Factorized wave propagation model in tree-type pipe networks and its application to leak localization

Xun Wang, G. Adriana Camino, Tong Chuan Che, Mohamed S. Ghidaoui

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)


In a leaky tree-structured pipe network, transient head and discharge at a measurement location arise from a superposition of the waves along the set of pipes linking the measurement location to each boundary node. Moreover, the solution can be split into a leak-free part and a term that accounts for the scattering from the leak, the latter varies linearly with leak size and nonlinearly with leak location. It is then shown that if the head adjacent to each boundary node is measured, any reasonably-sized leak can be uniquely and efficiently identified by the matched-field processing approach. The efficiency of the leak identification scheme stems from the linear dependence of wave scattering on leak size. The proposed method is successfully applied both numerically and to pilot data from a tree-structured system of viscoelastic pipes.

Original languageEnglish
Article number107116
JournalMechanical Systems and Signal Processing
Publication statusPublished - 15 Jan 2021
Externally publishedYes


  • Leak localization
  • Matched-field processing
  • Pipe network
  • Transient wave
  • Tree network

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Civil and Structural Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Computer Science Applications


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