On the removal of the effect of topography on gravity disturbance in gravity data inversion or interpretation

Author(s)
Peter Vajda, Petr Vanicek, Bruno Meurers
Abstract

Four types of topographical corrections to gravity disturbance (to actual gravity) are investigated, distinguished by the density (real or constant-model) and by the lower boundary (geoid or reference ellipsoid) of the topographical masses. Each type produces a specific "topo-corrected gravity disturbance", referred to as "NT", "NTC", "NET", and "NETC". Our objective is to compare the four types and to study the physical meaning, in the light of gravity data interpretation/inversion, of these four gravity disturbances. Our method of investigation is the decomposition of the actual potential and actual gravity. It is shown, that the "NETC gravity disturbance" - i.e. the gravity disturbance corrected for the gravitational effect of topographical masses of constant density with the topo-surface as the upper boundary and the reference ellipsoid as the lower boundary - is rigorously and exactly equal to the gravitational effect of anomalous density inside the entire earth, i.e., below the topo-surface. The regions, where the four types of the topo-corrected gravity disturbance are harmonic, are studied also. Finally some attention is paid to areas over the globe, where geodetic (ellipsoidal) heights of the topo-surface are negative, with regard to the evaluation of the topo-correction and in the context of the gravimetric inverse problem. The strategy for the global evaluation of the "NETC topo-correction", or its evaluation in areas with negative ellipsoidal topography, is presented.

Organisation(s)
Department of Meteorology and Geophysics
External organisation(s)
Slovenian Academy of Sciences and Arts, University of New Brunswick (UNB)
Journal
Contributions to geophysics & geodesy: a journal of geophysics, geodesy, meteorology and climatology
Volume
34
Pages
339-369
No. of pages
31
ISSN
1335-2806
Publication date
2004
Peer reviewed
Yes
Austrian Fields of Science 2012
105102 General geophysics
Portal url
https://ucrisportal.univie.ac.at/en/publications/4cf09f68-5b12-4102-b4a3-40e4a88e01a5