On Evaluation of the Mean Gravity Gradient Within the Topography

Abstract

To reduce the absolute gravity measurements onto the geoid, the vertical gravity gradient is usually applied. Alternatively, the reduction can be realized by applying the mean vertical gravity gradient. In this study, the mean gravity gradient along the plumbline within the topography is investigated. We demonstrate how the mean gravity gradient is related with the mass density distribution within the topography, the shape of the Earth and the vertical change of gravity gradient with the depth, whereas the effect of atmosphere is negligible. We also show how the errors due to uncertainties in topographical mass density distribution propagate to the errors in a prediction of the mean gravity gradient. The numerical analysis is conducted at the area of study in the Canadian Rocky Mountains. © Springer-Verlag Berlin Heidelberg 2009.