New views of the spherical Bouguer gravity anomaly
Open Access
- 1 November 2004
- journal article
- Published by Oxford University Press (OUP) in Geophysical Journal International
- Vol. 159 (2), 460-472
- https://doi.org/10.1111/j.1365-246x.2004.02435.x
Abstract
This paper presents a number of new concepts concerning the gravity anomaly. First, it identifies a distinct difference between a surface (2-D) gravity anomaly (the difference between actual gravity on one surface and normal gravity on another surface) and a solid (3-D) gravity anomaly defined in the fundamental gravimetric equation. Second, it introduces the ‘no topography’ gravity anomaly (which turns out to be the complete spherical Bouguer anomaly) as a means to generate a quantity that is smooth, thus suitable for gridding, and harmonic, thus suitable for downward continuation. It is understood that the possibility of downward continuing a smooth gravity anomaly would simplify the task of computing an accurate geoid. It is also shown that the planar Bouguer anomaly is not harmonic, and thus cannot be downward continued.Keywords
This publication has 15 references indexed in Scilit:
- Geodetic versus geophysical perspectives of the ‘gravity anomaly’Geophysical Journal International, 2003
- Effects of the spherical terrain on gravity and the geoidJournal of Geodesy, 2001
- Effect of topographical density on geoid in the Canadian Rocky MountainsJournal of Geodesy, 2001
- Topographic effects by the Stokes-Helmert method of geoid and quasi-geoid determinationsJournal of Geodesy, 2000
- On Talwani’s “Errors in the total Bouguer reduction”Geophysics, 1998
- The theory of the Bouguer gravity anomaly: A tutorialGeophysics, 1996
- Standardization in gravity reductionGeophysics, 1991
- THEORY OF THE BOUGUER ANOMALYGeophysics, 1977
- Two-dimensionality on spherical earth ? A problem in gravity reductionsPure and Applied Geophysics, 1976
- THE BOUGUER CORRECTION FOR THE SPHERICAL EARTHGeophysics, 1971