Published Paper Details:

Wave propagation through porous media is a phenomenon of significant interest across diverse scientific and engineering disciplines, including soil mechanics, seismology, acoustics, earthquake engineering, ocean engineering, and geophysics. This review provides a comprehensive overview of the literature on this subject.We begin by examining Biot's seminal theory, which describes wave propagation in linear, elastic, fluid-saturated porous media. Biot's theory predicts the existence of two dilatational waves and one rotational wave within such media. Notably, the second dilatational wave exhibits strong attenuation and displays diffusion-like behavior. The influence of coupling between the solid and fluid phases has a diminishing effect on the first dilatational wave while amplifying the second.This review delves into various analytical and numerical solutions derived by researchers based on Biot's theory. We then explore the extension of Biot's theory to unsaturated soils, discussing common approaches that adapt equations for saturated media by modifying density and compressibility parameters to account for the presence of air and water.The review further investigates methods for determining the permeability of porous media through the attenuation of dilatational waves. We then focus on the extensive research in geophysics concerning the prediction of acoustic wave speeds and attenuations in marine sediments, alongside studies on the dissipation of water waves at ocean bottoms.The mixture theory, a prominent framework in continuum mechanics, is discussed within the context of wave propagation in porous media. Subsequently, we present an alternative approach to deriving governing equations for wave propagation in porous media based on macroscopic balance equations.Finally, we analyze wave propagation in fractured porous media saturated with two immiscible fluids.