Optimization of creep function parameters of viscoelastic pipelines based on transient pressure signal

Document Type : Research Paper

Authors

1 Faculty of Civil Engineering and Architecture, Shahid Chamran University of Ahvaz, Ahvaz, Iran.

2 Faculty of Water and Environmental Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran.

10.22055/jhs.2024.47401.1309

Abstract

Determining the creep function of viscoelastic pipes is one of the challenges of modeling these pipes to calibrate or determine defects. The present research aims to determine the creep function of viscoelastic pipes using transient flow pressure in the time and frequency domains. For this purpose, the proposed method is first implemented using a numerical example. The numerical part investigated the effect of signal sample size, the number of Kelvin-Voigt (K-V) elements, repeatability, and decision variables. Then, using an experimental test, the desired methodology has been evaluated. In this research, the K-V mechanical model was used to define the creep function, and its parameters, including elastic pressure wave speed, retardation times, and creep complaint coefficients, were calibrated. The results showed that using pressure signals in both time and frequency domains provides stable results for the investigated pipeline. Examining the effect of signal size showed that the creep function can be estimated with reasonable accuracy in the time domain with a few initial cycles. Also, 14.33 dimensionless frequency for a simple reservoir-pipe-valve system can provide accurate results in the frequency domain. The results of this research can be used as a suitable pre-processing to reduce the dimensions of inputs in models based on artificial intelligence.

Keywords

Main Subjects


  1. Keramat, A., Fathi-Moghadam, M., Zanganeh, R., Rahmanshahi, M., Tijsseling, A. S., & Jabbari, E. (2020). Experimental investigation of transients-induced fluid–structure interaction in a pipeline with multiple-axial supports. Journal of Fluids and Structures93, 102848.
  2. Rahmanshahi, M., Fathi-Moghadam, M., & Haghighi, A. (2018). Leak detection in viscoelastic pipeline using inverse transient analysis. Journal of Water and Wastewater; Ab va Fazilab (in persian), 29(5), 85-97.
  3. Williams DJ (1977) Waterhammer in non-rigid pipes: precursor waves and mechanical damping. J Mech Eng Sci 19:237–242.
  4. Sharp BB, Theng KC (1987) Water hammer attenuation in uPVC pipe. In: Conference on Hydraulics in Civil Engineering 1987: Preprints of Papers: Preprints of Papers. Institution of Engineers, Australia Barton, ACT, pp 132–136.
  5. Brunone B, Berni A (2010) Wall shear stress in transient turbulent pipe flow by local velocity measurement. J Hydraul Eng 136:716–726.
  6. Güney MS (1983) Waterhammer in viscoelastic pipes where cross-section parameters are time dependent. In: 4th International Conference on Pressure Surges, England.
  7. Meniconi S, Brunone B, Ferrante M, Massari C (2012) Transient hydrodynamics of in-line valves in viscoelastic pressurized pipes: long-period analysis. Exp Fluids 53:265–275.
  8. Pezzinga G, Brunone B, Cannizzaro D, et al (2014) Two-dimensional features of viscoelastic models of pipe transients. J Hydraul Eng 140:4014036.
  9. Pezzinga G, Scandura P (1995) Unsteady flow in installations with polymeric additional pipe. J Hydraul Eng 121:802–811.
  10. Brunone B, Meniconi S, Capponi C (2018) Numerical analysis of the transient pressure damping in a single polymeric pipe with a leak. Urban Water J 15:760–768.
  11. Duan H-F, Lee PJ, Ghidaoui MS, Tung Y-K (2012) System response function–based leak detection in viscoelastic pipelines. J Hydraul Eng 138:143–153.
  12. Duan H-F, Ghidaoui M, Lee PJ, Tung Y-K (2010a) Unsteady friction and visco-elasticity in pipe fluid transients. J Hydraul Res 48:354–362. https://doi.org/10.1080/00221681003726247.
  13. Franke P-G (1983) Computation of unsteady pipe flow with respect to visco-elastic material properties. J Hydraul Res 21:345–353.
  14. Keramat A, Tijsseling AS, Hou Q, Ahmadi A (2012) Fluid–structure interaction with pipe-wall viscoelasticity during water hammer. J Fluids Struct 28:434–455.
  15. Ramos H, Covas D, Borga A, Loureiro D (2004) Surge damping analysis in pipe systems: modelling and experiments. J Hydraul Res 42:413–425.
  16. Covas D, Stoianov I, Ramos H, et al (2004) The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part I—experimental analysis and creep characterization. J Hydraul Res 42:517–532. https://doi.org/10.1080/00221686.2004.9641221.
  17. Gally M, Gu¨ ney M, Rieutord E (1979) An investigation of pressure transients in viscoelastic pipes.
  18. Pezzinga G, Brunone B, Meniconi S (2016) Relevance of pipe period on Kelvin-Voigt viscoelastic parameters: 1D and 2D inverse transient analysis. J Hydraul Eng 142:4016063.
  19. Urbanowicz K, Firkowski M, Zarzycki Z (2016) Modelling water hammer in viscoelastic pipelines: short brief. In: Journal of Physics: Conference Series. IOP Publishing, p 12037.
  20. Wineman AS, Rajagopal KR (2000) Mechanical response of polymers: an introduction. Cambridge university press.
  21. Weinerowska-Bords K (2006) Viscoelastic model of waterhammer in single pipeline-problems and questions. Arch Hydro-Engineering Environ Mech 53:331–351.
  22. Weinerowska-Bords K (2007) Accuracy and parameter estimation of elastic and viscoelastic models of water hammer. Task Q 11:383–395.
  23. Covas D, Stoianov I, Mano JF, et al (2005) The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II—Model development, calibration and verification. J Hydraul Res 43:56–70.
  24. Soares AK, Covas DIC, Reis LFR (2011) Leak detection by inverse transient analysis in an experimental PVC pipe system. J Hydroinformatics 13:153–166. https://doi.org/10.2166/hydro.2010.012.
  25. Keramat A, Haghighi A (2014) Straightforward transient-based approach for the creep function determination in viscoelastic pipes. J Hydraul Eng 140:4014058.
  26. Weinerowska-Bords K (2015) Alternative approach to convolution term of viscoelasticity in equations of unsteady pipe flow. J Fluids Eng 137.
  27. Yao E, Kember G, Hansen D (2016) Water hammer analysis and parameter estimation in polymer pipes with weak strain-rate feedback. J Eng Mech 142:4016052.
  28. Yan H, Lam MY, Lee HWJ (2018) Field measurements and theoretical modeling of hydraulic transients in HDPE pipeline with PRV interaction. In: 13th International Conference on Pressure Surges 2018. p 339.
  29. Pan B, Duan HF, Meniconi S, et al (2020). Multistage Frequency-Domain Transient-Based Method for the Analysis of Viscoelastic Parameters of Plastic Pipes. J Hydraul Eng 146:1–13.
  30. Pezzinga, G. (2023). On the characterization of viscoelastic parameters of polymeric pipes for transient flow analysis. Modelling, 4(2), 283-295.
  31. Riyahi, M. M., Rahmanshahi, M., & Ranginkaman, M. H. (2018). Frequency domain analysis of transient flow in pipelines; application of the genetic programming to reduce the linearization errors. Journal of Hydraulic Structures, 4(1), 75-90.
  32. Wang X, Lin J, Ghidaoui MS, et al (2020) Estimating viscoelasticity of pipes with unknown leaks. Mech Syst Signal Process 143:106821. https://doi.org/10.1016/j.ymssp.2020.106821.