A model for two‐phase flow in porous media including fluid‐fluid interfacial area
A model for two‐phase flow in porous media including fluid‐fluid interfacial area
复制标题
DOI：
10.1029/2007wr006721
复制
发表时间：
2008-08
影响因子：
5.4
通讯作者：
J. Niessner;S. Hassanizadeh
中科院分区：
文献类型：
--
作者：
J. Niessner;S. Hassanizadeh
本文提出了一种新的多孔介质中宏观两相流的数值模型，该模型基于物理相容的多相流理论。模拟多孔介质中两相流体流动的标准方法包括每个相的连续性方程、达西定律的扩展形式以及相对渗透率和毛细管压力的本构关系。已知这种方法具有许多重要的缺点，特别是，它没有考虑流体-流体界面的存在和作用。另一种方法是使用一个扩展的模型，它是建立在热力学原理和物理上一致的。除了标准方程外，该模型还使用了比界面面积的平衡方程。毛管压力的本构关系不仅包括饱和度，还包括比界面面积。我们提出了基于这个扩展模型的数值模拟研究的结果。我们表明，扩展模型可以捕获额外的物理过程相比，标准模型，如滞后。
We present a new numerical model for macroscale two‐phase flow in porous media which is based on a physically consistent theory of multi‐phase flow. The standard approach for modeling the flow of two fluid phases in a porous medium consists of a continuity equation for each phase, an extended form of Darcy's law as well as constitutive relationships for relative permeability and capillary pressure. This approach is known to have a number of important shortcomings and, in particular, it does not account for the presence and role of fluid‐fluid interfaces. The alternative is to use an extended model, which is founded on thermodynamic principles and is physically consistent. In addition to the standard equations, the model uses a balance equation for specific interfacial area. The constitutive relationship for capillary pressure involves not only saturation, but also specific interfacial area. We present results of a numerical modeling study based on this extended model. We show that the extended model can capture additional physical processes compared to the standard model, such as hysteresis.