Leak Location Detection in Underground Pipeline Using Transient Pollutant Propagation Concentration Signature Analysis with Theory of Hypernumbers

Year : 2025 | Volume : 12 | Issue : 01 | Page : 13 22
    By

    Arkadiy Dantske,

  • Jane Brito,

  1. Principal Investigator, 15216 116th PL NE, Kirkland WA, USA
  2. Researcher, 15216 116th PL NE, Kirkland WA, USA

Abstract

The paper introduces a new analytical method of detecting leakage locations in underground pipe systems. For the first time, the phenomenon of pollutant backflush through leaks in liquid transport systems is used for algorithmic leak location identification. The paper compares the proposed concept with known monitoring methods. The theoretical analysis of the method’s capability to increase leak localization distance and detect the location of tiny holes in pipelines is provided. The stable contaminant transport does not create a concentration signature that can be used for leak localization. The method includes setting pollutant transport in a transient regime by changing the liquid flow velocity in a pipe. The localization distance and diffusion coefficient that satisfies the best-fit criteria between experimental and theoretical concentrations are defined. The time serious concentration depends uniquely on the distance from pollutant injection to the monitoring point and diffusion coefficient. Due to this, the unique value of the distance is defined using the best-fit algorithm. Because pollutants will be present at any distance after injection, the method can be used by setting one sensor. The solution for best-fit criteria equations is found using the hypernumbers theory. This method provides a rapid computation and guarantees the convergence of nonlinear operator equations solution.

Keywords: leakage, localization, pollutant, intrusion, transient, model, hypernumber

[This article belongs to Research & Reviews: Discrete Mathematical Structures ]

How to cite this article:
Arkadiy Dantske, Jane Brito. Leak Location Detection in Underground Pipeline Using Transient Pollutant Propagation Concentration Signature Analysis with Theory of Hypernumbers. Research & Reviews: Discrete Mathematical Structures. 2025; 12(01):13-22.
How to cite this URL:
Arkadiy Dantske, Jane Brito. Leak Location Detection in Underground Pipeline Using Transient Pollutant Propagation Concentration Signature Analysis with Theory of Hypernumbers. Research & Reviews: Discrete Mathematical Structures. 2025; 12(01):13-22. Available from: https://journals.stmjournals.com/rrdms/article=2025/view=214754


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Regular Issue Subscription Original Research
Volume 12
Issue 01
Received 05/02/2025
Accepted 03/03/2025
Published 15/06/2025
Publication Time 130 Days
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