TY - JOUR
T1 - Requirements for accurate quantification of self-affine roughness using the roughness-length method
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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U2 - 10.1016/S0148-9062(98)00170-3
DO - 10.1016/S0148-9062(98)00170-3
M3 - Article
AN - SCOPUS:0033039993
SN - 1365-1609
VL - 36
SP - 5
EP - 18
JO - International Journal of Rock Mechanics and Mining Sciences
JF - International Journal of Rock Mechanics and Mining Sciences
IS - 1
ER -