Capillary saturation and desaturation.
Capillary saturation and desaturation.
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DOI：
10.1103/physreve.92.063023
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发表时间：
2015-12
期刊：
影响因子：
--
通讯作者：
R. Hilfer;R. Armstrong;S. Berg;A. Georgiadis;H. Ott
中科院分区：
文献类型：
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作者：
R. Hilfer;R. Armstrong;S. Berg;A. Georgiadis;H. Ott
毛细血管去饱和实验产生不连续的（被困）神经节的介观尺寸之间的孔隙大小和系统大小的中间。这些中尺度集群之间的相互作用在去饱和的实验证据进行了分析和讨论，在建立微观和宏观牛顿，杨拉普拉斯和达西定律。毛细管数的相关性的理论表达式介绍，似乎一直未被注意到。它用固定的毛细管压力和相对渗透率来表示毛细管去饱和曲线。理论表达式表明，在毛细管去饱和曲线中的平台饱和度一般可能不同于通过主滞后回线的饱和极限定义的残余非润湿饱和度。将滞后效应以及润湿流体与非润湿流体的区别引入毛细管去饱和实验分析。本文探讨了不同的去饱和协议的实验，并讨论了存在一个介观的长度尺度之间的孔隙规模和样品规模的中间。的理论表达式推导完全在现有的传统理论的两相流在多孔介质中，并比较最近的实验。
Capillary desaturation experiments produce disconnected (trapped) ganglia of mesoscopic sizes intermediate between pore size and system size. Experimental evidence for interactions between these mesoscale clusters during desaturation is analyzed and discussed within the established microscopic and macroscopic laws of Newton, Young-Laplace, and Darcy. A theoretical expression for capillary number correlations is introduced that seems to have remained unnoticed. It expresses capillary desaturation curves in terms of stationary capillary pressures and relative permeabilities. The theoretical expression shows that the plateau saturation in capillary desaturation curves may in general differ from the residual nonwetting saturation defined through the saturation limit of the main hysteresis loop. Hysteresis effects as well as the difference between wetting and nonwetting fluids are introduced into the analysis of capillary desaturation experiments. The article examines experiments with different desaturation protocols and discusses the existence of a mesoscopic length scale intermediate between pore scale and sample scale. The theoretical expression is derived entirely within the existing traditional theory of two-phase flow in porous media and compared to a recent experiment.