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The concepts of representative volume element (RVE), statistical homogeneityand homogeneous boundary conditions are invoked to arrive at bounds oneffective moduli for heterogeneous anisotropic poroelastic solids. Thehomogeneous displacement boundary condition applicable to linear elasticity isreplaced by a homogeneous displacement-pressure boundary condition to arrive atan upper bound within the RVE while the homogeneous traction boundary conditionapplicable to linear elasticity is replaced by a homogeneous traction-fluidcontent boundary condition to arrive at a lower bound within the RVE.Statistical homogeneity is then invoked to argue that the bounds obtained overthe RVE are representative of the bounds obtained over the whole heterogeneousporoelastic solid.

A simple framework for arriving at bounds on effective moduli in heterogeneous anisotropic poroelastic solids