zbMATH — the first resource for mathematics

Simple analytical models for the J-lay problem. (English) Zbl 1078.74008
Summary: This work deals with deep and ultra-deep water 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.

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
Full Text: DOI
[1] 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.
[2] 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.
[3] 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.
[4] 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). · Zbl 0911.73042
[5] Villaggio, P.: Mathematical models for elastic structures. Pise: Cambridge University Press 1997. · Zbl 0978.74002
[6] 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.
[7] Plunkett, R.: Static bending stresses in catenaries and drill strings. ASME J. Engng for Industry 89, 31–36 (1967).
[8] Powers, J. T., Finn, L. D.: Stress analysis of offshore pipelines during installation. Proc. Offshore Technology Conf., paper OTC 1071 (1969).
[9] Palmer, A. C., Hutchinson, G., Ells, J. W.: Configuration of submarine pipelines during laying operations. ASME J. Engng. Industry 96, 1112–1118 (1974).
[10] Croll, J. G. A.: Bending boundary layers in tensioned cables and rods. Appl. Ocean Engng. 22, 241–253 (2000).
[11] 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.
[12] Dixon, D. A., Rutledge, D. R.: Stiffened catenary calculations in pipeline laying problem. ASME J. Engng. Indust. 90, 153–160 (1968).
[13] Simmonds, J. G, Mann, J. E.: A first look at perturbation theory. Dover Publications 1998. · Zbl 0667.34001
[14] Kevorkian, J., Cole, J. D.: Multiple scale and singular perturbations methods. New York: Springer 1996. · Zbl 0846.34001
[15] 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).
[16] Callegari, M., Lenci, S., Torselletti, E., Vitali, L.: in preparation (2005).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.