粘性指进的实验、模拟与多分形研究  

Studies on Viscous Fingering′s Experiment, Simulation and Multifractal

作　　者：张建华[1] 罗俊[1] 屈世显[1] 刘振华[1] 

机构地区：[1]西安石油学院基础课部

出　　处：《科技通报》1998年第5期315-320,共6页Bulletin of Science and Technology

基　　金：国家自然科学基金;中国石油天然气总公司中青年创新基金

摘　　要：利用与以往实验不同的砂粒多孔介质模型，研究了水对甘油的径向驱替过程，观察到粘性指进现象的分形特征，其分维值Ｄ＝１．８６±０．０８．在随机网格上利用与传统方法不同的改型ＤＬＡ生长模型，计及两相流体驱替过程中的界面张力效应，模拟得到了与实验相符的结果，并研究了相应集团的多分形特征，粒子新生长点构成的子集具有维数Ｄ０＝１．４６１，集团的信息维Ｄ１＝０．９１９，关联维Ｄ２＝０．８２０．多分形谱测度可以标定指进的动力学演化特征和界面复杂性，为定量化描述指进现象提供更为丰富的信息．A sand porous media experimental device, which was different from prior ones, was designed to study the process of water displacing glycerin radially. Viscous fingering fractal with dimension D =1.86±0.08 was observed.Considering the surface tension between the driving fluid and displaced fluid,a modified DLA model was used and agreeable results were simulated.The multifractal spectrum of the viscous fingering was also calculated. The dimension of the fractal set of new growth sites D 0 was 1.461, the information dimension D 1 =0.919,and the correlation dimension D 2 =0.820. The multifactal scale could be used to describe the hydrodynamics of viscous fingering and provide quantitative information for the viscous fingering.

关 键 词：粘性指进 模拟 多分形 驱油 多孔介质 驱替过程 

分 类 号：TE357.45[石油与天然气工程—油气田开发工程]