Рақамли технологияларнинг назарий ва амалий масалалари Volume 8 Issue 2 (2025) · pp. 47-57
An Improved Mathematical Model of the Filtration Process in Interconnected Oil Reservoirs and a Method for its Numerical Modeling
Неъматов, А., Исмаилов, Ш.Р., Бахриддинов, А.К.
Abstract
This paper presents an improved mathematical model for describing filtration processes in two-layer dynamically interconnected oil reservoirs, incorporating the dependence of hydrodynamic parameters on changes in formation pressure. The model allows for a more accurate analysis of the physical behavior in reservoir systems. A numerical solution algorithm based on the differential sweep method is proposed, offering both stability and efficiency. Computational experiments demonstrate the reduction in permeability and porosity coefficients near wells as pressure decreases. The use of parallel computing significantly enhances modeling performance. The presented 3D plots clearly illustrate the spatial and temporal dynamics of filtration parameters.
математическое моделированиепроцесс фильтрациигидродинамические параметрыпористые средынефтяные месторождениявычислительные экспериментыкоэффициент проницаемостикоэффициент пористостиmathematical modelfiltration process
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