四川地区断层空间分布的多重分形特征

断层系统多重分形避免了容量维Ｄ０的不足，考虑了每一条断层对整体分维的贡献，反映了断层的空间分布特征。根据四川地区断层分布图，运用多重分形理论检验了断层空间分布的自相似性，分区计算了四川地区各带的多重分维值。结果表明，断层破裂系统为分形结构，具有很好的自相似性，相关系数均达０．９９。不同带分维值的较大差异，反映不同构造区域的断层分布特点。最后，对分维的含义进行了深入探讨，对油气勘探的有利区域进行了分析。

MULTIFRACTAL CHARACTERISTICS OF FAULT SPATIAL DISTRIBUTION IN SICHUAN AREA

The multifractal dimensions of fault systems conside the contribution of each fault to fractal dimension and reflect the characteristics of fault spatial distributions, avoiding the shortcomings of the research about the fractal dimension of capacity (D0). According to the figure of fault diStribution in Sichuan region, self-similarity of fault spatial distribution has been examined by using multifractal theory and multifractal dimensions in different areas of Sichuan region have been calculated. These results show that fault systems are fractal structure and have self-similarity very well and the correlation coefficients are better than 0. 99. Considerable differences of fractal dimensions in different areas reflect properties of fault distributions in different tectonic regions. Lastly, the significance of fractal dimension has been explored throughly and favorable areas have been analysed for prospecting of petroleum and natural gas. These fruits are of momentous guidable significance for further oil-gas prospecting.