P. I. Balk
Institute of Applied Geodesy, Berlin, Germany
Received August 8, 2012
Abstract—We study the problem of selecting an admissible complexity of the model of gravity sources, which
largely governs the quality of the inverse problem solution and has been poorly explored to date. The reasons
why the interpretation theory of anomalous gravity has not yet suggested clear guidelines on this subject are
analyzed. Among these reasons is the inadequacy of the prerequisites that are used in the theory of inverse prob-
lems to the real conditions of a geophysical experiment. The standard scheme of constructing the algorithms
for quantitative interpretation of gravity data is expanded by the missing elements that are necessary for the
solution of the problem. The most important role in the improved scheme is played by the algorithmic
approaches that allow the interpreter to assess the size of the set of admissible solutions of the inverse problem,
the corrections for the inadequacy of the used model of gravity sources to the actual physical distribution of the
anomalous masses, and the new forms of representation of the results, which provide monotonic dependence
of the solution’s quality on the amount of the a priori information.
DOI: 10.1134/S1069351313020018
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