Computational homogenization for mechanical properties of sand cobble stratum based on fractal theory
Computational homogenization for mechanical properties of sand cobble stratum based on fractal theory
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基于分形理论的砂卵石地层力学特性计算均质化
DOI：
10.1016/j.enggeo.2017.11.013
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发表时间：
2018-01
影响因子：
7.4
通讯作者：
Dechun Lu
中科院分区：
文献类型：
--
作者：
Pei Zhang;Liu Jin;Xiuli Du;Dechun Lu
桑迪卵石地层是最常见的工程地质体之一。对地面和地下结构稳定性的进一步研究，需要对实际地层进行精确的建模。本文提出了一种模拟桑迪卵石地层的细观数值方法，该方法将岩块和土基质视为独立的组分。在该方法中，岩块的粒度分布和空间分布是两个关键点。对于第一点，即岩石的粒度分布，将分形标度理论纳入粒度分布的描述和设计中。在双对数坐标图上，对北京地区60组桑迪卵石土的粒径分布进行了分形研究。对于第二点，即岩石的空间分布，采用蒙特-卡罗原理，在二维假定岩石为圆形，三维假定岩石为球形的情况下，生成岩石在土基质中的随机空间分布。通过数值模型与理论计算值的岩石体积含量对比，验证了细观方法基本上可以用于建立桑迪卵石地层的细观模型。然后，目前的桑迪卵石地层模型扩展到研究隧道开挖在这样的地层。基于模拟结果，分别探讨了岩体横截面和纵剖面的变形特征，并讨论了其随分形维数和最大岩石尺寸的变化规律。
Sandy cobble strata is one of the most commonly encountered engineering geological body. A further research into the stability of ground and underground structure demands for precise modeling of actual formation. In this paper, a meso-scale numerical method for modelling sandy cobble strata is presented, which considers rock blocks and soil matrix as separate constituents. In the approach, the particle size distribution and spatial distribution of rock blocks are two crucial points. For the first point, i.e. the particle size distribution of rocks, the fractal scaling theory is included in particle size distribution description and design. In the log-log plots, 60 sets of particle size distributions of sandy cobble soil in Beijing are examined for fractal behavior. For the second point, i.e. the spatial distribution of rocks, the Monte-Carlo principle is used to generate random spatial distribution of rocks in soil matrix, while the rock shape is assumed to be circular in two dimension, or sphere in three dimension. Based on the compassion of rock volume content between the numerical model and theoretical calculation value, it is validated that the meso-scale method could basically be used to establish the meso model of sandy cobble strata. Then, the present sandy cobble strata model is extended to investigate tunnel excavation in such a formation. Based on the simulation results, the deformation characteristics on transverse section and longitudinal profile are explored respectively, and their variations with fractal dimension or the maximum rock size are discussed subsequently.
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