Abstract
AbstractThis paper states on the new concept of the generalized Bouguer anomaly (GBA) that is defined upon the datum level of an arbitrary elevation. Discussions are particularly focused on how to realize the Bouguer anomaly that is free from the assumption of the Bouguer reduction densityρB, namely, theρB-free Bouguer anomaly, and on what is meant by theρB-free Bouguer anomalyin relation to the fundamental equation of physical geodesy. By introducing a new concept of the specific datum level so that GBA is not affected by the topographic masses, we show the equations of GBA upon the specific datum levels become free fromρBand/or the terrain correction. Subsequently utilizing these equations, we derive an approximate equation for estimatingρB. Finally, we show how to compute a Bouguer anomaly on the geoid by transforming the datum level of GBA from the specific datum level to the level of the geoid. These procedures yield a new method for obtaining the Bouguer anomaly in the classical sense (say, the Bouguer disturbance), which is free from the assumption ofρB. We remark that GBA upon theρB-free datum levelis the gravity disturbance and that the equation of it has a tie to the fundamental equation of physical geodesy.
Highlights
In this paper, we present a new concept of the generalizedBouguer anomaly, which is defined upon the datum level of gravity reduction of an arbitrary elevation
In the theory of modern physical geodesy, the normal gravity upon the reference ellipsoid was introduced as the reference gravity (Heiskanen and Moritz, 1967, p. 44)
5.2.1 Evaluation of the gradients d free-air anomaly (F A)/d Hd0 and d F A/d Hd1 Based on the characteristics (1) in the above section, Eq (51-1) shows that one can estimate the Bouguer reduction density ρB from the gradients d F A/d Hd0 of the Hd0-line and d F A/d Hd1 of the Hd1-line
Summary
Bouguer anomaly, which is defined upon the datum level of gravity reduction of an arbitrary elevation. We show that it is nothing but the Bouguer anomaly in the classical sense (say, the Bouguer disturbance) which has been used to study the subsurface structures. If gravity anomalies are mapped by using only such B Ainvariant points, it could be the most useful one for studying subsurface structures, because the gravity anomalies are independent of the Bouguer reduction density ρB From this point of view, the elevation of the datum level of the gravity reduction could have freedom to be selected
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