Analysis of the vibration of risers considering coupled longitudinal and transversal displacements and a new numerical approach

Author(s)

Kawano, Alexandre ^[1] ; Zine, Abdelmalek ^[2] ; Morooka, Celso ^[3] ; Ichchou, Mohamed ^[4]

Affiliation

^[1] Univ Sao Paulo, Escola Politecn, Av Prof Mello Moraes 2231, BR-05508900 Sao Paulo - Brazil

^[2] ICJ, Ecole Cent Lyon, 36 Ave Guy Collongue, F-69134 Ecully - France

^[3] Univ Estadual Campinas, FEM, DE, BR-13083970 Campinas, SP - Brazil

^[4] Ecole Cent Lyon, LTDS, 36 Av Guy Collongue, F-69134 Ecully - France

• Document type: Journal article
• Source: OCEAN ENGINEERING; v. 222, FEB 15 2021.
• Web of Science Citations: 0

Abstract

The aim of this work is twofold. We analyze a dynamical model for the transversal motion of a vertical riser, which is a long tube used in the petroleum industry for subsea well drilling operations, and in other cases to bring the oil from the bottom to the sea surface. After the analysis, we propose a new numerical approach to solve the resulting system of coupled differential equations. The proposed model, in which transversal displacements are coupled with longitudinal ones, is analyzed from a mathematical point of view, where we proved the existence, and uniqueness for the resulting system of differential equations. A numerical model based on finite element method is discussed and successfully implemented in a Matlab code. The numerical results are compared to those obtained by a commercial computation code ORCAFLEX (Orcina, 2014) and also the experiments. In both situations, the obtained results are very satisfactory and encouraging. (AU)

• FAPESP's process: 15/50461-0 - A contribution to safety and reliability of pipelines and risers in the petroleum industry applications of mathematical inverse problems techniques
• Grantee: Alexandre Kawano
• Support Opportunities: Regular Research Grants