Modelling of Maxwell–Wagner induced polarisation amplitude for clayey materials

Tabbagh, Alain; Cosenza, Philippe; Ghorbani, Ahmad; Guérin, Roger; Florsch, Nicolás

doi:10.1016/j.jappgeo.2008.10.002

Cited by 20 publications

(17 citation statements)

References 24 publications

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“…Numerous mechanisms are able to generate the observed effects. The most involved mechanisms are (i) electrochemical polarization that corresponds to reversible electrochemical and diffusion processes (Zonge, 1972;Luo and Zhang, 1998) which take place at low frequency, and (ii) interfacial polarization mechanisms, which is also called MaxwellWagner polarization (Vinegar and Waxman, 1984;Lesmes and Morgan, 2001;Tabbagh et al, 2009) take place at higher frequencies (generally over 1 kHz). Among the models used to study these mechanisms, electrical circuit analog which consists of resistors and capacitances are found useful.…”

Section: Introductionmentioning

confidence: 99%

Assessing the high frequency behavior of non-polarizable electrodes for spectral induced polarization measurements

Abdulsamad

Florsch

Schmutz

et al. 2016

Journal of Applied Geophysics

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During the last decades, the usage of spectral induced polarization (SIP) measurements in hydrogeology and detecting environmental problems has been extensively increased. However, the physical mechanisms which are responsible for the induced polarization response over the usual frequency range (typically 1 mHz to 10-20 kHz) require better understanding. The phase shift observed at high frequencies is sometimes attributed to the so-called Maxwell-Wagner polarization which takes place when charges cross an interface. However, SIP measurements of tap water show a phase shift at frequencies higher than 1 kHz, where no Maxwell-Wagner polarization may occur. In this paper, we enlighten the possible origin of this phase shift and deduce its likely relationship with the types of the measuring electrodes. SIP Laboratory measurements of tap water using different types of measuring electrodes (polarizable and non-polarizable electrodes) are carried out to detect the origin of the phase shift at high frequencies and the influence of the measuring electrodes types on the observed complex resistivity. Sodium chloride is used to change the conductivity of the medium in order to quantify the solution conductivity role. The results of these measurements are clearly showing the impact of the measuring electrodes type on the measured phase spectrum while the influence on the amplitude spectrum is negligible. The phenomenon appearing on the phase spectrum at high frequency (N 1 kHz) whatever the electrode type is, the phase shows an increase compared to the theoretical response, and the discrepancy (at least in absolute value) increases with frequency, but it is less severe when medium conductivity is larger. Additionally, the frequency corner is shifted upward in frequency. The dependence of this phenomenon on the conductivity and the measuring electrodes type (electrode-electrolyte interface) seems to be due to some dielectric effects (as an electrical double layer of small relaxation time formed at the electrodes interface). Therefore, this dielectric response should be taken into account at high frequency to better analytically separate the medium own response from that linked to the measuring electrodes used. We modeled this effect by adding a capacitance connected in parallel with the traditional equivalent electric circuit used to describe the dielectric response of medium.

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Section: Introductionmentioning

confidence: 99%

Assessing the high frequency behavior of non-polarizable electrodes for spectral induced polarization measurements

Abdulsamad

Florsch

Schmutz

et al. 2016

Journal of Applied Geophysics

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“…During the last few years, several works have been done in using spectral induced polarization to study the properties of clay‐rocks (Kruschwitz & Yaramanci 2004; Cosenza et al 2008; Tabbagh et al 2009). These works were motivated by the use of the spectral induced polarization method to study nuclear waste disposals (Kruschwitz & Yaramanci 2004; Pusch 2006) and generally speaking to study the role of clay barriers for the confinement of different types of hazardous materials.…”

Section: Introductionmentioning

confidence: 99%

Spectral induced polarization of partially saturated clay-rocks: a mechanistic approach

Jougnot

Ghorbani

Revil

et al. 2010

Geophysical Journal International

131

151

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International audienceWe have developed a mechanistic model to interpret spectral induced polarization data of partially saturated clay-rocks. This model accounts for the polarization of the grains through an electrical double layer model with a polarization model of the inner part of the electrical double layer called the Stern layer. The polarization model accounts also for the Maxwell-Wagner polarization at frequencies higher than 100 Hz. The Maxwell-Wagner polarization is modelled by using a conductivity model modified to account for the presence of a non-wetting immiscible phase like air in the pore space. The resulting model is consistent with the first and second Archie's laws in the case where surface conductivity can be neglected. The volumetric charge density of the diffuse layer at saturation is divided by the saturation of the water phase to account for the partial water saturation of the porous material. The model comprises seven fundamental parameters: the formation factor, the second Archie's exponent, a critical water saturation level, the mean electrical potential of the pore space at saturation, the density of the counterions in the Stern layer, and at least two parameters describing the grain size distribution. Most of these parameters can be derived independently using alternative measurements and electrochemical models. Measurements were performed in the frequency range 10 mHz-45 kHz using five samples from the Callovo-Oxfordian formation in the eastern part of the Paris Basin, France. The model agrees fairly well with the experimental data at saturation and for partially saturated clay-rocks down to 1 Hz. Most of the seven physical parameters entering the model were independently evaluated

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“…These properties are associated with diffusion-controlled polarization processes that occur at the mineral-fluid interface (Slater and Lesmes, 2002). The IP phenomenon is often observed in media with electrical resistivities typically lying between 50 and 100 m (the most common values for soils; see Michot et al, 2003) and containing a significant but non-dominant clay phase (Tabbagh et al, 2009). Usually, DC resistivity and IP are used jointly in order to discriminate between materials displaying a comparable signature in resistivity (e.g.…”

Section: Introductionmentioning

confidence: 99%

Application of time domain induced polarization to the mapping of lithotypes in a landfill site

Gazoty

Fiandaca

Pedersen

et al. 2012

Hydrol. Earth Syst. Sci.

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Abstract. A direct current (DC) resistivity and time domain induced polarization (TDIP) survey was undertaken at a decommissioned landfill site situated in Hørløkke, Denmark, for the purpose of mapping the waste deposits and to discriminate important geological units that control the hydrology of the surrounding area. It is known that both waste deposits and clay have clear signatures in TDIP data, making it possible to enhance the resolution of geological structures compared to DC surveys alone. Four DC/TDIP profiles were carried out crossing the landfill, and another seven profiles in the surroundings provide a sufficiently dense coverage of the entire area. The whole dataset was inverted using a 1-D laterally constrained inversion scheme, recently implemented for TDIP data, in order to use the entire decay curves for reconstructing the electrical parameters of the soil in terms of the Cole-Cole polarization model. Results show that it is possible to resolve both the geometry of the buried waste body and key geological structures. In particular, it was possible to find a silt/clay lens at depth that correlates with the flow direction of the pollution plume spreading out from the landfill and to map a shallow sandy layer rich in clay that likely has a strong influence on the hydrology of the site. This interpretation of the geophysical findings was constrained by borehole data, in terms of geology and gamma ray logging. The results of this study are important for the impact of the resolved geological units on the hydrology of the area, making it possible to construct more realistic scenarios of the variation of the pollution plume as a function of the climate change.

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Modelling of Maxwell–Wagner induced polarisation amplitude for clayey materials

Cited by 20 publications

References 24 publications

Assessing the high frequency behavior of non-polarizable electrodes for spectral induced polarization measurements

Assessing the high frequency behavior of non-polarizable electrodes for spectral induced polarization measurements

Spectral induced polarization of partially saturated clay-rocks: a mechanistic approach

Application of time domain induced polarization to the mapping of lithotypes in a landfill site

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