Abstract:
For nonlinear viscous and viscoplastic porous media with free-boundary surface, a mathematical model is proposed. The free-boundary surface is a priory unknown surface,
which separates the parts of the porous body with a different properties. Typical examples
of free-boundary are the phase interface, which separates the phases of material, in the
theory of phase transformations and the surface between saturated and unsaturated
parts of a porous body. The variational set up of problen is given that allow us to
consider discontinuous solution of the problem. The boundary conditions on the unknown
surface are obtained by using this variational formulation These conditions are required
to determine the free-boundary surface. The results obtained in the paper can be used
to model transport phenomena in saturated soils.
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