基于泰森多边形原理构建孔隙网络模型

Construction of Pore-scale Network Model Based on Tyson Polygon Principle

利用泊松分布,结合泰森多边形方法及分形理论,构建出了新的二维分形孔隙网络模型。运用尺度增长频率Fλ和尺度缩放比Pλ两个物性参数对网络模型微观结构进行表征,推导出网络模型分形维数的计算公式。通过对模型孔隙度的计算验证了模型的有效。

Using Poisson distribution combined with Tyson polygon method and theory, a new two-dimensional fractal pore network model is constructed. Scale growth Frequency Fλand scale pantograph ratio Pλare used to represent the network model microstructure, and the network model fractal dimension calculation formula is worked out. Through calculation of model porosity, the validity of the model is verified.