Abstract
Coupled seismic and electromagnetic (EM) wave effects in fluid-saturated porous media are measured since decades. However, direct comparisons between theoretical seismoelectric wavefields and measurements are scarce. A seismoelectric full-waveform numerical model is developed, which predicts both the fluid pressure and the electric wavefields in a fluid in which a porous disc is embedded. An experimental setup, in which pressure and electric signals in the fluid are simultaneously measured, is presented. The setup allows the detection of the EM field that is generated when an acoustic wave crosses the interface between the fluid and the thin porous disc, without interference of electrical fields that are present within seismic body waves. The predicted pressure wavefield agrees well with the measurements in terms of acoustic wave travel times, waveforms, and amplitudes. The electric wavefield predictions agree with the recordings in terms of travel times, waveforms, and spatial amplitude decay. A discrepancy in amplitude of the converted EM signal is observed. Theoretical amplitudes that are smaller than the measurements were also reported in previous literature. These results seem to validate seismoelectric theory.
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Aki K., Richards P.G.: Quantitative Seismology. University Science Books, Sausalito (2002)
Block, G.I., Harris, J.G.: Conductivity dependence of seismoelectric wave phenomena in fluid-saturated sediments. J. Geophys. Res. 111 (2006). doi:10.1029/2005JB003798
Bordes, C., Jouniaux, L., Dietrich, M., Pozzi, J.-P., Garambois, S.: First laboratory measurements of seismo-magnetic conversions in fluid-filled Fontainebleau sand. Geophys. Res. Lett. 33 (2006). doi:10.1029/2005GL024582
Bordes C., Jouniaux L., Garambois S., Dietrich M., Pozzi J.-P., Gaffet S.: Evidence of the theoretically predicted seismo-magnetic conversion. Geophys. J. Int. 174, 489–504 (2008)
Brekhovskikh L.M.: Waves in Layered Media. Academic press, Bristol (1960)
Butler K.E., Russell R.D., Kepic A.W., Maxwell M.: Measurement of the seismoelectric response from a shallow boundary. Geophysics 61, 1769–1778 (1996)
Dupuis J.C., Butler K.E., Kepic A.W.: Seismoelectric imaging of the vadose zone of a sand aquifer. Geophysics 72, A81–A85 (2007)
Dupuis, J.C., Butler, K.E., Kepic, A.W., Harris, B.D.: Anatomy of a seismoelectric conversion: Measurements and conceptual modeling in boreholes penetrating a sandy acquifer. J. Geophys. Res. 114 (2009). doi:10.1029/2008JB005939
Garambois S., Dietrich M.: Seismoelectric wave conversions in porous media: field measurements and transfer function analysis. Geophysics 66, 1417–1430 (2001)
Garambois, S., Dietrich, M.: Full waveform numerical simulations of seismoelectromagnetic wave conversions in fluid-saturated stratified porous media. J. Geophys. Res. 107 (2002). doi:10.1029/2001JB000316
Haartsen M.W., Pride S.R.: Electroseismic waves from point sources in layered media. J. Geophys. Res. 102, 24745–24769 (1997)
Haines S.S., Pride S.R.: Seismoelectric numerical modeling on a grid. Geophysics 71, N57–N65 (2006)
Haines S.S., Pride S.R., Klemperer S.L., Biondi B.: Seismoelectric imaging of shallow targets. Geophysics 72, G9–G20 (2007)
Hall D.E.: Basic Acoustics. Wiley, Singapore (1987)
Jardani A., Revil A., Slob E., Söllner W.: Stochastic joint inversion of 2D seismic and seismoelectric signals in linear poroelastic materials: a numerical investigation. Geophysics 75, N19–N31 (2010)
Jocker J., Smeulders D.: Ultrasonic measurements on poroelastic slabs: determination of reflection and transmission coefficients and processing for Biot input parameters. Ultrasonics 49, 319–330 (2009)
Johnson D.L., Plona T.J.: Acoustic slow waves and the consolidation transition. J. Acoust. Soc. Am. 72, 556–565 (1982)
Johnson D.L., Koplik J., Dashen R.: Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Mech. 176, 379–402 (1987)
Johnson D.L., Hemmick D.L., Kojima H.: Probing porous media with first and second sound. I. Dynamic permeability. J. Appl. Phys. 76, 104–114 (1994)
Lide, D.R. (ed.): CRC Handbook of Chemistry and Physics, 90th Edn. (Internet Version 2010). CRC Press/Taylor and Francis. http://www.hbcpnetbase.com/ (2010). Accessed 30 Aug 2010
Long L.T., Rivers W.K.: Field measurement of the electroseismic response. Geophysics 40, 233–245 (1975)
Mikhailov O.V., Haartsen M.W., Toksöz M.N.: Electroseismic investigation of the shallow subsurface: field measurements and numerical modeling. Geophysics 62, 97–105 (1997)
Mikhailov O.V., Queen J., Toksöz M.N.: Using borehole electroseismic measurements to detect and characterize fractured (permeable) zones. Geophysics 65, 1098–1112 (2000)
Pride S.: Governing equations for the coupled electromagnetics and acoustics of porous media. Phys. Rev. B 50, 15678–15696 (1994)
Pride S.R., Garambois S.: Electroseismic wave theory of Frenkel and more recent developments. J. Eng. Mech. 131, 898–907 (2005)
Pride S.R., Haartsen M.W.: Electroseismic wave properties. J. Acoust. Soc. Am. 100, 1301–1315 (1996)
Pride S.R., Garambois S.: The role of Biot slow waves in electroseismic wave phenomena. J. Acoust. Soc. Am. 111, 697–706 (2002)
Reppert P.M., Morgan F.D., Lesmes D.P., Jouniaux L.: Frequency-dependent streaming potentials. J. Colloid Interface Sci. 234, 194–203 (2001)
Revil A., Jardani A.: Seismoelectric response of heavy oil reservoirs: theory and numerical modelling. Geophys. J. Int. 180, 781–797 (2010)
Revil A., Linde N.: Chemico-electromechanical coupling in microporous media. J. Colloid Interface Sci. 302, 682–694 (2006)
Schakel M., Smeulders D.: Seismoelectric reflection and transmission at a fluid/porous-medium interface. J. Acoust. Soc. Am. 127, 13–21 (2010)
Schakel, M.D., Smeulders, D.M.J., Slob, E.C., Heller, H.K.J.: Laboratory measurements and theoretical modeling of seismoelectric interface response and coseismic wave fields. J. Appl. Phys. 109, 074903 (2011a). doi:10.1063/1.3567945
Schakel M.D., Smeulders D.M.J., Slob E.C., Heller H.K.J.: Seismoelectric interface response: experimental results and forward model. Geophysics 76, N29–N36 (2011b)
Schoemaker, F.C.: Electrokinetic conversion. PhD thesis, Delft University of Technology (2011)
Thompson A.H., Gist G.A.: Geophysical applications of electrokinetic conversion. Lead. Edge 12, 1169–1173 (1993)
van der Lee, C.J.: A comprehensive study of transmission and reflection phenomena in water-saturated porous slabs. M.Sc. thesis, Delft University of Technology (2003)
Zhu Z., Haartsen M.W., Toksöz M.N.: Experimental studies of electrokinetic conversions in fluid-saturated borehole models. Geophysics 64, 1349–1356 (1999)
Zhu Z., Haartsen M.W., Toksöz M.N.: Experimental studies of seismoelectric conversions in fluid-saturated porous media. J. Geophys. Res. 105, 28055–28064 (2000)
Zhu Z., Toksöz M.N.: Crosshole seismoelectric measurements in borehole models with fractures. Geophysics 68, 1519–1524 (2003)
Zhu Z., Toksöz M.N.: Seismoelectric and seismomagnetic measurements in fractured borehole models. Geophysics 70, F45–F51 (2005)
Acknowledgments
This research was funded as a Shell-FOM (Fundamental Research on Matter) project within the research program “The physics of fluids and sound propagation”. MDS thanks Jolanda van Haagen for technical support and Zhenya Zhu, Gabriel Chao, Bobby Hak, Christiaan Schoemaker and Karel van Dalen for valuable discussions. We thank an anonymous reviewer for in-depth comments and André Revil for the discussion on electrokinetic theory.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Schakel, M.D., Smeulders, D.M.J., Slob, E.C. et al. Seismoelectric Fluid/Porous-Medium Interface Response Model and Measurements. Transp Porous Med 93, 271–282 (2012). https://doi.org/10.1007/s11242-011-9869-8
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DOI: https://doi.org/10.1007/s11242-011-9869-8