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建立了沉积岩孔隙结构的二维分形模型,引入了描述沉积岩孔隙结构的参数分布分维D和半径比γ,并利用该模型对大粘滞比情形下沉积岩中的两相流驱替进行了计算机模拟,结果表明粘滞指进型与结构参数存在密切关系.当半径比较小而分布分维较大时,指进型明显地呈十字形生长,而当半径比较大而分布分维较小时,指进型表现为完全无序的分支结构.通过数据拟合,得到了指进型分维与结构参数的表达式.
A two-dimensional fractal model of sedimentary rock pore structure was established. The fractal dimension D and radius ratio γ of the parameter distribution describing the pore structure of sedimentary rock were introduced. By using this model, the two-phase flow displacement in sedimentary rocks with large viscosity ratio was simulated Simulation results show that there is a close relationship between viscous fingering and structural parameters. When the radius is small and the distribution fractal dimension is large, the fingering is obviously a cross-shaped growth, while when the radius is relatively large and the fractal dimension is small, the fingering performance is a completely disordered branching structure. Through the data fitting, the expression of the fractal dimension and structure parameter is obtained.