2. Physikalisches Institut, Universität Stuttgart, 70569 Stuttgart, Germany.
Phys Rev Lett. 2012 Dec 28;109(26):264504. doi: 10.1103/PhysRevLett.109.264504.
We study the permeability of quasi-two-dimensional porous structures of randomly placed overlapping monodisperse circular and elliptical grains. Measurements in microfluidic devices and lattice Boltzmann simulations demonstrate that the permeability is determined by the Euler characteristic of the conducting phase. We obtain an expression for the permeability that is independent of the percolation threshold and shows agreement with experimental and simulated data over a wide range of porosities. Our approach suggests that the permeability explicitly depends on the overlapping probability of grains rather than their shape.
我们研究了随机放置重叠单分散圆形和椭圆形颗粒的准二维多孔结构的渗透率。微流控装置和格子玻尔兹曼模拟的测量表明，渗透率由导相的欧拉特征决定。我们得到了一个渗透率表达式，它不依赖于渗流阈值，并在广泛的孔隙率范围内与实验和模拟数据一致。我们的方法表明，渗透率明确地取决于颗粒的重叠概率，而不是它们的形状。
