基于随机生长四参数法的多孔介质模型

Porous Media Model based on Random Growth Four-parameter Method

为了研究所列因素的改变对生成孔隙空间以及程序运行时间的影响,使用向量乘法建立四参数随机生长方法(QSGS)模型,并讨论模型参数对生成孔隙结构及计算机生成孔隙模型耗时的影响,使用Matlab软件针对不同孔隙度、固相核分布和生长概率参数建立二维和三维孔隙模型。结果表明:孔隙率与固相核占比呈正相关,孔隙率选取过大会生成无效孔隙,过小会导致固相核孤立。在二维和三维模型中,模孔隙率参数越大生成孔隙模型时间越长,而生长概率与孔隙分布参数改变对模型生成时间影响较小。在三维模型情况下由于消耗更多计算资源,因此研究计算区域网格数对孔隙模型生成时间影响,且随网格数增加模型生成时间显著增加。

To investigate the impact of changes in the listed factors on the generation of pore space and program runtime.Multiplication of vectors is used to the establish of four-parameter stochastic growth method(QSGS)model.The influence of model parameters on the generation of pore structure and the time consumption of computer generated pore model is discussed.Using Matlab software,two-dimensional and three-dimensional pore models are established for different porosity,solid core distribution and growth probability parameters.Numerical simulation and analysis are carried out for different porosity,distribution probability of solid phase nuclei and growth probability,and the changes of program running time caused by parameter changes are counted.In two dimensions,the porosity is positively correlated with the proportion of the solid phase.High porosity generates invalid pores and low porosity leads to the isolation of solid phase nuclei.The smaller is the distribution probability,the fewer is the number of initial solid phase nuclei.The growth probability affects the pore distribution in precision.In three dimensions,the effect of different parameters on the pore distribution is similar to that of 2D,but the running time is significantly increased.In addition,it is found that in three dimensions the running time increases significantly when the number of grids increases.