Natural and anthropogenic fractured aquifers reservoirs are dual porosity matrix-fracture systems, where the fracture network provides highly–conductive flow pathways low–permeability matrix stores most of fluid. The coupling between mechanical deformation in media is often modeled using classical theory dual-porosity poroelasticity (DPP), based on Barenblatt's hypothesis pressure equilibrium i...

The linear theory of thermoelastic materials with a double porosity structure is considered. In the first part article we establish some basic theorems in dynamical theory. We derive reciprocity relation which involves two processes at different instants. This result forms basis uniqueness and reciprocal theorem. theorem established no definiteness assumption on elastic constitutive coefficient...