TRANSFORMATION OF MOTION EQUATIONS IN THE OIL EXTRACTION PROCESS INTO ROESSER-TYPE EQUATIONS AND THEIR SOLUTION USING LAPLACE TRANSFORM

Articles in Press

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.

Abstract

In the article, the method of solving Roesser-type equations with 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

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 03 August 2025

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History

  • Receive Date: 18 July 2024
  • Revise Date: 24 December 2024
  • Accept Date: 02 August 2025

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