Extension of a Classic Thin Double Layer Polarization Theory of Colloidal Suspensions to Include the Stagnant Layer Conductivity

Grosse, Constantino

doi:10.1021/jp203156w

Cited by 5 publications

(21 citation statements)

References 15 publications

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“…This phenomenon and its effects on the governing polarization mechanisms are not well understood and have only been studied with regard to spheres in suspension (e.g. Dukhin & Shilov 1969, 1974, 2001; Shilov et al 2001; Grosse 2011). It has, however, been shown that the distance between particles in suspension has an effect on polarization processes and that the relaxation times do indeed decrease with increasing particle concentration (e.g.…”

Section: Discussionmentioning

confidence: 99%

“…In both cases, we observe a significantly smaller amplitude of the phase ϕ for the well sorted, sieved fractions (coloured data points) of the samples than for the original grain size distribution (black circles) of the samples. 1969, 1974Shilov et al 2001;Grosse 2011). It has, however, been shown that the distance between particles in suspension has an effect on polarization processes and that the relaxation times do indeed decrease with increasing particle concentration (e.g.…”

Section: Discussionmentioning

confidence: 99%

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Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Koch¹,

Revil

Holliger³

2012

Geophysical Journal International

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S U M M A R YRecently, Revil & Florsch proposed a novel mechanistic model based on the polarization of the Stern layer relating the permeability of granular media to their spectral induced polarization (SIP) characteristics based on the formation of polarized cells around individual grains. To explore the practical validity of this model, we compare it to pertinent laboratory measurements on samples of quartz sands with a wide range of granulometric characteristics. In particular, we measure the hydraulic and SIP characteristics of all samples both in their loose, noncompacted and compacted states, which might allow for the detection of polarization processes that are independent of the grain size. We first verify the underlying grain size/permeability relationship upon which the model of Revil & Florsch is based and then proceed to compare the observed and predicted permeability values for our samples by substituting the grain size characteristics by corresponding SIP parameters, notably the so-called Cole-Cole time constant. In doing so, we also asses the quantitative impact of an observed shift in the ColeCole time constant related to textural variations in the samples and observe that changes related to the compaction of the samples are not relevant for the corresponding permeability predictions. We find that the proposed model does indeed provide an adequate prediction of the overall trend of the observed permeability values, but underestimates their actual values by approximately one order-of-magnitude. This discrepancy in turn points to the potential importance of phenomena, which are currently not accounted for in the model and which tend to reduce the characteristic size of the prevailing polarization cells compared to the considered model, such as, for example, membrane polarization, contacts of double-layers of neighbouring grains, and incorrect estimation of the size of the polarized cells because of the irregularity of natural sand grains.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Koch¹,

Revil

Holliger³

2012

Geophysical Journal International

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“…As a result, the distribution of relaxation times is expected to be very broad. The importance of the Stern layer in the polarization processes of porous media has been underlined by many authors [see Revil and Florsch , 2010; Grosse , 2011, and references therein]. The polarization of this layer (called also the stagnant layer in electrochemistry) is central to my model.…”

Section: Complex Conductivitymentioning

confidence: 99%

Spectral induced polarization of shaly sands: Influence of the electrical double layer

Revil¹

2012

Water Resources Research

211

216

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[1] I developed a new model named POLARIS describing the complex conductivity of (pyrite-free) shaly poorly sorted sands. This model is based on the solution given by the effective medium theory for grains coated by an electrical double layer and immersed in a background electrolyte. The electrical double layer comprises the Stern layer and the diffuse layer. Both layers play very distinct roles in the in-phase and quadrature conductivities. The polarization of the shaly sands is mainly controlled by the polarization of the Stern layer (except at very high salinities) with a very small mobility of the counterions contained in this layer. The in-phase component of the conductivity is controlled by the conductivity of the pore water with a contribution associated with the diffuse layer (the contribution of the Stern layer seems negligible). The fraction of counterions in the Stern layer is computed from a simple sorption isotherm and is used to infer the quadrature conductivity. The quadrature conductivity is assumed to be frequency independent, which is a reasonable approximation in clayey sands and sandstones, in agreement with observations. The polarization model is also based on the assumption that the Stern layer is discontinuous between grains, an assumption that is consistent with recent models of ionic transport in clayey sands. POLARIS explains the dependence of the quadrature conductivity on the salinity, cation exchange capacity, specific surface area (or specific surface per unit pore volume), and temperature. It can be used to predict the saturation and the permeability (inside 1 order of magnitude).

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“…Induced polarization has a long history of use in colloidal chemistry and geophysics, and various petrophysical models have been developed over time to determine the relationship between the in-phase and quadrature conductivities and the texture of the material as well as the electrochemical properties of the mineral water interface [de Lima and Sharma, 1992;Grosse, 2011]. Recent work has focused on the development of a new model based on the polarization of the Stern layer to describe spectral induced polarization of clayey materials with simple supporting electrolytes (e.g., NaCl or KCl) [Revil and Florsch, 2010;Weller et al, 2011;Revil, 2012Revil, , 2013Revil et al, 2013aRevil et al, , 2013c.…”

Section: Introductionmentioning

confidence: 99%

“…[6] Spectral-induced polarization (SIP, complex conductivity) is a nonintrusive geophysical method that can be used to image contaminant plumes (Flores Orozco et al [2012]), to determine permeability [Revil and Florsch, 2010], and to monitor interfacial electrochemistry at the pore water mineral interface [Vaudelet et al, 2011a[Vaudelet et al, , 2011b. Induced polarization has a long history of use in colloidal chemistry and geophysics, and various petrophysical models have been developed over time to determine the relationship between the in-phase and quadrature conductivities and the texture of the material as well as the electrochemical properties of the mineral water interface [de Lima and Sharma, 1992;Grosse, 2011]. Recent work has focused on the development of a new model based on the polarization of the Stern layer to describe spectral induced polarization of clayey materials with simple supporting electrolytes (e.g., NaCl or KCl) [Revil and Florsch, 2010;Weller et al, 2011;Revil, 2012Revil, , 2013Revil et al, 2013aRevil et al, , 2013c].…”

Section: Introductionmentioning

confidence: 99%

Geochemical and geophysical responses during the infiltration of fresh water into the contaminated saprolite of the Oak Ridge Integrated Field Research Challenge site, Tennessee

Revil

Karaoulis

et al. 2013

Water Resources Research

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[1] At the Oak Ridge Integrated Field Research Challenge (IFRC) site, Tennessee, the saprolitic aquifer was contaminated by leaks from the former S-3 disposal ponds between 1951 and 1983. The chemistry of the contaminant plume is also episodically impacted by fresh meteoritic water infiltrating vertically from a shallow variably saturated perched zone and the ditch surrounding the former S-3 ponds. We performed a column experiment using saprolite from the contaminated aquifer to understand the geochemical and complex electrical conductivity signatures associated with such events. The changes in the pH and pore water ionic strength are responsible for measurable changes in both the in-phase and quadrature conductivities. The pore water conductivity can be related to the nitrate concentration (the main ionic species in the plume) while the release of uranium is controlled by the pH. We developed a simple model to determine the pore water conductivity and pH from the recorded complex conductivity. This model is applied to time-lapse resistivity data at the IFRC site. Time-lapse inversion of resistivity data, performed with an active time constrain approach, shows the occurrence of an infiltration event during the winter of 2008-2009 with a dilution of the pore water chemistry and an increase of the pH. A simple numerical simulation of the infiltration of fresh water into the unconfined contaminated aquifer is consistent with this scenario.

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Extension of a Classic Thin Double Layer Polarization Theory of Colloidal Suspensions to Include the Stagnant Layer Conductivity

Cited by 5 publications

References 15 publications

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Relating the permeability of quartz sands to their grain size and spectral induced polarization characteristics

Spectral induced polarization of shaly sands: Influence of the electrical double layer

Geochemical and geophysical responses during the infiltration of fresh water into the contaminated saprolite of the Oak Ridge Integrated Field Research Challenge site, Tennessee

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