Abstract
The gravity field approximation for the Central Mediterranean is attempted using (a) seagravimetry, (b) bias and tilt adjusted satellite altimetry, (c) bathymetry and mean heights and (d) a “tailored” spherical harmonic coefficient set complete to degree 360 (IfE88). A number of numerical tests is carried out to check the compatibility of the different data types. The Least Squares Collocation (LSC) and the parametric LSC methods are used to predict subsets of the data types(a) and for (b) from subsets of the same data types. The above tests show that the combination of such different data sets gives the optimal approximation of the gravity field in terms of the standard deviation (s.d.) of the observed minus predicted values. Using as input data in the parametric LSC method the data types (a) and (b) (in un-adjusted form) and after the removal of the terrain effect and the contribution of the geopotential model used, an accuracy ±4.3 mgal for gravity anomalies and ±0.04 m for geoidal heights is achieved.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Arabelos, D. and Tscherning C.C. (1988). Gravity field mapping from satellite altimetry, sea-gravimetry and bathymetry in the Eastern Mediterranean, Geophysical Journal 92, 195–206.
Arabelos, D. and Tscherning C.C. (1988). Gravity field mapping from satellite altimetry, sea-gravimetry and bathymetry in the Eastern Mediterranean, Geophysical Journal 92, 195–206.
Arabelos, D., Tziavos, I.N. and Forsberg, R. (1989). Sea surface height determination in the Mediterranean Sea by local adjustment of GEOSAT altimeter data, Presented at the Int. IAG General Assembly, Edinbourgh.
Basiç, T. (1989). Untersuchungen zur regionalen Geoidbestimmung mit “dm”-Genauigkeit,Wiss. Arb. der Fachr. Vermessungswesen der Universität Hannover, Nr. 157, Hannover.
Cheney, R.E., Douglas, B.C., Agreen, R.W., Miller, L., Porter, D.L., Doyle, M.S., (1987). GEOSAT altimeter geophysical data record handbook, NOAA technical memorandum NOS NGS-46.
Denker, H. (1988). Hochauflösende regionale Schwerefeldbestimmung mit gravimetrischen und topographischen Daten,Wiss. Arb. der Fachr. Vermessungswesen der Universität Hannover, Nr. 156, Hannover.
Forsberg, R. and Tscherning, C.C. (1981). The use of height data in gravity field approximation, J. Geophys. Res. 86, 7843–7854.
Forsberg, R. (1985). Gravity field terrain effect computation, Bull. Géod. 59, 342–360.
Forsberg, R. and Sideris, M.G. (1988). The role of the topography in geodetic gravity field modelling, Presented to Chapman Conference on Progress in the Determination of Earth’s Gravity Field, Ft. Lauderdale, Florida, Sept. 13–16.
Heiskanen, W. and Moritz, H. (1967). Physical Geodesy, W.H. Freeman, San Francisco.
Kearsley, A.H.W. and Forsberg, R. (1989). Tailored geopotential models - applications and shortcomings, Unpublished Report.
Knudsen, P. (1986). Simultaneous use of gravity and satellite altimeter data for geoid de-termination, Int. Symp. on the definition of the Geoid, Florence, 1986, May 26–30.
Moritz, H. (1978). Least squares collocation, Rev. Geophys. Sp. Phys. 16, 421–430.
Rowlands, D. (1981). The adjustment of SEASAT altimeter data on a global basis for geoid and sea surface height determinations, Dept. of Geod. Sci., Rep. 325, Ohio State Univ., Columbus.
Rapp, R.H. and Cruz, J.Y. (1986). Spherical harmonic expansions of the earth’s gravitational potential to degree 360 using 30’ mean anomalies,Dept. of Geod. Sci., Rep. 376, Ohio State Univ., Columbus.
Torge, W., Basiç, T., Denker, H., Doliff, J. and Wenzel, H.G. (1989). Long range geoid control through the European GPS traverse, DGK, Reihe B, Heft Nr. 290, München.
Tscherning, C.C. (1976). Determination of datum shift parameters using least squares collocation, Boll. Geod. Sci. Aff. 2, 173–183.
Tscherning, C.C. (1985). GEOCOL- A Fortran -program for gravity field approximation by collocation, Technical Note, Geodetic Institut, 3rd ed.
Tscherning, C.C., Sanso, F. and Arabelos, D. (1986). Merging regional geoids. Preliminary considerations and experiences, Boll. Geod. Sci. Aff. 3, 191–206.
Weber, G. and Zomorrodian, H. (1988). Regional geopotential model improvement for the Iranian geoid determination, Bull. Géod. 135, 125–141.
Wenzel, H.-G. (1985). Hochauflösende Kugelfunktionsmodelle für das Gravitationspotential der Erde, Wiss. Arb. der Fachr. Vermessungswesen der Universität Hannover, Nr. 137, Hannover.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag New York Inc.
About this paper
Cite this paper
Arabelos, D., Tziavos, I.N. (1991). Estimation of the Gravity Field and Sea Surface Heights from Heterogeneous Data in the Central Mediterranean. In: Rapp, R.H., Sansò, F. (eds) Determination of the Geoid. International Association of Geodesy Symposia, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3104-2_9
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3104-2_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97470-5
Online ISBN: 978-1-4612-3104-2
eBook Packages: Springer Book Archive