Vibration Characteristics Analysis of Gas-Liquid Multiphase Internal Flow Composite Tubing String

Xueping Chang; Renqiang Xu; Congjia Qu; Yinghui Li

doi:10.54691/m3zrkn40

Authors

Xueping Chang
Renqiang Xu
Congjia Qu
Yinghui Li

DOI:

https://doi.org/10.54691/m3zrkn40

Keywords:

Flow-induced Vibration; Hamilton Principle; Composite Material Tubing; Gas-Liquid Multiphase Flow.

Abstract

This study explores the flow-induced vibration characteristics of composite tubing under the action of gas-liquid multiphase flow. Based on the Hamilton variational principle, the longitudinal-transverse coupling vibration control equation of the pipe string is established, which is solved by the Galerkin method and verified by the benchmark case. The parameter analysis shows that the stability of the system is affected by the internal flow velocity, gas content, fiber ply angle, bottom hole pressure and packer position. It is found that the critical velocity of multiphase flow is significantly higher than that of single-phase flow, and there is a linear relationship between the critical velocity and the gas fraction in a specific void fraction range. The critical velocity curve and natural frequency curve with the change of fiber ply angle show symmetrical distribution. Optimizing the position of the packer can generate extreme points in the critical flow rate and natural frequency, and achieve a synergistic peak of a specific configuration. The comparative analysis shows that the bottom hole pressure is the dominant stability factor, which significantly affects the vibration energy distribution. The numerical analysis data in this paper provide a theoretical basis for offshore oil exploitation and geothermal well application.

Downloads

Download data is not yet available.

References

[1] A, M. G. , B, K. B. K. , A, P. P. , C, V. J. , C, J. L. , & C, N. D. . (2017). Hybrid composite tensile armour wires in flexible risers: a multi-scale model. Composite Structures, 162, 13-27.

[2] Hastie, J. C. , Guz, I. A. , & Kashtalyan, M. . (2019). Effects of thermal gradient on failure of a thermoplastic composite pipe (tcp) riser leg. International Journal of Pressure Vessels & Piping, 172, 90-99.

[3] Yang, M ;Ma, Y; Li, SG. (2012).Vibration Characteristics Analysis of Tubing String in Three-High Gas Well[J].Advanced Materials Research, Vol.455-456: 395-399.

[4] Aitken, J. (1878). XIV. An account of some experiments on rigidity produced by centrifugal force. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 5(29), 81–105.

[5] Shilling, R., III, and Lou, Y. K. (1980).An Experimental Study on the Dynamic Response of a Vertical Cantilever Pipe Conveying Fluid. ASME. J. Energy Resour. Technol. September 1980; 102(3): 129–135.

[6] Guo, Xiao qiang;Li, Xiao;Liu, Jun;Dai, Liming;Huang, Liang;Wei, Anchao;Zhang, Xiaohong. (2021).Fatigue failure mechanism of 3D tubing strings used in high-pressure, high-temperature and high-yield curved gas wells.[J].Engineering Failure Analysis, Vol.128: 105536.

[7] Wang, Y. , Fan, H. , Zhang, L. P. , & Yang, H. . (2011). An analysis of axial tubing vibration in a high-pressure gas well. Liquid Fuels Technology, 29(7), 708-714.

[8] Wickert, J. A. . (1992). Non-linear vibration of a traveling tensioned beam. J. of Non-Linear Mechanics, 27(3), 503-517.

[9] Yu, K. Q. (2017). Fluid solid coupling vibration analysis and safety evaluation of completion string of high production gas well. **'an University of petroleum.

[10] Guo, X., Liu, J., Wang, G., Dai, L., Fang, D., Huang, L., & He, Y. (2021). Nonlinear flow-induced vibration response characteristics of a tubing string in HPHT oil&gas well. Applied Ocean Research, 106, 102468.

[11] Zhang, Q., Liao, T., Ding, L., Wang, K., Yang, H., & Lian, Z. (2023). Study on water hammer effect and tubing string vibration in high-pressure high-production gas wells. Geoenergy Science and Engineering, 229, 212147.

[12] Guo, X., Liu, J., Dai, L., He, Y., Huang, L., Wang, G., & Yu, L. (2021). Fatigue investigation of tubing string in high-yield curved wells. Journal of Natural Gas Science and Engineering, 85, 103688.

[13] Wang, X. Y., Zhou, Z., Liu, X. P. (2013). Numerical analysis of the vibration of pipes conveying fluid under the influence of vertical branch. Advanced Materials Research, 655, 620-624.

[14] Balkaya, M., Kaya, M. O. (2021).Analysis of the instability of pipes conveying fluid resting on two-parameter elastic soil under different boundary conditions. Ocean Engineering.241, 110003.

[15] Tang, M., Ni, Q., Wang, L., Luo, Y., Wang, Y. (2014).Nonlinear modeling and sizedependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory. International Journal of Engineering Science. 84,1–10.

[16] ElNajjar, J., Daneshmand, F. (2020). Stability of horizontal and vertical pipes conveying fluid under the effects of additional point masses and springs. Ocean Engineering. 206,106943.

[17] Eftekhari, M., Hosseini, M. (2016).On the stability of spinning functionally graded cantilevered pipes subjected to fluid-thermomechanical loading.International Journal of Structural Stability and Dynamics. 16,1550062.

[18] Mao, X. Y., Gao, S. Y., Ding, H., Chen, L. Q. (2023). Static bifurcation and nonlinear vibration of pipes conveying fluid in thermal environment.Ocean Engineering. 278,114418.

[19] Ghayesh, M. H., Farokhi, H., Farajpour, A. (2019).Pulsatile vibrations of viscoelastic microtubes conveying fluid. Microsystem Technologies,.25, 3609-3623.

[20] Maziar Mohammadzadeh;Mohammadreza Arbabtafti;Majid Shahgholi & Jianming Yang.(2022). Nonlinear vibrations of composite drill strings considering drill string–wellbore contact and bit–rock interaction[J].Archive of Applied Mechanics. Vol.92(9): 2569-2592.

[21] Tan, L. B., Chen, Y., Jaiman, R. K., Sun, X., Tan, V. B. C., & Tay, T. E. (2015). Coupled fluid–structure simulations for evaluating a performance of full-scale deepwater composite riser. Ocean Engineering, 94, 19-35.

[22] Pettigrew, M. J., and Taylor, C. E. (1994). "Two-Phase Flow-Induced Vibration: An Overview (Survey Paper)." ASME. J. Pressure Vessel Technol. August 1994; 116(3): 233–253.

[23] Wang B, Wang L, Meng X, Ren F. 2023. Effect of Annular Gas–Liquid Two-Phase Flow on Lateral Vibration of Drill String in Horizontal Drilling for Natural Gas Hydrate. Processes. 11(1):54.

[24] Xu, Zhengming; Song, Xianzhi; Li, Gensheng; Wu, Kan; Pang, Zhaoyu; Zhu, Zhao peng. 2018.Development of a transient non-isothermal two-phase flow modelfor gas kick simulation in HTHP deep well drilling[J].Applied Thermal Engineering. Vol.141(1): 1055-1069.

[25] Ma, T., Gu, J. & Duan, M. (2017). Dynamic response of pipes conveying two-phase flow based on Timoshenko beam model. Mar Syst Ocean Technol 12, 196–209.

[26] Kang, J., Zhang, X., Zhang, D., & Liu, Y. (2021). Pressure drops and mixture friction factor for gas–liquid two-phase transitional flows in a horizontal pipe at low gas flow rates. Chemical Engineering Science, 246, 117011.

[27] Gao, Y., Liu, L., Fu, S., Chai, S., & Shi, C. (2023). Nonlinear dynamics of a vertical pipe subjected to a two-phase, solid-liquid internal flow. Applied Mathematical Modelling, 120, 651-666.

[28] Xueping Chang;Jinming Fan;Wenwu Yang and Yinghui Li. (2021).In-Line and Cross-Flow Coupling Vibration Response Characteristics of a Marine Viscoelastic Riser Subjected to Two-Phase Internal Flow[J].Shock and Vibration. Vol.2021(1): 1-27.

[29] Bahaadini, Reza;Dashtbayazi, Mohammad Reza;Hosseini, Mohammad;Khalili-Parizi, Zahra. 2018.Stability analysis of composite thin_walled pipes conveying fluid.[J].Ocean Engineering. Vol.160: 311-323.

[30] F. Shadmehri;B. Derisi;S.V. Hoa;(2011).On bending stiffness of composite tubes[J].Composite Structures. Vol.93(9): 2173-2179.

[31] Ni, Q., Zhang, Z. L., & Wang, L. (2011). Application of the differential transformation method to vibration analysis of pipes conveying fluid. Applied Mathematics and Computation, 217(16), 7028-7038.

[32] Chang, X. P., Qu, C. J., Song, Q., Li, Y. H., & Liu, J. (2022). Coupled cross-flow and in-line vibration characteristics of frequency-locking of marine composite riser subjected to gas-liquid multiphase internal flow. Ocean Engineering, 266, 113019.