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研究了聚合物溶液等非牛顿幂律流体驱油条件下流体的渗流规律，在油层内存在多个非牛顿渗流区的基本假设条件下，建立了相应的这种复合油藏的渗流模型和描述压力变化的偏微分方程组，根据聚合物驱的油田实际情况，给出了偏微分方程的初始条件和无穷大、定压有界、封闭有界三种外边界条件，牛顿流复合油藏模型、非牛顿幂律流体渗流均质油藏模型、牛顿—非牛顿复合油藏模型均是其特例。得到了三种定解问题的油水井试井解释模型并分别求得了它们在Ｌａｐｌａｃｅ空间中的解析解，研究了解的特征，给出了存在两个和三个非牛顿渗流区条件下的两种特例，利用Ｓｔｅｈｆｅｓｔ数值反演方法求得了无因次压力随无因次时间的变化规律，制作了理论图版，进行了实例研究。本研究可用于解释聚合物驱、三元复合驱等非牛顿幂律流体渗流情况下的试井曲线，预测渗透率、表皮系数、油层压力、驱替前缘位置等参数。
The seepage law of fluids under polymer flooding and non-Newtonian power law fluid flooding conditions is studied. Under the basic assumption that there are many non-Newtonian seepage zones in the reservoir, the corresponding seepage model and description of the composite reservoir are established According to the actual situation of polymer flooding oilfield, the initial conditions of partial differential equations and the three boundary conditions of infinite, constant pressure and closed bounded, Newtonian composite reservoir model, Non-Newtonian power law fluid percolation homogeneous reservoir model, Newton - non-Newtonian composite reservoir model is its special case. Three well-known interpretation models for oil-water well testing are obtained and their analytical solutions in Laplace space are respectively obtained. The characteristics of the solution are studied. Two kinds of analytical solutions are given under the presence of two or three non-Newtonian seepage zones In the special case, Steinfest numerical inversion method was used to obtain the variation law of dimensionless pressure with dimensionless time, and a theoretical chart was made and a case study was made. This study can be used to explain well testing curves under non-Newtonian power law such as polymer flooding and ternary compound flooding, and to predict permeability, skin factor, reservoir pressure, displacement front position and other parameters.