Squirt flow in porous media saturated by Maxwell-type non-Newtonian fluids

Mechanical waves, which are commonly employed for the noninvasive characterization of fluid-saturated porous media, tend to induce pore-scale fluid pressure gradients. The corresponding relaxation process is referred as squirt flow and associated viscous dissipation can significantly affect waves' amplitudes velocities. This, in turn, implies that measurements contain key information about flow-related properties probed medium. In many natural applied scenarios, pore fluids effectively non-Newtonian, processes have, yet, not been analyzed. this work, we present a numerical approach model attenuation modulus dispersion compressional waves due media saturated by Maxwell-type non-Newtonian fluids. particular, explore effective response medium comprising an elastic background with interconnected cracks fluid. Our results show wave signatures strongly depend on Deborah number, defined relationship between classic Newtonian characteristic frequency intrinsic Maxwell With larger numbers, increases its maximum shifted towards higher frequencies. Although plane-wave generally increasing it may, however, also decrease within restricted region spectrum.