Mathematical models of two-velocity media. Part II

A general scheme for the construction of the equation of state for two-velocity models of movement of solutions through a fracturous-porous medium is proposed. A model equation of state for the simplest two-velocity medium without shear stresses is constructed by a power series expansion of the chemical potential with respect to the thermodynamic variables describing the deviation of the system from the equilibrium. It is shown how the coefficients of expansion can be expressed through the composite characteristics of the medium. A difference scheme constructed on the principle of decomposition of dynamic equations into the hyperbolic and parabolic parts is proposed for the numerical analysis of a 1D nonstationary model. The explicit and implicit schemes of Godunov of the first order of accuracy serve as a basis for the construction.