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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 298281, 7 pages
http://dx.doi.org/10.1155/2014/298281
Research Article

Mathematical Model of Pipeline Abandonment and Recovery in Deepwater

1College of Mechanical and Transportation Engineering, China University of Petroleum, Beijing 102249, China
2Offshore Oil and Gas Research Center, China University of Petroleum, Beijing 102249, China

Received 28 September 2013; Accepted 10 December 2013; Published 29 January 2014

Academic Editor: M. Montaz Ali

Copyright © 2014 Xia-Guang Zeng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In offshore oil and gas engineering the pipeline abandonment and recovery is unavoidable and its mechanical analysis is necessary and important. For this problem a third-order differential equation is used as the governing equation in this paper, rather than the traditional second-order one. The mathematical model of pipeline abandonment and recovery is a moving boundary value problem, which means that it is hard to determine the length of the suspended pipeline segment. A novel technique for the handling of the moving boundary condition is proposed, which can tackle the moving boundary condition without contact analysis. Based on a traditional numerical method, the problem is solved directly by the proposed technique. The results of the presented method are in good agreement with the results of the traditional finite element method coupled with contact analysis. Finally, an approximate formula for quick calculation of the suspended pipeline length is proposed based on Buckingham’s Pi-theorem and mathematical fitting.