本文研究了分形油藏无限大地层和有界地层非牛顿幂律流渗流模型 ,利用拉氏变换和分解的方法求得了井底定流量生产无限大地层及有界地层 (包括封闭和定压地层 )五种情况非牛顿幂律流的实空间解析解 ,通过数值积分法和拉氏数值反演分析了分形油藏非牛顿幂律流的压力动态特征以及分形参数和边界对压力动态的影响。 In this paper, we study the non-Newtonian power flow percolation model of infinite fractures and bounded reservoirs in fractal reservoirs. By using the Laplace transform and decomposition method, we can obtain the constant bottom hole flow to produce infinite and bounded strata (including the closed and constant pressure stratum ), The non-Newtonian power-law fluid flow in fractal reservoirs is analyzed by numerical integration method and Laplace numerical inversion method. The fractal parameters and boundary pressure dynamics are also analyzed.