Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform

Aliev, Fikret A.; Tagiyev, Reshad M.; Namazov, Orkhan Z.; Turarov, Amankeldy K.

doi:10.22034/cmde.2025.62544.2766

Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform

Document Type : Research Paper

Authors

¹ Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan.

² Azerbaijan State Oil and Industry University, Baku, Azerbaijan.

³ Sumgayit State University, Sumgayit, Azerbaijan.

⁴ East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan.

10.22034/cmde.2025.62544.2766

Abstract

In the article, the method of solving Roesser-type equations with the Laplace transformation for modeling and analysis of oil extraction processes is analyzed. Roesser-type equations are widely used to describe the dynamics of multidimensional systems, and their solution is important in improving the efficiency of oil extraction processes. First, the structure and properties of Roesser-type equations are presented. Later, the process of solving these equations is presented step by step by applying the Laplace transform method. By converting the special differential equations given by this method to simpler algebraic equations, both analytical and computer calculations can be significantly simplified. Based on the calculations and examples, it is shown that the proposed method provides high accuracy and efficiency. The research results enable the application of new approaches in the optimization and management of oil extraction processes.

Keywords

Main Subjects

Fluid mechanics

References

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