Open Access Open Access  Restricted Access Subscription or Fee Access

Numerical Modeling for chaotic characteristics of oil pipeline pressure time series

Jianjun Xu, Shengnan Liu, Bin Xu, Xu Xu


Nonlinear analysis is used to study the possibility of chaotic behavior of pipeline pressure signal in this paper. Six typical measured data of pipeline pressure are selected and reconstructed to the higher dimension phase space. And then the largest Lyapunov exponent of each data is calculated to test and verify the chaotic characteristics of the pressure signals. The approximate entropy (ApEn) has been applied to extract the nonlinear and chaotic characteristics of pipeline pressure signals. By calculating the ApEn of normal, regulation and leakage signals, the results indicate that the value ranges of three kinds of signals are above 0.35, below 0.025, and from 0.025 to 0.35. And the identification rate of pipeline leakage has reached 90.0% only based on ApEn. Thus, the more effective foundations of classification and identification of the pressure signals are provided.


chaotic time series, oil pipeline, leakage detection, approximate entropy.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.