A Comparison of Different Integral-Equation-Based Approaches for Local Gravity Field Modelling: Case Study for the Canadian Rocky Mountains

Robert Tenzer, I. Prutkin, R. Klees

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

8 Citations (Scopus)


We compare the accuracy of local gravity field modelling in rugged mountains using three different discretised integral equations; namely (1) the single layer approach, (2) Poisson's integral approach, and (3) Green's integral approach. The study area comprises a rough part of the Canadian Rocky Mountains with adjacent plains. The numerical experiment is conducted for gravity disturbances and for topographically corrected gravity disturbances. The external gravity field is parameterized by gravity disturbances (Poisson's integral approach) and disturbing potential values (Green's integral approach), both discretised below the data points at the same depth beneath the Bjerhammar sphere. The point masses in the single layer approach are discretised below the data points on a parallel surface located at the same depth beneath the Earth's surface. The accuracy of the gravity field modelling is assessed in terms of the STD of the differences between predicted and observed gravity data. For the three chosen discretisation schemes, the most accurate gravity field approximation is attained using Green's integral approach. However, the solution contains a systematic bias in mountainous regions. This systematic bias is larger if topographically corrected gravity disturbances are used as input data.
Original languageEnglish
Title of host publicationGeodesy for Planet Earth - Proceedings of the 2009 IAG Symposium
Number of pages8
Publication statusPublished - 1 Dec 2012
Externally publishedYes
EventIAG Symposium on Geodesy for Planet Earth, IAG 2009 - Chania, Crete, Argentina
Duration: 31 Aug 20094 Sep 2009


ConferenceIAG Symposium on Geodesy for Planet Earth, IAG 2009
CityChania, Crete

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geophysics

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