A Bayesian Analysis of Fluid Flow in Pipelines
Rougier, J.C.; Goldstein, M.
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.
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|
|Publisher||Royal Statistical Society|
|Peer Reviewed||Peer Reviewed|
|Keywords||Dynamic linear model, Random field, Realtime leak detection, Waterhammer.|
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