scholarly journals Reconstruction of material properties profiles in one-dimensional macroscopically inhomogeneous rigid frame porous media in the frequency domain

2008 ◽  
Vol 124 (3) ◽  
pp. 1591-1606 ◽  
Author(s):  
L. De Ryck ◽  
W. Lauriks ◽  
P. Leclaire ◽  
J. P. Groby ◽  
A. Wirgin ◽  
...  
Keyword(s):  
Porous Media ◽  
Frequency Domain ◽  
Material Properties ◽  
One Dimensional ◽  
Rigid Frame

scholarly journals Validity of the One-Dimensional Limp Model for Porous Media

10.14311/1017 ◽  
2008 ◽  
Vol 48 (3) ◽  
Author(s):  
O. Doutres ◽  
N. Dauchez ◽  
J.-M. Genevaux ◽  
O. Dazel
Keyword(s):  
Porous Media ◽  
Porous Materials ◽  
Material Properties ◽  
Analytical Modeling ◽  
Fluid Model ◽  
Biot Model ◽  
One Dimensional ◽  
Rigid Frame ◽  
The One ◽  
Frame Stiffness

A straightforward criterion for determining the validity ofthe limp model validity for porous materials is addressed here. The limp model is an “equivalent fluid” model which gives a better description of porous behavior than the well known “rigid frame” model. It is derived from the poroelastic Biot model, assuming that the frame has no bulk stiffness. A criterion is proposed for identifying the porous materials for which the limp model can be used. It relies on a new parameter, the Frame Stiffness Influence FSI, based on porous material properties. The critical values of FSI under which the limp model can be used are determined using 1D analytical modeling for a specific boundary set: radiation of a vibrating plate covered by a porous layer. 

Conservative solute transport with periodic velocity and sinusoidal source concentration in semi-infinite porous media: An analytical solution

2014 ◽  
Vol 6 (1) ◽  
pp. 1024-1031
Author(s):  
R R Yadav ◽  
Gulrana Gulrana ◽  
Dilip Kumar Jaiswal
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Laplace Transformation ◽  
Seepage Velocity ◽  
Transformation Technique ◽  
Numerical Examples ◽  
One Dimensional ◽  
Porous Domain ◽  
Conservative Solute Transport ◽  
Source Concentration

The present paper has been focused mainly towards understanding of the various parameters affecting the transport of conservative solutes in horizontally semi-infinite porous media. A model is presented for simulating one-dimensional transport of solute considering the porous medium to be homogeneous, isotropic and adsorbing nature under the influence of periodic seepage velocity. Initially the porous domain is not solute free. The solute is initially introduced from a sinusoidal point source. The transport equation is solved analytically by using Laplace Transformation Technique. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs.

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