摘要
基于元胞自动机理论,建立了四方形网格元胞空间和摩尔型元胞邻居为类型的时空动态演化模型,并设计了模拟流程.利用两点分布表征岩石骨架和孔隙空间的非均匀分布,设定了可表征流体在多孔介质中渗流的演化规则,对二维和三维岩石多孔介质流体渗流的元胞矩阵进行了模拟,分析得到了两点分布不同概率对渗流数学参数的影响,分析了不同注入方式对流体最终占据孔隙空间的分布形态的影响,注入方式包括点注入、线注入和面注入,最终对真实CT扫描的数字二维岩心进行了流体渗流过程模拟.基于以上的研究,为流体在多孔介质中渗流模拟提供了有效的方法.
Based on the theory of cellular automata, a spatial-temporal dynamic evolution model of a square grid cell space and a Moorish cell neighbor is established, and a simulation process is designed. The non-uniform distribution of the rock skeleton and pore space is characterized by two-point distribution, and the seepage evolution rule of the fluid in porous media are set up. The cellular matrix of fluid seepage in porous media is simulated. The influence of different probabilities of two-point distribution on the mathematical parameters of seepage are analyzed. The influence of different injection modes on the distribution of the fluid in the pore space are analyzed. The injection methods include point injection, line injection and surface injection, and finally, the true CT digital 2 D core is used to simulate the fluid seepage process. Based on the above research, an effective method for fluid seepage simulation in porous media is provided.
作者
徐冰
刘义坤
XU Bing;LIU Yi-kun(School of Petroleum Engineering,Northeast Petroleum University,Daqing 163318 China)
出处
《数学的实践与认识》
北大核心
2019年第1期188-194,共7页
Mathematics in Practice and Theory
基金
国家科技重大专项"薄差油层剩余油分布及动用界限研究"(2016ZX05010-002-004)
国家科技重大专项"大型压裂过程复合压裂液体系提高采收率机理"(2016ZX05023005-001-003)
黑龙江省自然科学基金重点课题"大庆长垣油田三类油层压裂渗滤提高采收率机理研究"(ZD2018010)
关键词
元胞自动机
两点分布
孔隙介质
渗流
演化
cellular automata
two-point distribution
porous media
seepage
evolution
