Approximation of gravitational calculation based on analytical models

Abstract

Gravity meters can be used to measure all effects that make up the Earth’s gravity field. Many of these effects are caused by known sources such as the Earth’s rotation, distance from the Earth’s center, topographic relief, and tidal variation. Physical fields are the main component of many centuries of the paradigm of all of Earth Sciences. The changing gravitational field is very important subject of research in the scientific aspect and practical. This paper applies two analytical models to simplify the gravitation calculation, which are sphere and cone models. Examples and finite element applications for the two models are studied also and discussed. The results of this study reveal that the possibility of using the proposed method with using presented analytical, finite element and numerical models to estimate the better determination of the characteristics of the local gravity of natural and man-made objects of sizes up to several tens of kilometers.

Keywords

• gravitational field
• finite element
• abnormal masses
• direct and inverse problems
• gravity