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Regional geoid computation by least squares modified Hotine's formula with additive corrections
KTH.
2018 (English)In: Journal of Geodesy, ISSN 0949-7714, E-ISSN 1432-1394, Vol. 92, no 3, p. 253-270Article in journal (Refereed) Published
Abstract [en]

Geoid and quasigeoid modelling from gravity anomalies by the method of least squares modification of Stokes's formula with additive corrections is adapted for the usage with gravity disturbances and Hotine's formula. The biased, unbiased and optimum versions of least squares modification are considered. Equations are presented for the four additive corrections that account for the combined (direct plus indirect) effect of downward continuation (DWC), topographic, atmospheric and ellipsoidal corrections in geoid or quasigeoid modelling. The geoid or quasigeoid modelling scheme by the least squares modified Hotine formula is numerically verified, analysed and compared to the Stokes counterpart in a heterogeneous study area. The resulting geoid models and the additive corrections computed both for use with Stokes's or Hotine's formula differ most in high topography areas. Over the study area (reaching almost 2 km in altitude), the approximate geoid models (before the additive corrections) differ by 7 mm on average with a 3 mm standard deviation (SD) and a maximum of 1.3 cm. The additive corrections, out of which only the DWC correction has a numerically significant difference, improve the agreement between respective geoid or quasigeoid models to an average difference of 5 mm with a 1 mm SD and a maximum of 8 mm.

Place, publisher, year, edition, pages
SPRINGER , 2018. Vol. 92, no 3, p. 253-270
Keyword [en]
Geoid, Gravity anomaly, Gravity disturbance, Hotine, Quasigeoid, Stokes
National Category
Geophysics Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-224009DOI: 10.1007/s00190-017-1061-7ISI: 000425952500003Scopus ID: 2-s2.0-85029122520OAI: oai:DiVA.org:kth-224009DiVA, id: diva2:1192885
Note

QC 20180323

Available from: 2018-03-23 Created: 2018-03-23 Last updated: 2018-03-23Bibliographically approved

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Sjöberg, Lars E.

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CiteExportLink to record
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  • apa
  • harvard1
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  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
  • html
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