FRACTAL ANALYSIS AS A KEY ELEMENT OF MINERAL DEPOSIT GEOMETRIZATION

The Purpose of the paper is to prove the need for accounting the environment fractality under countouring of ore zones, bodies and geometrization of mineral deposits as well as to find the conditions of compatibility of the deterministic theory of the stratified geochemical field of the professor P. K. Sobolevsky in the conditions of fractal environment. Methods. The study uses the review of literature and researches in the field of synergetics and fractal geometry as well as mathematical processing and analysis of fractal geological systems. Results. The self-organizing dynamic system features the domination of nonlinear relationships, while the location of each fractal in the conditions of "the determined chaos" is random and unpredictable. The existing deterministic idea of a deposit as a geochemical field (P. K. Sobolevsky) meeting the condition of finitude, unambiguity, continuity, smoothness and having a stratified structure is in a conflict with the distribution discreteness of useful components, ambiguity of data (for a specific point of space). The contradiction can be eliminated if a geochemical field is considered in some volume rather than in a point and the content of a useful component or other indicators are referred to the center of this volume. The method of isolines is introduced in practically all areas of scientific knowledge. It is evident, informative enough and it is impossible to refuse it. Conclusions. The fractal analysis should be added to the methodical basis of geometrization with a system approach in scientific researches as its element since it is an integral part of synergetrics today. It will allow a more rational justification and selection of technological decisions for geological object development. When the theory of geochemical field is adapted to a certain volume of subsoil rather than to a point we obtain a random component. Therefore, it is necessary to operate random spatial fields where probabilistic methods, the theory of stochastic functions and geostatistics predominate.

geometrization, fractal, attractor, fractal dimension, placer, placer bedding, exploration network parameters

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