论文标题
多孔介质中不混溶的两相流的参数化
Parameterizations of Immiscible Two-Phase Flow in Porous Media
论文作者
论文摘要
表征多孔介质中不混溶的两相流的基本变量是润湿饱和度，这是填充有润湿液的孔体积与总孔体积之间的比率。更一般而言，该变量来自某些基础空间上的特定坐标选择，即可用于表达体积流速的变量域。基本的数学结构允许引入包含相同信息的其他变量，但从理论的角度来看，它们更方便。我们沿着这些基础空间上的这些线极坐标引入，在这个基础空间中，角度起着类似于润湿饱和的作用。我们基于Euler同质性定理来得出这些新变量之间的关系。我们使用差异形式以无坐标方式建立这些关系。最后，我们根据此无坐标表示，讨论和解释了共同移动的速度。
A fundamental variable characterizing immiscible two-phase flow in porous media is the wetting saturation, which is the ratio between the pore volume filled with wetting fluid and the total pore volume. More generally, this variable comes from a specific choice of coordinates on some underlying space, the domain of variables that can be used to express the volumetric flow rate. The underlying mathematical structure allows for the introduction of other variables containing the same information, but which are more convenient from a theoretical point of view. We introduce along these lines polar coordinates on this underlying space, where the angle plays a role similar to the wetting saturation. We derive relations between these new variables based on the Euler homogeneity theorem. We formulate these relations in a coordinate-free fashion using differential forms. Lastly, we discuss and interpret the co-moving velocity in terms of this coordinate-free representation.
