Inverse Gravimetry Problem Research Articles

Solution of the Inverse Problem of Gravimetry for a Spherical Planetary Body Using the Decomposition of the Interior Potential into a Series of Polyharmonic Functions

The interior potential of a spherical planetary body (and the corresponding density distribution) is expressed as the sum of two parts, the first given uniquely by the external gravity field and the surface density and the second depending on an arbitrary function. The first part of the potential (density distribution) is shown to be a 3-harmonic (biharmonic) function, while the second part can be expressed as a series whose i-th term (for i ≥ 0) is an (i + 4)-harmonic ((i + 3)-harmonic) function. From this general solution a single solution is then chosen: this is done by imposing certain natural conditions on it, among others that this particular solution is an n-harmonic function for n as small as possible.

The inverse gravimetry problem: An application to the northern San Francisco craton granite

From the knowledge of the anomalies of the gravitational field, we reconstruct the mass density distribution in a large region of the state of Bahia (Brazil). This inverse gravimetry problem has been translated into a linear programming problem and solved using the simplex method. Both two-dimensional and three-dimensional models have been considered.

The simultaneous solution of the inverse problem of gravimetry and magnetics by means of non-linear programming

This paper deals with the inverse gravity and magnetic problem solution in the course of a search for the form of the disturbing body. The problem is reduced to the plane through the presumption that the contours of bodies do not change in one direction. The gravity and magnetic data are being formulated as limiting conditions of the non-linear programming problem. A set of hypotheses is chosen concerning the form of the body on the basis of which the preferential function is selected. The review of the computer program in the fortran language together with its description forms part of the paper.

Geophysical and geomechanical aspects of the study of meteorite structures

Two mechanical models of the evolution of meteorite craters are considered: the model of evolution in the lithosphere-asthenosphere, and the model of the origin of the central rise. The solution of the inverse problem of gravimetry is given within the framework of the second model. The results of the numerical simulations are consistent with the experimental data.