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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 59 >>> № 6 NOVEMBER — DECEMBER 2023
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UDC 519.85
Yu. Stoyan1, T. Romanova2, O. Kravchenko3, G. Yaskov4,
A. Chuhai5, D. Veligotskyi6


1 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

 yustoyan19@gmail.com

2 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine and Kharkiv National University of Radio Electronics, Kharkiv, Ukraine

 tarom27@yahoo.com

3 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

 krav@ipmach.kharkov.ua

4 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

 yaskov@ukr.net

5 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine and Simon Kuznets Kharkiv National University of Economics, Kharkiv, Ukraine

 chugay.andrey80@gmail.com

6 A. Pidgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine

 krav@ipmach.kharkov.ua

DIGITAL MODEL OF NATURAL CORES USING GEOMETRIC DESIGN

Abstract. The article aims to create a digital model of rock-collector cores using the problem of packing spherical particles in a cylindrical container. A new approach to the mathematical modeling of the rock-collector structure is proposed. The computation of its porosity is provided. A mathematical model of the problem of placing the maximum number of spheres with different diameters in a cylindrical container is presented. A solution algorithm is developed based on the optimization by groups of variables and a lattice decomposition strategy. The results of experimental petrophysical studies of real well cores are used as input data. The modeling results provide a good approximation of the absolute porosity of the natural prototype. The application of this approach will help improve hydrocarbon extraction technologies and increase their efficiency.

Keywords: geometric design, digital model, kern, packing, spheres, nonlinear optimization.


full text

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