Analytical Approach on Nonlinear Vibration and Wave Response of Saturated Porous Media Subjected to Multiple Excitations

Abstract

This research investigates the wave motions of a porous medium saturated by multiple immiscible fluids in porous media subjected to multiple external excitations, via an analytical and numerical approach. The findings of this research contribute to the comprehension of fluids and solid interactions in porous media excited by multiple energy sources. With the approach developed, the vibrations of any desired point and wave motion at desired domain can be quantitatively determined in terms of amplitude and frequency of the vibrating points and therefore the wave propagation in the domain. The relationships among the relative displacements, porosity of the porous medium, saturations of the fluids and the other system parameters are also studied quantitatively.