scholarly journals Modeling Streaming Potential in Porous and Fractured Media, Description and Benefits of the Effective Excess Charge Density Approach

Author(s):  
D. Jougnot ◽  
D. Roubinet ◽  
L. Guarracino ◽  
A. Maineult
2021 ◽  
Author(s):  
Damien Jougnot ◽  
Luong Duy Thanh ◽  
Mariangeles Soldi ◽  
Jan Vinogradov ◽  
Luis Guarracino

<p>Understanding streaming potential generation in porous media is of high interest for hydrological and reservoir studies as it allows to relate water fluxes to measurable electrical potential distributions in subsurface geological settings. The evolution of streaming potential <span>stems</span> from electrokinetic coupling between water and electrical fluxes due to the presence of an electrical double layer at the interface between the mineral and the pore water. Two different approaches can be used to model and interpret the generation of the streaming potential in porous media: the classical coupling coefficient approach based on the Helmholtz-Smoluchowski equation, and the effective excess charge density. Recent studies based on both approaches use a mathematical up-scaling procedure that employs the so-called fractal theory. In these studies, the porous medium is represented by a bundle of tortuous capillaries characterized by a fractal capillary-size distribution law. The electrokinetic coupling between the fluid flow and electric current is obtained by averaging the processes that take place in a single capillary. In most cases, closed-form expressions for the electrokinetic parameters are obtained in terms of macroscopic hydraulic variables like permeability, saturation and porosity. In this presentation we propose a review of the existing fractal distribution models that predict the streaming potential in porous media and discuss their benefits compared against other published models.</p>


An earlier paper discussed the influence of the shape of a macroscopic piece of ionic crystal on the electrostatic energy of the whole piece of crystal. Some of the considerations of that paper are extended to include the effects on the bulk term in the energy of distributing excess charge on the surface of the piece of crystal. The bulk term in the electrostatic energy of the piece of crystal plus surface charges depends on the shape of the piece and the surface charge density. The minimum of this bulk term with respect to surface charge density occurs at a well defined surface charge density and is the usual (shape-independent) Madelung crystal energy.


1988 ◽  
Vol 91 (3) ◽  
pp. 367-377 ◽  
Author(s):  
N.F. Owens ◽  
D. Gingell ◽  
J. Bailey

Amoebae of the slime mould Dictyostelium discoideum form broad ultrathin cytoplasmic lamellae by a centripetal contractile process soon after they have spread on certain solid surfaces. We have investigated the surface requirements for initial triggering of this contact-mediated signalling system. The lamellar response is not normally evoked by glass, but is seen on glass covalently derivatized with paraffinic chains, as well as on glass covalently derivatized with amine groups and on glass bearing adsorbed polylysine. We have recorded the frequency of the lamellar response on these surfaces as a function of ionic strength and pH, and have measured the electrostatic potentials of the surfaces by the streaming potential method. Using these data we have concluded that the general trigger for the lamellar response is not a ‘simple’ physical or chemical property of the substrata: it is not dependent on specific chemical groups, degree of hydrophobicity, electrostatic potential, or charge density, taken as isolated factors. It seems likely that triggering is dependent on the overall energetics of cell-substratum interaction.


Author(s):  
Fang Qian ◽  
Deng Huang ◽  
Wenyao Zhang ◽  
Wenbo Li ◽  
Qiuwang Wang ◽  
...  

Abstract Electrokinetic energy conversion being a promising clean energy production technology utilizes the electric double layer (EDL) in a nanochannel to convert hydrodynamic energy to electrical power. The previous research mainly focuses on the electrokinetic energy conversion in straight nanochannels. In this work, we perform a systematic investigation of electrokinetic energy conversion in a conical nanochannel. For this purpose, a multiphysical model consisting of the Planck-Nernst-Poisson equation and Navier-Stokes equation was formulated and solved numerically. Particularly, we discover various regulation effects in the electrokinetic energy conversion in conical nanochannels that the energy conversion characteristics (streaming potential, streaming current and I-V characteristics) are different for a forward pressure difference and a backward pressure difference of the same magnitude. These regulation effects are found to be caused by the conicity of channel. Then the effects of the channel conicity, applied pressure difference and the surface charge density on the performance of electrokinetic energy conversion are discussed in details. It is generally shown that the regulation effects are enhanced by increasing the conicity, pressure difference and surface charge density. The conclusions from this work can serve as important reference and guidelines for the design and operation of electrokinetic energy conversion devices.


2020 ◽  
Author(s):  
Damien Jougnot ◽  
Santiago Solazzi

<p>Seismoelectric signals result from an electrokinetic coupling phenomena that can be modeled through two approaches: the coupling coefficient or the effective excess charge density. The traditional approach is based on the frequency dependent coupling coefficient that can relate differences in pressure to differences in electrical potential. The second approach is more recent and is related to the description of the excess charge that is effectively dragged by the pore water displacement relatively to the mineral surface. In this contribution, we propose a new model to obtain the frequency dependent effective excess charge density. The electrokinetic coupling is mechanistically up-scaled considering the pore as a straight capillary. This approach, called flux-averaging, takes into account the inertial term of the Navier-Stokes equation to explain both the dynamic permeability and the effective excess charge density dependence with oscillation frequency. The frequency dependent coupling coefficient can then be calculated from this result. The model results are then successfully compared to previous models and published data. This work is a first step to predict seismoelectric electrokinetic coupling in much more complicated porous media in saturated and partially saturated conditions.</p>


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