Fluid Permeability in Stratified Unconsolidated Particulate Bed
Fluid Permeability in Stratified Unconsolidated Particulate Bed
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DOI：
10.1007/s11242-012-0098-6
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发表时间：
2013-02-01
影响因子：
2.7
通讯作者：
Harada, Shusaku
中科院分区：
文献类型：
--
作者：
Otomo, Ryoko;Harada, Shusaku
研究了有限厚度多分散颗粒床的流体渗透率。在蠕变流动的假设下，采用斯托克动力学方法计算任意排列的单分散颗粒的渗透率，其中单个颗粒与间隙流体的相互作用用Oseen张量的多极展开来描述。我们将这种计算方法扩展到结构不致密的多分散颗粒系统（颗粒体积分数达到0.2）。粒子在空间中无限分布，用埃瓦尔德求和技术考虑了它们之间的相互作用。对于多分散颗粒的空间分布，我们考虑局部分层的颗粒床，并将分层度定义为一个参数，该参数可以直观和数学地表示不同大小颗粒混合区域的厚度。不同分层程度颗粒床的渗透率曲线表明，局部渗透率与颗粒的空间和尺寸分布有关。计算结果表明，通过对由局部比表面积决定的局部渗透阻力进行积分，可以预测非均匀多分散颗粒床的渗透率。
Fluid permeability of polydisperse particulate bed with finite thickness has been examined. On the assumption of creeping flow, the permeability of monodisperse particles with arbitrary arrangement is calculated by means of Stokesian dynamics approach in which the interaction between individual particles and interstitial fluid is described by multipole expansion of the Oseen tensor. We have extended such calculation method to polydisperse particulate systems which have not so dense structures (up to particle volume fraction 0.2). The particles are located infinitely in space and their interaction has been taken into account by Ewald summation technique. For the spatial distribution of polydisperse particles, we consider locally stratified particulate beds and define stratification degree as a parameter which apparently and mathematically represents the thickness of the mixing region of different-sized particles. The permeability profiles in the particulate beds with different stratification degree show the dependence of local permeability on the spatial and size distribution of particles. Consequently, the calculation results indicate that the permeability of non-uniform polydisperse particulate bed can be predicted by integrating the local permeation resistance which is determined by the local specific surface area.