Impulse Response Method for Pipeline Systems Equipped with Water Hammer Protection Devices

Surge protection devices, such as surge tanks and air chambers, have been modeled with the impulse response method for transient analysis of water distribution systems. The lumped inertia model and continuity equation are used to represent nonpipe hydraulic elements. Results of pressure or discharge variations obtained by using the impulse response method and the method of characteristics are in good agreement. The impulse response method provides total pressure and discharge along any pipeline segment by direct integration of the ratio of complex head or complex discharge to a complex downstream discharge, respectively. A modification is proposed so that transition between turbulent and laminar flows can be considered. The representation of hydraulic devices has been incorporated into the impedance matrix method, which was developed for heterogeneous and multilooped pipe network systems. The potential advantages of the proposed method over other conventional approaches were investigated by applying the proposed method to hypothetical pipe network systems.

[1]  Pedro Lee,et al.  Frequency Domain Analysis for Detecting Pipeline Leaks , 2005 .

[2]  I. A. Sibetheros,et al.  Spline Interpolations for Water Hammer Analysis , 1987 .

[3]  J. Liggett,et al.  Inverse Transient Analysis in Pipe Networks , 1994 .

[4]  Hanif M. Chaudhry,et al.  Applied Hydraulic Transients , 1979 .

[5]  Thong-See Lee.  A NUMERICAL METHOD FOR THE COMPUTATION OF THE EFFECTS OF AN AIR VESSEL ON THE PRESSURE SURGES IN PUMPING SYSTEMS WITH AIR ENTRAINMENT , 1998 .

[6]  Helena M. Ramos,et al.  Surge damping analysis in pipe systems: modelling and experiments Effet d'atténuation du coup de bélier dans les systèmes de conduits: modelation mathématique et expériences , 2004 .

[7]  Umberto Fratino,et al.  Effects of free outflow in rising mains with air chamber , 2002 .

[8]  Bruno Brunone,et al.  Transient Test-Based Technique for Leak Detection in Outfall Pipes , 1999 .

[9]  Sanghyun Kim.  Extensive Development of Leak Detection Algorithm by Impulse Response Method , 2005 .

[10]  Helena M. Ramos,et al.  Standing Wave Difference Method for Leak Detection in Pipeline Systems , 2005 .

[11]  David Stephenson.  EFFECTS OF AIR VALVES AND PIPEWORK ON WATER HAMMER PRESSURES , 1997 .

[12]  Sanghyun Kim,et al.  Impedance matrix method for transient analysis of complicated pipe networks , 2007 .

[13]  D. Stephenson,et al.  Simple Guide for Design of Air Vessels for Water Hammer Protection of Pumping Lines , 2002 .

[14]  Angus R. Simpson,et al.  Leak Detection and Calibration Using Transients and Genetic Algorithms , 2000 .

[15]  Harold Lorin.  Review of Distributed computing: a practical synthesis by Amjad Umar, Prentice-Hall, Englewood Cliffs 1993 , 1993 .

[16]  E. Wylie,et al.  Impulse Response Method for Frequency-Dependent Pipeline Transients , 1989 .

[17]  B. Karney,et al.  Equivalent Differential Equations in Fixed‐Grid Characteristics Method , 1994 .