A method for solving a boundary value problem for a system of hyperbolic equations describing motion in a gas-lift process

Publication type Article
Status Published
Institute of Applied Mathematics, Baku, Azerbaijan
Institute of Information Technology, ANAS, Baku, Azerbaijan
Address: Azerbaijanm, Baku
Affiliation: NIPI Neftegaz of SOCAR, Baku, Azerbaijan
Address: Azerbaijanm, Baku
Affiliation: Institute of Mathematics and Mechanics, Baku, Azerbaijan
Address: Azerbaijanm, Baku
Affiliation: Institute of Applied Mathematics, Baku, Azerbaijan
Address: Azerbaijanm, Baku
Affiliation: Baku State University City Hall, Baku, Azerbaijan
Address: Azerbaijanm, Baku
Journal namePrikladnaia matematika i mekhanika


Keywordshyperbolic system, mathematical model, gaslift, eigenvalue problem.
Publication date15.10.2018
Number of characters521
Cite   Download pdf To download PDF you should sign in
Размещенный ниже текст является ознакомительной версией и может не соответствовать печатной

views: 1036

Readers community rating: votes 0

1. Shurov V.I. Tekhnologiya i mekhanika dobychi nefti. M.: Nedra, 1983.

2. Mirzadzhanzade A.Kh., Ametov I.M., Khasaev A.M., Gusev V.I. Tekhnologiya i tekhnika dobychi nefti. M.: Nedra, 1986.

3. Nuriev N.B. Bor'ba s oslozhneniyami v neftedobyche metodom gazlifta. Baku: Araz, 2006. 192c.

4. Aliev F.A., Ismailov N.A., Namazov A.A., Rajabov M.F. Algorithm for calculating the parameters of formation of gas-liquid mixture in the shoe of gas lift well //Appl. Comput. Math. 2016. V. 15. No. 3. P. 370–376.

5. Aliev F.A., Ismailov N.A., Haciyev H., Guliev M.F. Method of determine the coefficient of hydraulic resistance in different areas of pump-compressor pipes // TWMS J. Pure Appl. Math. 2016. V.7. No. 2. P. 211–217.

6. Naz R., Alsaedi A., Hayat T. Flow of fourth grade fluid in a porous medium // Appl. Comput. Math. 2015. V. 14. No. 2. P. 125–140.

7. Samponogara E., Rlucenio A., Teixeira A.F., Campos S.R.V. An automation system for gas-lifted oil wells: Model identification control and optimization // J. Petrol. Sci. Engng. 2010. V. 70. P. 157–167.

8. Aamo O.M., Eikrem G.O., Siahaan H.B., Foss B.A. Observer design for multiphase flow in vertical pipes with gas-lift – theory and experiments // J. Process Control. 2004. V. 15. No. 3. P. 247–257.

9. Aliev F.A., Il'yasov M.Kh., Nuriev N.B. Zadachi modelirovaniya i optimal'noj sta- bilizatsii gazliftnogo protsessa // Prikladnaya mekhanika. 2010. № 6. C. 115–122.

10. Aliev F.A., Mutallimov M.M., Askerov I.M., Raguimov I.S. Asymptotic method of solution for a problem of construction of optimal gas-lift process modes // Math. Probl. Engng. 2010. ArticleID 191053. 10 p.

11. Aliev N.A., Aliev F.A., Guliev A.P., Il'yasov M.Kh.. Metod ryadov v reshenii odnoj kraevoj zadachi dlya sistemy uravnenij giperbolicheskogo tipa, voznikayuschej pri dobyche nefti // Proc. Inst. Appl. Math. 2013. V. 2. No. 2. P. 113–136.

12. Bekir Ahmet, Guner Ozkan, Aksoy Esin. Periodic and hyperbolic solutions of nonlinear fractional differential equations // Appl. Comput. Math. 2016. V. 15. No. 1. P. 88–95.

13. Akbarov S.D., Ismailov M.I. Frequency response of a pre-stressed metal elastic plate under compressible viscous fluid loading // Appl. Comput. Math. 2016. V. 15. No. 2. P. 172–188.

14. Hasanov K.K., Tanriverdiyev T.S. Optimal control problem describing by the Cauchy problem for the first order linear hyperbolic system with two independent variables // TWMS J. Pure Appl. Math. 2015. V. 6. No. 1. P. 100–110.

15. Aliev F.A., Aliev N.A., Hasanov K. G., Guliev A.P., Turarov A.K., Isaeva G.V. Numerical- analytical method for solving of the first order partial quasi-linear equations // TWMS J. Pure Appl. Math. 2015. V. 6. No. 2. P. 158–164.

16. Charnyj I.A. Neustanovivsheesya dvizhenie real'noj zhidkosti v trubakh. M.: Gos- tekhizdat, 1951.

17. Birhkoff G.D. On the asymptotic character of the solutions of certain linear differential equations containing a parameter // Trans. Am. Math Soc. 1908. No. 9. P. 219–231. b) Boundary Value and expansion problems of ordinary linear differential equation // Amer. Math. Soc. 1908. V. 9. No.4.

18. Ehrdeji A. Asimptoticheskie razlozheniya. M.: GIFML, 1962, 127 s.

19. El-Ganaini S.I.A., Mirzazadeh M., Biswas A. Solitons and other solutions to long-short wave resonance equation // Appl. Comput. Math. 2016. V.14. N.3. P. 248–259.

20. Wang G.W., Xu T.Z., Zedan H.A., Abazari R., Triki H., Biswas A. Solitary waves, shock waves and other solutions to Nizhniki–Novikov–Veselov equation // Appl. Comput. Math. 2016. V. 14. No. 3. P. 260–283.

21. Gel'fond A.O. Ischislenie konechnykh raznostej. M.: Nauka, 1967. 375 s.

22. Aliev F.A., Mutallimov M.M., Ismailov N.A., Racabov M.F. An algorithm for constructingoptimal controllers for gas-lift operation // Autom. Telemech. 2012. No. 8. P. 3–15.

Система Orphus