Skip to main content
Log in

Dynamic response of a riser under excitation of internal waves

  • Published:
Journal of Ocean University of China Aims and scope Submit manuscript

Abstract

In this paper, the dynamic response of a marine riser under excitation of internal waves is studied. With the linear approximation, the governing equation of internal waves is given. Based on the rigid-lid boundary condition assumption, the equation is solved by Thompson-Haskell method. Thus the velocity field of internal waves is obtained by the continuity equation. Combined with the modified Morison formula, using finite element method, the motion equation of riser is solved in time domain with Newmark-β method. The computation programs are compiled to solve the differential equations in time domain. Then we get the numerical results, including riser displacement and transfiguration. It is observed that the internal wave will result in circular shear flow, and the first two modes have a dominant effect on dynamic response of the marine riser. In the high mode, the response diminishes rapidly. In different modes of internal waves, the deformation of riser has different shapes, and the location of maximum displacement shifts. Studies on wave parameters indicate that the wave amplitude plays a considerable role in response displacement of riser, while the wave frequency contributes little. Nevertheless, the internal waves of high wave frequency will lead to a high-frequency oscillation of riser; it possibly gives rise to fatigue crack extension and partial fatigue failure.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bole, J. B., Ebbesmeyer, J. J., and Romea, R. D., 1994. Soliton currents in South China Sea: Measurements and theoretical modeling. Offshore Technology Conference. Houston, Texas, 367–375.

    Google Scholar 

  • Cai, S. Q., and Gan, Z. J., 1995. A numerical method of internal waves dispersion relation. Tropic Oceanology, 14 (1): 22–29 (in Chinese with English abstract).

    Google Scholar 

  • Cai, S. Q., Long, X. M., and Gan, Z. J., 2003. A method to estimate the forces exerted by internal solitons on cylindrical piles. Ocean Engineering, 30 (5): 673–689.

    Article  Google Scholar 

  • Chakrabarti, S., 2005. Handbook of Offshore Engineering. Elsevier Ltd., Vol. 1, 105–106.

    Google Scholar 

  • Chen, W. M., Zheng, Z. Q., and Zhang, L. W., 2011. Vortexinduced vibration of deepwater flexible riser experiencing internal-wave-induced shear flow. Engineering Mechanics, 28 (12): 250–256.

    Google Scholar 

  • Chucheepsakul, S., Monprapussorn, T., and Huang, T., 2003. Large strain formulations of extensible flexible marine pipes transporting fluid. Journal of Fluids and Structures, 17 (2): 185–224.

    Article  Google Scholar 

  • Du, T., Sun, L., and Zhang, Y. J., 2007. An estimation of internal soliton forces on a pile in the ocean. Journal of Ocean University of China, 6 (2): 101–106.

    Article  Google Scholar 

  • Ebbesmeyer, C. C., Coomes, C. A., and Hamilton, R. C., 1991. New observation on internal wave (solutions) in the South China Sea using an acoustic Doppler current profiler. Marine Technology Society 91 Proceedings. New Orleans, 165–175.

    Google Scholar 

  • Fang, X. H., Jiang, M. S., and Du, T., 2000. Dispersion relation of internal waves in the western equatorial Pacific Ocean. Acta Oceanologica Sinica, 19 (4): 37–45.

    Google Scholar 

  • Guo, H. Y., Zhang, L., and Li, X. M., 2013. Dynamic responses of top tensioned riser under combined excitation of internal solitary wave, surface wave and vessel motion. Journal of Ocean University of China, 12 (1): 6–12.

    Article  Google Scholar 

  • Jiang, W. J., Lin, Z. Y., and You, Y. X., 2012. Dynamic characteristic of a top tension riser under combined excitation of internal solitary wave and non-uniform current. Chinese Journal of Hydrodynamics, 27 (4): 424–435 (in Chinese with English abstract).

    Google Scholar 

  • Li, P. L., Zuo, J. C., and Li, L., 2003. Characteristics of the transition layer in the South China Sea. Chinese Journal of Oceanology and Limnology, 21 (1): 27–33 (in Chinese with English abstract).

    Article  Google Scholar 

  • Li, X. D., Zhao, Z., and Wen, Z. X., 2010. Development trends of world upstream oil and gas industries. Petroleum Exploration and Development, 37 (5): 623–627.

    Google Scholar 

  • Liu, B.T., Li, W., and You, Y. X., 2011. Numerical simulation of interaction of internal solitary waves with deep-sea risers. The Ocean Engineering, 29 (4): 1–7.

    Google Scholar 

  • Moore, S. E., and Lien, R. C., 2007. Pilot whales follow internal solitary waves in the South China Sea. Marine Mammal Science, 23 (1): 193–196.

    Article  Google Scholar 

  • Osborne, A. R., and Burch, T. L., 1980. Internal solitons in the Andaman Sea. Science, 208 (4443): 451–60.

    Article  Google Scholar 

  • Qiu, Z., Xu, X. Z., and Long, X. M., 1996. A preliminary analysis on internal tide characteristics at an observation point in Northern South China Sea. Tropic Oceanology, 15 (4): 63–67 (in Chinese with English abstract).

    Google Scholar 

  • Song, Z. J., Teng, B., and Gou, Y., 2011. Comparisons of internal solitary wave and surface wave actions on marine structures and their responses. Applied Ocean Research, 33 (2): 120–129.

    Article  Google Scholar 

  • Walker, S. A., Martin, A. J., and Easson, W. J., 1998. Velocity fields in solitary internal waves. The Eighth International Offshore and Polar Engineering Conference. Montreal, Canada, 11–17.

    Google Scholar 

  • Ye, C. S., and Shen, G. G., 2005. Numerical calculation and analysis about internal wave’s force on small-scale cylinder. Journal of Tianjin University, 38 (2): 102–108 (in Chinese with English abstract).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Min Lou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lou, M., Yu, C. & Chen, P. Dynamic response of a riser under excitation of internal waves. J. Ocean Univ. China 14, 982–988 (2015). https://doi.org/10.1007/s11802-015-2701-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11802-015-2701-2

Key words

Navigation