Reflection and transmission of waves in composite porous media: A quantification of energy conversions involving slow waves

2006 ◽  
Vol 120 (5) ◽  
pp. 2425-2436 ◽  
Author(s):  
J. Germán Rubino ◽  
Claudia L. Ravazzoli ◽  
Juan E. Santos
2002 ◽  
Vol 111 (5) ◽  
pp. 2387
Author(s):  
Gareth Block ◽  
Nicholas P. Chotiros
Keyword(s):  

2013 ◽  
Vol 20 (6) ◽  
pp. 1023-1030 ◽  
Author(s):  
S. R. Pudjaprasetya

Abstract. The propagation of gravity waves in an emerged three-layer porous medium is considered in this paper. Based on the assumption that the flow can be described by Darcy's Law, an asymptotic theory is developed for small-amplitude long waves. This leads to a weakly nonlinear Boussinesq-type diffusion equation for the wave height, with coefficients dependent on the conductivities and depths of each layer. In the limit of equal conductivities of all layers, the equation reduces to the single-layer result recorded in the literature. The model equations are numerically integrated in the case of an incident monochromatic wave hitting the layers. The results exhibit dissipation and also a downstream net height rise at infinity. Wave transmission coefficient in three-layer porous media with conductivity of mangrove is discussed. Numerically, propagation of an initial solitary wave through a porous medium shows the emergence of wave reflection and transmission that both evolve as permanent waves. Additionally we examine the impact of a solitary gravity wave on a porous medium breakwater.


2007 ◽  
Vol 5 ◽  
pp. 169-175
Author(s):  
V.L. Dmitriev ◽  
Е.А. Ponomareva

The paper considers the processes of reflection and transmission acoustic waves at the interface between two porous media, saturated liquid or gas. The cases of a porous medium whose layers have the same porosity, but are saturated with different fluids. Based The dispersion relation and the conditions at the interface between the media are obtained reflection and transmission coefficients. The possibility determination of the parameters of the porous material and its saturating fluid based on the signal reflected from the interface.


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