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引入秩和检验非参数统计方法,建立不连续面岩体统计均质区评价模型。文中考虑了不连续面产状、迹长两个参数,在随机数学的基础上提出了一种不连续面岩体统计均质区划分的新方法,即利用秩和检验计算研究区样本之间的相关性,从而合理划分不连续面岩体统计均质区。选取云南省马吉水电站左岸坝肩某两高程4个平硐作为研究对象,首先将产状数据用其法向极点与单位圆上半球被划分为100个等面积四边形小方格的交点来表示;其次,根据迹长从小到大对落入小方格的极点进行编秩;最后,基于秩和检验来分析不连续面落入相应小方格的频率。研究结果表明:PD201和PD251以及PD251和PD253不具有统计相似性,而PD241和PD253、PD201和PD241在不同的比较区域下得到不同的均质区评价结果,这说明统计均质区存在尺寸效应。较Miller仅考虑不连续面产状,本文同时考虑了产状和迹长两个因子,结果更加合理。此外,该方法可以应用到小样本不连续面统计均质区划分中。
The non-parametric statistical method of rank sum test is introduced to establish the evaluation model of statistical homogeneity zone of discontinuity rock mass. In this paper, two parameters of the shape of discontinuity and trace length are considered. Based on the stochastic mathematics, a new method to divide the statistical homogeneity zone of discontinuities is proposed, that is, So as to reasonably divide the statistical homogenization area of discontinuities and rock masses. Four aditons at one elevation on the left bank of Magee Hydropower Station in Yunnan Province were selected as research objects. First, the output data were expressed by the intersection of the normal pole and the upper hemisphere of the unit circle into 100 equilateral quadrilaterals Secondly, according to the trace length from small to large into the small grid into the rank; finally, based on rank sum test to analyze the discontinuity into the corresponding small box frequency. The results showed that there was no statistical similarity between PD201 and PD251, PD251 and PD253, while PD241, PD253, PD201 and PD241 showed different homogeneous evaluation results under different comparison regions, which indicated that there was size effect in the statistical homogeneous region. Compared with Miller, only the shape of discontinuity is considered. In this paper, both the appearance and trace length are taken into consideration, and the result is more reasonable. In addition, this method can be applied to the small sample discontinuity statistical homogeneity zone division.