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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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.
Benkherouf, A. & Allidina, A. (1988). Leak detection and location in gas pipielines. IEE Proceedings. Part D. Control Theory Applications, 135(2), 142–148.
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.
Billman, L., & Isermann, R. (1984). Leak detection methods for pipelines. 9th IFAC World Congress (pp. 1813–1818). Hungary: Budapest.
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.
Çengel, Y. & Cimbala, J. (2006). Fluid Mechanics. New York: McGraw-Hill.
Chaudhry, M. H. (2014). Applied Hydraulic Transients. New York: Springer.
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.
Fletcher, C. A. (2006). Computational Galerkin Methods. Heidelberg: Springer.
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.
Potter, M. & Wiggert, D. (2001). Mechanics of Fluids. New York: CL Engineering.
Roberson, J., Cassidy, J., & Chaudhry, M. (1997). Hydraulic Engineering. New York: Wiley.
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.
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.
Verde, C. (2005). Accommodation of multi-leak location in a pipeline. Control Engineering Practice, 13(8), 1071–1078.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-55944-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-55943-8
Online ISBN: 978-3-319-55944-5
eBook Packages: EngineeringEngineering (R0)