A New Model of Movement of Liquids in Porous Medium

摘要

The study of the movement of liquids with different rheological properties in a porous medium is of practical importance in the fields of oil production, chemical technology, hydrogeology [1]. At the same time, other approaches to the description of processes are distinguished. The study of motion are described mainly on various models. In this article, to describe the motion of rheologically stationary fluids in a porous medium, we propose a model, which we call the "hypothetical channel". In this case, the hydraulic radius and the quasi-Newtonian approach given in the work are used [5]. The essence of this approach is as follows: the movement of rheological parameters of time, foreign fluids in a porous medium are represented by the same fluid of various shapes in the channel, the hydraulic radius and shape coefficient of which are equal to the hydraulic radius and shape coefficient of the medium under consideration and at the same pressure gradients and the average velocity in the channel equal to the filtration rate in a porous medium.