Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 8. Interface and Common Curve Dynamics.
Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 8. Interface and Common Curve Dynamics.
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DOI：
10.1016/j.advwatres.2010.07.002
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发表时间：
2010-12-01
影响因子：
4.7
通讯作者：
Miller, Cass T.
中科院分区：
文献类型：
--
作者：
Gray, William G.;Miller, Cass T.
本文是发展热力学约束平均理论（TCAT）基本方面的系列文章中的第八篇，该理论允许系统地增加在多孔介质系统中模拟多相输运现象的尺度。在这些系统中，在微观尺度以上的尺度上，不考虑相和共同曲线之间界面的明确位置，即三个或更多界面相遇的地方。相反，这些量的密度是以每体积的面积或每体积的长度来表示的。这些措施的动力学建模对于多孔介质系统中流动和输运现象的稳健模型来说是一个重要的挑战，因为这些区域的范围可能对相之间和相之间的质量、动量和能量输运以及具有最小滞后的毛细管压力关系的公式具有重要意义。这些密度在微观尺度上是不存在的，在微观尺度上，界面和共同曲线对应于特定的位置。因此，需要一个完善的宏观尺度理论来提供描述界面动力学和共同曲线密度的演化方程。在这里，我们指出了产生这样的进化方程的挑战和陷阱，基于平均定理开发了一组这样的方程，并确定了在实验和计算努力中需要特别注意的项，以参数化方程。我们使用演化方程来指定一个封闭的两相流模型。
This work is the eighth in a series that develops the fundamental aspects of the thermodynamically constrained averaging theory (TCAT) that allows for a systematic increase in the scale at which multiphase transport phenomena is modeled in porous medium systems. In these systems, the explicit locations of interfaces between phases and common curves, where three or more interfaces meet, are not considered at scales above the microscale. Rather, the densities of these quantities arise as areas per volume or length per volume. Modeling of the dynamics of these measures is an important challenge for robust models of flow and transport phenomena in porous medium systems, as the extent of these regions can have important implications for mass, momentum, and energy transport between and among phases, and formulation of a capillary pressure relation with minimal hysteresis. These densities do not exist at the microscale, where the interfaces and common curves correspond to particular locations. Therefore, it is necessary for a well-developed macroscale theory to provide evolution equations that describe the dynamics of interface and common curve densities. Here we point out the challenges and pitfalls in producing such evolution equations, develop a set of such equations based on averaging theorems, and identify the terms that require particular attention in experimental and computational efforts to parameterize the equations. We use the evolution equations developed to specify a closed two-fluid-phase flow model.
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DOI：
10.1016/j.future.2003.12.010
发表时间：
2004-08-01
期刊：
FUTURE GENERATION COMPUTER SYSTEMS
影响因子：
--
作者：
Argentini, R;Bakker, AF;Lowe, CP
通讯作者：
Lowe, CP
影响因子：
2.7
作者：
BRYANT, SL;KING, PR;MELLOR, DW
通讯作者：
MELLOR, DW
影响因子：
2.1
作者：
Coles, ME;Hazlett, RD;Soll, W
通讯作者：
Soll, W
影响因子：
2.7
作者：
Gray, WG;Tompson, AFB;Soll, WE
通讯作者：
Soll, WE
影响因子：
6.6
作者：
ALTS, T;HUTTER, K
通讯作者：
HUTTER, K