Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Reliability evaluation of water distribution network considering mechanical characteristics using informational entropy

  • Kashani, Mostafa Ghanbari (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Hosseini, Mahmood (International Institute of Earthquake Engineering and Seismology, (IIEES)) ;
  • Aziminejad, Armin (Department of Civil Engineering, Science and Research Branch, Islamic Azad University)
  • Received : 2015.07.27
  • Accepted : 2016.01.05
  • Published : 2016.04.10
⟨ Previous Next ⟩

Abstract

Many studies have been carried out to investigate the important factors in calculating the realistic entropy amount of water distribution networks, but none of them have considered both mechanical and hydraulic characteristics of the networks. Also, the entropy difference in various networks has not been calculated exactly. Therefore, this study suggested a modified entropy function to calculate the informational entropy of water distribution networks so that the order of demand nodes and entropy difference among various networks could be calculated by taking into account both mechanical and hydraulic characteristics of the network. This modification was performed through defining a coefficient in the entropy function as the amount of outflow at each node to all dissipated power in the network. Hence, a more realistic method for calculating entropy was presented by considering both mechanical and hydraulic characteristics of network while keeping simplicity. The efficiency of the suggested method was evaluated by calculating the entropy of some sample water networks using the modified function.

Keywords

References

  1. Ang, W.K. and Jowitt, P. (2003), "Some observations on energy loss and network entropy in water distribution networks", Eng. Optim., 35(4), 375-389. https://doi.org/10.1080/0305215031000154668
  2. Ang, W.K. and Jowitt, P. (2005a), "Some new insights on informational entropy for water distribution networks", Eng. Optim., 37(3), 277-289. https://doi.org/10.1080/0305215512331328259
  3. Ang, W.K. and Jowitt, P. (2005b), "Path entropy method for multiple-source water distribution networks", Eng. Optim., 37(7), 705-715. https://doi.org/10.1080/03052150500114255
  4. Awumah, K., Goulter, I. and Bhatt, S.K. (1991), "Entropy based redundancy measures in water distribution network design", J. Hydra. Eng., ASCE, 117(5), 595-614. https://doi.org/10.1061/(ASCE)0733-9429(1991)117:5(595)
  5. Awumah, K., Goulter, I. and Bhatt, S.K., (1990), "Assessment of reliability in water distribution networks using entropy-based measures", Stochast. Hydrology Hydra., 4(4), 309-320. https://doi.org/10.1007/BF01544084
  6. Cullinane, J.M. (1985), "Reliability evaluation of water distribution system components", Hydra. Hydro. Small Comput. Age, ASCE, 1, 353-358.
  7. Hosseini, M. and Emamjomeh, H. (2010), "A method for assessmentof water distribution networks' redundancyby using informational entropy", 4th International Conference from Scientific Computing to Computational Engineering 4th IC-SCCE, Athens.
  8. Hosseini, M. and Emamjomeh, H. (2014), "Entropy-based serviceability assessment of water distribution networks subjected to natural and man-made hazards", Int. J. Eng., 27(5), 675-688.
  9. Javanbarg, M.B., Takada, S. and Kuwata, Y. (2006), "Seismic vulnerability evaluation of water delivery system", The 12th Japan Earthquake Engineering Symposium, Tokyo, Japan.
  10. Khinchin, A.I. (1953), "The entropy concept in probability theory", Uspekhi Mathematicheskikh Nauk, 8(3), 2-30.
  11. Khinchin, A.I. (1957), Mathematical Foundations of Information Theory, Dover, New York.
  12. Moghtaderizadeh, M. and Kiureghian, A. (1983), "Reliability upgrading of lifeline networks for postearthquake serviceability", Earthq. Eng. Struct. Dyn., 11(4), 557-566. https://doi.org/10.1002/eqe.4290110408
  13. Ostfeld, A. (2001), "Reliability analysis of regional water distribution systems", Urban Water, 3(4), 253-260. https://doi.org/10.1016/S1462-0758(01)00035-8
  14. Quimpo, R.G. and Shamsi, U.M. (1991), "Reliability-based distribution system maintenance", J. Water Resour. Plan. Manage, ASCE, 117, 321-339. https://doi.org/10.1061/(ASCE)0733-9496(1991)117:3(321)
  15. Selcuk, R.D.A.S. and Yucemen, M.S. (1999), "Reliability of lifeline networks under seismic hazard", Reliab. Eng. Syst. Saf., 65(3), 213-227. https://doi.org/10.1016/S0951-8320(98)00098-2
  16. Shannon, C. (1948), "A mathematical theory of communication", Bell Syst. Tech. J., 27, 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
  17. Shinstine, D.S., Ahmed, I. and Lansey, K.E. (2002), "Reliability/availability analysis of municipal water distributionnetworks: case studies", J. Water Resour. Plan. Manage., ASCE, 128(2), 140-151. https://doi.org/10.1061/(ASCE)0733-9496(2002)128:2(140)
  18. Tanyimboh, T. and Sheahan, C. (2002), "A maximum entropy based approach to the layout optimization of water distribution systems", Civil Eng. Environ. Syst., 19(3), 223-253. https://doi.org/10.1080/10286600214153
  19. Tanyimboh, T.T. and Templeman, A.B (1993a), "Calculating maximum entropy flows in networks", J. Operat. Res. Soc., 44(4), 383-393. https://doi.org/10.1057/jors.1993.68
  20. Tanyimboh, T.T. and Templeman, A.B. (1993b), "Maximum entropy flows for single-source networks", Eng. Optim., 22(1), 49-63. https://doi.org/10.1080/03052159308941325
  21. Tanyimboh, T.T. and Templeman, A.B. (2000), "A quantified assessment of the relationship between the reliability and entropy of water distribution systems", Eng. Optim., 33(2), 179-199. https://doi.org/10.1080/03052150008940916
  22. Tanyimboh, T.T. and Templeman, A.B. (1998), "Calculating the reliability of single-source networks by the source head method", Adv. Eng. Softw., 29(7-9), 499-505. https://doi.org/10.1016/S0965-9978(98)00016-7
  23. Tanyimboh, T.T., Burd, R., Burrows, R. and Tabesh, M. (1999), "Modelling and reliability analysis of water distribution systems", Water Sci. Tech., 39(4), 249-255. https://doi.org/10.1016/S0273-1223(99)00072-4
  24. Tanyimboh, T.T., Tabesh, M. and Burrows, R. (2001), "Appraisal of source head methods for calculating reliability of waterdistribution networks", J. Water Resour. Plan. Manage., ASCE, 127(4), 206-213. https://doi.org/10.1061/(ASCE)0733-9496(2001)127:4(206)
  25. Wagner, J.M., Shamir, U. and Marks, D.H. (1988), "Water distribution reliability: analytical methods", J. Water Resour. Plan. Manag., ASCE, 114(3), 253-275. https://doi.org/10.1061/(ASCE)0733-9496(1988)114:3(253)
  26. Walters, G.A. (1995), "Discussion on: maximum entropy flows in single source networks", Eng. Optim., 25(2), 155-163. https://doi.org/10.1080/03052159508941260
  27. Yassin-Kassab, A., Templeman, A.B. and Tanyimboh, T.T. (1999), "Calculating maximum entropy flows In multi-source, multi-demand networks", Eng. Optim., 31(6), 695-729. https://doi.org/10.1080/03052159908941393

Cited by

  1. A comprehensive approach to flow-based seismic risk analysis of water transmission network vol.73, pp.3, 2020, https://doi.org/10.12989/sem.2020.73.3.339
  2. Flow-based seismic resilience assessment of urban water transmission networks vol.79, pp.4, 2016, https://doi.org/10.12989/sem.2021.79.4.517