Inhomogeneity effects on earthquake fault events

IF 2.4 3区 物理与天体物理 Q1 Mathematics
S. Tahir, M. Loulidi, A. Rachadi
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引用次数: 0

Abstract

We present a detailed analysis of the dynamical behavior of an inhomogeneous Burridge-Knopoff model, a simplified mechanical model of an earthquake. Regardless of the size of seismic faults, a soil element rarely has a continuous appearance. Instead, their surfaces have complex structures. Thus, the model we suggest keeps the full Newtonian dynamics with inertial effects of the original model, while incorporating the inhomogeneities of seismic fault surfaces in stick-slip friction force that depends on the local structure of the contact surfaces as shown in recent experiments. The numerical results of the proposed model show that the cluster size and the moment distributions of earthquake events are in agreement with the Gutenberg-Richter law without introducing any relaxation mechanism. The exponent of the power-law size distribution we obtain falls within a realistic range of value without fine tuning any parameter. On the other hand, we show that the size distribution of both localized and delocalized events obeys a power law in contrast to the homogeneous case. Thus, no crossover behavior between small and large events occurs.

Abstract Image

非均质性对地震断层事件的影响
我们详细分析了非均质 Burridge-Knopoff 模型的动力学行为,这是一种简化的地震力学模型。无论地震断层的大小如何,土壤元素很少具有连续的外观。相反,它们的表面具有复杂的结构。因此,我们提出的模型保留了原始模型中带有惯性效应的完全牛顿动力学,同时将地震断层表面的不均匀性纳入粘滑摩擦力中,正如最近的实验所显示的那样,粘滑摩擦力取决于接触面的局部结构。所提模型的数值结果表明,在不引入任何松弛机制的情况下,地震事件的震群大小和力矩分布与古腾堡-里克特定律一致。我们得到的幂律大小分布的指数在实际值范围内,无需微调任何参数。另一方面,我们发现局部事件和非局部事件的尺寸分布都服从幂律,这与同质情况截然不同。因此,小事件和大事件之间不会出现交叉行为。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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