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Simple analytical models for the J-lay problem

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Summary

This work deals with deep and ultra-deep waters installation by the so-called “J-Lay” method, which consists in laying submarine pipelines with a straight stinger at near-vertical angles. A hierarchy of simple analytical models is proposed starting from the classical catenary and enriching it to overcome its drawbacks. A novel approach for detecting the boundary layer phenomenon is proposed, and constitutes the base of two of the developed models. All models are compared with each other and with the results of refined numerical simulations in a case of practical interest. In the considered examples the stiffness of the soil has scarce influence, while the boundary layer phenomenon is very important and detected correctly, both from a qualitative and quantitative point of view, by the second class of proposed models.

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References

  • Palmer, A. C.: Deepwater pipelines: improving state of the art. Proc. Offshore Technology Conf., Houston, Texas, May 2–5, 1994, vol. 4, pp. 291–300.

  • Torselletti, E., Bruschi, R., Vitali, L., Marchesani, F.: Lay challenges in deep waters: technologies and criteria. Proc. 2nd Int. Deepwater Pipeline Technology Conf., New Orleans, Louisiana, March 20–25, 1999.

  • Callegari, M., Carini, C. B., Lenci, S., Torselletti, E., Vitali, L.: Dynamic models of marine pipelines for installation in deep and ultra-deep waters: analytical and numerical approaches. Proc. 5th National Congress of the Italian Association of Mechanics (AIMETA 2003), Ferrara, Italy, September 9–12, 2003.

  • Vaz, M. A., Witz, J. A., Patel, M. H.: Three-dimensional transient analysis of the installation of marine cables. Acta Mech. 124, 1–26 (1997).

    Google Scholar 

  • Villaggio, P.: Mathematical models for elastic structures. Pise: Cambridge University Press 1997.

  • Langner, C. G.: Relationships for deepwater suspended pipe spans. Proc. Offshore Mechanics and Artic Engineering Symposium (OMAE 84), New Orleans, Luisiana, February 12–17, 1984, pp. 552–558.

  • Plunkett, R.: Static bending stresses in catenaries and drill strings. ASME J. Engng for Industry 89, 31–36 (1967).

    Google Scholar 

  • Powers, J. T., Finn, L. D.: Stress analysis of offshore pipelines during installation. Proc. Offshore Technology Conf., paper OTC 1071 (1969).

  • Palmer, A. C., Hutchinson, G., Ells, J. W.: Configuration of submarine pipelines during laying operations. ASME J. Engng. Industry 96, 1112–1118 (1974).

    Google Scholar 

  • Croll, J. G. A.: Bending boundary layers in tensioned cables and rods. Appl. Ocean Engng. 22, 241–253 (2000).

    Google Scholar 

  • Pesce, C. P., Aranha, J. A. P., Martins, C. A.: The soil rigidity effect in the touchdown boundary-layer of a catenary riser: Static problem. Proc. 8th Int. Offshore and Polar Engineering Conf., Montreal, Canada, May 24–29, 1998, pp. 207–213.

  • Dixon, D. A., Rutledge, D. R.: Stiffened catenary calculations in pipeline laying problem. ASME J. Engng. Indust. 90, 153–160 (1968).

    Google Scholar 

  • Simmonds, J. G, Mann, J. E.: A first look at perturbation theory. Dover Publications 1998.

  • Kevorkian, J., Cole, J. D.: Multiple scale and singular perturbations methods. New York: Springer 1996.

  • Aranha, J. A. P., Martins, C. A., Pesce, C. P.: Analytical approximation for the dynamic bending moment at the touchdown point of a catenary riser. Int. J. Offshore Polar Engng. 7, 293–300 (1997).

    Google Scholar 

  • Callegari, M., Lenci, S., Torselletti, E., Vitali, L.: in preparation (2005).

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Lenci, S., Callegari, M. Simple analytical models for the J-lay problem. Acta Mechanica 178, 23–39 (2005). https://doi.org/10.1007/s00707-005-0239-x

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