Abstract of the paper ``Mechanics of porous elastic materials containing
multiphase fluid'' with Lewis Thigpen
A continuum theory of mixtures for a porous elastic solid saturated by
immiscible viscous fluids is presented. The theory includes micro-inertial
effects for the local fluctuation in volume fractions of the solid and fluid
constituents. Gradients of volume fraction of both the elastic solid and fluid
constituents are included in the constitutive variables. Equations governing
the macroscopic motion are developed and show that the present theory contains
both Biot's equations and multiphase Darcy flow through porous media as
special cases.
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