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arXiv 1601.00840cond-mat.softcond-mat.mtrl-sci
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颗粒材料排水的孔隙尺度模拟:有限尺寸效应和代表性单元体积

Pore-scale simulations of drainage in granular materials: finite size effects and the representative elementary volume

Chao Yuan, Bruno Chareyre, Félix Darve

摘要:

本文提出了一个适用于多分散球密相填充中两相流动的孔隙尺度模型。该模型被开发为一个更一般的流体力学耦合框架的一个组成部分,基于离散元法,这将在未来的论文中阐述。在这里,重点是生成一个网络的孔隙映射球形颗粒之间的空隙空间,并定义当地的标准,管理的主要排水过程。利用正三角剖分法对孔隙空间进行了分解,识别出一组由喉道连通的孔隙。基于平衡时毛细管压力和表面张力的平衡,对每个喉道的局部入口毛细管压力进行评估。该模型反映了可能的截留断开补丁的后退润湿相。通过与排水试验的对比验证了该方法的有效性。一系列的模拟报告,以说明尺寸和边界效应,关键问题时,研究小样本的球形颗粒无论是在模拟或实验。对不同大小的样本进行重复测试,得到的含水量演变不仅分散,而且对小样本量有很强的偏倚。需要超过20,000个球体来将饱和度偏差降低到0.02以下。通过对64,000个球体的大样本进行二次采样来生成其他统计数据。他们认为,用于评价饱和度的最小取样体积是以相同精度测量孔隙度所需取样体积的一百倍。这一要求在样本量方面引起了对高效计算机代码的需求。本文所述的方法具有低算法复杂度以满足该要求。它将非常适合于进一步发展的耦合流动变形问题,其中的微观结构的演变需要频繁更新的孔隙网络。

英文摘要:

A pore-scale model is introduced for two-phase flow in dense packings of polydisperse spheres. The model is developed as a component of a more general hydromechanical coupling framework based on the discrete element method, which will be elaborated in future papers. Here the emphasis is on the generation of a network of pores mapping the void space between spherical grains, and the definition of local criteria governing the primary drainage process. The pore space is decomposed by Regular Triangulation, from which a set of pores connected by throats are identified. A local entry capillary pressure is evaluated for each throat, based on the balance of capillary pressure and surface tension at equilibrium. The model reflects the possible entrapment of disconnected patches of the receding wetting phase. It is validated by a comparison with drainage experiments. A series of simulations are reported to illustrate size and boundary effects, key questions when studying small samples made of spherical particles be it in simulations or experiments. Repeated tests on samples of different sizes give evolution of water content which are not only scattered but also strongly biased for small sample sizes. More than 20,000 spheres are needed to reduce the bias on saturation below 0.02. Additional statistics are generated by subsampling a large sample of 64,000 spheres. They suggest that the minimal sampling volume for evaluating saturation is one hundred times greater that the sampling volume needed for measuring porosity with the same accuracy. This requirement in terms of sample size induces a need for efficient computer codes. The method described herein has a low algorithmic complexity in order to satisfy this requirement. It will be well suited to further developments toward coupled flow-deformation problems in which evolution of the microstructure require frequent updates of the pore network.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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