Pipe roughness identification of water distribution networks: The full turbulent case

Stefan Kaltenbacher*, Martin Steinberger, Martin Horn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper proposes a technique to identify individual pipe roughness parameters in a water distribution network by means of the inversion of the steady-state hydraulic network equations. By enabling the reconstruction of these hydraulic friction parameters to be reliable, this technique improves the conventional model’s accuracy and thereby promises to enhance model-based leakage detection and localization. As it is the case in so-called fireflow tests, this methodology is founded on the premise to measure the pressure distributed at a subset of nodes in the network’s graph while assuming the nodal consumption to be known. Beside of the proposed problem formulation, which is restricted to only allow turbulent flow in each of the network’s pipes initially, developed algorithms are presented and evaluated using simulation examples.
Original languageEnglish
Pages (from-to)879-894
Number of pages16
JournalApplied Mathematical Modelling
Issue number80
Publication statusPublished - Apr 2020


  • Roughness calibration
  • Water distribution networks
  • Parameter identification
  • Colebrook–White
  • Darcy–Weisbach
  • Hydraulic friction parameters

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation


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