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

Jougnot, Damien; Roubinet, Delphine; Guarracino, Luis; Maineult, Alexis

doi:10.1007/978-3-030-28909-6_4

Cited by 30 publications

(56 citation statements)

References 74 publications

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“…This approach neglects electrical surface conductivity on the mineral surface, nevertheless alternative formulas have been proposed by several researchers in order to account this effect (e.g., Morgan et al, 1989;Revil et al, 1999;Glover and Déry, 2010). On the other side, the second approach is more recent and focuses on the excess charge that is effectively dragged by the water flux in the pore space (e.g., Kormiltsev et al, 1998;Revil et al, 2007;Jougnot et al, 2012;Revil, 2017;Guarracino and Jougnot, 2018;Jougnot et al, 2020). In this approach, the streaming current can be expressed as the product between the effective excess charge density and the water flux velocity.…”

Section: Introductionmentioning

confidence: 99%

An effective excess charge model to describe hysteresis effects on streaming potential

Soldi

Guarracino

Jougnot

2020

Journal of Hydrology

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Streaming potentials are produced by the coupling between the water flow and the electrical current generated by the drag of electrical charges within the pore water of the media. This electrokinetic coupling is strongly influenced by the hydraulic properties that control groundwater flow (permeability, saturation and pressure head). Under unsaturated conditions, hydrogeologic studies have widely established that the relationships of permeability and saturation with pressure head are different for drainage and imbibition experiments. The hysteresis phenomenon present on these properties produces a hysteretic behaviour on the streaming potential which has been recently observed in experimental data. Hysteresis can be explained by the presence of irregularities in the pore geometry of the media which affects the water flow and, therefore, the excess charge density that is effectively dragged by the flow. In this study, we present a physically-based analytical model to describe the hysteresis phenomenon in the estimates of the effective excess charge density. Under the assumptions of a porous medium represented by a bundle of tortuous capillary tubes with throats and a fractal pore size distribution, hysteretic curves are obtained for the effective excess charge density as a function of pressure head using a flux averaging technique. These analytical expressions are closed-form and depend on the medium petrophysical and chemical properties. The predictions of the proposed model are consistent with laboratory data from drainage-imbibition experiments. These results open up exciting possibilities for studies involving water movement and processes in the vadose zone.

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Section: Introductionmentioning

confidence: 99%

An effective excess charge model to describe hysteresis effects on streaming potential

Soldi

Guarracino

Jougnot

2020

Journal of Hydrology

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“…where Σ s (S) the specific surface conductance and Λ (m) is a characteristic length scale [64]. Addition to the HS equation or modified HS equation, the SPCC can be expressed via the effective excess charge density dragged by pore water in porous media as [e.g., [42][43][44]…”

Section: Theory Of the Electrokinetic Couplingmentioning

confidence: 99%

“…(37) and Eq. (44), the relationship between the streaming potential coupling coefficient and effective charge density is obtained as…”

Section: Effective Excess Charge Densitymentioning

confidence: 99%

Predicting Electrokinetic Coupling and Electrical Conductivity in Fractured Media Using a Bundle of Tortuous Capillary Fractures

Thanh¹,

Jougnot²,

Độ³

et al. 2021

Preprint

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The electrokinetics methods have a great potential to characterize hydrogeological processes in geological media, especially in complex hydrosystems such as fractured formations. In this work, we conceptualize fractured media as a bunch of parallel capillary fractures following the fractal size distribution. This conceptualization permits to obtain analytical models for both the electrical conductivity and the electrokinetic coupling in water saturated fractured media. We explore two different approaches to express the electrokinetic coupling. First, we express the streaming potential coupling coefficient as a function of the zeta potential and then we obtain the effective charge density in terms of macroscopic hydraulic and electrokinetic parameters of porous media. We show that when the surface electrical conductivity is negligible, the proposed models reduces to the previously proposed one based on a bundle of cylindrical capillaries. This model opens up a wide range of applications to monitor the water flow in fractured media.

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“…We can also exclude that surface meltwater was generated throughout the whole season, given that we only expect significant meltwater in winter due to strong surface radiation caused by direct sunlight, which is often not present in case of cloud covers and limited on the north-facing slope of the Schilthorn. Blake and Clarke (1999) and Kulessa et al (2003) suggested electrochemical and streaming potentials as possible causes for diurnal variation. However, their potential measurements were explained with variations in electrical fluid conductivity and water pressure caused by periodic pressure and meltwater flows in a summertime glacier.…”

Section: Spectral Power Analysismentioning

confidence: 99%

“…Electrical signature changes were associated with changes in the water level of adjacent reservoir lakes, which in turn were related to vertical water movement in the soil. Kulessa et al (2003) present results from multi-year borehole SP measurements in a glacier, successfully relating electrical signals to water flow direction and velocity and investigating the separation of geochemically and hydraulically generated electrical signals. Other notable long-term monitoring studies include volcanic research, in which natural electrical signals are investigated as precursor signals to seismic activity.…”

Section: Introductionmentioning

confidence: 99%

A monitoring system for spatiotemporal electrical self-potential measurements in cryospheric environments

Weigand

Wagner

Limbrock

et al. 2020

Geosci. Instrum. Method. Data Syst.

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Abstract. Climate-induced warming increasingly leads to degradation of high-alpine permafrost. In order to develop early warning systems for imminent slope destabilization, knowledge about hydrological flow processes in the subsurface is urgently needed. Due to the fast dynamics associated with slope failures, non- or minimally invasive methods are required for inexpensive and timely characterization and monitoring of potential failure sites to allow in-time responses. These requirements can potentially be met by geophysical methods usually applied in near-surface geophysical settings, such as electrical resistivity tomography (ERT), ground-penetrating radar (GPR), various seismic methods, and self-potential (SP) measurements. While ERT and GPR have their primary uses in detecting lithological subsurface structure and liquid water/ice content variations, SP measurements are sensitive to active water flow in the subsurface. Combined, these methods provide huge potential to monitor the dynamic hydrological evolution of permafrost systems. However, while conceptually simple, the technical application of the SP method in high-alpine mountain regions is challenging, especially if spatially resolved information is required. We here report on the design, construction, and testing phase of a multi-electrode SP measurement system aimed at characterizing surface runoff and meltwater flow on the Schilthorn, Bernese Alps, Switzerland. Design requirements for a year-round measurement system are discussed; the hardware and software of the constructed system, as well as test measurements are presented, including detailed quality-assessment studies. On-site noise measurements and one laboratory experiment on freezing and thawing characteristics of the SP electrodes provide supporting information. It was found that a detailed quality assessment of the measured data is important for such challenging field site operations, requiring adapted measurement schemes to allow for the extraction of robust data in light of an environment highly contaminated by anthropogenic and natural noise components. Finally, possible short- and long-term improvements to the system are discussed and recommendations for future installations are developed.

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

Cited by 30 publications

References 74 publications

An effective excess charge model to describe hysteresis effects on streaming potential

An effective excess charge model to describe hysteresis effects on streaming potential

Predicting Electrokinetic Coupling and Electrical Conductivity in Fractured Media Using a Bundle of Tortuous Capillary Fractures

A monitoring system for spatiotemporal electrical self-potential measurements in cryospheric environments

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