多孔沉积岩离散元模型中的破裂级联
Rupture cascades in a discrete element model of a porous sedimentary rock
摘要：
本文研究了沉积岩单轴压缩全动态数值模型中裂纹噪声源的标度特性。该模型是通过填充一个圆柱形容器与随机大小的球形颗粒，然后连接的易碎梁。在恒定应变率下加载，内聚元件失效，并且由此产生的应力转移产生相关失效的突然爆发，直接类似于真实实验中的声发射源。源的大小，能量和持续时间都可以量化为一个单独的事件，和人口分析其缩放特性，包括连续事件之间的等待时间的分布。尽管非平稳加载，结果都具有幂律分布在很宽的尺度范围内与实验一致。随着故障的临近，事件的时间相关性伴随着空间聚类出现。
英文摘要：
We investigate the scaling properties of the sources of crackling noise in a fully-dynamic numerical model of sedimentary rocks subject to uniaxial compression. The model is initiated by filling a cylindrical container with randomly-sized spherical particles which are then connected by breakable beams. Loading at a constant strain rate the cohesive elements fail and the resulting stress transfer produces sudden bursts of correlated failures, directly analogous to the sources of acoustic emissions in real experiments. The source size, energy, and duration can all be quantified for an individual event, and the population analyzed for their scaling properties, including the distribution of waiting times between consecutive events. Despite the non-stationary loading, the results are all characterized by power law distributions over a broad range of scales in agreement with experiments. As failure is approached temporal correlation of events emerge accompanied by spatial clustering.
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