한국측량학회지 (Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography)

  • 제27권6호
  • /
  • Pages.699-710
  • /
  • 2009
  • /
  • 1598-4850(pISSN)
  • /
  • 2288-260X(eISSN)
한국측량학회 (Korean Society of Surveying, Geodesy, Photogrammetry and Cartography)
권호 표지

필리핀 지오이드모델의 개발방안 연구

A Study on Geoid Model Development Method in Philipphines

  • 이석배 (진주산업대학교 토목공학과) ;
  • 발행 : 2009.12.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

한 국가에서 지오이드모델은 그 나라의 일관된 표고기준면을 제공함으로써 정확한 정표고를 결정할 수 있게 하며, 국가기준점의 평면위치 결정시 지오이드고를 고려한 측지망 조정계산을 실시함으로써 좌표결정의 정확도를 높일 수 있다. 본 연구는 말레이시아나 인도네시아와 비슷한 조건의 동남아시아 국가인 필리핀이 자국의 지오이드모델을 어떻게 개발하는 것이 최선인지 그 방법론을 연구한 연구이다. 따라서 본 연구에서는 전반적인 지오이드 결정이론을 살펴보고, 아시아 국가들에서의 지오이드 개발사례를 통하여 필리핀 일원에 가장 적합한 지오이드 모델 개발방안을 제시하고자 하였으며, 필리핀 일원에서 최신의 지구중력장 모델인 EGM2008을 해석하여 지오이드고와 중력이상을 계산하였다. 연구결과 항공중력방법에 기반한 중력 지오이드모델을 개발하고, 200점 내외의 GPS/leveling데이터에 의한 기하학적 지오이드고를 합성하여 하이브리드 지오이드 모델을 개발하는 것이 가장 합리적인 방법으로 연구되었다. 또한 스토크스적분의 수행은 4밴드 구면 FFT방법이, 중력지오이드모델 개발에는 EGM2008과 SRTM에 의한 remove and restore 기법이, 하이브리드 지오이드모델의 개발에는 Least square collocation 알고리즘이 제안되었다.

If a country has her geoid model, it could be determine accurate orthometric height because the geoid model could provide continuous equi-gravity potential surface. And it is possible to improve the coordinates accuracy of national control points through geodetic network adjustment considering geoidal heights. This study aims to find the best way to develop geoid model in Philippines which have similar topographic conditions as like Malaysia and Indonesia in Eastsouth asia. So, in this study, it is surveyed the general theories of geoid determination and development cases of geoid model in Asia and it is computed that the geoidal heights and gravity anomalies by spherical harmonic analysis using EGM2008, the latest earth geopotential model. The results show that first, the development of gravimetric geoid model based on airborne gravimetry is needed and second, about 200 GPS surveying data at national benchmark is needed. It is concluded that it is the most reasonable way to develop the hybrid geoid model through fitting geometric geoid by GPS/leveling data to gravimetric geoid. Also, it is proposed that four band spherical Fast fourier transformation(FFT) method for evaluation of Stokes integration and remove and restore technique using EGM2008 and SRTM for calculation of gravimetric geoid model and least square collocation algorithm for calculation of hybrid geoid model.

키워드

참고문헌

  1. Denker H. and Wenzel H.-G. (1987) Local geoid determination and comparison with GPS results, Bulletin Geodesique, Vol. 61, pp. 349-366 https://doi.org/10.1007/BF02520560
  2. Forsberg R. (2005) Towards a cm-geoid for Malaysia, Geodynamics Department Danish National Space Center, Denmark
  3. Forsberg R. Olsen A. (2006) Gravity field determination by combination of satellite, airborne and surface gravity data, International Workshop on Height Systems, Geoid and Gravity in the Asia-Pacific Region, June 6-8, 2006, Ulaanbaatar, Mongolia.
  4. Heiskanen W.A. and Moritz H. (1967), Physical Geodesy. W.H. Freeman and Co., San Fransisco
  5. Kuroishi Y. Ando H. and Fukuda Y. (2002) A new hybrid geoid model for japan, GSIGEO2000, Journal of Geodesy, Vol. 76, No. 8, pp. 428-436 https://doi.org/10.1007/s00190-002-0266-5
  6. Marsh J.G. Lerch F.J., Putney B.H., Christodoulidis D.C., Smith D.E., Felsentreger T.L., Sanchez B.V., Klosko S.M., Pavlis E.G., Martin T.V., Robbins J.W., Williamson R.G., Colombo O.L., Rowlands D.D., Eddy W.F., Chandler N.L., Rachlin K.E., Patel G.B., Bhati S. and Chinn D.S. (1988) A new gravitational model for the Earth from satellite tracking data : GEM-T1. Journal of Geophysical Research, Vol. 93, No. B6, pp. 6169-6215 https://doi.org/10.1029/JB093iB06p06169
  7. Marsh J.G. Lerch, F. J. Nerem, R. S. Putney, B. H. Felsentreger, T. L. Sanchez, B. V. Klosko, S. M. Patel, G. B. Williamson, R. G. Chinn, D. S. and Chan, J. C., (1989) The GEM-T2 gravitational model, NASA Technical Memorandum 100746, NASA/GSFC
  8. Rapp R. H. and J. Y. Cruz (1986), Spherical Harmonic Expansions of the Earth's Gravitational Potential to Degree 360 Using 30' Mean Anomalies, Report No. 376, Dept of Geodetic Science and Surveying, The Ohio State University, Columbus
  9. Rapp R.H. and N.K. Pavlis (1990), The Development and Analysis of Geopotential Coffecient Models to Spherical Harmonic Degree 360, Journal of Geophysical Research, Vol. 95 No. B13, pp. 21885-21911 https://doi.org/10.1029/JB095iB13p21885
  10. Lemoine F.G., E.C. Pavlis, N.K. Pavlis, R.H. Rapp, (1996) The Development of the NASA GSFC and DMA Joint Geopotential Model, Inernational Symposium on Gravity, Geoid, and Marine Geodesy 1996(GraGeoMar96), September 30 - October 5, 1996, Tokyo, Japan, p. 146
  11. Iliffe, J.C. Ziebart M. Cross P.A. Forsberg R. Strykowski G. and Tscherning C.C. (2003) OSGM02: a new model for converting GPS-derived heights to local height datums in Great Britain and Ireland, Survey Review, 37(290), pp. 276-293
  12. Olsen A.V. Forsberg R. Keynon S.C. Sandaar M. (2006), Airborne Gravity Survey of Mongolia 2004-2005, Height System, Geoid and Gravity of the Asia-Pacific, IGFS International Workshop, Ulaanbaatar, Mongolia, 6 - 8 June, 2006
  13. Pavlis, N.K., Rapp, R.H., Lemoine, F.G., and Kenyon, S.C. (1996) High Resolution Global Geopotential Models for the Joint GSFC/DMA Project, Inernational Symposium on Gravity, Geoid, and Marine Geodesy 1996(GraGeoMar96), September 30 - October 5, p. 147
  14. Pavlis, N.K. Holmes S.A., Kenyon S.C., and Factor J.K. (2008), EGM2008: An Overview of its Development and Evaluation, An IAG International Symposium on Gravity, Geoid and Earth Observation 2008, 23-27 June, Chania, Crete, Greece
  15. Saandar, M. Kenyon, S. Forsberg, R. Enkhbayar, M. (2008), New Advances in Defining the Mongolian Gravimetric Geoid, American Geophysical Union, Fall Meeting 2008, 15-19, December, Sanfrancisco, USA
  16. Tapley, B.D, Shum, C.K. Ries J.C. Suter R. (1996), The TEG-3 Earth Geopotential Model, Inernational Symposium on Gravity, Geoid, and Marine Geodesy 1996(GraGeoMar96), September 30 - October 5, p. 145
  17. Torge, W. (1991), Geodesy, Walter de Gruyter, Berlin
  18. Tscherning C.C. Knudsen P. and Forsberg R. (1994) Description of the GRAVSOFT package, Technical Report, Geophysical Institute, University of Copenhagen, Denmark
  19. Vella M. N. J. P.(2003), A new precise Co-geoid determined by spherical FFT for the Malaysian peninsula, Earth Planets Space, 55, pp. 291-299 https://doi.org/10.1186/BF03351763
  20. Zhonglovich, I.D. (1956), Determination of the dimensions of the general terrestrial ellipsoid, Tr. Inst. Teor. Astronomy, 6, pp. 5-66