关键词: 球形流动, 非牛顿幂律流体, 井筒储存和表皮, 剪切速率, 数学模型, 试井参数

Abstract: Based on the need of pressure dynamic testing of polymer-injecting reservoirs in oilfield development and the situation of partly penetrating formation at the present,this paper proposes the formula of spherical shear rate similar to the cylindric's by Savins and give the variable relation between of fluid viscosity and spherical radius by using power-low model.So,we created the mathematical model of unsteady spherical flow of non-Newtonian power-law fluids,and obtained the analytic solution about wellbore pressure in Laplace space.Through analysis of the dynamic behaviors of bottom hole pressure at early and late stage,we can see that's similar to the Newtonian's at early period,but it's not the same behaviors of pressure with the varying power-law index.In the end,author gives interpreting methods about well-test parameters,and the solution of model,which provides sufficient a theoretical basis for interpreting well-test parameters on non-Newtonian spherical flow.

Key words: spherical flow, non-Newtonian power-low fluid, shear rate, mathematical model, well-test parameters