基于功率谱密度的评估岩石节理粗糙度新方法

doi:10.16285/j.rsm.2021.2183

岩土力学 ›› 2022, Vol. 43 ›› Issue (11): 3135-3143.doi: 10.16285/j.rsm.2021.2183

基于功率谱密度的评估岩石节理粗糙度新方法

张传庆^{1, 2}，郭宇航^{1, 2}，徐金顺³，刘宁⁴，谢起明^{1, 2}，崔国建^{1, 2}，周辉^{1, 2}

1. 中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，湖北武汉 430071；2. 中国科学院大学，北京 100049； 3. 雅砻江流域水电开发有限公司，四川成都 610051；4. 中国电建集团华东勘测设计研究院有限公司，浙江杭州 310014

收稿日期:2021-12-01 修回日期:2022-07-13 出版日期:2022-11-11 发布日期:2022-12-02
通讯作者: 郭宇航，男，1992年生，博士研究生，主要从事节理面粗糙度与断层活化机制研究。E-mail：guoyuhang18@mails.ucas.ac.cn E-mail:cqzhang@whrsm.ac.cn
作者简介:张传庆，男，1977年生，博士，研究员，博士生导师，主要从事断层活化致灾机制与灾害防控研究。
基金资助:
国家自然科学基金联合基金项目（No. U1865203）；国家自然科学基金委川藏铁路重大基础科学问题专项项目（No. 41941018）。

A new method for evaluating rock joint roughness based on power spectral density

ZHANG Chuan-qing^{1, 2}, GUO Yu-hang^{1, 2}, XU Jin-shun³, LIU Ning⁴, XIE Qi-ming^{1, 2}, CUI Guo-jian^{1, 2}, ZHOU Hui^{1, 2}

1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Science, Wuhan, Hubei 430071, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China; 3. Yalong River Hydropower Development Company, Ltd., Chengdu, Sichuan 610051, China; 4. PowerChina Huadong Engineering Corporation Limited, Hangzhou, Zhejiang, 310014, China

Received:2021-12-01 Revised:2022-07-13 Online:2022-11-11 Published:2022-12-02
Supported by:
This work was supported by the Yalong River Joint Fund of the National Natural Science Foundation of China (U1865203) and the Natural Science Foundation of China (NSFC)(41941018).

摘要/Abstract

摘要：

为进一步提高结构面粗糙特征描述的精确性和可靠性，更全面地体现出细微形貌的影响，将轮廓线凹凸起伏分解为幅值、倾角和曲率3个特征，分别代表轮廓线的高度变化、角度变化和弯曲程度变化。以Barton建议的10条标准轮廓线为例，计算其幅度、角度和弯曲度的特征曲线，获得了三者的分布规律。利用可表征微细观形貌的功率谱密度函数研究了3种特征曲线的频谱特征，然后从功率谱密度对数曲线中提取了可以描述形貌特征的分形参数D_j（斜率相关）和粗糙度参数A_j（截距相关），在此基础上研究了D_j和A_j与节理粗糙度系数（joint roughness coefficient，简称JRC）的关系。同时，将该指标推广到了三维形貌的表征形式，并计算了大理岩剪切面的三维粗糙度。结果表明：新指标评估精确度高，可反映结构面各向异性特征，能有效表征结构面粗糙特征，对研究结构面剪切力学性质有重要意义。

关键词: 岩体结构面, 粗糙度表征, 功率谱密度, 曲率

Abstract:

To further improve accuracy and reliability of describing the roughness feature of the structural plane, and more comprehensively reflect influences of the morphological differences, the fluctuation of the profile was decomposed into three principal characteristics: amplitude, inclination, and curvature, which represent the change characteristics of height, angle, and bending of the profile. The data of the three characteristics were obtained by 10 standard profiles established by Barton. And the distribution curves of the three characteristics were analyzed. Then, the power spectral density (PSD), which can well describe the microscopic morphology, was used to analyze the spectral characteristics of amplitude, inclination and curvature. The fractal parameters D_j(corresponding to the slope of the PSD curve) and roughness parameters A_j(corresponding to the intercept of the PSD curve) were got from the logarithmic PSD curves. The relationship among D_j, A_j and the joint roughness coefficient (JRC) was studied, and the expressive forms of JRC with the new index were established. Meanwhile, the new index was extended to reveal the characterization of three-dimensional morphology, which was also used to calculate surface roughness of a marble surface obtained by the shear test. The results show that the new index has an extremely slight evaluation error, and can reflect the anisotropic property and effectively character morphology features of the structural plane, which provides a reference for characterizing the roughness of the structural plane and it is of great significance to study shear mechanical properties of the structural plane.

Key words: structural plane, roughness characterization, power spectral density, curvature

中图分类号:

TU 457

张传庆, 郭宇航, 徐金顺, 刘宁, 谢起明, 崔国建, 周辉, . 基于功率谱密度的评估岩石节理粗糙度新方法[J]. 岩土力学, 2022, 43(11): 3135-3143.

ZHANG Chuan-qing, GUO Yu-hang, XU Jin-shun, LIU Ning, XIE Qi-ming, CUI Guo-jian, ZHOU Hui, . A new method for evaluating rock joint roughness based on power spectral density[J]. Rock and Soil Mechanics, 2022, 43(11): 3135-3143.

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基于功率谱密度的评估岩石节理粗糙度新方法

A new method for evaluating rock joint roughness based on power spectral density

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