Symmetry Properties of Spatial Distribution of Microfracturing in Rock
Symmetry Properties of Spatial Distribution of Microfracturing in Rock
复制标题
岩石微破裂空间分布的对称性
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
E. Yodogawa
中科院分区：
文献类型：
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作者：
K. Nanjo;H. Nagahama;E. Yodogawa
我们定量测量对称性和熵的空间分布的对称性的微破裂产生的声发射在蠕变过程中，最终整个断裂的岩石标本。在测量中，利用二维离散沃尔什函数的对称性，并将二维离散沃尔什变换应用于空间分布。我们发现，声发射的空间分布具有丰富的双重对称性。随着微破裂过程的演化，双对称性的丰富度增加，熵减小。这种熵的减少来自于双重对称性丰富度的增加。因此，我们认为微破裂过程的演化是在双重对称性丰富度增加的约束下进行的。
We measure quantitatively symmetry and entropy regarding symmetry of spatial distributions of acoustic emissions generated by microfracturings during creep before ultimate whole fracture of a rock specimen. In the measurement, symmetry properties of the two-dimensional discrete Walsh functions are utilized, and the two- dimensional discrete Walsh transform is applied to the spatial distributions. We find that the spatial distributions of acoustic emissions are rich in double symmetry. Moreover, it is found that the richness in double symmetry increases and the entropy decreases with the evolution of microfracturing process. This decrease of the entropy comes from the increase of the richness in double symmetry. Thus we conclude that the microfracturing process evolves under constraint of the increase of the richness in double symmetry.