Abstract
The representation of the topography is usually made by digital height models and digital density models. Therefore, one can produce the so-called digital Moho model by applying a certain isostatic hypothesis. The attraction of the topographic-isostatic masses is derived. Also, the case of distant mass elements is treated. The procedure of calculating the attraction of the topographic masses from a combination of digital models of different grid sizes is widely studied. The limitations of using the formula of the distant mass elements for both the topographic and the isostatic masses, along with their relative errors, are illustrated. The results show that using an artificial very fine digital height model in the neighbourhood of the computational point (about 2.5 km) gives the minimum errors on calculating the attraction of the topographic masses.
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References
Abd-Elmotaal, H. (1991) Gravity Anomalies Based on the Vening Meinesz Isostatic Model and Their Statistical Behaviour, Mitteilungen der geodätischen Institute der Technischen Universität Graz, 72.
Gradshteyn, I.S. and Ryzhik, I.M. (1965) Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, London.
Hanafy, M.S. (1987) Gravity Field Data Reduction Using Height, Density and Moho Information, Ph.D. Dissertation, Graz University of Technology.
Heiskanen, W.A. and Moritz, H. (1967) Physical Geodesy, Freeman, San Francisco.
Kühtreiber, N., Kraiger, G. and Meurers, B. (1989) Pilotstudien für eine neue Bouguer Karte von Osterreich, Österreichische Beiträge zu Meteorologie und Geophysik, 2, 51–72.
Vening Meinesz, F.A. (1931) Une Nouvelle Methode pour la Réduction Isostatique Régionale de L’intensité de la Pesanteur, Bulletin Géodésique, 29, 33–51.
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© 1995 Springer-Verlag Berlin Heidelberg
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Abd-Elmotaal, H.A. (1995). On Calculating the Attraction of the Topographic-Isostatic Masses. In: Sansò, F. (eds) Geodetic Theory Today. International Association of Geodesy Symposia, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79824-5_45
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DOI: https://doi.org/10.1007/978-3-642-79824-5_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59421-5
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