Effect of fractional interporosity flow on elastic waves propagation through a fluid-saturated double-porosity interlayer

The reflection and transmission behaviors of elastic waves through a fluid-saturated double-porosity interlayer are studied in present work. In order to simulate the interporosity flow, which cannot be appropriately described by the Darcy's law, a modified transport equation using fractional order derivative is introduced to the double porosity, dual-permeability model for the wave propagation in fluid-saturated double-porosity solid. The reflection and transmission coefficients are derived by satisfying the interfacial conditions of tractions and displacements. As a main feature of fluid-saturated double-porosity solid, the influences of interporosity flow on the wave propagation behavior are mainly studied. The numerical results are provided and shown graphically. It is observed that the reflection/transmission and the energy dissipation behavior are affected noticeably by the interporosity flow.