دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,489
تعداد مقالات18,175
تعداد مشاهده مقاله58,778,745
تعداد دریافت فایل اصل مقاله20,251,980
Aliev, Fikret, Tagiyev, Reshad, Namazov, Orkhan, Turarov, Amankeldy. (1404). Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform. سامانه مدیریت نشریات علمی, 13(4), 1085-1094. doi: 10.22034/cmde.2025.62544.2766
Fikret A. Aliev; Reshad M. Tagiyev; Orkhan Z. Namazov; Amankeldy K. Turarov. "Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform". سامانه مدیریت نشریات علمی, 13, 4, 1404, 1085-1094. doi: 10.22034/cmde.2025.62544.2766
Aliev, Fikret, Tagiyev, Reshad, Namazov, Orkhan, Turarov, Amankeldy. (1404). 'Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform', سامانه مدیریت نشریات علمی, 13(4), pp. 1085-1094. doi: 10.22034/cmde.2025.62544.2766
Aliev, Fikret, Tagiyev, Reshad, Namazov, Orkhan, Turarov, Amankeldy. Transformation of motion equations in the oil extraction process into Roesser-type equations and their solution using the Laplace transform. سامانه مدیریت نشریات علمی, 1404; 13(4): 1085-1094. 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

Computational Methods for Differential Equations
مقاله 1، دوره 13، شماره 4، دی 2025، صفحه 1085-1094    اصل مقاله (447.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.62544.2766
نویسندگان
Fikret A. Aliev* 1؛ Reshad M. Tagiyev2؛ Orkhan Z. Namazov3؛ Amankeldy K. Turarov4
1Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan.
2Azerbaijan State Oil and Industry University, Baku, Azerbaijan.
3Sumgayit State University, Sumgayit, Azerbaijan.
4East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan.
چکیده
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.
کلیدواژه‌ها
Gas-lift؛ Cauchy problem؛ Boundary problem؛ Differential equations of hyperbolic type؛ Roesser model؛ Laplace transform
مراجع
  • [1] O. M. Aamo, G. O. Eikrem, H. B. Siahaan, and B. A. Foss, Observer design for multiphase flow in vertical pipes with gas-lift–theory and experiments, Journal of Process Control, 15(3) (2005), 247–257.
  • [2] N. A. Aliev, F. A. Aliev, M. M. Mutallimov, and R. M. Tagiev, An Algorithm for Constructing the Rosser Model for the Gas Lift Process in Oil Production, Proceedings of the Institute of Applied Mathematics, 3(2) (2014), 173–184.
  • [3] N. A. Aliyev, G. S. Aliyeva, R. M. Tagiev, A. S. Faradjev, and M. Khanbabaeva, Determination of the Hydraulic Resistance Coefficient in the Gas Lift Process Described by a Hyperbolic Partial Differential Equation, Proceedings of the Institute of Applied Mathematics, 6(2) (2017), 186–201.
  • [4] N. A. Aliev, R. M. Tagiev, and O. Z. Namazov, Algorithm for determining sweep coefficients for solving one system of hyperbolic equations of the second order, Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, 42(1) (2022), 42–46.
  • [5] F. A. Aliev, M. A. Jamalbayov, I. Hasanov, N. A. Valiyev, and N. S. Hajiyeva, Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects, Computational Methods for Differential Equations, 11(4) (2023), 664–675.
  • [6] F. A. Aliev, M. A. Jamalbayov, N. A. Valiyev, and N. S. Hajiyeva, Computer model of pump-well-reservoir system based on the new concept of imitational modeling of dynamic systems, International Applied Mechanics, 59(3) (2023), 352–362.
  • [7] F. A. Aliev, N. A. Aliev, N. A. Safarova, R. M. Tagiev, and M. F. Rajabov, Sweep method for solving the Roesser type equation describing the motion in the pipeline, Applied Mathematics and Computation, 295 (2017), 16–23.
  • [8] B. Billy, Linear quadratic problem for Roesser model of 2-D systems, Fond. Conrtrol Eng., 13(3) (1988), 103–110
  • [9] E. Brown Kermit, The Technology of Artificial lift Methods, Tulsa-USA, 1980.
  • [10] I. A. Charny, Unsteady Flow of Real Fluids in Pipes, Moscow: Gostekhizdat, 1951.
  • [11] R. Courant and T. D. Wentzell, Partial Differential Equations, Mir, 1964.
  • [12] F. C. Diehl, C. S. Almeida, T. K. Anzai, G. Gerevini, S. S. Neto, O. F. Von Meien, and J. O.Trierweiler, Oil production increase in unstable gas lift systems through nonlinear model predictive control, Journal of Process Control, 69 (2018), 58–69.
  • [13] A. N. Gurbanov and I. Z. Sardarova, Optimization problem of measurements in experimental research of gas-lift wells, Appl. Comput. Math., 21(2) (2022), 223–228.
  • [14] R. Roesser, A discrete state-space model for linear image processing, IEEE Transactions on Automatic Control, 20(1) (1975), 1–10.
  • [15] R. Fleshman and O. Lekic Harryson, Artificial Lift for High-Volume production, Oilfield Review, 1999.
  • [16] J. L. Schiff, The Laplace transform: Theory and Applications, Springer Science and Business Media, 2013. [17] V. I. Shurov, Technology and Techniques of Oil Production, Moscow: Nedra, 1983.
آمار
تعداد مشاهده مقاله: 343
تعداد دریافت فایل اصل مقاله: 500


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب