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根据目前油田开发中注聚合物驱油藏的压力动态监测的需要以及考虑到油层部分射开具体情况，提出类似Ｓａｖｉｎｓ 径向渗流剪切速率的球向渗流剪切速率公式，运用幂律模型给出流体粘度随球向半径变化关系，建立了考虑井筒储存和 表皮效应非牛顿幂律流体不稳定球形流动数学模型，得出Ｌａｐｌａｃｅ空间井筒压力响应解析解，分析了早期和后期井筒压力 动态变化特征，给出试井参数计算方法。可以看出，在早期其特征与牛顿流情况相似而在后期，随幂律指数变化，呈现出与 牛顿流情形不同的压力变化特征。模型解对于非牛顿球向流试井参数解释提供了充分的理论依据。
According to the need of dynamic pressure monitoring of polymer-flooding reservoirs during oilfield development and considering the specific conditions of partial burst of reservoirs, a spherical-seepage shear rate formula similar to Savins radial seepage shear rate is proposed. The power-law model Based on the relationship between the fluid viscosity and the radius of the sphere, a mathematical model of non-Newtonian power-law fluid spherical flow considering wellbore storage and skin effect was established. The analytical solution of wellbore pressure response in Laplace space was obtained. The dynamic characteristics of wellbore pressure in early and late stages , Given test well parameters calculation method. It can be seen that in the early stage its characteristics are similar to those of Newtonian flow and later, with the change of power law index, it shows different characteristics of pressure changes compared with the Newtonian case. The model solution provides a sufficient theoretical basis for the interpretation of the flow well parameters by non-Newtonian ball.