Leak Localization in Looped Pipe Networks Based on a Factorized Transient Wave Model: 2. Regularization of Ill-Conditioned Problems

Tong Chuan Che, Xun Wang, Moez Louati, Ling Zhou, Mohamed S. Ghidaoui

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

A previous paper proposed an accurate and efficient matched-field processing method for leak localization in looped pipe networks based on the known discharge and pressure head (i.e., hydraulic properties) at all internal nodes. However, the computation of these internal hydraulic properties from boundary measurements is an ill-conditioned inverse problem: for a small perturbation in the boundary measurements there is a huge change in the internal hydraulic properties. We prove and clarify the invalidity of the classic Tikhonov regularization for this ill-conditioned problem. As an alternative, this paper derives the theoretical upper bounds of noise-induced errors, based on which a threshold is determined for identifying ill-conditioned frequencies. The leak localization is implemented by discarding wave information at all ill-conditioned frequencies. This results in an efficient and robust algorithm for leak localization in noisy environments. Numerical experiments demonstrate that an unknown leak anywhere in looped pipe networks can be accurately localized by the proposed algorithm.

Original languageEnglish
Article numbere2022WR033293
JournalWater Resources Research
Volume58
Issue number11
DOIs
Publication statusPublished - Nov 2022
Externally publishedYes

Keywords

  • ill-conditioned problem
  • leak localization
  • looped pipe network
  • regularization
  • transient wave

ASJC Scopus subject areas

  • Water Science and Technology

Fingerprint

Dive into the research topics of 'Leak Localization in Looped Pipe Networks Based on a Factorized Transient Wave Model: 2. Regularization of Ill-Conditioned Problems'. Together they form a unique fingerprint.

Cite this