Ocean Systems Engineering

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Burial and scour of truncated cones due to long-crested and short-crested nonlinear random waves

  • Myrhaug, Dag (Department of Marine Technology, Norwegian University of Science and Technology) ;
  • Ong, Muk Chen (Norwegian Marine Technology Research Institute (MARINTEK))
  • Received : 2013.10.18
  • Accepted : 2014.01.04
  • Published : 2014.03.25
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Abstract

This paper provides a practical stochastic method by which the burial and scour depths of truncated cones exposed to long-crested (2D) and short-crested (3D) nonlinear random waves can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Forristall (2000) wave crest height distribution representing both 2D and 3D nonlinear random waves. Moreover, the formulas for the burial and the scour depths for regular waves presented by Catano-Lopera et al. (2011) for truncated cones are used. An example of calculation is also presented.

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References

  1. Abramowitz, M. and Stegun, I.A. (1972), Handbook of mathematical functions, Dover, New York.
  2. Catano-Lopera, Y.A. and Garcia, M.H. (2007), "Geometry of scour hole around, and the influence of the angle of attack on the burial of finite length cylinders under combined flows", Ocean Eng., 34(5-6), 856-869. https://doi.org/10.1016/j.oceaneng.2006.05.001
  3. Catano-Lopera, Y.A., Landry, B.J. and Garcia, M.H. (2011), "Scour and burial mechanics of conical frustums on a sandy bed under combined flow conditions", Ocean Eng., 38, 1256-1268. https://doi.org/10.1016/j.oceaneng.2011.05.007
  4. Dean, R.G. and Dalrymple, R.A. (1984), Water wave mechanics for engineers and scientists, Prentice-Hall, Inc., New Jersey, USA.
  5. Forristall, G.Z. (2000), "Wave crest distributions: Observations and second-order theory", J. Phys. Oceanogr., 30, 1931-1943. https://doi.org/10.1175/1520-0485(2000)030<1931:WCDOAS>2.0.CO;2
  6. Guyonic, S., Mory, M., Wever, T.F., Ardhuin, F. and Garland, T. (2007), "Full-scale mine burial experiments in wave and current environments and comparison with models", IEEE J. Oceanic Eng., 32(1), 119-132. https://doi.org/10.1109/JOE.2007.890951
  7. Jenkins, S.A., Inman, D.L., Richardson, M.D., Wever, T.F. and Wasyl, J. (2007), "Scour and burial mechanics of objects in the nearshore", IEEE J. Oceanic Eng., 32(1), 78-90. https://doi.org/10.1109/JOE.2007.890946
  8. Mayer, L.A., Raymond, R., Clang, G., Richardson, M.D., Traykovski, P. and Trembanis, A.C. (2007), "High-resolution mapping of mines and ripples at the Martha's Vineyard coastal observatory", IEEE J. Oceanic Eng., 32(1), 133-149. https://doi.org/10.1109/JOE.2007.890953
  9. Myrhaug, D. and Holmedal, L.E. (2011), "Bottom friction and erosion beneath long-crested and short-crested nonlinear random waves", Ocean Eng., 38(17-18), 2015-2022. https://doi.org/10.1016/j.oceaneng.2011.09.016
  10. Myrhaug, D., Holmedal, L.E., Simons, R.R. and MacIver, R.D. (2001), "Bottom friction in random waves plus current flow", Coast. Eng., 43(2), 75-92. https://doi.org/10.1016/S0378-3839(01)00007-2
  11. Myrhaug, D. and Ong M.C. (2011a), Random wave-induced scour around marine structures using a stochastic method. in: marine technology and engineering, (Eds., C. Guedes Soares et al.), CRC Press/Balkema,Taylor & Francis Group, London, UK.
  12. Myrhaug, D. and Ong, M.C. (2011b), "Long- and short-crested random wave-induced scour below pipelines", P. I. Civil Eng. - Mar. En., 164(4), 173-184.
  13. Myrhaug, D. and Ong, M.C. (2012), "Scour around spherical bodies due to long-crested and short-crested nonlinear random waves", Ocean Syst. Eng., 2(4), 257-269. https://doi.org/10.12989/ose.2012.2.4.257
  14. Myrhaug, D. and Ong M.C. (2013a), "Scour around vertical pile foundations for offshore wind turbines due to long-crested and short-crested nonlinear random waves", J. Offshore Mech. Arct., 135(1), 011103. https://doi.org/10.1115/1.4007048
  15. Myrhaug, D. and Ong, M.C. (2013b), "Effects of sand-clay mixtures on scour around vertical piles due to long-crested and short-crested nonlinear random waves", J. Offshore Mech. Arct, 135(3), 034502. https://doi.org/10.1115/1.4023801
  16. Myrhaug, D., Ong, M.C., Foien, H., Gjengedal, C. and Leira, B.J. (2009), "Scour below pipelines and around vertical piles due to second-order random waves plus a current", Ocean Eng., 36(8), 605-616. https://doi.org/10.1016/j.oceaneng.2009.02.007
  17. Myrhaug, D., Ong, M.C. and Hesten, P. (2012), "Burial and scour of short cylinders due to long-crested and short-crested nonlinear random waves", Proceedings of the 6th Int. Conf. on Scour and Erosion, Paris, France, August 27-31.
  18. Ong, M.C., Myrhaug, D. and Hesten, P. (2013), "Scour around vertical piles due to long-crested and short-crested nonlinear random waves plus a current", Coast. Eng., 73, 106-114. https://doi.org/10.1016/j.coastaleng.2012.10.005
  19. Sharma, J.N. and Dean, R.G. (1981), "Second-order directional seas and associated wave forces", Soc. Petrol. Eng. J., 21, 129-140. https://doi.org/10.2118/8584-PA
  20. Soulsby, R.L. (1997), Dynamics of marine sands. a manual for practical applications, Thomas Telford, London, UK.
  21. Sumer, B.M. and Fredsoe, J. (1996), "Scour below pipelines in combined waves and current", Proceedings of the15th OMAE Conf., Florence, Italy.
  22. Sumer, B.M. and Fredsoe, J. (2001), "Scour around pile in combined waves and current", J. Hydraul. Eng. - ASCE, 127(5), 403-411. https://doi.org/10.1061/(ASCE)0733-9429(2001)127:5(403)
  23. Sumer, B.M. and Fredsoe, J. (2002), The mechanics of scour in the marine environment, World Scientific, Singapore.
  24. Whitehouse, R.J.S. (1998), Scour at marine structures, A Manual for Practical Applications, Thomas Telford, London, UK.