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On the topographic bias by analytical continuation in geoid determination
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering. Division of Geodesy and Satellite Positioning, Royal Institute of Technology (KTH), SE-100 44, Stockholm (SWE).ORCID iD: 0000-0001-7810-8829
2023 (English)In: Studia Geophysica et Geodaetica, ISSN 0039-3169, E-ISSN 1573-1626, Vol. 67, p. 27-38Article in journal (Refereed) Published
Abstract [en]

We consider the topographic bias in gravimetric geoid determination when analytically downward continuing the disturbing potential from the Earth’s surface to sea level. The total bias is subdivided into those of the Bouguer shell or plate and the terrain. In this process, the potential of the Bouguer shell always has a downward continuation bias in the process, which increases with the square of the topographic height and typically exceeds 1−2 cm for elevations higher than 1 km. The main conclusion is that the terrain does not provide a potential bias except possibly for masses located inside a dome of height of about 0.4 times the height of the computation point, and base radius equal to the height of the computation point. This result implies that the potential of all terrain masses of arbitrary density located exterior to the Bouguer shell as well as those outside the dome are unbiasedly downward continued to sea level.

Place, publisher, year, edition, pages
Springer, 2023. Vol. 67, p. 27-38
Keywords [en]
analytical continuation, downward continuation, inverse problems in gravimetry, geoid determination, terrain bias, topographic bias
National Category
Geophysics
Identifiers
URN: urn:nbn:se:hv:diva-19992DOI: 10.1007/s11200-022-0337-4ISI: 000975184500001Scopus ID: 2-s2.0-85153337584OAI: oai:DiVA.org:hv-19992DiVA, id: diva2:1762185
Available from: 2023-06-02 Created: 2023-06-02 Last updated: 2024-01-15Bibliographically approved

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Sjöberg, Lars

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