Generalized Bouguer gravity anomaly (1): formulation of spherical Bouguer anomaly reduced onto an arbitrary equi-potential surface

Abstract

I have formulated a generalized Bouguer gravity anomaly, taking account of the regional VGG anomaly (Db: the constant term of the VGG anomaly), the degree of freedom of the datum level of gravity corrections (hd), and the scheme of truncated spherical shell system of gravity correction. Also, I have presented the basic ideas of the formulation and have pointed out the differences between the new formula and the conventional one. The new formula thus obtained can be considered to have some advantages over the conventional one. Firstly, one can treat wide ranges of gravity anomalies from a microgravity survey to a regional gravity survey in a unified manner, whose distance ranges of terrain and Bouguer corrections are from the order of 10 meters to several hundred km from each gravity station. Secondly, particularly in the microgravity survey, one is to obtain a receptacle that enables us to evaluate Db. Thirdly, explicit formulae for the two special datum levels to eliminate the topographic gravitational effects regardless of the Bouguer densities have been shown.