AUTHORS: Ekaterina Rouvinskaya, Oxana Kurkina, Andrey Kurkin, Andrey Zaytsev
Download as PDF
ABSTRACT: The velocity field induced by nonlinear internal waves generated by multicomponent barotropic tidal flow over topography for the conditions of the Sea of Okhotsk (South-East shelf of Sakhalin Island) is used to estimate dynamical loads on underwater vertical cylindrical parts of marine engineering structures. The intensity of lateral surface pressure and the rate inertia moment are expressed according to Morison’s formula for a cylidrical pile of 2.5 m diameter and 100 m height and computed as functions of time. They can reach values of 1.9·105 N and 10 MN∙m, respectively, during the flood phase of the tide.
KEYWORDS: Internal waves, drag force, inertial force, shear force, torque, load, Morison equation, near-bottom velocity, barotropic tide
REFERENCES:
[1] Chakrabarti S. (Ed.) Handbook of offshore engineering. London: Elsevier, 2005.
[2] Osborne A.R. Nonlinear ocean waves and the Inverse Scattering Transform, San Diego: Elsevier, 2010.
[3] Cai S., Long X., Gan Z. A method to estimate the forces exerted by internal solitons on cylindrical piles, Ocean Engineering, 2003, Vol. 30, No. 5, pp. 673–689.
[4] Cai S., Long X., Wang S. Forces and torques exerted by internal solitons in shear flows on cylindrical piles, Applied Ocean Research, 2008, Vol. 30, No. 1, pp. 72–77.
[5] Song Z.J., Teng B., Gou Y., Lu L., Shi Z.M., Xiao Y., Qu Y. Comparisons of internal solitary wave and surface wave actions on marine structures and their responses, Applied Ocean Research, 2011, Vol. 33, No. 2, pp. 120- 129.
[6] Si Z., Zhang Y., Fan Z. A numerical simulation of shear forces and torques exerted by largeamplitude internal solitary waves on a rigid pile in South China Sea, Applied Ocean Research, 2012, Vol. 37, pp. 127–132.
[7] Xie J., Jian Y., Yang L. Strongly nonlinear internal soliton load on a small vertical circular cylinder in two-layer fluids, Applied Mathematical Modelling, 2010, Vol. 34, No. 8, pp. 2089–2101.
[8] Xie J., Xu J., Cai S. A numerical study of the load on cylindrical piles exerted by internal solitary waves, Journal of Fluids and Structures, 2011, Vol. 27, No. 8, pp. 1252– 1261.
[9] Du T., Sun L., Zhang Y., Bao X., Fang X. An estimation of internal soliton forces on a pile in the ocean, J. Ocean Univ. China, 2007, Vol. 6/2, pp. 101–116.
[10] Newman J.N. Marine Hydrodynamics. Cambridge: MIT Press, 1977.
[11] Aleshkov Yu.Z. The theory of the interaction of waves and obstacles. Leningrad: LST Publ., 1990, 371 p. (in Russian)
[12] Khalfin I.Sh. The impact of waves on the offshore oil and gas facilities. Мoscow: Nedra, 1990. 313 p. (in Russian)
[13] Morison J.R., O'Brien M.P., Johnson J.W., Schaaf S.A. The forces exerted by surface waves on piles, Petroleum transactions, 1950, AIME 189, pp. 149-157.
[14] Tovstik P.E., Tovstik T.M., Shekhovtsov A.S. Shekhovtsov V.A. Motion of a flowing cylinder under waves, Vestnik St.Petersburg Univ., 2012, Series 1, No 3, pp. 137–143. (in Russian)
[15] Lighhill M.J. Fundamentals concerning wave loading on offshore structures, Journal of Fluid Mechanics, 1986, Vol. 173, pp. 667-681.
[16] Tyugin D.Yu., Kurkin A.A., Pelinovsky E.N., Kurkina O.E. Increase of productivity of software package for modeling of internal gravity waves IGW Research with the help of Intel® Parallel Studio XE 2013, Fundamental and Applied hydrophysics, 2012, Vol. 5, No. 3, pp. 89-95.
[17] Rouvinskaya E.A., Kurkina O.E., Kurkin A.A. Modeling of internal weather in the ecosystem of the stratified sea shelf, Ecological Systems and Devices, 2011, No. 6, pp. 8-16. (in Russian)
[18] Romanov A.A., Sedaeva O.S., Shevchenko G.V. Seasonal and tidal variations of the sea level between Hokkaido and Sakhalin Islands based on satellite altimetry and coastal tide gauge data, J. Pacific Oceanography, 2004, No. 2, pp. 117-125.
