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A Bayesian Analysis of Fluid Flow in Pipelines

Rougier, J.C.; Goldstein, M.

Authors

J.C. Rougier



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.