TCAT Analysis of Capillary Pressure in Non-equilibrium, Two-fluid-phase, Porous Medium Systems.

TCAT Analysis of Capillary Pressure in Non-equilibrium, Two-fluid-phase, Porous Medium Systems.
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DOI:
10.1016/j.advwatres.2011.04.001
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发表时间:
2011-06
影响因子:
4.7
通讯作者:
Miller, Cass T.
Miller, Cass T.
中科院分区:
环境科学与生态学2区
文献类型:
--
作者:
Gray, William G.;Miller, Cass T.

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多孔介质中两种不混溶流体流动的标准模型利用毛细管压力对流体相饱和度的依赖性的表达式。支持数学表达式的数据通常通过一系列平衡实验获得。除了这些表达式是滞后的,最近的实验和理论研究表明,平衡功能的形式可能是不够的建模动态系统。这种情况已经导致努力表示系统相对于饱和度变化率的平衡毛细管压力的松弛。在这里,基于从热力学约束平均理论(TCAT)获得的见解,我们提出动态过程与相之间的界面面积以及饱和度的变化有关。一个更完整的制定毛细管压力动力学导致一个方程,是适合实验研究。
Standard models of flow of two immiscible fluids in a porous medium make use of an expression for the dependence of capillary pressure on the saturation of a fluid phase. Data to support the mathematical expression is most often obtained through a sequence of equilibrium experiments. In addition to such expressions being hysteretic, recent experimental and theoretical studies have suggested that the equilibrium functional forms obtained may be inadequate for modeling dynamic systems. This situation has led to efforts to express relaxation of a system to an equilibrium capillary pressure in relation to the rate of change of saturation. Here, based on insights gained from the thermodynamically constrained averaging theory (TCAT) we propose that dynamic processes are related to changes in interfacial area between phases as well as saturation. A more complete formulation of capillary pressure dynamics is presented leading to an equation that is suitable for experimental study.
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