基于元胞自动机理论的孔隙介质渗流的模拟应用
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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.
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.
引文
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[2]刘建军,代立强,李树铁.孔隙介质渗流微观数值模拟[J].辽宁工程技术大学学报,2005(05):680-682.
[3] Wolfram S. Statistical mechanics of cellular automata[J]. Rev Mod Phy, 1983, 55(3):601-644.
[4]李才伟.元胞自动机及复杂系统的时空演化模拟[D].华中理工大学华中科技大学,1997.
[5]马志涛,谭云亮.岩石破坏演化细观非均质物理元胞自动机模拟研究[J].岩石力学与工程学报,2005(15):2704-2708.
[6]谭云亮,周辉,王泳嘉,马志涛.模拟细观非均质材料破坏演化的物理元胞自动机理论[J].物理学报,2001(04):704-710.
[7]张裙瑶.基于LBM和数字岩心的页岩基质渗透率计算研究[D].东北石油大学,2016.
[8]刁培松,张静.两点分布及其应用[J].山东工程学院学报,1999(01):38-40.
[9]谢惠民.动力系统的复杂性刻划[J].力学进展,1996(03):289-305.
[10]吕晓阳,孔令江.细胞自动机的演化与计算理论[J].华南师范大学学报:自然科学版,1996(2):43-49.
[11] Khanjary M, Sabaei M, Meybodi M R. A percolation algorithm based on cellular automata[C]//IEEE International Conference on Electro/information Technology. IEEE, 2015:472-477.
[12] Bach B, Pietriga E, Fekete J D. Visualizing dynamic networks with matrix cubes[M]. 2013.
[13]赵秀才,姚军.数字岩心建模及其准确性评价[J].西安石油大学学报(自然科学版),2007(02):16-20+174.
[14]王勇智.数字图象的二值化处理技术探究[J].湖南理工学院学报(自科版),2005, 18(1):31-33.