利用声学信号的分形分析检测管道泄漏

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2024-04-05 DOI:10.3390/fractalfract8040213

Ayrat Zagretdinov, Shamil Ziganshin, Eugenia Izmailova, Yuri Vankov, Ilya Klyukin, Roman Alexandrov

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引用次数: 0

摘要

本文考虑了利用管道声学信号的单分形和多分形分析来检测泄漏的可能性。为了研究带有 "狭缝 "型缺陷的管道声信号的分形特征，我们搭建了一个实验台。在实验过程中，对尺寸为 2 毫米、8 毫米和 20 毫米的 "狭缝 "型管道缺陷进行了建模。实验中使用了去趋势波动分析（DFA）和多分形去趋势波动分析（MF-DFA）。实验研究发现，在具有多分形特性的管道中，泄漏的发生会导致反相关振动的发生。通过 DFA 和 MF-DFA 方法对声学信号进行分析，可以可靠地确定泄漏情况。赫斯特指数和多分形频谱的宽度可以作为管道发生泄漏的指标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals

In this paper, the possibility of using monofractal and multifractal analysis of acoustic signals of pipelines to detect leaks is considered. An experimental stand has been created to study the fractal characteristics of acoustic signals of pipelines with “slit” type defects. During the experiments, defects of the “slit” type pipeline with dimensions of 2 mm, 8 mm, and 20 mm were modeled. Detrended fluctuation analysis (DFA) and the multifractal detrended fluctuation analysis (MF-DFA) were used. As a result of the experimental studies, it was found that the occurrence of leakage leads to the occurrence of anticorrelated vibrations in a pipeline with multifractal properties. The analyses of acoustic signals by DFA and MF-DFA methods make it possible to reliably determine the leakage. The Hurst exponent and the width of the multifractal spectrum can serve as indicators of the occurrence of leaks in pipelines.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.