Abstract
As an important part of lifeline engineering in the development and utilization of marine resources, the submarine fluid-filled pipeline is a complex coupling system which is subjected to both internal and external flow fields. By utilizing Kennard’s shell equations and combining with Helmholtz equations of flow field, the coupling equations of submarine fluid-filled pipeline for n=0 axisymmetrical wave motion are set up. Analytical expressions of wave speed are obtained for both s=1 and s=2 waves, which correspond to a fluid-dominated wave and an axial shell wave, respectively. The numerical results for wave speed and wave attenuation are obtained and discussed subsequently. It shows that the frequency depends on phase velocity, and the attenuation of this mode depends strongly on material parameters of the pipe and the internal and the external fluid fields. The characteristics of PVC pipe are studied for a comparison. The effects of shell thickness/radius ratio and density of the contained fluid on the model are also discussed. The study provides a theoretical basis and helps to accurately predict the situation of submarine pipelines, which also has practical application prospect in the field of pipeline leakage detection.
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References
Fuller, C. R. and Fahy, F. J., 1982. Characteristics of wave propagation and energy distributions in cylindrical elastic shells filled with fluid, J. Sound Vib., 81(4): 501–518.
Gao, F. P. and Luo, C. C., 2010. Flow-pipe-seepage coupling analysis of spanning initiation of a partially-embedded pipeline, J. Hydrodyn., 22(4): 478–487.
Gao, Y., Brennan, M. J. and Joseph, P. F., 2009. On the effects of reflections on time delay estimation for leak detection in buried plastic water pipes, J. Sound Vib., 325(3): 649–663.
Hunaidi, O. and Chu, W. T., 1999. Acoustical characteristics of leak signals in water distribution pipes, Appl. Acoust., 58(3): 235–254.
Hunaidi, O., Chu, W. T. and Wang, A., 2000. Detecting leaks in plastic water distribution pipes, Journal of the American Water Works Association, 92, 82–94.
Junger, M. C. and Feit, D., 1986. Sound, Structures, and Their Interaction, Cambridge, MA, MIT Press.
Leissa, A. W., 1973. Vibrations of Shells, Washington, D.C., Scientific and Technical Information Office, NASA.
Li, J. H. and Cui, L., 2004. Leak detection in offshore pipelines of conveying fluid, China Ocean Eng, 18(2): 327–333.
Long, R., Lowe, M. J. S. and Cawley, P., 2003. Acoustic wave propagation in buried iron water pipes, Proc. R. Soc. Lond.. A, 459, 2749–2770.
Muggleton, J. M., Brennan, M. J. and Pinnington, R. J., 2002. Wavenumber prediction of waves in buried pipes for water leak detection, J. Sound Vib., 249(5): 939–954
Muggleton, J. M., Brennan, M. J. and WLinford, P., 2004. Axisymmetric wave propagation in fluid-filled pipes: Wavenumber measurements in vacuo and buried pipes, J. Sound Vib., 270(1–2): 171–190.
Muggleton, J. M. and Brennan, M. J., 2004. Leak noise propagation and attenuation in submerged plastic water pipes, J. Sound Vib., 278(3): 527–537.
Muggleton, J. M. and Yan, J., 2013. Wave-number prediction and measurement of axisymmetric waves in buried fluid-filled pipes: Inclusion of shear coupling at a lubricated pipe/soil interface, J. Sound Vib., 332(5): 1216–1230.
Pinnington, R. J. and Briscoe, A. R., 1994. Externally applied sensor for axisymmetric waves in a fluid-filled pipe, J. Sound Vib., 173(4): 503–516.
Shehadeh, M. F., Abdou, W. and Steel, J. A., 2008. Aspects of acoustic emission attenuation in steel pipes subject to different internal and external environments, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 222(1): 41–54.
Wang, S. Q. and Guo, H. Y., 2002. Study on dynamic characteristics of a subsea pipe conveying flowing fluid, Journal of Ocean University of Qingdao, 32(1): 127–132. (in Chinese)
Yan, J., Zhang, S. L. and Zhang, J., 2011. Propagation and attenuation of axisymmetrical wave in fluid-filled pipes, Journal of Ship Mechanics, 15(6): 688–697.
Yan, J., Liu, J. X. and Zhang, J., 2012. Characteristics of sound propagation in a buried pipe for leak detection, Journal of Vibration and Shock, 31(3): 127–131. (in Chinese)
Yang, B., Gao, F. P., Wu, Y. X. and Jeng, D. S., 2006. Experimental study on vortex-Induced vibrations of submarine pipeline near seabed boundary in ocean currents, China Ocean Eng., 20(1): 113–121.
Ye, Q. X. and Shen, Y. H., 2006. Handbook of Mathematical, 2nd edition, Scientific Publishing Company, Beijing. (in Chinese)
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This work was financially supported by the National Natural Science Foundation of China (Grant No. 50905036).
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Yan, J., Zhang, J. Characteristics of vibrational wave propagation and attenuation in submarine fluid-filled pipelines. China Ocean Eng 29, 253–263 (2015). https://doi.org/10.1007/s13344-015-0018-y
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DOI: https://doi.org/10.1007/s13344-015-0018-y