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A Bayesian analysis of fluid flow in pipe-lines

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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.
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Keywords: Dynamic linear model; Random field; Realtime leak detection; Waterhammer

Document Type: Original Article

Affiliations: University of Durham, UK

Publication date: 2001-01-01

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