Bayesian Modelling of Offshore Platforms
Abstract
This paper details a case study, where Bayesian methods are used to estimate the model parameters of an offshore platform. This first involves running a series of Finite Element simulations using the Ramboll Offshore Structural Analysis Programs (ROSAP)—developed by Ramboll Oil & Gas—thus establishing how the modal characteristics of an offshore structure model vary as a function of its material properties. Data based modelling techniques are then used to emulate the Finite Element model, as well as estimates of model error. The uncertainties associated with estimating the hyperparameters of the data based modelling techniques are then analysed utilising Markov chain Monte Carlo (MCMC) methods. The resulting analysis takes account of the uncertainties which arise from measurement noise, model error, model emulation and parameter estimation.
Keywords
System identification Model updating Offshore platform Gaussian process Uncertainty quantificationReferences
- 1.Ramboll Oil & Gas: Ramboll Offshore Structural Analysis Programs (ROSAP). www.ramboll.com/oil-gas.
- 2.Kennedy, M.C., O’Hagan, A.: Bayesian calibration of computer models. J. R. Stat. Soc. 63 (3), 425–464 (2001)MathSciNetCrossRefMATHGoogle Scholar
- 3.Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, Berlin (2006)MATHGoogle Scholar
- 4.MacKay, D.J.C.: Information Theory, Inference and Learning Algorithms. Cambridge University Press, Cambridge (2003)MATHGoogle Scholar
- 5.Ching, J., Chen, Y.C.: Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging. J. Eng. Mech. 133 (7), 816–832 (2007)CrossRefGoogle Scholar
- 6.Green, P.L., Worden, K.: Bayesian and Markov chain Monte Carlo methods for identifying nonlinear systems in the presence of uncertainty. Philos. Trans. R. Soc. A 373 (2051), 20140405 (2015)CrossRefGoogle Scholar
- 7.Higdon, D., Gattiker, J., Williams, B., Rightley, M.: Computer model calibration using high-dimensional output. J. Am. Stat. Assoc. 103 (482), 570–583 (2008)MathSciNetCrossRefMATHGoogle Scholar