Fourier-shape-based reconstruction of rock joint profile with realistic unevenness and waviness features

Rock joint shape characteristics, waviness and unevenness play essential but distinct roles in shear mechanism of rock joints. This study presents a novel method to generate virtual rock joint profiles with realistic waviness and unevenness features. Firstly, joint profiles are obtained by 3D laser...

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Bibliographic Details
Published in:Journal of Central South University 2019-11, Vol.26 (11), p.3103-3113
Main Authors: Nie, Zhi-hong, Wang, Xiang, Huang, Dong-liang, Zhao, Lian-heng
Format: Article
Language:English
Subjects:
Engineering
Fourier transforms
Metallic Materials
Parameters
Reconstruction
Unevenness
Waviness
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Summary:Rock joint shape characteristics, waviness and unevenness play essential but distinct roles in shear mechanism of rock joints. This study presents a novel method to generate virtual rock joint profiles with realistic waviness and unevenness features. Firstly, joint profiles are obtained by 3D laser scanning device. Secondly, quantification of waviness and unevenness is conducted by traditional method, including digital filtering technique and roughness parameter R L . Thirdly, the discrete Fourier transform (DFT) method is employed to analyze the joint outlines. Two representative Fourier shape descriptors ( D 3 , D 8 ) for characterization of waviness and unevenness are suggested. Then, the inverse discrete Fourier transform (IDFT) is adopted to reconstruct the joint profiles with random values of phase angles but prescribed amplitudes controlled by D 3 and D 8 . The traditional method is then applied to the reconstructed joint profiles to examine statistically the relationships between D 3 and D 8 and parameters R L of waviness and unevenness, respectively. The results show that larger D 8 tends to result in larger waviness while higher D 3 tends to increase unevenness. Reference charts for estimation of waviness and unevenness with different pairs of D 3 and D 8 are also provided to facilitate implementation of random joint reconstruction.
ISSN:2095-2899
2227-5223
DOI:10.1007/s11771-019-4239-8