1887
Volume 63, Issue 3
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Streaming‐potentials are produced by electrokinetic effects in relation to fluid flow and are used for geophysical prospecting. The aim of this study is to model streaming potential measurements for unsaturated conditions using an empirical approach. A conceptual model is applied to streaming potential measurements obtained from two drainage experiments in sand. The streaming potential data presented here show a non‐monotonous behaviour with increasing water saturation, following a pattern that cannot be predicted by existing models. A model involving quasi‐static and dynamic components is proposed to reproduce the streaming potential measurements. The dynamic component is based on the first time derivative of the driving pore pressure. The influence of this component is investigated with respect to fluid velocity, which is very different between the two experiments. The results demonstrate that the dynamic component is predominant at the onset of drainage in experiments with the slowest water flow. On the other hand, its influence appears to vanish with increasing drainage velocity. Our results suggest that fluid flow and water distribution at the pore scale have an important influence on the streaming potential response for unsaturated conditions. We propose to explain this specific streaming potential response in terms of the behaviour of both rock/water interface and water/air interfaces created during desaturation processes. The water/air interfaces are negatively charged, as also observed in the case of water/rock interfaces. Both the surface area and the flow velocity across these interfaces are thought to contribute to the non‐monotonous behaviour of the streaming potential coefficient as well as the variations in its amplitude. The non‐monotonous behaviour of air/water interfaces created during the flow was highlighted as it was measured and modelled by studies published in the literature. The streaming potential coefficient can increase to about 10 to 40 when water saturation decreases. Such an increase is possible if the amount of water/air interfaces is increased in sufficient amount, which can be the case.

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2015-01-09
2024-04-20
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References

  1. AbdelrahmanE., SolimanK., Abo‐EzzE. and EssaK.2009. Quantitative interpretation of self‐potential anomalies of some simple geometric bodies. Pure and Applied Geophysics166, 2021–2035.
    [Google Scholar]
  2. AdiatK., NawawiM. and AbdullahK.2013. Application of multi‐criteria decision analysis to geoelectric and geologic parameters for spatial prediction of groundwater resources potential and aquifer evaluation. Pure and Applied Geophysics170, 453–471.
    [Google Scholar]
  3. AhmadM.1964. A laboratory study of streaming potentials. Geophysical Prospecting7, 49–64.
    [Google Scholar]
  4. AllègreV., JouniauxL., LehmannF. and SailhacP.2010. Streaming Potential dependence on water‐content in fontainebleau sand. Geophysical Journal International182, 1248–1266.
    [Google Scholar]
  5. AllègreV., LehmannF., AckererP., JouniauxL. and SailhacP.2012. Modelling the streaming potential dependence on water content during drainage: 1. A 1D modelling of SP using finite element method. Geophysical Journal International189, 285–295.
    [Google Scholar]
  6. ArchieG.E.1942. The electrical resistivity log as an aid in determining some reservoir characteristics. Transactions of the American Institute of Mining and Metallurgical Engineers5(146), 54–62.
    [Google Scholar]
  7. BekriS., HowardJ., MullerJ. and AdlerP.2003. Electrical resistivity index in multiphase flow through porous media. Transport in Porous Media51, 41–65.
    [Google Scholar]
  8. BerkowitzB. and HansenD.2001. A numerical study of the distribution of water in partially saturated porous rock. Transport in Porous Media45, 303–319.
    [Google Scholar]
  9. BogoslovskyV.A. and OgilvyA.A.1972. Dilatancy, pore fluids, and premonitory variations of ts/tp travel times. Geophysical Prospecting20(1), 109–117.
    [Google Scholar]
  10. BrooksR.J. and CoreyA.T.1964. Hydraulic properties of porous media. Hydrology Papers3, 318–333.
    [Google Scholar]
  11. CantonM., AnschutzP., NaudetV., MolnarN., MouretA., FranceschiM.et al. 2010. Impact of solid waste disposal on nutrient dynamics in a sandy catchment. Journal of Contaminant Hydrology116, 1–15.
    [Google Scholar]
  12. CreuxP., LachaiseJ., GraciaaA. and BeattleJ.2007. Specific cation effects at the hydroxidecharged air/water interface. The Journal of Physical Chemistry C111, 3753–3755.
    [Google Scholar]
  13. CullJ.P.1985. Self potential and current channelling. Geophysical Prospecting, 33(3), 460–467.
    [Google Scholar]
  14. CulliganK., WildenschildD., ChristensenB., GrayW., RiversM. and TompsonA.2004. Interfacial area measurements for unsaturated flow through a porous medium. Water Resources Reasearch40, W12413.
    [Google Scholar]
  15. CulliganK., WildenschildD., ChristensenB., GrayW. and RiversM.2006. Pore‐scale characteristics of multiphase flow in porous media: A comparison of air‐water and oil‐water experiments. Advances in Water Resources, 29(1), 227–238.
    [Google Scholar]
  16. DavisJ. A., JamesR.O. and LeckieJ.1978. Surface ionization and complexation at the oxide/water interface. Journal of Colloid and Interface Science63, 480–499.
    [Google Scholar]
  17. Fernandez‐MartinezJ., Garcia‐GonzaloE. and NaudetV.2010. Particle swarm optimization applied to solving and appraising the streaming‐potential inverse problem. Geophysics75, WA3–WA15.
    [Google Scholar]
  18. FournierC.1989. Spontaneous potentials and resistivity surveys applied to hydrogeology in a volcanic area: case history of the chaine des puys (france). Geophysical Prospecting37, 647–668.
    [Google Scholar]
  19. GaoY. and HuH.2010. Seismoelectromagnetic waves radiated by a double couple source in a saturated porous medium. Geophysical Journal International181, 873–896.
    [Google Scholar]
  20. GibertD. and PesselM.2001. Identification of sources of potential fields with the continuous wavelet transform: Application to self‐potential profiles. Geophysical Research Letters28, 1863–1866.
    [Google Scholar]
  21. GraciaaA., MorelG., SaulnierP., LachaiseJ. and SchechterR.1995. Journal of Colloid and Interface Science172, 131.
    [Google Scholar]
  22. GuichetX., JouniauxL. and CatelN.2006. Modification of streaming potential by precipitation of calcite in a sand‐water system: laboratory measurements in the pH range from 4 to 12. Geophysical Journal International166, 445–460.
    [Google Scholar]
  23. GuichetX., JouniauxL. and PozziJ.‐P.2003. Streaming potential of a sand column in partial saturation conditions. Journal of Geophysical Research108(B3), 2141.
    [Google Scholar]
  24. HenryP., JouniauxL., ScreatonE.J., HunzeS. and SafferD.M.2003. Anisotropy of electrical conductivity record of initial strain at the toe of the Nankai accretionary wedge. Journal of Geophysical Research108, 2407.
    [Google Scholar]
  25. HunterR.1981. Zeta Potential in Colloid Science: Principles and Applications. Academic Press, New York.
    [Google Scholar]
  26. JacksonM.D.2008. Characterization of multiphase electrokinetic coupling using a bundle of capillary tubes model. Journal of Geophysical Research113, B04201.
    [Google Scholar]
  27. JacksonM.D.2010. Multiphase electrokinetic coupling: Insights into the impact of fluid and charge distribution at the pore scale from a bundle of capillary tubes model. Journal of Geophysical Research115, B07206.
    [Google Scholar]
  28. JougnotD. and LindeN.2013. Self‐potentials in partially saturated media: The importance of explicit modeling of electrode effects. Vadose Zone Journal12(2), 21.
    [Google Scholar]
  29. JouniauxL.2011. Electrokinetic techniques for the determination of hydraulic conductivity. In: Hydraulic Conductivity – Issues, Determination and Applications (ed L.Elango ). InTech Publisher. ISBN 978‐953‐307‐288‐3.
    [Google Scholar]
  30. JouniauxL. and IshidoT.2012. Electrokinetics in Earth sciences: a tutorial. International Journal of Geophysics2012, ID 286107.
    [Google Scholar]
  31. JouniauxL., LallemantS. and PozziJ.1994. Changes in the permeability, streaming potential and resistivity of a claystone from the Nankai prism under stress. Geophysical Research Letters21, 149–152.
    [Google Scholar]
  32. JouniauxL., MaineultA., NaudetV., PesselM. and SailhacP.2009. Review of self‐potential methods in hydrogeophysics. Comptes Rendus Geoscience341, 928–936.
    [Google Scholar]
  33. JouniauxL., PozziJ.‐P., BerthierJ. and MasséP.1999. Detection of fluid flow variations at the Nankai trough by electric and magnetic measurements in boreholes or at the seafloor. Journal of Geophysical Research104, 29293–29309.
    [Google Scholar]
  34. JouniauxL., ZamoraM. and ReuschléT.2006. Electrical conductivity evolution of nonsaturated carbonate rocks during deformation up to failure. Geophysical Journal International167, 1017–1026.
    [Google Scholar]
  35. KiltyK.T.1984. On the origin and interpretation of self‐potential anomalies. Geophysical Prospecting32(1), 51–62.
    [Google Scholar]
  36. KrögerB., YaramanciU. and KemnaA.2014. Numerical analysis of seismoelectric wave propagation in spatially confined geological units. Geophysical Prospecting62(1), 133–147.
    [Google Scholar]
  37. LehmannF. and AckererP.1998. Comparison of iterative methods for improved solutions of the fluid flow equation impartially saturated porous media. Transport in Porous Media31, 275–292.
    [Google Scholar]
  38. LenormandR.1989. Flow through porous media: limits of fractal patterns. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences423, 159–168.
    [Google Scholar]
  39. LenormandR., TouboulE. and ZarconeC.1988. Numerical models and experiments on immiscible displacement in porous media. Journal of Fluid Mechanics189, 165–187.
    [Google Scholar]
  40. LindeN., JougnotD., RevilA., MatthaiS.K., RenardD. and DoussanC.2007. Streaming current generation in two‐phase flow conditions. Geophysical Research Letters34, LO3306.
    [Google Scholar]
  41. LøvollG., MéheustY., ToussaintR., SchmittbuhlJ. and MåløyK.2004. Growth activity during fingering in a porous hele shaw cell. Physical Review E70, 026301.
    [Google Scholar]
  42. LøvollG., JankovM., MåløyK., ToussaintR., SchmittbuhlJ., SchäferG.et al. 2010. Influence of viscous fingering on dynamic saturation‐pressure curves in porous media. Transport in Porous Media86, 305–324.
    [Google Scholar]
  43. MaineultA., BernabéY. and AckererP.2004. Electrical response of flow, diffusion and advection in a laboratory sand box. Vadose Zone Journal3, 1180–1192.
    [Google Scholar]
  44. MaineultA., BernabéY. and AckererP.2005. Detection of advected concentration and ph fronts from self‐potential measurements. Journal of Geophysical Research110, B11205.
    [Google Scholar]
  45. MaineultA., StrobachE. and RennerJ.2008. Self‐potential signals induced by periodic pumping. Journal of Geophysical Research113, B01203.
    [Google Scholar]
  46. MauriG., Williams‐JonesG. and SaraccoG.2010. Depth determinations of shallow hydrothermal system by self‐potential and multi‐scale wavelet tomography. Journal of Volcanology and Geothermal Research191, 233–244.
    [Google Scholar]
  47. MbohC.M., HuismanJ.A., ZimmermannE. and VereeckenH.2012. Coupled hydrogeophysical inversion of streaming potential signals for unsaturated soil hydraulic properties. Vadose Zone Journal.
    [Google Scholar]
  48. MéheustY., LøvollG., MåløyK.J. and SchmittbuhlJ.2002. Interface scaling in a 2d porous medium under combined viscous, gravity and capillary effects. Physical Review E66, 51603–51615.
    [Google Scholar]
  49. MitaraiN. and NoriF.2006. Wet granular materials. Advances in Physics55, 1–50.
    [Google Scholar]
  50. MoreauF., GibertD., HolschneiderM. and SaraccoG.1997. Wavelet analysis of potential fields. Inverse Problems13, 165–178.
    [Google Scholar]
  51. MualemY.1976. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research12, 513–522.
    [Google Scholar]
  52. OnizawaS., MatsushimaN., IshidoT., HaseH., TakakuraS. and NishiY.2009. Selfpotential distribution on active volcano controlled by three‐dimensional resistivity structure in Izu‐oshima, Japan. Geophysical Journal International178, 1164–1181.
    [Google Scholar]
  53. OverbeekJ.T.G.1952. Electrochemistry of the double layer. In: Colloid Science, Irreversible Systems, Vol. 1 (ed H.R.Kruyt ), pp. 115–193. Elsevier.
    [Google Scholar]
  54. PainC., SaundersJ.H., WorthingtonM.H., SingerJ.M., Stuart‐BrugesC.W., MasonG.et al. 2005. A mixed finite‐element method for solving the poroelastic Biot equations with electrokinetic coupling. Geophysical Journal International160, 592–608.
    [Google Scholar]
  55. PerrierF. and MoratP.2000. Characterization of electrical daily variations induced by capillary flow in the non‐saturated zone. Pure and Applied Geophysics157, 785–810.
    [Google Scholar]
  56. PinettesP., BernardP., CornetF., HovhannissianG., JouniauxL., PozziJ.‐P.et al. 2002. On the difficulty of detecting streaming potentials generated at depth. Pure and Applied Geophyics159, 2629–2657.
    [Google Scholar]
  57. PozziJ.‐P. and JouniauxL.1994. Electrical effects of fluid circulation in sediments and seismic prediction. Comptes Rendus de l'Académie des Sciences Paris– Series II318(1), 73–77.
    [Google Scholar]
  58. ReevesP. and CeliaM.1996. A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore‐scale network model. Water Resources Research32, 2345–2358.
    [Google Scholar]
  59. RevilA., LindeN., CerepiA., JougnotD., MatthäiS. and FinsterleS.2007. Electrokinetic coupling in unsaturated porous media. Journal of Colloid and Interface Science313, 315–327.
    [Google Scholar]
  60. SaffmanP.G. and TaylorG.1958. The penetration of a fluid into a porous medium or hele‐shaw cell containing a more viscous liquid. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences245, 312–329.
    [Google Scholar]
  61. SailhacP., DarnetM. and MarquisG.2004. Electrical streaming potential measured at the ground surface: forward modeling and inversion issues for monitoring infiltration and characterizing the vadose zone. Vadose Zone Journal3, 1200–1206.
    [Google Scholar]
  62. SaraccoG., MoreauF., MathéP., HermitteD. and MichelJ.2007. Multiscale tomography of buried magnetic structures: its use in the localization and characterization of archeological structures. Geophysical Journal International171, 87–103.
    [Google Scholar]
  63. ScheelM., SeemannR., BrinkmannM., MichielM.D., SheppardA., BreidenbachB. and HerminghausS.2008. Morphological clues to wet granular pile stability. Nature Materials7.
    [Google Scholar]
  64. ShefferM. and OldenburgD.2007. Three‐dimensional modelling of streaming potential. International Journal of Geophysics169, 839–848.
    [Google Scholar]
  65. SindirgiP., PamukçuO. and ÖzyalinS.2008. Application of normalized full gradient method to self potential (sp) data. Pure and Applied Geophysics165, 409–427.
    [Google Scholar]
  66. SpruntE., MercerT. and DjabbarahN.1994. Streaming potential from multiphase flow. Geophysics, 59(5), 707–711.
    [Google Scholar]
  67. StrahserM., JouniauxL., SailhacP., MattheyP.‐D. and ZillmerM.2011. Dependence of seismoelectric amplitudes on water‐content. Geophysical Journal International187, 1378–1392.
    [Google Scholar]
  68. TakahashiM.2005. Zeta potential of microbubbles in aqueous solutions: electrical properties of the gas‐water interface. The Journal of Physical Chemistry B109, 21858–21864.
    [Google Scholar]
  69. TallakstadK., KnudsenH., RamstadT., LøvollG., MåløyK., ToussaintR.et al. 2009a. Steady‐state two‐phase flow in porous media: statistics and transport properties. Physical Review Letters102, 074502.
    [Google Scholar]
  70. TallakstadK., KnudsenH., RamstadT., LøvollG., MåløyK., ToussaintR.et al. 2009b. Steadystate, simultaneous two‐phase flow in porous media: An experimental study. Physical Review E, 80(3).
    [Google Scholar]
  71. TitovK., IlyinY., KonosavskiP. and LevitskiA.2002. Electrokinetic spontaneous polarization in porous media: petrophysics and numerical modelling. Journal of Hydrology, pp. 207–216.
    [Google Scholar]
  72. ToussaintR., LøvollG., MéheustY., MåløyK. and SchmittbuhlJ.2005. Influence of porescale disorder on viscous fingering during drainage. Europhysics Letter71, 583.
    [Google Scholar]
  73. ToussaintR., MåløyK., MéheustY., LøvollG., JankovM., SchäferG.et al. 2012. Two‐phase flow: structure and upscaling, consequences on macroscopic transport properties. Vadose Zone Journal11, vzj2011.0123.
    [Google Scholar]
  74. VinogradovJ. and JacksonM.2011. Multiphase streaming potential in sandstones saturated with gas/brine and oil/brine during drainage and imbibition. Geophysical Research Letters38, L01301.
    [Google Scholar]
  75. WardenS., GaramboisS., JouniauxL., BritoD., SailhacP. and BordesC.2013. Seismoelectric wave propagation numerical modeling in partially saturated materials. Geophysical Journal International194, 1498–1513.
    [Google Scholar]
  76. WardenS., GaramboisS., SailhacP., JouniauxL. and BanoM.2012. Curvelet‐based seismoelectric data processing. Geophysical Journal International190, 1533–1550.
    [Google Scholar]
  77. XieY., SherwoodJ., ShuiL., van den BergA. and EijkelJ.2010. Massive enhancement of streaming potential power by application of two‐phase flow. Proceedings Power MEMS, 127–130.
    [Google Scholar]
  78. YangC., DabrosT., LiD., CzarneckiJ. and MasliyahJ.2001. Measurement of the zeta potential of gas bubbles in aqueous solutions by microelectrophoresis method. Journal of Colloid and Interface Science243, 128–135.
    [Google Scholar]
  79. YeungA. and AkhtarA.2008. Simulation of electrical conduction in geomaterials by spice, Pure and Applied Geophysics165, 923–945.
    [Google Scholar]
  80. ZhuZ. and ToksözM.N.2013. Experimental measurements of the streaming potential and seismoelectric conversion in berea sandstone. Geophysical Prospecting61, 688–700.
    [Google Scholar]
  81. ZysermanF., GauzellinoP. and SantosJ.2010. Finite element modeling of SHTE and PSVTM electroseismics. Journal of Applied Geophysics72, 79–91.
    [Google Scholar]
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