幂律流体不稳定径向流的数值解法

APPROXIMATE SOLUTION FOR UNSTEADY STATE RADIAL FLOW OF NON NEWTONIAN POWER LAW FLUIDS THROUGH POROUS MEDIA

对微可压缩非牛顿幂律流体在均质多孔介质中的非稳定径向渗流方程进行了回顾和对比，用有限差分方法建立了微分方程的数值解法．研究了时间步长、空间步长对数值解精度和稳定性的影响，并结合算例绘出了不同流性指数的瞬时压力曲线．该研究结果可用于非牛顿流体渗流机理研究及试井分析．

This paper gives a retrospect on the partial differential equation for transient flow of non Newtonian power law slightly compressible fluid through homogenous porous media. A numerical solution by using finite difference is developed. The influence on the accuracy and stability of the solution by the time discretizing and space differencing is discussed. Based on the data of example problem, the transient pressure curves for various flow behavior index are presented. These results can be applied to well test analysis and the study of flow mechanism for power law fluids.