Digital Model of Natural Cores Using Geometric Design

The authors have constructed a digital model of reservoir rock cores based on the problem of packing spherical particles in a cylindrical container. They proposed a new approach to mathematical modeling of the reservoir rock structure and calculating its porosity. A mathematical model of the problem...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2023-11, Vol.59 (6), p.934-942
Main Authors: Stoyan, Yu, Romanova, T., Kravchenko, O., Yaskov, G., Chuhai, A., Veligotskyi, D.
Format: Article
Language:English
Subjects:
Algorithms
Artificial Intelligence
Containers
Control
Geometric nonlinearity
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Porosity
Processor Architectures
Reservoirs
Software Engineering/Programming and Operating Systems
Systems Theory
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Summary:The authors have constructed a digital model of reservoir rock cores based on the problem of packing spherical particles in a cylindrical container. They proposed a new approach to mathematical modeling of the reservoir rock structure and calculating its porosity. 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 the 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 natural prototype. Applying this approach will help improve hydrocarbon extraction technologies and increase their efficiency.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-023-00629-4