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多孔介质三相流中的毛细压力和相对渗透率
CAPILLARY PRESSURE AND RELATIVE PERMEABILITY OF THREE PHASE FLOW IN POROUS MEDIA
【摘要】 毛细压力、相对渗透率与饱和度的关系是求解多孔介质多相流运动方程的基础。三相流情况下,同时测定各相流体的饱和度、压力以及渗透率十分困难,所得数据未必可信,本文在各相流体相对湿润性次序确认的基础上,选用Brooks—Corey 的毛细压力- 饱和度关系式,将两相流中实测的毛细压力- 饱和度关系式推广到三相流中,从而可以方便地利用两相流的实测结果来得到三相流情况下毛细压力与饱和度的关系。同时,本文利用mualem 的相对渗透率模型和Brooks—Corey 的毛细压力- 饱和度关系式推导得到了三相流情况下各相流体的相对渗透率与饱和度的关系,而且这组关系可以方便地应用于推求任意两相流情况下各相流体的相对渗透率
【Abstract】 For solving porous media multiphase flow equations, capillary pressure—relative permeability—fluid saturation relationships are the most important bases. Under three—phase situation, it is very difficult to measure saturation, pressure and permeability of each phase simultaneously, and the measured results are even not so reliable. Based on the assumption of relative wettability of involved three phases, it is discussed in this paper that it is possible to get the three—phase capillary pressure—saturation relationship through the capillary pressure—saturation results of two—phase system. The expression formula of capillary pressure—saturation relationship by Brooks and Corey was used in this paper to extend the result of two—phase system to three—phase system. In addition, using relative permeability model of Mualem and Brooks and Corey’s capillary pressure—saturation relationship, relative permeability—saturation relationship of each phase in three—phase system was deduced. Further more, this set of relationships can be conveniently applied to get the relative permeability of arbitrary two—phase system.
【Key words】 capillary pressure; relative permeability; saturation; three—phase flow;
- 【文献出处】 环境科学进展 , 编辑部邮箱 ,1999年05期
- 【分类号】P641.2
- 【被引频次】35
- 【下载频次】870