Ocean Systems Engineering

  • 제2권4호
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  • Pages.257-269
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  • 2012
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  • 2093-6702(pISSN)
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  • 2093-677X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Scour around spherical bodies 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 (Department of Marine Technology, Norwegian University of Science and Technology)
  • 투고 : 2012.01.13
  • 심사 : 2012.12.08
  • 발행 : 2012.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper provides a practical stochastic method by which the maximum equilibrium scour depth around spherical bodies 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, and using the regular wave formulas for scour and self-burial depths by Truelsen et al. (2005). An example calculation is provided.

키워드

참고문헌

  1. Abramowitz, M. and Stegun, I.A. (1972), Handbook of mathematical functions, Dover, New York.
  2. Catano-Lopera, Y.A., 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. Dean, R.G. and Dalrymple, R.A. (1984), Water wave mechanics for engineers and scientists, Prentice-Hall, Inc., New Jersey, USA.
  4. 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
  5. Myrhaug, D., Foien, H. and Rue, H. (2007), "Tentative engineering approach to scour around spherical bodies in random waves", Appl. Ocean Res., 29(1-2), 80-85. https://doi.org/10.1016/j.apor.2007.04.001
  6. 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
  7. Myrhaug, D., Holmedal, L.E., Simons, R.R. and MacIver, R.D. (2001), "Bottom friction in random waves plus current flow", Coastal Eng., 43(2), 75-92. https://doi.org/10.1016/S0378-3839(01)00007-2
  8. Myrhaug, D. and Ong M.C. (2011a), Random wave-induced scour around marine structures using a stochastic method. In: marine technology and engineering, (Eds., Guedes Soares, C. et al.), 1, 537-562. CRC Press/Balkema, Taylor & Francis Group, London, UK.
  9. Myrhaug, D. and Ong M.C. (2012), "Scour around vertical pile foundations for offshore wind turbines due to long-crested and short-crested nonlinear random waves", J. Offshore Mech. Arct. Eng., DOI:10.1115/1.4007048, in press.
  10. Myrhaug, D. and Ong, M.C. (2011b), "Long- and short-crested random wave-induced scour below pipelines", Proceedings of the ICE - Maritime Eng., 164(4), 173-184. https://doi.org/10.1680/maen.2011.164.4.173
  11. 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
  12. Myrhaug, D. and Rue, H. (2003), "Scour below pipelines and around vertical piles in random waves", Coastal Eng., 48(4), 227-242. https://doi.org/10.1016/S0378-3839(03)00029-2
  13. 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, 783-790.
  14. Ong, M.C., Myrhaug, D. and Hesten, P. (2012), "Scour around vertical piles due to long-crested and short-crested nonlinear random waves plus a current", Coastal Eng., http://dx.doi.org/10.1016/j.coastaleng.2012.10.005, in press.
  15. Sharma, J.N. and Dean, R.G. (1981), "Second-order directional seas and associated wave forces", J. Soc. Petrol. Eng., 21(1), 129-140. https://doi.org/10.2118/8584-PA
  16. Soulsby, R.L. (1997), Dynamics of marine sands. A manual for practical applications, Thomas Telford, London, UK.
  17. Sumer, B.M. and Fredsoe, J. (1996), "Scour below pipelines in combined waves and current", Proceedings of the15th OMAE Conf., Florence, Italy, 5, 595-602.
  18. 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)
  19. Sumer, B.M. and Fredsoe, J. (2002), The mechanics of scour in the marine environment, World Scientific, Singapore.
  20. Truelsen, C., Sumer, B.M. and Fredsoe, J. (2005), "Scour around spherical bodies and self-burial", J. Waterw, Port Coastal and Ocean Eng.- ASCE. 131(1), 1-13 https://doi.org/10.1061/(ASCE)0733-950X(2005)131:1(1)
  21. Whitehouse, R.J.S. (1998), Scour at mar, ine structures. A manual for practical applications. Thomas Telford, London, UK.

피인용 문헌

  1. Boussinesq equations for internal waves in a two-fluid system with a rigid lid vol.6, pp.1, 2016, https://doi.org/10.12989/ose.2016.6.1.117
  2. Burial and scour of truncated cones due to long-crested and short-crested nonlinear random waves vol.4, pp.1, 2014, https://doi.org/10.12989/ose.2014.4.1.021
  3. Effect of Interfacial Tension on Internal Waves Based on Boussinesq Equations in Two-Layer Fluids vol.35, pp.2, 2012, https://doi.org/10.2112/jcoastres-d-17-00186.1