Garcia Xavier, Akanji Lateef T, Blunt Martin J, Matthai Stephan K, Latham John Paul
Department of Earth Science and Engineering, Imperial College London, SW72AZ London, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 1):021304. doi: 10.1103/PhysRevE.80.021304. Epub 2009 Aug 26.
We study through numerical simulations the dependence of the hydraulic permeability of granular materials on the particle shape and the grain size distribution. Several models of sand are constructed by simulating the settling under gravity of the grains; the friction coefficient is varied to construct packs of different porosity. The size distribution and shapes of the grains mimic real sands. Fluid flow is simulated in the resulting packs using a finite element method and the permeability of the packs is successfully compared with available experimental data. Packs of nonspherical particles are less permeable than sphere packs of the same porosity. Our results indicate that the details of grain shape and size distribution have only a small effect on the permeabilty of the systems studied.
我们通过数值模拟研究了粒状材料的水力渗透率对颗粒形状和粒度分布的依赖性。通过模拟颗粒在重力作用下的沉降，构建了几种沙子模型；改变摩擦系数以构建不同孔隙率的颗粒集合体。颗粒的尺寸分布和形状模拟了真实的沙子。使用有限元方法在所得的颗粒集合体中模拟流体流动，并将颗粒集合体的渗透率与现有的实验数据成功进行了比较。相同孔隙率的非球形颗粒集合体的渗透率低于球形颗粒集合体。我们的结果表明，颗粒形状和尺寸分布的细节对所研究系统的渗透率只有很小的影响。
