Hierarchical geometry of faulting
Hierarchical geometry of faulting
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DOI：
10.1029/95jb02242
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发表时间：
1996-03
影响因子：
--
通讯作者：
G. Ouillon;C. Castaing;D. Sornette
中科院分区：
文献类型：
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作者：
G. Ouillon;C. Castaing;D. Sornette
在沙特阿拉伯的沉积盖层上绘制了不同比例尺(从1厘米到100公里)的几种节理和断层模式。使用一种新的多重分形算法对它们进行了分析，改进后的算法可以校正映射区域的不规则几何形状和有限大小的影响。此外，还提出了一种新的方法--各向异性最优小波系数法。它允许从小比例尺地图到大比例尺地图的转换，并量化了断裂各向异性的多尺度行为。它包括在断层图上的每个点上找到一个揭示局部结构的最佳过滤器。文中还计算了故障长度分布。我们的主要结论是，不同的几何幂定律和各向异性纹理在不同的有限范围内分别存在，由特征尺度分隔。我们可以观察到这些特征尺度与阿拉伯地壳主要岩性或流变学界面深度之间的一一对应关系。因此，破裂和断层作用可以更好地模拟为一个分层过程，在很大程度上受地壳分层的控制。
Several joint and fault patterns were mapped at different scales (from 1 cm to 100 km) on the sedimentary cover of Saudi Arabia. They were analyzed using a new multifractal algorithm improved to correct for irregular geometry of mapped domains and finite size effects. Moreover, a new technique (the Optimal Anisotropic Wavelet Coefficient method) was conceived. It allows transformation to large scales maps from smaller scales ones and quantifies the multiscale behavior of faulting anisotropy. It consists of finding at each point on a fault map an optimum filter that reveals the local structure. Fault length distributions are also computed. Our main conclusion is that different geometrical power laws and anisotropic textures hold separately in distinct limited ranges, separated by characteristic scales. we can observe a one-to-one correspondence between those characteristic scales and the depths of the main lithological or rheological interfaces in the Arabian crust. Fracturing and faulting can thus be better modeled as a hierarchical process, controlled in large part by the layering of the crust.