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

考虑真实凹凸度与粗糙度特征的岩石节理轮廓傅里叶形态重构方法

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Abstract

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 RL. Thirdly, the discrete Fourier transform (DFT) method is employed to analyze the joint outlines. Two representative Fourier shape descriptors (D3, D8) 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 D3 and D8. The traditional method is then applied to the reconstructed joint profiles to examine statistically the relationships between D3 and D8 and parameters RL of waviness and unevenness, respectively. The results show that larger D8 tends to result in larger waviness while higher D3 tends to increase unevenness. Reference charts for estimation of waviness and unevenness with different pairs of D3 and D8 are also provided to facilitate implementation of random joint reconstruction.

摘要

岩石节理形态特征, 包括凹凸度与粗糙度, 是影响岩石节理剪切行为的重要因素. 本研究提出了一种新的岩石节理重构方法, 该方法能够考虑与真实节理形态相符的凹凸度与粗糙度特征. 首先, 采用 3D 镭射激光扫描的方法获取节理的表面轮廓信息. 然后, 采用传统的凹凸度与粗糙度指标对节理进行形态特征评价. 接着, 采用傅里叶变换对节理轮廓进行分析, 提出了 D3 与 D8 两个傅里叶形状指标来分别表征节理的凹凸度与粗糙度. 随后, 采用傅里叶逆变换, 通过设置随机的相位角与调控傅里叶形状指标 D3 和 D8 的大小来重构节理轮廓. 最后, 通过采用传统的凹凸度与粗糙度指标对采用傅里叶方法随机重构的节理轮廓进行分析, 研究了傅里叶形状指标 D3 和 D8 与传统的凹凸度和粗糙度指标之间的相关性. 结果表明随着 D3 的增大, 凹凸度增大; 随着 D8 的增大, 粗糙度增大. 本文将 D3 与 D8 和凹凸度与粗糙度之间的相关关系以云图的形式表示出来, 为进一步采用随机轮廓重构方法进行岩石节理数值仿真与力学模拟的相关研究提供了依据.

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Zhi-hong Nie  (聂志红), Xiang Wang  (王翔), Dong-liang Huang  (黄栋梁) & Lian-heng Zhao  (赵炼恒)

  2. Key Laboratory of Heavy-haul Railway Engineering Structure (Ministry of Education), Central South University, Changsha, 410075, China

    Lian-heng Zhao  (赵炼恒)

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  1. Zhi-hong Nie  (聂志红)
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  2. Xiang Wang  (王翔)
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  3. Dong-liang Huang  (黄栋梁)
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Correspondence to Lian-heng Zhao  (赵炼恒).

Additional information

Foundation item: Projects(51478477, 51878668) supported by the National Natural Science Foundation of China; Projects(2014122006, 2017-123-033) supported by the Guizhou Provincial Department of Transportation Foundation, China; Project(201722ts200) supported by the Fundamental Research Funds for the Central Universities, China

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Nie, Zh., Wang, X., Huang, Dl. et al. Fourier-shape-based reconstruction of rock joint profile with realistic unevenness and waviness features. J. Cent. South Univ. 26, 3103–3113 (2019). https://doi.org/10.1007/s11771-019-4239-8

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  • DOI: https://doi.org/10.1007/s11771-019-4239-8

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