A two-phase wedge-sliding model is developed based on the micro-cellular structure and minimum entropy theory of a stable system,and it is used to describe the ingredient distribution of a mixed fluid in a non-uniform stress field and to analyse its phase drift phenomenon.In the model,the drift-inhibition angle and the expansion-inhibition angle are also deduced and used as evaluating indexes to describe the drifting trend of different ingredients among the mixed fluids.For solving above two indexes of the model,a new calculation method is developed and used to compute the phase distributions of multiphase fluid at peak stress and gradient area stress,respectively.As an example,the flow process of grease in a pipe is analysed by simulation method and used to verify the validity of the model.