Deviation of linear relation between streaming potential and pore fluid pressure difference in granular material at relatively high Reynolds numbers

Watanabe, Tohru; Katagishi, Yoshiko

doi:10.1186/bf03352609

Cited by 17 publications

(18 citation statements)

References 25 publications

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“…Although the measurement error prevents us to conduct precise determination of the specific surface conductivity like Revil and Glover [1998] and Revil et al [2002], we used equation (2) to deduce zeta potential on the assumption that true correction term is almost 1 (surface conductivity is not significant) and its deviation is caused by the measurement error. Many previous zeta potential measurements [ Lorne et al , 1999a; Guichet et al , 2003, 2006; Watanabe and Katagishi , 2006], which used similar grain size and electrolyte salinity supported negligibility of surface conductivity and validity of equation (2) in our experimental configuration (0.001 mol/L NaCl solution and 180–355 μm).…”

Section: Results Of Zeta Potential Experimentssupporting

confidence: 81%

“…Zeta potential values reported in many previous studies are much more variable and seem to be mutually contradicting. The state of flow may be one of the causes of these discrepancies [ Watanabe and Katagishi , 2006; Kuwano et al , 2006; Crespy et al , 2007]. However, from the viewpoint of experiments using many rock samples [ Jouniaux et al , 2000; Hase et al , 2003; this study], the zeta potential of volcanic rock is inherently variable.…”

Section: Results Of Zeta Potential Experimentsmentioning

confidence: 99%

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Zeta potential estimation of volcanic rocks on 11 island arc‐type volcanoes in Japan: Implication for the generation of local self‐potential anomalies

2008

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[1] From streaming potential measurements, we deduced the zeta potential of 73 volcanic rock samples collected in 11 volcanoes where self-potential (SP) surveys had also been conducted. Experiments with crushed rock samples and 0.001 mol/L NaCl solution showed a large variation in streaming potential coefficient, which ranged from À2860 to 2280 mV/MPa (deduced zeta potential ranged from À45.1 to 37.2 mV). Among the 73 samples, 9 samples showed positive values, and 11 samples showed small absolute values less than 10 mV. Even in a volcano, the zeta potential values of rocks were sometimes highly variable. To investigate the reason for the variation in zeta potential, we performed X-ray fluorescence (XRF) measurements on the rock samples. However, no significant correlations between zeta potential (or isoelectric point) and weight percentage of major elements were found, implying that the zeta potential of the volcanic rocks is not controlled by chemical composition but by mineralogical composition or crystalline structure. In volcanic areas, rocks with positive or small absolute values of zeta potential, which are considered to be unusual, frequently exist in areas along with local positive SP anomalies. Although positive SP anomalies are usually interpreted as an indication of hydrothermal upflow, this correlation suggests that in addition to the groundwater flow pattern, the polarity of zeta potential should also be considered for interpretation of SP data. Therefore, in cases where detailed zeta potential measurements have not been conducted, local positive SP anomalies should be interpreted with caution.Citation: Aizawa, K., M. Uyeshima, and K. Nogami (2008), Zeta potential estimation of volcanic rocks on 11 island arc-type volcanoes in Japan: Implication for the generation of local self-potential anomalies,

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Section: Results Of Zeta Potential Experimentssupporting

confidence: 81%

Section: Results Of Zeta Potential Experimentsmentioning

confidence: 99%

Zeta potential estimation of volcanic rocks on 11 island arc‐type volcanoes in Japan: Implication for the generation of local self‐potential anomalies

2008

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“…The influence of inertial flow upon electrokinetic coupling has been the subject of very few publications [see recently Watanabe and Katagishi , 2006 and references therein]. Gorelik [2004] used dimensional analysis to demonstrate that the effect of the Reynolds number corresponds to a multiplication of the Helmholtz‐Smoluchowski equation by an unspecified function of the Reynolds number.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Streaming potentials of granular media: Influence of the Dukhin and Reynolds numbers

et al. 2007

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[1] Laboratory experiments are performed to understand the controlling parameters of the electrical field associated with the seepage of water through a porous material. We use seven glass bead packs with varying mean grain size in an effort to obtain a standard material for the investigation of these electrical potentials. The mean grain size of these samples is in the range 56-3000 mm. We use pure NaCl electrolytes with conductivity in the range 10 À4 to 10 À1 S m À1 at 25°C. The flow conditions cover viscous and inertial laminar flow conditions but not turbulent flow. In the relationship between the streaming potential coupling coefficient and the grain size, three distinct domains are defined by the values of two dimensionless numbers, the Dukhin and the Reynolds numbers. The Dukhin number represents the ratio between the surface conductivity of the grains (due to conduction in the electrical double layer coating the surface of the grains) and the pore water electrical conductivity. At high Dukhin numbers ()1) and low Reynolds numbers ((1), the magnitude of the streaming potential coupling coefficient decreases with the increase of the Dukhin number and depends on the mean grain diameter (and therefore permeability) of the medium. At low Dukhin and Reynolds numbers ((1), the streaming potential coupling coefficient becomes independent of the microstructure and is given by the well-known Helmholtz-Smoluchowski equation widely used in the literature. At high Reynolds numbers, the magnitude of the streaming potential coupling coefficient decreases with the increase of the Reynolds number in agreement with a new model developed in this paper. A numerical application is made illustrating the relation between the self-potential signal and the intensity of seepage through a leakage in an embankment.

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“…Ag-AgCl electrodes were made as in Watanabe and Katagishi (2006). The PEEK end-piece has a hole and a circular slot on the sample side (Fig.…”

Section: Ultrasonic Velocity and Strain Measurements On Dry Samplesmentioning

confidence: 99%

Simultaneous measurements of elastic wave velocities and electrical conductivity in a brine-saturated granitic rock under confining pressures and their implication for interpretation of geophysical observations

Watanabe

Higuchi

2015

Prog. in Earth and Planet. Sci.

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Simultaneous measurements of elastic wave velocity and electrical conductivity in a brine-saturated granitic rock were conducted under confining pressures of up to 180 MPa. Contrasting changes in velocity and conductivity were observed. As the confining pressure increased to 50 MPa, compressional and shear wave velocities increased by less than 10 %. On the other hand, electrical conductivity decreased by an order of magnitude. Both changes must be caused by the closure of cracks under pressures. Microstructural examinations showed that most cracks were open grain boundaries. In reality, a crack is composed of many segments with different apertures. If crack segments have a similar length, segments with small apertures are closed at low pressures to greatly reduce conductivity, while those with wide apertures are open even at high pressures. The latter must form an interconnected fluid path to maintain the electrical conduction through fluid. A power law distribution of apertures causes a steep decrease in conductivity at low pressures. An empirical relation between the crack density parameter and normalized conductivity was obtained. The normalized conductivity is the ratio of bulk conductivity to the conductivity of a pore fluid. This relation should be a basis for quantitative interpretation of observed seismic velocity and electrical conductivity.

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Deviation of linear relation between streaming potential and pore fluid pressure difference in granular material at relatively high Reynolds numbers

Cited by 17 publications

References 25 publications

Zeta potential estimation of volcanic rocks on 11 island arc‐type volcanoes in Japan: Implication for the generation of local self‐potential anomalies

Zeta potential estimation of volcanic rocks on 11 island arc‐type volcanoes in Japan: Implication for the generation of local self‐potential anomalies

Streaming potentials of granular media: Influence of the Dukhin and Reynolds numbers

Simultaneous measurements of elastic wave velocities and electrical conductivity in a brine-saturated granitic rock under confining pressures and their implication for interpretation of geophysical observations

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