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The inverse problems of gravity prospecting for media models adequate to modern urgent tasks of oil<br>and gas prospecting works are reviewed. The compensation of equivalence effects is carried out by their<br>inclusion into a more common scheme of integrated interpretation. It is achieved by attraction of the<br>additional information about the structure of a model in the form of an optimality criterion having additive,<br>multiplicative and dynamic components. Three basic forms of stating the problem of complex media objects<br>density model restoration are distinguished accordingly: passive, active and geodynamic. The integral and<br>differential presentations of optimal decisions are deduced and the iterative processes of their solution are<br>designed. The developed methods are technologically realized as a software-methodical complex. The<br>questions of its further development for the solution of the problem of integrated interpretation in discrete<br>simulation models are discussed.