://doi.org/10.1007/s001900050096
  24. Rapp, R. H., 1997b, Global models for the 1cm geoid-present status and near term prospects, in Geodetic Boundary Value Problems in View of the One Centimeter Geoid, Sanso and Rummel(eds.) Lecture Notes in Earth Science, Springer-Verlag, Berlin, p.272-311
  25. Sideris, M. G., 1997b, International tests of the new GSFC/DMA geopotential models, in Gravity, Geoid, and Marine Geodesy, Segawa, Fujimoto, and Okubo (eds.), IAG Symposia, Japan, Y.117, Springer-Verlag, p.478-485
  26. Torge, W., 2001, Geodesy, Third edition, Walter De Gryuter & Co., Berlin, 416p
  27. Tscherning, 1997, Geoid determination by least squares collocation using GRAVSOFT, in Lecture Notes of the International School for the Determination and Use of the Geoid, Rio de Janeiro (ed.), International Geoid Service, p.183-212