A grey system approach for estimating the hölderian regularity with an application to algerian well log data

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dc.contributor.authorGaci, Said
dc.contributor.authorNicolis, Orietta
dc.date.accessioned2025-05-30T17:37:59Z
dc.date.available2025-05-30T17:37:59Z
dc.date.issued2021-09
dc.descriptionIndexación: Scopus.
dc.description.abstractThe Hölderian regularity is an important mathematical feature of a signal, connected with the physical nature of the measured parameter. Many algorithms have been proposed in lit-erature for estimating the local Hölder exponent value, but all of them lead to biased estimates. This paper attempts to apply the grey system theory (GST) on the raw signal for improving the accuracy of Hölderian regularity estimation. First, synthetic logs data are generated by the succes-sive random additions (SRA) method with different types of Hölder functions. The application on these simulated signals shows that the Hölder functions estimated by the GST are more precise than those derived from the raw data. Additionally, noisy signals are considered for the same ex-periment, and more accurate regularity is obtained using signals processed using GST. Second, the proposed technique is implemented on well log data measured at an Algerian exploration bore-hole. It is demonstrated that the regularity determined from the well logs analyzed by the GST is more reliable than that inferred from the raw data. In addition, the obtained Hölder functions al-most reflect the lithological discontinuities encountered by the well. To conclude, the GST is a powerful tool for enhancing the estimation of the Hölderian regularity of signals. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.description.accesoabiertoSI
dc.description.agradThe authors would like to thank the guest editor and all three anonymous referees for their constructive comments and suggestions.
dc.description.urihttps://www.mdpi.com/2504-3110/5/3/86
dc.identifier.citationFractal and Fractional, Volume 5, Issue 3, September 2021, Article number 86
dc.identifier.doi10.3390/fractalfract5030086
dc.identifier.generoH
dc.identifier.issn2504-3110
dc.identifier.urihttps://repositorio.unab.cl/handle/ria/65026
dc.language.isoen
dc.publisherMDPI AG
dc.rights.licenseAttribution 4.0 International CC BY 4.0 Deed
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectFractal
dc.subjectGrey system theory
dc.subjectHölder exponent
dc.subjectWell logs
dc.titleA grey system approach for estimating the hölderian regularity with an application to algerian well log data
dc.typeArtículo
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