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首页> 外文期刊>Pure and Applied Geophysics >Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico
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Spatial Distribution, Scaling and Self-similar Behavior of Fracture Arrays in the Los Planes Fault, Baja California Sur, Mexico

机译：墨西哥下加利福尼亚州洛斯平面断层中裂缝阵列的空间分布，尺度和自相似行为

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摘要

We present a case of detailed analysis of fracture arrays spanning four orders of magnitude in length; all of them measured at a single natural site by acquiring images at progressively larger scales. There is a high dispersion of cumulative-length exponents, box dimensions and fracture densities. However, the fractal analysis supports the fractal nature of fracture arrays. Our data indicate the existence of an upper limit for the density parameters, as similarly reported by other authors. We prove that box dimension is in inverse relation with fracture concentration and in direct relation with fracture density. These relations are also observed in our data and additionally there is an upper limit for the box dimensions. We interpret the dispersion in our results as more fundamental than methodological problems. It represents a truncation in the complete evolution of the fracture systems because in natural cases strain initiates overprinting of previous fracture arrays. Considering that larger fractures accommodate strain more efficiently than small fractures, the generation of small fractures is inhibited in the presence of pre-existing larger fractures. Maximum values of fracture density prevent accommodating an excess of strain in a single or restricted range of scales; we claim this condition produces migration of fracturing to larger scales originating fracture scaling.
机译：我们提出了一个详细分析裂缝阵列的案例，该裂缝阵列的长度跨越四个数量级。所有这些都通过以更大的比例获取图像在单个自然位置进行测量。累积长度指数，盒子尺寸和断裂密度高度分散。但是，分形分析支持裂缝阵列的分形性质。我们的数据表明存在密度参数上限，其他作者对此也有类似报道。我们证明了箱体尺寸与裂缝浓度成反比，与裂缝密度成正比。在我们的数据中也观察到了这些关系，此外，盒子的尺寸还有上限。我们将结果的分散性解释为比方法论问题更为根本。它代表了断裂系统的完整演化过程中的一个截断，因为在自然情况下，应变会导致先前断裂阵列的叠印。考虑到较大的裂缝比较小的裂缝更有效地适应应变，因此在预先存在较大的裂缝的情况下抑制了较小裂缝的产生。裂缝密度的最大值防止在单个或有限的比例范围内容纳过多的应变；我们认为这种情况会导致压裂向较大规模的裂缝迁移，从而导致裂缝扩大。

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