Low frequency implementation of the full Kramers‐Kronig relationships for the description of dispersion and attenuation of acoustical waves in porous media

2008 ◽  
Vol 123 (5) ◽  
pp. 3036-3036
Author(s):  
Bernard R. Castagnede ◽  
Denis Lafarge ◽  
Claude Depollier ◽  
Naima Sebaa ◽  
Michel Henry
Keyword(s):  
Porous Media ◽  
Low Frequency ◽  
Dispersion And Attenuation

On the low frequency permittivity of liquid-filled porous media

1994 ◽  
Vol 90 (3) ◽  
pp. 201-204 ◽  
Author(s):  
B. Nettelblad ◽  
G.A. Niklasson
Keyword(s):  
Porous Media ◽  
Low Frequency

Investigation of Low Frequency Elastic Wave Application for Fluid Flow Percolation Enhancement in Fractured Porous Media

2013 ◽  
Vol 31 (11) ◽  
pp. 1159-1167 ◽  
Author(s):  
B. Keshavarzi ◽  
R. Karimi ◽  
I. Najafi ◽  
M. H. Ghazanfari ◽  
M. Amani ◽  
...  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Elastic Wave ◽  
Low Frequency ◽  
Fractured Porous Media

Influence of patchy saturation on seismic dispersion and attenuation in fractured porous media

2018 ◽  
Vol 214 (1) ◽  
pp. 583-595 ◽  
Author(s):  
Jinwei Zhang ◽  
Handong Huang ◽  
Chunhua Wu ◽  
Sheng Zhang ◽  
Gang Wu ◽  
...  
Keyword(s):  
Porous Media ◽  
Fractured Porous Media ◽  
Dispersion And Attenuation

On charge accumulation in heterogeneous porous rocks under the influence of an external electric field

Geophysics ◽  
2013 ◽  
Vol 78 (4) ◽  
pp. D271-D291 ◽  
Author(s):  
A. Revil
Keyword(s):  
Porous Media ◽  
Electric Field ◽  
Effective Permittivity ◽  
Low Frequency ◽  
Free Water ◽  
Planck Equation ◽  
Charge Accumulation ◽  
Porous Rocks ◽  
Stern Layer ◽  
Charge Polarization

Electric polarization is described as the sum of charge accumulations (free charge density) and orientation of polar molecules such as those of bound and free water molecules (bound charge polarization). Charge accumulation in porous materials cannot be described with Ohm’s law alone. Nonequilibrium thermodynamics or the upscaling of the local Nernst-Planck equation imply that the drift of ions in porous media is controlled by the gradient of their electrochemical potentials and not solely by the electric field. In porous media, electrochemical capacitance is at least six to eight orders of magnitude larger than electrostatic capacitance associated with bound charge polarization. In other words, the low-frequency ([Formula: see text]) effective permittivity entering Ampère’s law is six to eight orders of magnitude larger than high-frequency dielectric permittivity (measured for instance at 1 GHz). Low-frequency polarization of porous media, with no metallic particles (no electronic conductors and semiconductors) is controlled by polarization of the inner component of the electrical double layer coating the grains. This layer, called the “Stern layer,” plays a strong role in defining the cation exchange capacity of a material. A polarization model based on the polarization of the Stern layer explains a large number of experimental observations and could be used in the interpretation of hydro- and petroleum geophysical measurements.

Low-frequency dispersion and attenuation in anisotropic partially saturated rocks

2017 ◽  
Vol 209 (3) ◽  
pp. 1572-1584 ◽  
Author(s):  
Fabio Cavallini ◽  
José M. Carcione ◽  
Daniel Vidal de Ventós ◽  
Lisbeth Engell-Sørensen
Keyword(s):  
Low Frequency ◽  
Frequency Dispersion ◽  
Partially Saturated ◽  
Dispersion And Attenuation
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