Requirements for accurate quantification of self-affine roughness using the roughness-length method

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Abstract

The fractal dimension D and another associated fractal parameter A were calculated for different values of the input parameter of the roughness-length method to determine the fractional Brownian profiles. Suitable ranges for window length w were estimated to produce accurate D for the generated profiles. The use of at least seven w values between the estimated minimum and maximum suitable w values in estimating fractal parameters of a natural rock joint profile is recommended. Calculated cross-over lengths for the profiles investigated were found to be extremely small indicating that laser profilometers are required to make roughness measurements at interval lengths comparable to the cross-over lengths of the natural rock joint profiles.

Original languageEnglish (US)
Pages (from-to)5-18
Number of pages14
JournalInternational Journal of Rock Mechanics and Mining Sciences
Volume36
Issue number1
DOIs
StatePublished - Jan 1 1999

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

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