摘要
岩石的破坏是一自相似的过程,破坏过程中微破裂事件的空间分布以及破坏后断裂带中不均匀体的分布(或结构)常常是分形的,本文综述了最近几年来在有关地震中的分形结构研究方面的进展,讨论了地震中广泛存在的分形结构的物理本质,发现孕震系统的降维过程与减熵过程是一致的,并推导出孕震过程中微震事件的分布分数维(D)与系统熵(S)之间的函数关系;我们还比较了各种不同的求取分形体的分数维的方法以及它们对结果的影响,并提出了计算有限角度分形体的分数维算法。
The fracture of rock is always a self-similary process,so that the spatial distribution of micro seismic events and the morphology of the fault surface is a fractal. In this paper, the recent developments on this subject have been summarized,the physical background of the extensively existed fractal structures in seismology was discussed. We also discovered that the dimension reduction process in earthquake preparatory process is accompanied by the entropy decrease. The functional relationship between the dimension D and the entropys has been obtained. Finally, we have compared various methods of calculation of the fractal dimension of fractals in earthquake,and discussed the origin of the nonuniformity of the result obtained by different researchers. A new method we propose to calculate the fractal dimension of fractal like figure 1 has been given.
出处
《中国地震》
CSCD
北大核心
1989年第2期19-26,共8页
Earthquake Research in China
