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Water Distribution Network Risk Analysis Under Simultaneous Consumption and Roughness Uncertainties

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  • S. Seifollahi-Aghmiuni
  • O. Bozorg Haddad
  • M. Mariño

Abstract

The design of water distribution networks (WDNs) is an optimization problem with minimization of pipes and their associated installation costs as the objective function. In this problem, securing the allowable minimum pressure or the allowable maximum velocity in the demand pattern is important. A reliable long-term system requires a high reliability when first designed. Thus, assessment of the network condition during the operational period, when it is first designed, can be an effective way to increase the network efficiency. In addition, consideration of uncertainty of network parameters is important. This paper develops a probabilistic model based on the Monte Carlo simulation (MCS) method to assess effects of those uncertainties simultaneously in the long-term performance of the network by considering various scenarios for variations of nodal demands and pipe roughness using different values of the coefficient of variation (CV) as the uncertainty measure. Consumption nodal demands and pipe roughness in a benchmark two-loop network are considered as uncertain variables. Calculation of a deterministic performance (failure) index (I f ) for various generated probabilistic scenarios in the MCS method during a 30-year operational period simulation in this network show that an increase of uncertainty in each variable separately causes a decrease in the deterministically-designed network efficiency. Sensitivity of changing the average value of I f calculations show a nodal demand deficit of 45 % and a nodal pressure deficit of 61 % during the operational period. This condition shows the necessity of considering uncertain changes of variables simultaneously during the operational period in the design of WDNs. Copyright Springer Science+Business Media Dordrecht 2013

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  • S. Seifollahi-Aghmiuni & O. Bozorg Haddad & M. Mariño, 2013. "Water Distribution Network Risk Analysis Under Simultaneous Consumption and Roughness Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2595-2610, May.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:7:p:2595-2610
    DOI: 10.1007/s11269-013-0305-4
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    References listed on IDEAS

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    1. Elahe Fallah-Mehdipour & Omid Bozorg Haddad & Soheila Beygi & Miguel Mariño, 2011. "Effect of Utility Function Curvature of Young’s Bargaining Method on the Design of WDNs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(9), pages 2197-2218, July.
    2. Mohammadjafar Soltanjalili & Omid Bozorg-Haddad & Migual Mariño, 2011. "Effect of Breakage Level One in Design of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(1), pages 311-337, January.
    3. S. Seifollahi-Aghmiuni & Omid Bozorg Haddad & M. Omid & M. Mariño, 2013. "Effects of Pipe Roughness Uncertainty on Water Distribution Network Performance During its Operational Period," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1581-1599, March.
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