Solving the problem of two viscous incompressible fluid media in the case of constant phase saturations

Abstract

The solution to equations of two viscous homogeneous incompressible fluid media with the pressure phase equilibrium in the case of a constant phase is obtained. The influence of the physical phase densities, saturation, volume and viscosity of substances constituting a two-phase continuum in the flow velocity and pressure is shown. Also, the solution admitting a limiting transition to the known solution of the problem of a flow of a viscous incompressible single-phase medium is constructed.

Keywords

• mathematical modeling
• two-velocity hydrodynamics
• incompressible fluid
• Earth’s tectonosphere