Determining the qualitative composition of the equivalent material for simulation of Kryvyi Rih iron ore basin rocks

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Authors:

M. I. Stupnik, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-9861-2798, State Institution of Higher Education “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

V. O. Kalinichenko, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-1938-2286, State Institution of Higher Education “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S. V. Pysmennyi, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0001-5384-6972, State Institution of Higher Education “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. V. Kalinichenko, Cand. Sc. (Econ.), Assoc. Prof., orcid.org/0000-0002-9138-9271, State Institution of Higher Education “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. To develop a model of composition of Kryvyi Rih iron ore basin through laboratory investigation of equivalent material.

Methodology. Methods of mathematic simulation and experimental research are used.

Findings. Conditions of model and prototype similarity are determined; dependencies of physical and mechanical properties of equivalent material rocks on percentage ratio of its components are developed. As a result of the research, it is established that while simulating rocks of Kryvyi Rih iron ore basin in laboratory conditions it is reasonable to use the equivalent material based on a sand-paraffin mixture containing granite chips, fine cast iron, quartz sand, mica and paraffin. The quantitative composition of the mixture is found to be similar to rocks of Kryvyi Rih iron ore basin in the following proportions: cast iron and granite chips ‒ 34 %, quartz sand, mica and paraffin – 66 %. Approximation of the dependencies results in empirical equations of Poisson’s ratio and the horizontal stress of the equivalent material which depend directly on the percentage of cast iron, granite chips and paraffin. Poisson’s ratio and the horizontal stress of the equivalent material are proved to grow with the increasing percentage of paraffin in the equivalent material.

Originality. For the first time, there have been determined empirical dependencies of Poisson’s ratio and ultimate strength of the material on the percentage of paraffin and cast iron. Poisson’s ratio and the coefficient of the horizontal stress of the sand-paraffin based equivalent material depend on proportions of paraffin and cast iron and are described by the power function.

Practical value. The results of the laboratory investigations enable creation of a sufficiently precise rock mass model to investigate processes in rocks at underground development of iron ore deposits over time.

References.

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