Pham Ngoc H, Voronov Roman S, Tummala Naga Rajesh, Papavassiliou Dimitrios V
School of Chemical, Biological, and Materials Engineering, University of Oklahoma, Norman, Oklahoma 73019-1004, USA.
Department of Chemical Biological and Pharmaceutical Engineering, New Jersey Institute of Technology-University Heights, Newark, New Jersey 07102, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):033016. doi: 10.1103/PhysRevE.89.033016. Epub 2014 Mar 26.
In this paper, bulk stress distributions in the pore space of columns packed with spheres are numerically computed with lattice Boltzmann simulations. Three different ideally packed and one randomly packed configuration of the columns are considered under Darcy flow conditions. The stress distributions change when the packing type changes. In the Darcy regime, the normalized stress distribution for a particular packing type is independent of the pressure difference that drives the flow and presents a common pattern. The three parameter (3P) log-normal distribution is found to describe the stress distributions in the randomly packed beds within statistical accuracy. In addition, the 3P log-normal distribution is still valid when highly porous scaffold geometries rather than sphere beds are examined. It is also shown that the 3P log-normal distribution can describe the bulk stress distribution in consolidated reservoir rocks like Berea sandstone.
在本文中，采用格子玻尔兹曼模拟方法对填充球体的柱体孔隙空间中的体应力分布进行了数值计算。在达西流条件下，考虑了柱体的三种不同理想填充构型和一种随机填充构型。当填充类型改变时，应力分布也会发生变化。在达西流态下，特定填充类型的归一化应力分布与驱动流动的压差无关，并呈现出一种共同模式。研究发现，三参数（3P）对数正态分布能够在统计精度内描述随机填充床中的应力分布。此外，当研究的是高孔隙率支架几何结构而非球体床时，3P对数正态分布仍然有效。研究还表明，3P对数正态分布能够描述像贝雷砂岩这样的固结储层岩石中的体应力分布。
