A Singular Perturbation Method for Parametric Investigation on J-lay Installation of Deepwater Pipelines

• Published in: China ocean engineering Vol. 27; no. 6; pp. 751 - 766
• Main Author: 王琴 段梦兰 李海明 张庆元
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
• Subjects: Airport towers; Angles (geometry); Asymptotic properties; Bending moments; Coastal Sciences; Curvature; Differential equations; Engineering; Fluid- and Aerodynamics; Marine; Marine & Freshwater Sciences; Mathematical analysis; Numerical and Computational Physics; Oceanography; Offshore Engineering; Pipelines; Simulation; 奇异摄动方法; 奇异摄动法; 安装过程; 弯曲力矩; 控制微分方程; 最大张力; 深海; 管道铺设; non-linear governing differential equation; J-lay of pipeline; geometric nonlinearity; deepwater; singular perturbation technique; stiffened catenary; touch down point
• ISSN: 0890-5487; 2191-8945
• DOI: 10.1007/s13344-013-0062-4

The maximum bending moment or curvature in the neighborhood of the touch down point （TDP） and the maximum tension at the top are two key parameters to be controlled during deepwater J-lay installation in order to ensure the safety of the pipe-laying operation and the normal operation of the pipelines. In this paper, the non-linear governing differential equation for getting the two parameters during J-lay installation is proposed and solved by use of singular perturbation technique, from which the asymptotic expression of stiffened catenary is obtained and the theoretical expression of its static geometric configuration as well as axial tension and bending moment is derived. Finite element results are applied to verify this method. Parametric investigation is conducted to analyze the influences of the seabed slope, unit weight, flexural stiffness, water depth, and the pipe-laying tower angle on the maximum tension and moment of pipeline by this method, and the results show how to control the installation process by changing individual parameters.