岩体节理粗糙度系数与统计参数的相关关系研究

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摘要测定节理粗糙度系数JRC的方法均基于10条标准剖面，其人为误差大，且未考虑采用不同取样长度离散节理剖面对各统计参数与JRC的影响。为避免对10条标准剖面JRC的测量误差，考虑JRC的取值范围及离散节理剖面时不同取样长度的影响，从数值模拟粗糙节理的角度出发，采用截断正态分布随机抽样得出节理凸起高度，由每段的凸起高度及取样长度形成凸起表面，叠加生成具有一定迹长的粗糙节理，根据Barton直边法测量其JRC，计算相应的统计参数，研究不同取样长度下各统计参数与JRC的回归关系。研究结果表明：JRC与均方根RMS和中线均值CLA呈线性关系，JRC与均方值MSV，均方根一阶导数Z2，粗糙剖面系数Rp和结构函数SF之间呈抛物线关系，且相关系数均较高；取样长度对统计参数、JRC及其回归关系式有较大影响，在数值模拟粗糙节理时应使取样长度与岩体粒径相近。由于MSV，RMS和CLA只能反映节理起伏高度的均值状况，不能反映各凸起高度所占权重对JRC的影响，因此，建议采用Z2，SF对JRC进行估算。

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关键词 ：岩石力学, 节理粗糙度系数, 统计参数, 关系函数, 取样长度, 指数函数, 凸起高度

Abstract：The previous methods for measuring joint roughness coefficient JRC are based on ten standard joint profiles，their errors are large and are disturbed by human factor. Besides，the effects of sample size which is used to scatter the rough joint profile on JRC and statistical parameters are not considered. In order to avoid the measurement error of JRC of ten standard joint profiles，size，the study is conducted from the perspective of numerical simulation of rough joint by considering the range of JRC and the effect of sample. Joint projection height is assumed to accord with the truncated normal distribution；the projection profile of joint is generated with the projection height and sample size of each segment；and rough joint with a certain trace is generated finally. According to Barton′s straight edge method，JRC is measured. Each statistical parameter is calculated；and the relationships between JRC and statistical parameters are fitted with different sample sizes. The results show that：the regression functions between JRC and RMS，CLA are linear，the regression functions between JRC and MSV，Z2，Rp，SF are exponential and the related coefficients are very large. The effect of sample size on results is significant；and it is advised that sample size should be close to the particle size of rock mass. Because that MSV，RMS and CLA can only reflect the average value of projection height of rough joint，while they cannot reflect the effect of weights of various projection heights on JRC. Therefore，it is suggested that Z2 and SF should be adopted to evaluate the value of JRC.

Key words： rock mechanics joint roughness coefficient statistical parameters relation function sample size exponential function projection height

收稿日期: 2010-05-28

引用本文:

吴月秀1，刘泉声1，2，刘小燕1. 岩体节理粗糙度系数与统计参数的相关关系研究[J]. 岩石力学与工程学报, 2011, 30(S1): 2593-2598.
WU Yuexiu1，LIU Quansheng1，2，LIU Xiaoyan1. STUDY OF RELATIONSHIP BETWEEN JOINT ROUGHNESS COEFFICIENT AND STATISTICAL PARAMETERS. , 2011, 30(S1): 2593-2598.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS1/2593

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