New views of the spherical Bouguer gravity anomaly
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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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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.
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