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

P. H.S.W. Kulatilake; J. Um

doi:10.1016/S0148-9062(98)00170-3

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

P. H.S.W. Kulatilake
, J. Um

Research output: Contribution to journal › Article › peer-review

95 Scopus citations

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 language	English (US)
Pages (from-to)	5-18
Number of pages	14
Journal	International Journal of Rock Mechanics and Mining Sciences
Volume	36
Issue number	1
DOIs	https://doi.org/10.1016/S0148-9062(98)00170-3
State	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology

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10.1016/S0148-9062(98)00170-3

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title = "Requirements for accurate quantification of self-affine roughness using the roughness-length method",

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.",

author = "Kulatilake, \{P. H.S.W.\} and J. Um",

note = "Funding Information: This research was funded by the U.S. National Science Foundation, Grant Number CMS-9522798. Dr Priscilla Nelson served as the Program Director.",

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AU - Kulatilake, P. H.S.W.

AU - Um, J.

N1 - Funding Information: This research was funded by the U.S. National Science Foundation, Grant Number CMS-9522798. Dr Priscilla Nelson served as the Program Director.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

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

Abstract

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