On recovering the potential and its derivatives on the boundary of the area containing sources

2013;
: pp. 133 - 135
https://doi.org/10.23939/jgd2013.02.133
Received: July 31, 2013
Authors:
1
Technical Center of the National Academy of Sciences of Ukraine

In the work, the dual nature of the gravitational potential is investigated. It is proved, that the integral representation of the gravitational potential is a mirror reflection of the same images for the class of harmonic functions. The integrated equations, enabling to restore potential and it’s derivations on the boundary of sources-including areas was obtained. This approach enables to localize vertical and subvertical density heterogeneities, quantitatively characterize the horizontally layered medium, updating the geological model of the primary environment for solving the inverse problem of gravity and magnetic survey, thereby.

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