  The concepts of representative volume element (RVE), statistical homogeneity
and homogeneous boundary conditions are invoked to arrive at bounds on
effective moduli for heterogeneous anisotropic poroelastic solids. The
homogeneous displacement boundary condition applicable to linear elasticity is
replaced by a homogeneous displacement-pressure boundary condition to arrive at
an upper bound within the RVE while the homogeneous traction boundary condition
applicable to linear elasticity is replaced by a homogeneous traction-fluid
content boundary condition to arrive at a lower bound within the RVE.
Statistical homogeneity is then invoked to argue that the bounds obtained over
the RVE are representative of the bounds obtained over the whole heterogeneous
poroelastic solid.
