Piecewise Deterministic Markov Processes based approach applied to an offshore oil production system

This paper is keeping with the topic of two papers which treated dynamic reliability problems and were presented in previous conferences. Its aim is to confirm the potentialities of a method which combines the high modeling ability of the piecewise deterministic processes and the great computing power inherent to the Monte Carlo simulation. This method is now applied to a simplified but realistic offshore oil production system which is a hybrid system combining continuous-time and discrete-time dynamics. The results thus obtained have been compared with those given by an ad hoc Petri net model for comparison and validation purposes.

[1]  Mark H. Davis Markov Models and Optimization , 1995 .

[2]  RichardPattarozzi,et al.  Deepwater petroleum exploration & production:A nontechnical guide , 2004 .

[3]  Yves Dutuit,et al.  The AltaRica data-flow language in use: modeling of production availability of a multi-state system , 2006, Reliab. Eng. Syst. Saf..

[4]  Benoîte de Saporta,et al.  Dynamic reliability : towards efficient simulation of the availability of a feedwater control system , 2011 .

[5]  Yoshio Kawauchi,et al.  A new approach to production regularity assessment in the oil and chemical industries , 2002, Reliab. Eng. Syst. Saf..

[6]  Mark H. A. Davis Piecewise-deterministic Markov processes , 1993 .

[7]  M. Marseguerraa,et al.  A concept paper on dynamic reliability via Monte Carlo simulation , 1998 .

[8]  Formalisation d'une approche structurée de modélisation d'un système industriel complexe par Réseaux de Petri : application aux systèmes de production pétroliers offshore Ultra Grands Fonds , 2007 .

[9]  Andrea Bobbio,et al.  Stochastic Petri Nets Supporting Dynamic Reliability Evaluation , 2006 .

[10]  Terje Aven,et al.  Availability evaluation of oil/gas production and transportation systems , 1987 .

[11]  Yong Bai,et al.  Subsea Engineering Handbook , 2012 .

[12]  H Zhang,et al.  Piecewise deterministic Markov processes and dynamic reliability , 2006 .

[13]  Pierre-Etienne Labeau,et al.  Dynamic reliability: towards an integrated platform for probabilistic risk assessment , 2000, Reliab. Eng. Syst. Saf..

[14]  Carol-Sophie Smidts,et al.  Dynamic Reliability: Future Directions, Proceedings of the fourth workshop on dynamic reliability , 2000 .

[15]  R. Sanfelice,et al.  Hybrid dynamical systems , 2009, IEEE Control Systems.

[16]  Philippe Thomas,et al.  Make your Petri nets understandable: Reliability block diagrams driven Petri nets , 2013, Reliab. Eng. Syst. Saf..