On wave propagation in gradient poroelasticity

•High frequency waves in gradient poroelasticity.•Microstructural effects on wave propagation.•Dilatational and shear waves in an infinite medium.•Dispersion and attenuation curves of P and S waves.

Using the governing equations of motion of a fluid- saturated poroelastic medium including micro-stiffness (for the solid and the fluid) and micro-inertia (for the solid) effects, propagation of plane harmonic waves are studied in the low and high frequencies range. The study involves both dilatational and rotational waves and focuses on the micro-stiffness and micro-inertia effects on the dispersion and attenuation of these waves.