Publication details for Michael GoldsteinRougier, J.C. & Goldstein, M. (2001). A Bayesian Analysis of Fluid Flow in Pipelines. Applied statistics a journal of the Royal Statistical Society 50(1): 77-93.
- Publication type: Journal Article
- ISSN/ISBN: 0035-9254, 1467-9876
- DOI: 10.1111/1467-9876.00221
- Keywords: dynamic linear model; random field; realtime leak detection; waterhammer
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.