基于卡方检验法对长白山龙门峰裂隙岩体统计均质区划分

Application of Chi-Square Method in Statistical Homogeneity Zoning of Fractured Rock Mass in Longmen Peak,Changbai Mountain

岩体统计均质区是裂隙岩体研究的一个重要内容,是三维裂隙网络等的基础研究范围。在列联表卡方检验基础上建立起考虑裂隙岩体迹长的方法用来划分岩体的统计均质区,即在统计均质区划分过程中考虑裂隙迹长的因素,通过列联表卡方检验建立两对比样本,计算对比样本各属性之间的实际频率,计算卡方值与临界卡方值。在判断样本之间是否具有统计相似性的基础上,建立了确定统计均质区的划分方法,使得裂隙岩体统计均质区划分更为全面与客观。

Structural homogeneity of jointed rock masses is an important problem and also is the research basics of three-dimensional fracture network modeling.A new method considering trace length of joints is suggested to zone statistical homogeneity of fratured rock mass on basis of contingency table.Through generating two compared samples,the frequency of the attributes of sample are calculated,and the Chi-square and the critical Chi-square values are determined.Then a method of structural homogeneity zoning is constructed after judging the statistical similarity among these samples.It is proved that the result of the new structural homogeneity zoning is more reasonable and perfect.