Hybrid models for handling variability and uncertainty in probabilistic and possibilistic failure analysis of corroded pipes

Abstract The pipes carrying oil and gas are inspected for any damage that can lead to leakages and ruptures. Unfortunately, the data collected from these inspections is always inflicted with a number of imperfections, like variability, uncertainty and imprecision. These imperfections can be handled using the traditional probabilistic approach or the possibilistic approach. Both of these approaches have their own advantages and disadvantages. The probabilistic approach tends to give very low probability for events resulting from the low probability input values. This can often give a false sense of security, especially when the “weakest” link may cause a major accident. On the other hand the possibilistic approach is rather imprecise and may give over conservative and uneconomical recommendations. The recent advances in the field of fuzzy-probabilistic modelling offer an improvement in the way the calculations have been traditionally carried out by using the strengths of both techniques. This paper presents two different hybrid approaches for calculating the likelihood of failure of corroded pipes under internal pressure.

[1]  Didier Dubois,et al.  Joint Treatment of Imprecision and Randomness in Uncertainty Propagation , 2006 .

[2]  M. Aral,et al.  2D Monte Carlo versus 2D Fuzzy Monte Carlo health risk assessment , 2005 .

[3]  Robert E. Melchers,et al.  Reliability estimation of pressurised pipelines subject to localised corrosion defects , 1996 .

[4]  Maneesh Kumar Singh,et al.  Handling of variability in probabilistic and possibilistic failure analysis of corroded pipes , 2014, Int. J. Syst. Assur. Eng. Manag..

[5]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[6]  Maneesh Kumar Singh,et al.  Simultaneous handling of variability and uncertainty in probabilistic and possibilistic failure analysis of corroded pipes , 2014, Int. J. Syst. Assur. Eng. Manag..

[7]  Barry N. Taylor,et al.  Guidelines for Evaluating and Expressing the Uncertainty of Nist Measurement Results , 2017 .

[8]  Didier Dubois,et al.  Postprocessing the Hybrid Method for Addressing Uncertainty in Risk Assessments , 2005 .

[9]  A. C. Benjamin,et al.  Part 3: Burst tests of pipeline with extensive longitudinal metal loss , 2006 .

[10]  Didier Dubois,et al.  Probability-Possibility Transformations, Triangular Fuzzy Sets, and Probabilistic Inequalities , 2004, Reliab. Comput..

[11]  M. Ahammed,et al.  Probabilistic estimation of remaining life of a pipeline in the presence of active corrosion defects , 1998 .

[12]  M. Ahammed,et al.  Prediction of remaining strength of corroded pressurised pipelines , 1997 .

[13]  G. Mauris,et al.  A fuzzy approach for the expression of uncertainty in measurement , 2001 .

[14]  Didier Dubois,et al.  Hybrid approach for addressing uncertainty in risk assessments , 2003 .

[15]  T. Ross Fuzzy Logic with Engineering Applications , 1994 .

[16]  S A Bell,et al.  A beginner's guide to uncertainty of measurement. , 2001 .

[17]  S. Standard GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .