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The determination of potential difference by the joint application of measured and synthetical gravity data: a case study in Hungary / G. Papp in Journal of geodesy, vol 83 n° 6 (June 2009)  

Public [article]  inJournal of geodesy > vol 83 n° 6 (June 2009) . - pp 509 - 521 Titre : The determination of potential difference by the joint application of measured and synthetical gravity data: a case study in Hungary Type de document : Article/Communication Auteurs : G. Papp, Auteur ; E. Szeghy, Auteur ; J. Benedek, Auteur Année de publication : 2009 Article en page(s) : pp 509 - 521 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] anomalie de Bouguer [Termes IGN] champ de pesanteur terrestre [Termes IGN] distance euclidienne [Termes IGN] Hongrie [Termes IGN] levé gravimétrique [Termes IGN] modèle numérique de terrain [Termes IGN] nivellement [Termes IGN] potentiel de pesanteur terrestre Résumé : (Auteur) In an elementary approach every geometrical height difference between the staff points of a levelling line should have a corresponding average g value for the determination of potential difference in the Earth’s gravity field. In practice this condition requires as many gravity data as the number of staff points if linear variation of g is assumed between them. Because of the expensive fieldwork, the necessary data should be supplied from different sources. This study proposes an alternative solution, which is proved at a test bed located in the Mecsek Mountains, Southwest Hungary, where a detailed gravity survey, as dense as the staff point density (~1 point/34 m), is available along a 4.3-km-long levelling line. In the first part of the paper the effect of point density of gravity data on the accuracy of potential difference is investigated. The average g value is simply derived from two neighbouring g measurements along the levelling line, which are incrementally decimated in the consecutive turns of processing. The results show that the error of the potential difference between the endpoints of the line exceeds 0.1 mm in terms of length unit if the sampling distance is greater than 2 km. Thereafter, a suitable method for the densification of the decimated g measurements is provided. It is based on forward gravity modelling utilising a high-resolution digital terrain model, the normal gravity and the complete Bouguer anomalies. The test shows that the error is only in the order of 10-3mm even if the sampling distance of g measurements is 4 km. As a component of the error sources of levelling, the ambiguity of the levelled height difference which is the Euclidean distance between the inclined equipotential surfaces is also investigated. Although its effect accumulated along the test line is almost zero, it reaches 0.15 mm in a 1-km-long intermediate section of the line. Copyright Springer Numéro de notice : A2009-284 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-008-0257-2 En ligne : https://doi.org/10.1007/s00190-008-0257-2 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=29914 [article]

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