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One-Dimensional Modeling of Pipeline Transients

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Book cover Modeling and Monitoring of Pipelines and Networks

Part of the book series: Applied Condition Monitoring ((ACM,volume 7))

Abstract

This chapter summarizes the one-dimensional modeling of transients in a pipeline, commonly used for detection and location of faults (such as leaks and obstructions) by means of model-based methods. The modeling starts with the discretization via finite-difference method of classical water hammer equations. The result of such a discretization is a system of ordinary differential equations, which is considered together with boundary conditions that represent faults and pipeline accessories. Some illustrative results are finally given based on a test bench.

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References

  • Begovich, O., Pizano, A., & Besançon, G. (2012). On-line implementation of a leak isolation algorithm in a plastic pipeline prototype. Latin American Applied Research, 57, 131–141.

    Google Scholar 

  • Benkherouf, A. & Allidina, A. (1988). Leak detection and location in gas pipielines. IEE Proceedings. Part D. Control Theory Applications, 135(2), 142–148.

    Google Scholar 

  • Besançon, G., Georges, D., Begovich, O., Verde, C., & Aldana, C. (2007). Direct observer design for leak detection and estimation in pipelines. European Control Conference (pp. 5666–5670). Greece: Kos.

    Google Scholar 

  • Billman, L., & Isermann, R. (1984). Leak detection methods for pipelines. 9th IFAC World Congress (pp. 1813–1818). Hungary: Budapest.

    Google Scholar 

  • Castro Burgos, L., & Valdés-González, H. (2009). Detección de pérdidas en tuberías de agua: Propuesta basada en un banco de filtros. Revista Chilena de Ingeniería, 17(3), 375–385.

    Google Scholar 

  • Çengel, Y. & Cimbala, J. (2006). Fluid Mechanics. New York: McGraw-Hill.

    Google Scholar 

  • Chaudhry, M. H. (2014). Applied Hydraulic Transients. New York: Springer.

    Book  Google Scholar 

  • Dulhoste, J., Besançon, G., Torres, L., Begovich, O., & Navarro, A. (2011). About friction modeling for observer-based leak estimation in pipelines. In 50th IEEE Conference on Decision and Control and European Control Conference, 4413–4418.

    Google Scholar 

  • Fletcher, C. A. (2006). Computational Galerkin Methods. Heidelberg: Springer.

    MATH  Google Scholar 

  • Guillén, M., Dulhoste, J. F., Santos, R., Scola, I. R., Besançon, G., & Georges, D. (2014). Modelo dinámico para la detección y localización de obstrucciones parciales en tuberías. In XII International Congress on Numerical Methods in Engineering and Applied Sciences, Sartenajas, Venezuela.

    Google Scholar 

  • Potter, M. & Wiggert, D. (2001). Mechanics of Fluids. New York: CL Engineering.

    Google Scholar 

  • Roberson, J., Cassidy, J., & Chaudhry, M. (1997). Hydraulic Engineering. New York: Wiley.

    Google Scholar 

  • Torres, L., Besançon, G., & Georges, D. (2008). A collocation model for water hammer dynamics with application to leak detection. In 47th IEEE Conference on Decision and Control, Cancun, Mexico.

    Google Scholar 

  • Torres, L., Besançon, G., Navarro, A., Begovich, O., & Georges, D. (2011). Examples of pipeline monitoring with nonlinear observers and real-data validation. In 8th IEEE International Multi-Conference on Signals Systems and Devices, Sousse, Tunisia.

    Google Scholar 

  • Verde, C. (2005). Accommodation of multi-leak location in a pipeline. Control Engineering Practice, 13(8), 1071–1078.

    Article  Google Scholar 

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Correspondence to Jean François Dulhoste .

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Dulhoste, J.F., Guillén, M., Besançon, G., Santos, R. (2017). One-Dimensional Modeling of Pipeline Transients. In: Verde, C., Torres, L. (eds) Modeling and Monitoring of Pipelines and Networks. Applied Condition Monitoring, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-55944-5_4

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  • DOI: https://doi.org/10.1007/978-3-319-55944-5_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-55943-8

  • Online ISBN: 978-3-319-55944-5

  • eBook Packages: EngineeringEngineering (R0)

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