Polynomial parameterization in inverse gravimetric problem
Abstract
An algorithm for solution of the inverse gravimetric problem was formulated. A polynomial parameterization makes it easy to formulize and consider a priori data on the configuration and position of an anomaly forming object. The plane inverse gravimetric problem is formulated. The form and position of its upper and lower surface are determined. In such a formulation the problem has a unique solution and can be used in ore geophysics. The algorithm was tested in test models and an interpretation of the gravity field along one of the profiles indicated that the algorithm rather rapidly converges to a precise solution. The algorithm has a high noise immunity. In an interpretation in three dimensional space the polynomials P sub m(x), O sub n(x) must be replaced by their spatial analogues.
 Publication:

USSR Report Earth Sciences JPRS UES
 Pub Date:
 February 1985
 Bibcode:
 1985RpESc......107R
 Keywords:

 Algorithms;
 Gravimetry;
 Gravitational Fields;
 Gravity Anomalies;
 Parameterization;
 Polynomials;
 Geomagnetic Hollow;
 Gravitational Fields;
 Mathematical Models