Closure conditions for two-fluid flow in porous media
Closure conditions for two-fluid flow in porous media
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DOI：
10.1023/a:1015035214629
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发表时间：
2002-04-01
影响因子：
2.7
通讯作者：
Soll, WE
中科院分区：
文献类型：
--
作者：
Gray, WG;Tompson, AFB;Soll, WE
多孔介质中多相流的建模要求很好地描述存在的相的物理性质。此外，必须考虑这些相位之间的接口的行为以及接口聚集在一起的公共线路的行为。使这种描述复杂化的一个因素是这样一个事实，即几何变量，如体积分数、每体积的界面面积和每体积的公共线长度进入在宏观尺度或核心尺度上制定的守恒方程。这些几何密度，虽然重要的物理量，是负责赤字的数量所需的动力学方程模型的系统。因此，为了获得多相流方程的封闭性，必须用考虑这些几何变量之间的相互作用的附加演化方程来补充守恒方程。在这里，热力学第二定律，约束系统的能量必须在平衡时处于最小值，用于激励和生成这些几何变量和相互作用的线性演化方程。本构形式，沿着质量、动量和能量守恒方程的分析，为地下多相流建模提供了必要的完整方程组。
Modeling of multiphase flow in porous media requires that the physics of the phases present be well described. Additionally, the behavior of interfaces between those phases and of the common lines where the interfaces come together must be accounted for. One factor complicating this description is the fact that geometric variables such as the volume fractions, interfacial areas per volume, and common line length per volume enter the conservation equations formulated at the macroscale or core scale. These geometric densities, although important physical quantities, are responsible for a deficit in the number of dynamic equations needed to model the system. Thus, to obtain closure of the multiphase flow equations, one must supplement the conservation equations with additional evolutionary equations that account for the interactions among these geometric variables. Here, the second law of thermodynamics, the constraint that the energy of the system must be at a minimum at equilibrium, is used to motivate and generate linearized evolutionary equations for these geometric variables and interactions. The constitutive forms, along with the analysis of the mass, momentum, and energy conservation equations, provide a necessary complete set of equations for multiphase flow modeling in the subsurface.