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A Bayesian analysis of fluid flow in pipe‐lines

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  • Jonathan Rougier
  • Michael Goldstein

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.

Suggested Citation

  • Jonathan Rougier & Michael Goldstein, 2001. "A Bayesian analysis of fluid flow in pipe‐lines," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(1), pages 77-93.
    • Handle: RePEc:bla:jorssc:v:50:y:2001:i:1:p:77-93
    DOI: 10.1111/1467-9876.00221
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    Cited by:

    1. Huan-Feng Duan, 2015. "Uncertainty Analysis of Transient Flow Modeling and Transient-Based Leak Detection in Elastic Water Pipeline Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5413-5427, November.
    2. Zaid Tashman & Christoph Gorder & Sonali Parthasarathy & Mohamad M. Nasr-Azadani & Rachel Webre, 2020. "Anomaly Detection System for Water Networks in Northern Ethiopia Using Bayesian Inference," Sustainability, MDPI, vol. 12(7), pages 1-16, April.

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