Characterizing the streaming potential and electroosmosis properties of porous media is essential in applying seismoelectric and electroseismic phenomena for oil exploration. Some parameters such as porosity, permeability, formation factor, pore size, the number of pores, and the zeta potential of the samples can be obtained from elementary measurements. We performed streaming potential and electro-osmosis measurements for 6 unconsolidated samples made of spherical polymer particles. To check the validity of the measurements, we also used alternative analysis to determine the average pore size of the samples and, moreover, used a sample made of sand particles to determine the zeta potential. 1. Introduction Recently, seismoelectric and electroseismic conversions which arise due to the coupling of seismic waves and electromagnetic waves have been studied in order to investigate oil and gas reservoirs [1] or hydraulic reservoirs [2–4]. These phenomena have been used to deduce the depth and the geometry of the reservoir [5]. The coupling coefficients of conversion between electric wave and flow depend strongly on the fluid conductivity, porosity, permeability, formation factor, pore size, zeta potential of porous media, and other properties of the rock formation [6]. Therefore, determining these parameters is very important in studying electrokinetics in general and to model seismoelectric and electroseismic conversions. Li et al. [7] used two reciprocal electrokinetic phenomena known as streaming potential and electro-osmosis by Ac measurement to determine the effective pore size and permeability of porous media. In [8], the authors used image analysis to determine the number of pores per cross-sectional area of porous samples (see Figure 1 for the schematic of the porous medium with different length scales). This parameter is especially important in processes of contaminant removal from low-permeability porous media under a Dc electric field [8], and in building electro-osmosis micropumps [9]. Figure 1: Schematic of the porous medium with different length scales: sample scale, grain scale, and pore scale. However, the method used in [8] did not work for porous media with very small pores such as Bentonite clay soils or tight-gas sandstones (the pore radius is smaller than 1?μm) that are relevant for application in the oil and gas industry. In oil exploration and production, the typical pore sizes in rocks are necessary information for considering the location of oil and fluid flow through the rocks. The characteristics of porous media also determine
References
[1]
A. Thompson, S. Hornbostel, J. Burns, et al., “Field tests of electroseismic hydrocarbon detection,” SEG Technical Program Expanded Abstracts, vol. 24, p. 565, 2005.
[2]
S. S. Haines, A. Guitton, and B. Biondi, “Seismoelectric data processing for surface surveys of shallow targets,” Geophysics, vol. 72, no. 2, pp. G1–G8, 2007.
[3]
M. Strahser, L. Jouniaux, P. Sailhac, P.-D. Matthey, and M. Zillmer, “Dependence of seismoelectric amplitudes on water content,” Geophysical Journal International, vol. 187, no. 3, pp. 1378–1392, 2011.
[4]
S. Garambois and M. Dietrich, “Seismoelectric wave conversions in porous media: field measurements and transfer function analysis,” Geophysics, vol. 66, no. 5, pp. 1417–1430, 2001.
[5]
A. H. Thompson, J. R. Sumner, and S. C. Hornbostel, “Electromagnetic-to-seismic conversion: a new direct hydrocarbon indicator,” Leading Edge, vol. 26, no. 4, pp. 428–435, 2007.
[6]
S. Pride, “Governing equations for the coupled electromagnetics and acoustics of porous media,” Physical Review B, vol. 50, no. 21, pp. 15678–15696, 1994.
[7]
S. X. Li, D. B. Pengra, and P.-Z. Wong, “Onsager's reciprocal relation and the hydraulic permeability of porous media,” Physical Review E, vol. 51, no. 6, pp. 5748–5751, 1995.
[8]
T. Paillat, E. Moreau, P. O. Grimaud, and G. Touchard, “Electrokinetic phenomena in porous media applied to soil decontamination,” IEEE Transactions on Dielectrics and Electrical Insulation, vol. 7, no. 5, pp. 693–704, 2000.
[9]
S. Zeng, C.-H. Chen, J. C. Mikkelsen Jr., and J. G. Santiago, “Fabrication and characterization of electroosmotic micropumps,” Sensors and Actuators B, vol. 79, no. 2-3, pp. 107–114, 2001.
[10]
D. Bonn, S. Rodts, M. Groenink, S. Rafa?, N. Shahidzadeh-Bonn, and P. Coussot, “Some applications of magnetic resonance imaging in fluid mechanics: complex flows and complex fluids,” Annual Review of Fluid Mechanics, vol. 40, pp. 209–233, 2008.
[11]
P. W. J. Glover and E. Walker, “Grain-size to effective pore-size transformation derived from electrokinetic theory,” Geophysics, vol. 74, no. 1, pp. E17–E29, 2009.
[12]
R. J. Hunter, Zeta Potential in Colloid Science, Academic Press, New York, NY, USA, 1981.
[13]
P. W. J. Glover and M. D. Jackson, “Borehole electrokinetics,” The Leading Edge, vol. 29, no. 6, pp. 724–728, 2010.
[14]
F. C. Schoemaker, N. Grobbe, M. D. Schakel, S. A. L. de Ridder, E. C. Slob, and D. M. J. Smeulders, “Experimental validation of the electrokinetic theory and development of seismoelectric interferometry by cross-correlation,” International Journal of Geophysics, vol. 2012, Article ID 514242, 23 pages, 2012.
[15]
L. Jouniaux, M. L. Bernard, M. Zamora, and J. P. Pozzi, “Streaming potential in volcanic rocks from Mount Pelée,” Journal of Geophysical Research B, vol. 105, no. 4, pp. 8391–8401, 2000.
[16]
A. Boleve, A. Crespy, A. Revil, F. Janod, and J. L. Mattiuzzo, “Streaming potentials of granular media: influence of the Dukhin and Reynolds numbers,” Journal of Geophysical Research, vol. 112, no. 8, 2007.
[17]
F. Reuss, “Sur un nouvel effet de l'électricité galvanique,” Mémoires de la Societé Imperiale de Naturalistes de Moscou, vol. 2, pp. 327–336, 1809.
[18]
S. Yao and J. G. Santiago, “Porous glass electroosmotic pumps: theory,” Journal of Colloid and Interface Science, vol. 268, no. 1, pp. 133–142, 2003.
[19]
C. L. Rice and R. Whitehead, “Electrokinetic flow in a narrow cylindrical capillary,” Journal of Physical Chemistry, vol. 69, no. 11, pp. 4017–4024, 1965.
[20]
R. J. S. Brown, “Connection between formation factor for electrical resistivity and fluid-solid coupling factor in Biot's equations for acoustic waves in fluid-filled porous media,” Geophysics, vol. 45, no. 8, pp. 1269–1275, 1980.
[21]
J. G. M . van der Grinten, “Tortuosity measurement and its spin-off to a new electrical conductivity standard,” in Learned and Applied Soil Mechanics, F. B. J . Barends and P. M. P . C . Steijger, Eds., pp. 143–148, Taylor & Francis, New York, NY, USA, 2002.
[22]
S. F. Alkafeef and A. F. Alajmi, “Streaming potentials and conductivities of reservoir rock cores in aqueous and non-aqueous liquids,” Colloids and Surfaces A, vol. 289, no. 1, pp. 141–148, 2006.
[23]
D. R. Lide, CRC Handbook of Chemistry and Physics, CRC Press, New York, NY, USA, 2004.
[24]
D. H. Gray and J. K. Mitchell, “Fundamental aspects of electro-osmosis in soils,” Journal of the Soil Mechanics and Foundations Division, vol. 93, no. 6, pp. 209–236, 1967.
[25]
P. N. Sen, C. Scala, and M. H. Cohen, “A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads,” Geophysics, vol. 46, no. 5, pp. 781–795, 1981.
[26]
L. Jouniaux, “Electrokinetic techniques for the determination of hydraulic conductivity,” in Hydraulic Conductivity—Issues, Determination and Applications, L. Elango, Ed., InTech, 2011.
[27]
L. Jouniaux and T. Ishido, “Electrokinetics in earth sciences: a tutorial,” International Journal of Geophysics, vol. 2012, Article ID 286107, 16 pages, 2012.