二维K-S检验法在岩体统计均质区划分中的应用
Application of 2D K-S tests to evaluating statistical homogeneity of rock mass
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摘要: 在常规的岩体统计均质区划分方法中,产状数据相似性判定结果通常会受到投影图子区划分方案的影响,并且不适用于小样本数据。为解决上述问题,引入二维K-S检验法进行产状数据相似性判定。首先介绍了K-S检验法的基本原理,继而根据二维K-S检验法提出了产状数据相似性判定的具体算法,并利用算例验证了算法对小样本产状数据的适用性。最后,针对北山坑探设施斜坡道进行了应用和验证。提出的算法不需要进行投影图子区划分,适用于小样本数据,为岩体统计均质区划分提供了一种新手段。Abstract: The conventional methods for evaluating the statistical homogeneity of jointed rock usually give different conclusions about the similarity of the same occurrence data under different schemes for sub-partitions of the projection. Besides, these methods are generally unsuitable for small samples. In order to solve the above problems, the 2D K-S test is proposed to determine the similarity of occurrence data. The basic principle of K-S test is firstly introduced and the detailed algorithm for applying the 2D K-S tests to determining the similarity of occurrence data is then presented. Finally, the proposed algorithm is tested and verified by case studies and is successfully applied to evaluating the statistical homogeneity of the ramp of the Beishan exploration tunnel. The proposed algorithm does not need sub-partition and has been proven to be suitable for small samples. This study may provide a new approach to the evaluation of the statistical homogeneity of jointed rock mass.