论文标题
多孔培养基中不混溶和不可压缩的两相流的局部统计
Local Statistics of Immiscible and Incompressible Two-Phase Flow in Porous Media
论文作者
论文摘要
我们考虑使用动态孔网模型在稳态条件下在多孔介质中的多孔介质中的不混溶和不可压缩的两相流。我们专注于代表性基础区域(REA)的波动,目的是证明体积流量的统计分布和REA内的饱和度在模型足够大时就独立于整个模型的大小。这种独立性是为流动开发局部统计理论的必要条件,这反过来又有可能在尺度上制定描述足以使用微分方程可忽略的尺寸。
We consider immiscible and incompressible two-phase flow in porous media under steady-state conditions using a dynamic pore network model. We focus on the fluctuations in a Representative Elementary Area (REA), with the aim to demonstrate that the statistical distributions of the volumetric flow rate and the saturation within the REA become independent of the size of the entire model when the model is large enough. This independence is a necessary condition for developing a local statistical theory for the flow, which in turn opens for the possibility to formulate a description at scales large enough for the typical pore size to be negligible using differential equations.