Since some oil fields have entered the late stage of high water-cut development, the use of polymer flooding and other oil recovery technologies makes the fluid be of non-Newtonian characteristics, but the existing elastic outer boundary percolation model ignores this point. Firstly, this paper establishes a non-Newtonian power-law fluid percolation model with the elastic outer boundary condition. Secondly, the analytical solution of the percolation model is obtained in the Laplace space by the structural method. Thirdly, the double logarithmic characteristic curves are drawn. Finally, the sensitivity analysis of the parameters is carried out. The results show that the wellbore storage coefficient and skin factor play important roles in the early stage of the double logarithmic curves. For the radial flow stage and the later flow stage, the main influence factors are the power-law index, the elastic coefficient and outer boundary radius, respectively. It is concluded that the percolation model established in this paper provides a theoretical basis for reasonably solving the problem that the previous data deviation could not explain the reservoir parameters well. Meanwhile, the application of the structural method can provide a scientific calculation method for the well test analysis of non-Newtonian power-law fluids.

由于部分油田进入高含水开发后期，聚合物驱等采油技术的使用使流体具有非牛顿特性，而现有的弹性外边界渗流模型忽略了这一点。首先，本文建立了具有弹性外边界条件的非牛顿幂律流体渗流模型。其次，通过构造方法在拉普拉斯空间中得到渗流模型的解析解。第三，绘制双对数特性曲线。最后对参数进行敏感性分析。结果表明，井筒蓄水系数和表皮系数在双对数曲线的早期起着重要作用。对于径向流动阶段和后流动阶段，主要影响因素分别为幂律指数、弹性系数和外边界半径。结论：本文建立的渗流模型为合理解决以往数据偏差不能很好解释储层参数的问题提供了理论依据。同时，结构方法的应用可为非牛顿幂律流体的试井分析提供一种科学的计算方法。