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Uncertainty quantification of water age in water supply systems by use of spectral propagation

机译:利用光谱传播对供水系统中水龄进行不确定性量化

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摘要

Water distribution networks are critical infrastructures that should ensure the reliable supply of high quality potable water to its users. Numerical models of these networks are generally governed by many parameters for which the exact value is not known. This may be due to a lack of precise knowledge like for consumer demand or due to a lack of accessibility as for the pipe roughness. For network managers, the effect of these uncertainties on the network state is important information that supports them in the decision-making process. This effect is generally evaluated by propagating the uncertainties using the mathematical model. In the past, perturbation, fuzzy and stochastic collocation methods have been used for uncertainty propagation. However, these methods are limited either in the accuracy of the results or the computational effort of the necessary calculations. This paper uses an alternative spectral approach that uses the polynomial chaos expansion and has the potential to give results of comparable accuracy to the Monte Carlo sampling through the definition of a stochastic model. This approach is applied to the hydraulic model of two real networks in order to evaluate the influence of uncertain demands on the water age.
机译:供水网络是至关重要的基础设施,应确保向其用户可靠地供应高质量的饮用水。这些网络的数值模型通常由许多参数控制,这些参数的确切值未知。这可能是由于缺乏像消费者需求这样的精确知识,或者是由于缺乏对管道粗糙度的可及性。对于网络管理员来说,这些不确定性对网络状态的影响是在决策过程中支持他们的重要信息。通常通过使用数学模型传播不确定性来评估此效果。过去,扰动,模糊和随机配置方法已用于不确定性传播。但是,这些方法在结果的准确性或必要计算的计算量方面受到限制。本文使用一种替代的频谱方法,该方法使用多项式混沌展开,并有可能通过定义随机模型来提供与蒙特卡洛采样具有可比性的精确度的结果。该方法应用于两个实际网络的水力模型,以评估不确定需求对水年龄的影响。

著录项

  • 来源
    《Journal of Hydroinformatics》 |2020年第1cd期|111-120|共10页
  • 作者单位

    Irstea Dept Water Bordeaux Reg Ctr UR ETBX 50 Ave Verdun F-33612 Gazinet Cestas France|Inria Bordeaux Sud Ouest Team MEMPHIS 200 Ave Vieille Tour F-33405 Talence France;

    Irstea Dept Water Bordeaux Reg Ctr UR ETBX 50 Ave Verdun F-33612 Gazinet Cestas France|Univ Adelaide Sch Civil Environm & Min Engn Adelaide SA 5005 Australia;

    Univ Adelaide Sch Civil Environm & Min Engn Adelaide SA 5005 Australia|3S Consult GmbH Albtalstr 13 D-76137 Karlsruhe Germany;

    CNAM Paris EA 7340 M2N Modelisat Math & Numer F-75003 Paris France;

    Inria Bordeaux Sud Ouest Team MEMPHIS 200 Ave Vieille Tour F-33405 Talence France|Univ Bordeaux IMB F-33400 Talence France;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    multimodal distribution; real network; uncertainty quantification; water age; water distribution systems;

    机译:多式联运;真实网络;不确定度量化水时代水分配系统;

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