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We attempt to formalise the relationship between the poroelasticity theoryand the effective medium theory of micromechanics. The assumptions of these twoapproaches vary, but both can be linked by considering the undrained responseof a material; and that is the main focus of the paper. To analyse the linkagebetween poroelasticity and micromechanics, we do not limit ourselves to theoriginal theory of Biot. Instead, we consider a multi-porous extension ofanisotropic poroelasticity, where pore fluid pressure may vary within the bulkmedium of interest. As a consequence, any inhomogeneities in the material arenot necessarily interconnected; instead, they may form isolated pore sets thatare described by different poroelastic parameters and fluid pressures. Weattempt to incorporate the effective methods inside Biot-like theory andinvestigate the poroelastic response of various microstructures. We show thecases where such implementation is valid and the others that appear to bequestionable. During micromechanical analysis, we derive a particular case ofcylindrical transverse isotropy -- commonly assumed in conventional laboratorytriaxial tests -- where the symmetry is induced by sets of aligned cracks.

Multi-porous extension of anisotropic poroelasticity: linkage with micromechanics