Should geophysicists use the gravity disturbance or the anomaly?

(2018) Vanderlei C. Oliveira Jr., Leonardo Uieda, Kristoffer A. Teixeira Hallam, Valéria C. F. Barbosa


This article is currently undergoing peer-review at Geophysics.

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Abstract

The gravity anomaly is defined as the difference between the Earth's gravity on the geoid and the normal gravity on the reference ellipsoid. Because these quantities are not at the same point, the anomaly contains centrifugal accelerations and cannot be considered a harmonic function. The gravity disturbance is the difference between gravity and normal gravity at the same point. Consequently, the centrifugal effects can be neglected and the disturbance can be considered a harmonic function. This is the premise behind most potential-field data processing techniques (e.g., upward/downward continuation). Unlike the anomaly, the disturbance is due solely to the gravitational effects of geologic sources, making it the most appropriate for geophysical purposes. Use of the gravity anomaly in geophysics carries with it the implicit assumption that it is a good approximation for the gravity disturbance. However, bear in mind that the difference between the gravity disturbance and the free-air anomaly can be larger than 10 mGal worldwide. In fact, we argue that the assumptions made during gravity forward and inverse modeling imply that the quantity being modelled is the disturbance, not the anomaly.

Difference between the gravity disturbance and the free-air anomaly. Map of the difference between the gravity disturbance and the free-air anomaly worldwide. This is the error committed when assuming that the free-anomaly is a good approximation for the disturbance.