STOCHASTIC MODEL OF HYDROTRANSPORTATION OF DISPERSED ORE MATERIALS IN VERTICAL PIPELINES
Mitrofanov A.V. Abdullina G.G. Ahmedyanova G.K. Aigozhina D.G. Kabylkaiyr D.N.
2024National Academy of Sciences of the Republic of Kazakhstan
News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences
2024#2024Issue 4107 - 118 pp.
A hydraulic borehole mining is widely used for the extraction of mineral resources and the organization of underground workings. Hydro transportation of the bulk medium in the vertical direction is one of the key stages of this process. Therefore the development of predictive analytics methods for this process seems to be an urgent task. The paper proposes a fundamentally new computational model for the processes of hydraulic extraction of minerals to describe the vertical transport of a liquid-solid mixture, based on the mathematical apparatus of the theory of Markov chains. The used approach makes it possible to describe the pipeline as an object with distributed and non-stationary characteristics, while avoiding the decomposition of the working volume of the pipeline into conditionally infinitesimal volumes. The latter makes it possible to remove formal contradictions between the presence of macro particles in the pipeline and its decomposition into infinitesimal representative volumes, which inevitably arise when using methods of differential integral calculus. The results of numerical experiments with the developed mathematical model made it possible to describe at a qualitative level the transient process in a vertical pipeline during the periodic extraction of bulk medium grains from the well. The obtained results allow us to consider the proposed mathematical model as a reliable scientific basis for further improvement of methods for calculating the functioning of vertical pipelines for hydraulic transportation of granular media.
Markov chains , matrix of transition probabilities , state vector
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Department of «Mechanics and Oil and Gas Business», Toraighyrov University, Pavlodar, Kazakhstan
Department of «Mechanics and Oil and Gas Business»
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026