On Solving the Forward Problem of Gravimetry in Curvilinear and Cartesian Coordinates: Krasovskii’s Ellipsoid and Plane Modeling

Correcting the effects of the sphericity of the Earth in the results of the interpretation of gravimetric data is a topical issue in modern gravimetry. Estimating the error of the gravity field calculations due to the replacement of the spherical Earth model by the plane model is an important part of this problem. In this paper, a method is proposed for transforming the plane density models into spherical ones and vice versa. Algorithms for calculating the vertical component of gravity field for both model types are presented. For two extensive plane models of the Earth’s density, their transformation into spherical models is carried out and the resulting gravity fields are compared. The relative root mean square residuals between the fields calculated with this replacement are at most 5%.     

Interpretation of Gravity Data Measured by Topography

Doklady Earth Sciences - Measured gravity anomaly values serve as initial data for density models reconstructing the Earth’s crust and upper mantle. As a preliminary step, the data is...     

Accounting for the influence of the Earth’s sphericity in three-dimensional density modelling

A method for transformation of the three-dimensional regional “flat” density models of the Earth’s crust and upper mantle to the “spherical” models and vice versa is proposed. A computation algorithm and a method of meaningful comparison of the vertical component of the gravity field of both models are presented.