Effective Equations for Two-Phase Flow with Trapping on the Micro Scale
Effective Equations for Two-Phase Flow with Trapping on the Micro Scale
复制标题
微尺度捕集两相流的有效方程
DOI：
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发表时间：
2002
影响因子：
1.9
通讯作者：
I. Pop
中科院分区：
文献类型：
--
作者：
Duijn van Cj;A. Mikelić;I. Pop
本文研究了强非均质多孔柱的水驱采油方法。两相模型使用Corey相对渗透率和Brooks- Corey毛细管压力。非均质性垂直于流体并具有周期性结构。这导致一维流动和空间周期绝对渗透率，反映了粗层和细层的交替。假设有许多或薄的层，我们使用均匀化技术来推导有效的输运方程。这些方程的形式主要取决于毛细数。数值实验验证了分析结果。
In this paper we consider water-drive for recovering oil from a strongly heterogeneous porous column. The two-phase model uses Corey relative permeabilities and Brooks--Corey capillary pressure. The heterogeneities are perpendicular to the flow and have a periodic structure. This results in one-dimensional flow and a space periodic absolute permeability, reflecting alternating coarse and fine layers. Assuming many---or thin---layers, we use homogenization techniques to derive the effective transport equations. The form of these equations depends critically on the capillary number. The analysis is confirmed by numerical experiments.