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Effect of disorder on bulk sound wave speed: a multiscale spectral analysis

机译:混乱对散装声波速度的影响:多尺度光谱分析

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Disorder of size (polydispersity) and mass of discrete elements or particles in randomly structured media (e.g., granular matter such as soil) has numerous effects on the materials' sound propagation characteristics. The influence of disorder on energy and momentum transport, the sound wave speed and its low-pass frequency-filtering characteristics is the subject of this study. The goal is understanding the connection between the particle-microscale disorder and dynamics and the system-macroscale wave propagation, which can be applied to nondestructive testing, seismic exploration of buried objects (oil, mineral, etc.)or to study the internal structure of the Earth. To isolate the longitudinal P-wave mode from shear and rotational modes, a one-dimensional system of equally sized elements or particles is used to study the effect of mass disorder alone via (direct and/or ensemble averaged) real time signals, signals in Fourier space, energy and dispersion curves. Increase in mass disorder (where disorder has been defined such that it is independent of the shape of the probability distribution of masses) decreases the sound wave speed along a granular chain. Energies associated with the eigenmodes can be used to obtain better quality dispersion relations for disordered chains; these dispersion relations confirm the decrease in pass frequency and wave speed with increasing disorder acting opposite to the wave acceleration close to the source.
机译:大小(多分散性)和随机结构介质中的离散元素或颗粒的含序(例如,粒状物质如土)对材料的声音传播特性有很多影响。无序对能量和动量运输的影响,声波速度及其低通频率滤波特征是本研究的主题。目标是理解粒子微观障碍和动力学之间的联系以及系统 - 宏观波传播,可以应用于非破坏性测试,埋藏物体(油,矿物等)的地震勘探或研究内部结构地球。为了将纵向p波模式与剪切和旋转模式隔离,同样大小的元件或粒子的一维系统用于通过(直接和/或集合平均)实时信号,信号在傅里叶空间,能量和色散曲线。大规模疾病的增加(其中已经定义了紊乱,使得它与质量概率分布的形状无关)降低沿粒状链的声波速度。与特征范围相关的能量可用于获得有序链的更好的质量分散关系;这些分散关系确认通过与靠近源的波动加速度相反的紊乱的增加的紊乱和波速的降低。

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