A Bayesian Analysis of Fluid Flow in Pipelines

Rougier, J.C.; Goldstein, M.

Abstract

The waterhammer equations are a pair of partial differential equations that describe the behaviour of an incompressible fluid in a pipe-line. We generalize these equations to account for uncertainty in the description of the liquid and the pipe-line, the behaviour of the boundaries of the pipe-line and the method of solution. We illustrate applications of our model to pipe-line design and to realtime pipe-line monitoring, e.g. for detecting leaks, and discuss the general features of our approach to the careful sourcing of uncertainty in deterministic models.

Citation

Rougier, J., & Goldstein, M. (2001). A Bayesian Analysis of Fluid Flow in Pipelines. Journal of the Royal Statistical Society: Series C, 50(1), 77-93. https://doi.org/10.1111/1467-9876.00221

• Journal Article Type: Article
• Publication Date: Feb 1, 2001
• Deposit Date: Apr 23, 2007
• Journal: Journal of the Royal Statistical Society: Series C
• Print ISSN: 0035-9254
• Electronic ISSN: 1467-9876
• Publisher: Royal Statistical Society
• Peer Reviewed: Peer Reviewed
• Volume: 50
• Issue: 1
• Pages: 77-93
• DOI: https://doi.org/10.1111/1467-9876.00221
• Keywords: Dynamic linear model, Random field, Realtime leak detection, Waterhammer.
• Public URL: https://durham-repository.worktribe.com/output/1565011