Micropolar mixture theory of porous media

A continuum theory is developed for a mixture of a micropolar elastic solid and a micropolar viscous fluid. Soil with grains and tortuous rock formations containing dirty fluids may be modeled with this theory. The micropolar model allows the rotational degrees of freedom that give rise to a nonsymmetric stress tensor and couple stresses. Balance laws are given. The second law of thermodynamics is used to develop constitutive equations. Linear constitutive equations are constructed for a heat conducting mixture. Field equations are obtained, boundary and initial conditions presented. As a special case, the field equations of a mixture of an elastic solid and a Newtonian fluid are obtained, by dropping the micropolar effects.