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Macroscopic Friction Response of Rotational and Non-Rotational Lattice Solid Gouge Models in 2D and 3D

机译:旋转和非旋转格子实心模型在2D和3D中的宏观摩擦响应

摘要

Traditionally, 2D Discrete Element Models (DEMs) have been preferred over 3D models, for fault gouge simulations, because of the computational cost of solving 3D problems. In order to realistically simulate fault gouge processes it is important to characterise differences between 2D and 3D models and be able to assess whether 2D models are adequate for approximating 3D gouge dynamics. In this paper, 2D and 3D fault gouges are simulated as two rectangular elastic blocks of bonded particles, separated by a region of randomly sized non-bonded spherical gouge particles, sheared in opposite directions by normally-loaded driving plates. The dynamic behavior of multiple model parameterisations is analysed by examining instantaneous macroscopic fault friction (muI) statistics. The response of the mean macroscopic friction is characterised for varying values of inter-particle (microscopic) friction muP in 2D and 3D and for non-rotational and rotational particle dynamics. In the nonrotational models, realistic angular gouge mean macroscopic friction values (E[muI] = 0.6) are obtained in the simulations for a 2D inter-particle friction value of muP = 0.3 and 3D value of muP = 0.2. The rotational models exhibit mean macroscopic friction values of E[muI] = 0.3 (in 2D) and E[muI] = 0.38 (in 3D) for inter-particle friction values muP = 0.3. The 2D rotational macroscopic friction values are in close agreement with comparable 2D glass-rod (E[muI] = 0.3) laboratory experiments. In the 3D case, the simulated mean macroscopic friction values are lower than those of 3D spherical bead laboratory experiments where 0.4
机译:传统上,由于要解决3D问题的计算成本,对于断层泥模拟,2D离散元素模型(DEM)优于3D模型。为了现实地模拟断层泥过程,重要的是表征2D模型和3D模型之间的差异,并能够评估2D模型是否足以逼近3D泥层动力学。在本文中,将2D和3D断层泥模拟为粘结颗粒的两个矩形弹性块,由一个随机大小的非粘结球形泥颗粒区域分开,并通过正向加载的驱动板沿相反方向剪切。通过检查瞬时宏观断层摩擦(muI)统计数据来分析多个模型参数化的动态行为。平均宏观摩擦的响应的特征在于2D和3D中粒子间(微观)摩擦muP的变化值以及非旋转和旋转粒子动力学。在非旋转模型中,在模拟中,对于muP = 0.3的2D粒子间摩擦值和muP = 0.2的3D值,获得了实际的角凿平均宏观摩擦值(Eμ= 0.6)。对于颗粒间摩擦值muP = 0.3,旋转模型表现出平均宏观摩擦值Eμ= 0.3(2D)和Eμ= 0.38(3D)。 2D旋转宏观摩擦值与可比较的2D玻璃棒(Eμ= 0.3)实验室实验非常一致。在3D情况下,模拟的平均宏观摩擦值低于3D球形珠实验室实验的平均宏观摩擦值,其中0.4

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