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Mechanical origin of power law scaling in fault zone rock

机译:断层带岩石中幂律定标的机械成因

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摘要

A nearest neighbor fragmentation model, previously developed to explain observations of power law particle distributions in 3D with mass dimension D 3 ≈ 2.6 (D 2 ≈ 2.6 in 2D section) in low-strain fault gouge and breccia, is extended to the case of large strains to explain recent observations of D 3 ≈ 3.0 (D 2 ≈ 2.0 in 2D section) in the highly strained cores of many exhumed fault zones. At low strains, the elimination of same-sized nearest neighbors has been shown to produce a power law distribution which is characterized by a mass dimension near D 3 ≈ 2.6. With increasing shear strain these isolated same-size neighbors can collide, in which case one of them fractures. The probability of two same size neighbors colliding and fragmenting in a simple shear flow is a function of the size and density of the two particles. Only for a power law distribution with D 3 = 3.0 is this collision probability independent of the size of the particles.
机译:最近建立的最近邻居碎片模型用于解释在低应变断层泥和角砾岩中质量尺寸为D 3≈2.6(二维截面为D 2≈2.6)的3D幂律粒子分布的观察结果,该模型被扩展为大尺寸情况。应变解释了最近在许多掘出的断层带高应变的岩心中观察到的D 3≈3.0(在2D剖面中为D 2≈2.0)。在低应变下,已证明消除相同大小的最近邻居会产生幂律分布,其特征是质量维数接近D 3≈2.6。随着剪切应变的增加,这些孤立的相同尺寸的邻居会发生碰撞,在这种情况下,其中一个会破裂。两个相同大小的邻居在简单剪切流中碰撞和破碎的概率是两个粒子的大小和密度的函数。仅对于D 3 = 3.0的幂律分布,该碰撞概率才与粒子的大小无关。

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