Seismoelectric reflection and transmission at a fluid/porous-medium interface

2010 ◽  
Vol 127 (1) ◽  
pp. 13-21 ◽  
Author(s):  
Menne Schakel ◽  
David Smeulders
Keyword(s):  
Porous Medium ◽  
Reflection And Transmission ◽  
Medium Interface

Reflection and transmission of waves at a fluid/porous‐medium interface

Geophysics ◽  
2002 ◽  
Vol 67 (1) ◽  
pp. 282-291 ◽  
Author(s):  
Arthur I. M. Denneman ◽  
Guy G. Drijkoningen ◽  
David M. J. Smeulders ◽  
Kees Wapenaar
Keyword(s):  
Porous Medium ◽  
P Wave ◽  
Reflection And Transmission Coefficients ◽  
Sand Layer ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Wave Velocities ◽  
Medium Interface ◽  
Water Saturated ◽  
Silt Layer

We study the wave properties at a fluid/porous‐medium interface by using newly derived closed‐form expressions for the reflection and transmission coefficients. We illustrate the usefulness of these relatively simple expressions by applying them to a water/porous‐medium interface (with open‐pore or sealed‐pore boundary conditions), where the porous medium consists of (1) a water‐saturated clay/silt layer, (2) a water‐saturated sand layer, (3) an air‐filled clay/silt layer, or (4) an air‐filled sand layer. We observe in the frequency range 5 Hz–20 kHz that the fast P‐wave and S‐wave velocities in the four porous materials are indistinguishable from the corresponding frequency‐independent ones calculated using Gassmann relations. Consequently, for these frequencies we would expect the reflection and transmission coefficients for the four water/porous‐medium interfaces to be similar to the ones for corresponding interfaces between water and effective elastic media (described by Gassmann wave velocities). This expectation is not fulfilled in the case of an interface between water and an air‐filled porous layer with open pores. A close examination of the expressions for the reflection and transmission coefficients shows that this unexpected result is because of the large density difference between water and air.

Pseudo interface waves observed at the fluid/porous-medium interface. A comparison of two methods

2011 ◽  
Vol 129 (5) ◽  
pp. 2912-2922 ◽  
Author(s):  
K. N. van Dalen ◽  
G. G. Drijkoningen ◽  
D. M. J. Smeulders
Keyword(s):  
Porous Medium ◽  
Interface Waves ◽  
Medium Interface

scholarly journals Modelling and simulation of waves in three-layer porous media

2013 ◽  
Vol 20 (6) ◽  
pp. 1023-1030 ◽  
Author(s):  
S. R. Pudjaprasetya
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Gravity Waves ◽  
Wave Reflection ◽  
Single Layer ◽  
Reflection And Transmission ◽  
Weakly Nonlinear ◽  
Model Equations ◽  
The Impact ◽  
Wave Transmission Coefficient

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.

Reflection and refraction at a fluid–porous medium interface

1992 ◽  
Vol 92 (2) ◽  
pp. 1113-1119 ◽  
Author(s):  
Giacomo Caviglia ◽  
Angelo Morro ◽  
Brian Straughan
Keyword(s):  
Porous Medium ◽  
Reflection And Refraction ◽  
Medium Interface

Propagation of acoustic waves in layered porous media

2007 ◽  
Vol 5 ◽  
pp. 169-175
Author(s):  
V.L. Dmitriev ◽  
Е.А. Ponomareva
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Dispersion Relation ◽  
Acoustic Waves ◽  
Saturated Liquid ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Layered Porous Media ◽  
The Media

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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