New views of the spherical Bouguer gravity anomaly
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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.
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Geophysical Journal International following peer review. The definitive publisher-authenticated version, Vanicek, P. and Tenzer, R. and Sjoberg, L.E. and Martinec, Z. and Featherstone, W.E. 2004. New views of the spherical Bouguer gravity anomaly. Geophysical Journal International. 159 (2): 460-472. is available online at: http://gji.oxfordjournals.org/content/159/2/460
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