TECHNICAL PAPERS
Jan 16, 2004

Comparison of Remove-Compute-Restore and University of New Brunswick Techniques to Geoid Determination over Australia, and Inclusion of Wiener-Type Filters in Reference Field Contribution

Publication: Journal of Surveying Engineering
Volume 130, Issue 1

Abstract

The commonly adopted remove-compute-restore (RCR) technique for regional gravimetric geoid determination uses the maximum degree of a combined global geopotential model and regional gravity data via the spherical Stokes integral. The University of New Brunswick’s (UNB) technique involves the use of a deterministically modified integration kernel, a degree-20 satellite-only reference field, integration of high-frequency terrestrial gravity anomalies over a spherical cap of 6° radius about each computation point, and a separate computation of the truncation bias used Degrees 21–120 of a combined global geopotential model. Both approaches are tested over Australia and the resulting geoid models compared with a nationwide dataset of 1,013 Global Positioning System (GPS)-leveled points, and with the most recent Australian geoid model, AUSGeoid98. A subsequent experiment considers the commission errors in the reference field used by applying a Wiener-type filter based on the global degree- and error-degree variances of the EGM96 combined and EGM96S satellite-only global geopotential models. The theoretical basis of this adapted approach will be presented, together with comparisons of the resulting geoid solution with the 1,013 GPS-leveling data, UNB, RCR, and AUSGeoid98 solutions.

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References

Featherstone, W. E.(1998). “Do we need a gravimetric geoid or a model of the base of the Australian Height Datum to transform GPS heights?” The Australian Surveyor,43, 273–280.
Featherstone, W. E.(2003). “Software for computing five existing types of deterministically modified integration kernel for gravimetric geoid determination.” Comput. Geosci., 29(2), 183–193.
Featherstone, W. E. (2002). “Tests of two forms of Stokes’s integral using a synthetic gravity field based on spherical harmonics.” Geodesy—The challenge for the third millennium, E. W. Grafarend, F. W. Krumm, and V. S. Schwarze, eds., Springer, Berlin, 163–171.
Featherstone, W. E., et al. (2001). “The AUSGeoid98 geoid model of Australia: Data treatment, computations and comparisons with GPS-levelling data.” J. Geod.,75, 313–330.
Featherstone, W. E., and Guo, W.(2001). “Evaluations of the precision of AUSGeoid98 versus AUSGeoid93 using GPS and Australian Height Datum data.” Geomatics Res. Australas.,74, 75–100.
Featherstone, W. E., and Sideris, M. G. (1998). “Modified kernels in spectral geoid determination: First results from Western Australia.” Geodesy on the move: Gravity, geoids, geodynamics, and Antarctica, R. Forsberg, M. Feissl, and R. Dietrich, eds., Springer, Berlin, 188–193.
Forsberg, R.(1998). “The use of spectral techniques in gravity field modelling: Trends and perspectives.” Phys. Chem. Earth, 23, 31–39.
Fotopoulos, G., Kotsakis, C., and Sideris, M. G.(1999). “A new Canadian geoid model in support of levelling by GPS.” Geomatica,53, 53–62.
Haagmans, R. R. N., de Min, E., and van Gelderen, M.(1993). “Fast evaluation of convolution integrals on the sphere using 1D-FFT, and a comparison with existing methods for Stokes’s integral.” Manuscr. Geod.,18, 227–241.
Heiskanen, W. H., and Moritz, H. (1967). Physical geodesy, Freeman, San Francisco.
Kadir, M. A., Fashir, H. H., and Omar, K.(1999). “A regional gravimetric co-geoid over South East Asia.” Geomatics Res. Australas.,71, 37–56.
Lambeck, K., and Coleman, R.(1983). “The Earth’s shape and gravity field: A report of progress from 1958 to 1982.” Geophys. J. R. Astron. Soc., 74, 25–54.
Lemoine, F. G., et al. (1998). “The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96.” Rep., NASA/TP-1998-206861, National Aeronautics and Space Administration, Washington, D.C.
Martinec, Z. (1993). “Effect of lateral density variations of topographical masses in improving geoid model accuracy over Canada.” Contract Rep. Prepared for Geodetic Survey Div., Geomatics Canada, Ottawa.
Martinec, Z., and Vanı´ček, P.(1996). “Formulation of the boundary-value problem for geoid determination with a higher-degree reference field.” Geophys. J. Int., 126, 219–228.
Molodensky, M. S., Eremeev, V. F., and Yurkina, M. I. (1962). Methods for study of the external gravitational field and figure of the Earth, Israeli Programme for the Translation of Scientific Publications, Jerusalem.
Novàk, P., Vanı´ček, P., Véronneau, M., Holmes, S. A., and Featherstone, W. E.(2001). “On the accuracy of modified Stokes’s integration in high-frequency gravimetric geoid determination.” J. Geod., 74, 644–654.
Paul, M. K.(1973). “A method of evaluating the truncation error coefficients for geoidal height.” Bull. Geod., 47, 413–425.
Schwarz, K. P., Sideris, M. G., and Forsberg, R.(1990). “The use of FFT techniques in physical geodesy.” Geophys. J. Int., 100, 485–514.
Sideris, M. G. (1994). “Geoid determination by FFT techniques.” Lecture Notes, International School for the Determination and Use of the Geoid, DIIAR, Politecnico di Milano, Milan, Italy.
Sideris, M. G., and Schwarz, K. P. (1987). “Improvement of medium and short wavelength features of geopotential solutions by local gravity data.” Boll. Geod. Sci. Affini, Vol. XLVI, 207–221.
Sjöberg, L. E.(1984). “Least squares modification of Stokes’s and Vening Meinesz’s formulas by accounting for the truncation and potential coefficient errors.” Manusr. Geod.,9, 209–229.
Sjöberg, L. E.(1991). “Refined least squares modification of Stokes’s formula.” Manusr. Geod.,16, 367–375.
Sjöberg, L. E., and Hunegnaw, A.(2000). “Some modifications of Stokes’s formula that account for truncation and potential coefficient errors.” J. Geod.,74, 232–238.
Smith, D. A., and Milbert, D. G.(1997a). “Evaluation of the EGM96 model of the geopotential in the United States.” Int. Geoid Service Bull.,6, 33–46.
Smith, D. A., and Milbert, D. G.(1997b). “Evaluation of preliminary models of the geopotential in the United States.” Int. Geoid Service Bull.,6, 7–32.
Vanı´ček, P., et al. (1987). “The Canadian geoid.” Rep. 129, Dept. of Geodesy and Surveying Engineering, Univ. of New Brunswick, Fredericton, Canada.
Vanı´ček, P., et al. (1995). “Compilation of a precise regional geoid.” Contract Rep. Prepared for Geodetic Survey Div.
Vanı´ček, P., et al. (1999). “Determination of the boundary values for the Stokes-Helmert problem.” J. Geod.,73, 180–192.
Vanı´ček, P., and Featherstone, W. E.(1998). “Performance of three types of Stokes’s kernel in the combined solution for the geoid.” J. Geod.,72, 684–697.
Vanı´ček, P., and Kleusberg, A.(1987). “The Canadian geoid—Stokesian approach.” Manusr. Geod.,12, 86–98.
Vanı´ček, P., and Sjöberg, L. E.(1991). “Reformulation of Stokes’s theory for higher than second-degree reference field and modification of integration kernels.” J. Geophys. Res., [Solid Earth], 96(B4), 6529–6539.
Vanı´ček, P., Zhang, C., and Ong, P. (1990). “Computation of a file of geoidal heights using Molodensky’s truncation method.” Rep. 147, Dept. of Geodesy and Surveying Engineering, Univ. of New Brunswick, Fredericton, Canada.
Wenzel, H. G. (1982). “Geoid computation by least squares spectral combination using integral kernels.” Proc., General Meeting of Int. Association of Geodesy, Tokyo, 438–453.
Wichiencharoen, C. (1982). “The indirect effects on the computation of geoid undulations.” Rep. 336, Dept. of Geodetic Science, Ohio State Univ., Columbus, Ohio.

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Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 130Issue 1February 2004
Pages: 40 - 47

History

Received: Apr 4, 2002
Accepted: Dec 23, 2002
Published online: Jan 16, 2004
Published in print: Feb 2004

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Authors

Affiliations

W. E. Featherstone
Professor, Western Australian Centre for Geodesy, Curtin Univ. of Technology, G.P.O. Box U1987, Perth 6845, Australia (corresponding author).
S. A. Holmes
Senior Physics Engineer, Raytheon ITSS, 1616 McCormick Drive, Upper Marlboro, MD 20774.
J. F. Kirby
Lecturer, Western Australian Centre for Geodesy, Curtin Univ. of Technology, G.P.O. Box U1987, Perth 6845, Australia.
M. Kuhn
ARC Research Fellow, Western Australian Centre for Geodesy, Curtin Univ. of Technology, G.P.O. Box U1987, Perth 6845, Australia.

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