Influence of Vertical Datum Inconsistencies on Gravity Field Modelling

Z. Fašková, R. Čunderlík, K. Mikula, Robert Tenzer

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

1 Citation (Scopus)


Precise gravity field modelling is essential for a unification of local vertical datums (LVDs) and realization of the World Height System. The quality of terrestrial gravimetric measurements has substantial impact on the accuracy of detailed geoid/quasigeoid models. The precision of their positions, especially their vertical components, is of the same importance as precision of gravity itself. Therefore inconsistencies due to shifts and tilts of LVDs can distort precise solutions. In this paper we present how inconsistencies of vertical positions of input terrestrial gravity data can influence numerical solutions obtained by the finite element method and finite volume method. Considering information from satellite missions, we solve the geodetic BVP with mixed boundary conditions (BCs) in the 3D domain above the Earth's surface. This space domain is bounded by the Earth's surface at the bottom, one spherical artificial boundary outside the Earth at altitude of a satellite mission and four side artificial boundaries. All numerical solutions are fixed to the satellite only geopotential model on all artificial boundaries, where the Dirichlet BCs are imposed. On the Earth surface the oblique derivative BC in the form of surface, gravity disturbances is prescribed. In our numerical experiments we compare numerical solutions with and without considering the corrections from the shifts and tilts of LVDs in the input surface gravity disturbances. We study how the corrected solutions backward-influence estimations of the shifts and tilts of LVDs. Our experiments are performed in areas of Australia, New Zealand and Great Britain.
Original languageEnglish
Title of host publicationReference Frames for Applications in Geosciences - Proccedings of the Symposium
Number of pages9
Publication statusPublished - 24 Sep 2013
Externally publishedYes
EventIAG Symposium on Reference Frames for Applications in Geosciences, REFAG 2010 - Chania, Crete, France
Duration: 4 Oct 20108 Oct 2010


ConferenceIAG Symposium on Reference Frames for Applications in Geosciences, REFAG 2010
CityChania, Crete


  • Boundary value problem with mixed boundary conditions
  • Finite element method
  • Finite volume method
  • Inconsistencies of local vertical datums

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geophysics


Dive into the research topics of 'Influence of Vertical Datum Inconsistencies on Gravity Field Modelling'. Together they form a unique fingerprint.

Cite this