Geoid modeling by the least squares modification of Hotine's and Stokes' formulae using non-gridded gravity data

Sakil F. F., Erol S., Ellmann A., Erol B.

COMPUTERS & GEOSCIENCES, vol.156, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 156
  • Publication Date: 2021
  • Doi Number: 10.1016/j.cageo.2021.104909
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Aquatic Science & Fisheries Abstracts (ASFA), CAB Abstracts, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Geoid, Gravity disturbance, Gravity anomaly, Hotine's integral, Stokes' integral, Voronoi polygons, Auvergne, GRAPHICAL USER-INTERFACE, 3 STOCHASTIC MODIFICATIONS, ULTRA-HIGH DEGREES, COMPUTING FUNCTIONALS, COMPUTATION, PROGRAM, KERNEL
  • Istanbul Technical University Affiliated: Yes


The paper deals with geoid modeling using the least-squares modification of the Stokes' and Hotine's formulae using gridded and non-gridded terrestrial gravity data over the Auvergne test area (France). Differently from the conventional way of using gridded gravity data, this study utilizes non-gridded data as the input to the geoid modeling and compare the differences between the computational approaches in terms of the geoid model accuracies. For this purpose, the calculated gravimetric geoid models are validated at high-accuracy GNSS/leveling benchmarks provided in the test dataset. The geoid models computed using the grid gravity data yielded 3.8 cm and 4.0 cm accuracies before fitting for Hotine's and Stokes' methods, whilst the evaluation of the geoid models with non-gridded data yielded 6.6 cm and 5.7 cm, respectively. The numerical comparisons of the different geoid models are presented and discussed in detail.