岩石应力波分形分析方法的研究  

Study on the fractal analysis method of rock stress waves

作　　者：金解放[1] 钟依禄 余雄[1] 徐虹 JIN Jiefang;ZHONG Yilu;YU Xiong;XU Hong(School of Civil and Surveying and Mapping Engineering,Jiangxi University of Science and Technology,Ganzhou 341000,Jiangxi,China)

机构地区：[1]江西理工大学土木与测绘工程学院,江西赣州341000

出　　处：《有色金属科学与工程》2021年第3期85-91,共7页Nonferrous Metals Science and Engineering

基　　金：国家自然科学基金资助项目(51964015,51664017);江西理工大学清江青年英才支持计划(JXUSTQJBJ2017007)。

摘　　要：针对岩石应力波分形分析方法理论探索的实际,基于岩石应力波传播试验数据,研究无轴向静应力下的岩石应力波波形分形分析方法。根据岩石应力波数据的特点,采用盒维数和关联维数对不同测点下的岩石应力波进行研究,探讨应力波分形维数的计算方法和意义。研究表明,可以根据盒计数理念和G-P算法计算出岩石应力波波形的分形维数,其中不同测点下的岩石应力波的盒维数为1.14~1.18;关联维数为1.42~1.48,相空间维数为7~9。应力波的盒维数可以反映岩石应力波波形的复杂程度,关联维数仅能体现应力波在最小尺度的相似。Rock stress wave propagation experiment was done to study the fractal analysis of rock stress waves under no axial static stress,aiming at theoretically exploring rock stress waves.According to the characteristics of rock stress waves,the box dimension and correlation dimension were used to study the rock stress wave under different measuring points,and the calculation and significance of the fractal dimension of stress wave were discussed.The results showed that the fractal dimension of rock stress wave could be calculated according to the box counting concept and G-P algorithm,and the box dimension of rock stress waves at different measurement points was 1.14~1.18,the correlation dimension 1.42~1.48,and the phase space dimension 7~9.The box dimension of the stress wave can reflect the complexity of the stress wave shape,and the correlation dimension can only reflect the similarity of the stress wave at the smallest scale.

关 键 词：岩石应力波 分形特性 盒维数 关联维数 

分 类 号：TD313[矿业工程—矿井建设]