不同采样间隔下结构面形貌特征和各向异性特征的统计参数稳定性研究

doi:10.16285/j.rsm.2017.04.025

›› 2017, Vol. 38 ›› Issue (4): 1121-1132.doi: 10.16285/j.rsm.2017.04.025

不同采样间隔下结构面形貌特征和各向异性特征的统计参数稳定性研究

宋磊博¹，江权²，李元辉¹，杨成祥¹，钟山²，张妹珠²

1. 东北大学深部金属矿山安全开采教育部重点实验室，辽宁沈阳 110819； 2. 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

收稿日期:2016-04-25 出版日期:2017-04-11 发布日期:2018-06-05
通讯作者: 江权，男，1978年生，博士，研究员，主要从事地下工程数值模拟、大型硐室群稳定性分析、工程地质灾害治理等方面的研究工作。 E-mail: qjiang@whrsm.ac.cn E-mail:song_leibo@163.com
作者简介:宋磊博，男，1989年生，博士研究生，主要从事岩石节理表面特征分析和岩石节理剪切力学特性的研究工作。
基金资助:
十三五国家重点研发计划(No. 2016YFC0600707，No. 2016YFC0801605)；国家自然科学基金(No. 51379202, No. 41372315)

Stability of statistical parameters of discontinuities morphology and anisotropy based on different sampling intervals

SONG Lei-bo¹, JIANG Quan², LI Yuan-hui¹, YANG Chen-xiang¹, ZHONG Shan², ZHANG Mei-zhu²

1. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, Liaoning 110819, China; 2.State Key Laboratory of Geomechanics and Geotechnical Engineering, Insitute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China

Received:2016-04-25 Online:2017-04-11 Published:2018-06-05
Supported by:
This work was supported by the State Key Research Development Programs of China (2016YFC0600707, 2016YFC0801605) and the National Natural Science Foundations of China (No. 51379202, No. 41372315).

摘要/Abstract

摘要： 岩石结构面形貌特征直接影响其宏细观剪切破坏特征和剪切强度，因此，清楚地认识在不同点云数据采样间隔下结构面形貌特征和各向异性特征的统计参数稳定性，对于定量认识结构面剪切破坏机制并建立合理的抗剪强度准则十分重要。为此，借助三维白光面扫描系统对3组不同粗糙度的岩石结构面进行测量，并根据稀疏点云数据密度的原理得到其15种采样间隔的点云数据；在此基础之上，研究了2D统计参数坡度均方根Z2、粗糙度指数Rp和以及其所对应的3D坡度均方根Z2s、3D粗糙度指数Rs和3D统计参数随采样间隔的变化规律。研究发现，上述统计参数随着采样间隔的增大而减小，且衰减幅度逐渐增大，并与采样间隔存在二次多项式的拟合关系；同时，研究还发现，不同采样间隔下结构面的各向异性特征也具有间隔效应。为定量描述这种结构面各向异性特征的采样间隔效应，利用所构造的无量纲参数结构面各向异性系数DAC和各向异性特征参数对其度量，结果表明，结构面的各向异性与间隔效应呈现正相关的关系。最后，综合岩石自然结构面分析形貌特征参数和各向异性特征参数的稳定性，在采样间隔取为0.1～0.5 mm之间表现较好的稳定性，其参数值偏差不大于3%，因此，建议一般情况下岩石自然结构面三维扫描的采样间隔可取为0.5 mm。

关键词: 岩石结构面, 点云数据, 统计参数, 间隔效应, 各向异性

Abstract: The rock discontinuity morphology directly influences the macroscopic and microscopic characteristics of shear failure and shear strength. It is important to clearly recognize the stability of statistical parameters of morphology and anisotropy of nature rock discontinuities based on different interval point-cloud data. Thus, quantitative analysis is required to investigate the shear failure mechanism and to establish reasonable shear strength criterion. Three groups of natural rock discontinuity with different roughness characteristics were measured by using three-dimensional (3D) white light scanning system. The point cloud data of 15 different sampling intervals were further obtained according to the principle of sparse point cloud data density. Moreover, we studied the variation law of 2D statistical parameters (Z2、Rp、 ) and the corresponding 3D parameters (Z2s、Rs、 ) with the change of sampling intervals. The results show that these statistical parameters are decreased with the increase of the sampling interval, the attenuation amplitude increases gradually, and the quadratic polynomial function can be well characterized its relationship. Meanwhile, it is also found that the anisotropy of discontinuities at different sampling intervals also has interval effect. The constructed dimensionless parameter DAC (Discontinuity Anisotropic Coefficient) and the anisotropic characteristic parameters are used to quantitatively describe this phenomenon. The results indicate that the anisotropy of discontinuities has positive relationship with interval effect. Finally, comprehensive analysis is conducted on evaluating the stability of surface morphology parameters and anisotropic parameters of natural rock discontinues. These parameters are stable in the range of sampling intervals between 0.1mm and 0.5mm and their deviation is less than 3%. Therefore, the sampling interval is recommended to set to 0.5 mm when using 3D scanning to measure rock discontinuity.

Key words: rock discontinuities, point-cloud data, statistical parameter, interval effect, anisotropy

中图分类号:

TU 45

宋磊博，江权，李元辉，杨成祥，钟山，张妹珠,. 不同采样间隔下结构面形貌特征和各向异性特征的统计参数稳定性研究[J]. , 2017, 38(4): 1121-1132.

SONG Lei-bo, JIANG Quan, LI Yuan-hui, YANG Chen-xiang, ZHONG Shan, ZHANG Mei-zhu,. Stability of statistical parameters of discontinuities morphology and anisotropy based on different sampling intervals[J]. , 2017, 38(4): 1121-1132.

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不同采样间隔下结构面形貌特征和各向异性特征的统计参数稳定性研究

Stability of statistical parameters of discontinuities morphology and anisotropy based on different sampling intervals

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