Hydrology and Earth System Sciences www.hydrol-earth-syst-sci.net 1027-5606 1607-7938 14 1 2010 10.5194/hess-14-91-2010 http://www.hydrol-earth-syst-sci.net/14/91/2010/ http://www.hydrol-earth-syst-sci.net/14/91/2010/hess-14-91-2010.html http://www.hydrol-earth-syst-sci.net/14/91/2010/hess-14-91-2010.pdf 91 98 2010-01-18 Thermal conductivity of unsaturated clay-rocks D. Jougnot A. Revil arevil@mines.edu Colorado School of Mines, Green Center, Dept. of Geophysics, Golden, CO 80401, USA ANDRA, 1–7 rue Jean Monnet, 92298 Chatenay-Malabry, France CNRS- LGIT (UMR 5559), University of Savoie, Equipe Volcan, Le Bourget-du-Lac, France now at: Institut of Geophysics, Amphipôle, UNIL, 1015 Lausanne, Switzerland The parameters used to describe the electrical conductivity of a porous material can be used to describe also its thermal conductivity. A new relationship is developed to connect the thermal conductivity of an unsaturated porous material to the thermal conductivity of the different phases of the composite, and two electrical parameters called the first and second Archie's exponents. A good agreement is obtained between the new model and thermal conductivity measurements performed using packs of glass beads and core samples of the Callovo-Oxfordian clay-rocks at different saturations of the water phase. We showed that the three model parameters optimised to fit the new model against experimental data (namely the thermal conductivity of the solid phase and the two Archie's exponents) are consistent with independent estimates. We also observed that the anisotropy of the effective thermal conductivity of the Callovo-Oxfordian clay-rock was mainly due to the anisotropy of the thermal conductivity of the solid phase. ANDRA: Dossier 2005 Argile-Référentiel du Site de Meuse/Haute-Marne, Rep. C.RP.ADS.04.0022, June 2005, ANDRA, Châtenay-Malabry, France, 2005a. ANDRA: Dossier 2005 Argile-Tome-Evolution phénoménologique du stockage géologique, Internal report ANDRA, 2005b. ANDRA: Dossier 2009 Argile, Referentiel du site de Meuse Haute-Marne, Internal report, 2009. Archie, G. E.: The electrical resistivity log as an aid in determining some reservoir characteristics, T. Am. I. Min. Met. Eng., 146, 54–62, 1942. Clauser, C. and E. Huenges: Thermal conductivity of rocks and minerals, in: Rocks Physics and Phase Relations: a handbook of physical constants, AGU Reference Shelf 3, edited by: Ahrens, T., American Geophysical Union, Washington, DC, USA, 105–126, 1995. Gaucher, E., Robelin, C., Matray, J. M., Negrel, G., Gros, Y., Heitz, J. F., Vinsot, A., Rebours, H., Cassabagnere, A., and Bouchet, A.: ANDRA underground research laboratory: interpretation of the mineralogical and geochemical data acquired in the Callovo-Oxfordian Formation by investigative drilling, Phys. Chem. Earth, 29, 55–77, doi:10.1016/j.pce.2003.11.006, 2004. Ghorbani, A., Cosenza, Ph., Revil, A., Zamora, M., Schmutz, M., Florsch, N., and Jougnot, D.: Non-invasive monitoring of water content and textural changes in clay-rocks using spectral induced polarization: A laboratory investigation, Appl. Clay Sci., 43, 493–502, doi:10.1016/j.clay.2008.12.007, 2009. Giraud A., Gruescu, C., Do, D. P., Homand, F., and Kondo, D.: Effective thermal conductivity of transversely isotropic media with arbitrary oriented ellipso\"ıdal inhomogeneities, Int. J. Solids Struct., 44(9), 2627–2647, 2007. Giroux, B. and Chouteau, M.: A hydrogeophysical synthetic model generator, Comput. Geosci., 34(9), 1080–1092, 2008. Gruescu, I. C., Giraud, A., Homand, F., Kondo, D., and Do, D. P.: Effective thermal conductivity of partially saturated rocks, Int. J. Solids Struct., 44, 811–833, doi:10.1016/j.ijsolstr, 2007. Homand, F.: Mesures thermiques sur le site est, Technical Report ANDRA, DRP0ENG 98-009/A, INPL-LAEGO, France, 1998. Jardani, A. and A. Revil: Stochastic joint inversion of temperature and self-potential data, Geophys. J. Int., 179(\refeq1), 640–654, doi:10.1111/j.1365-246X.2009.04295.x, 2009. Jougnot, D., Revil, A., and Leroy, P.: Diffusion of ionic tracers in the Callovo-Oxfordian clay-rock using the Donnan equilibrium model and the formation factor, Geochim. Cosmochim. Acta, 73, 2712–2726, 2009. Jougnot, D., Ghorbani, A., Revil, A., Leroy, P., and Cosenza, P.: Spectral Induced Polarization of partially saturated clay-rocks: A mechanistic approach, Geophys. J. Int., 180, 210–224, doi:10.1111/j.1365-246X.2009.04426.x, 2010. Kohout, M., Collier, A. P., and $\check\rm S$tep$\acute\rm a$nek, F.: Effective thermal conductivity of wet particle assemblies, Int. J. Heat Mass Tran., 47, 5565–5574, 2004. Kooi, H.: Spatial variability in subsurface warming over the last three decades; insight from repeated borehole temperature measurements in the Netherlands, Earth Planet. Sc. Lett., 270(1–2), 86–94, 2008. Kruschwitz S. and Yaramanci, U.: Detection and characterization of the disturbed rock zone in claystone with complex resistivity method, J. Appl. Geophys., 57, 63–79, doi:10.1016/j.jappgeo.2004.09.003, 2004. Kruschwitz S., personal communication, 2009. Leroy, P. and Revil, A.: Spectral induced polarization of clays and clay-rocks, J. Geophys. Res., 114, B10202, doi:10.1029/2008JB006114, 2009. Lesmes, D. P. and Friedman, S.: Relationships between the electrical and hydrogeological properties of rocks and soils, in: Hydrogeophysics, edited by: Rubin, Y. and Hubbard, S., Springer, New York, USA, 87–128, 2005. Linde, N., Binley, A., Tryggvason, A., Pedersen, L. B., and Revil, A.: Improved hydrogeophysical characterization using joint inversion of cross-hole electrical resistance and ground penetrating radar traveltime data, Water Resour. Res., 42, W12404, doi:10.1029/2006WR005131, 2006. Montes H. G., Duplay, J., Martinez, L., Escoffier, S., and Rousset, D.: Structural modifications of Callovo-Oxfordian argillite under hydration/dehydration conditions, Appl. Clay Sci., 25, 187–194, 2004. Revil, A.: Thermal conductivity of unconsolidated sediments with geophysical applications, J. Geophys. Res., 105(B7), 16 749–16 768, 2000. Revil, A., Leroy, P., and Titov, K.: Characterization of transport properties of argillaceous sediments. Application to the Callovo-Oxfordian Argillite, J. Geophys. Res., 110, B06202, doi:10.1029/2004JB003442, 2005. Revil, A. and Linde, N.: Chemico-electromechanical coupling in microporous media, J. Colloid Interface Sci., 302, 682–694, doi:10.1016/j.jcis.2006.06.051, 2006. Revil, A., Linde, N., Cerepi, A., Jougnot, D., Matthäi, S., and Finsterle, S.: Electrokinetic coupling in unsaturated porous media, J. Colloid Interf. Sci., 313, 315–327, doi:10.1016/j.jcis.2007.03.037, 2007. Schopper, J. R.: Electrical conductivity of rocks containing electrolytes, in: Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology, Group V, Physical Properties of Rocks, edited by: Hellwege, K.-H., vol. 1b, Springer-Verlag, Heidelberg, New York, 276–291, 1982. Schwartz, L.M. and Kimminau, S.: Analysis of electrical conduction in the grain consolidated model, Geophysics, 52, 1402–1411, 1987. Sen, P. N., Scala, C., and Cohen, M. H.: A self-similar model for sedimentary rocks withapplication to the dielectric constant of fused glass beads, Geophysics, 46, 781–795, 1981. Washburn, E. W.: Note on a Method of Determining the Distribution of Pore Sizes in a Porous Material, P. Natl. Acad0. Sci. USA, 7(\refeq4), 115–116, 1921. Yaramanci, U., Lange, G., and Hertrich, M.: Aquifer characterisation using Surface NMR jointly with other geophysical techniques at the Nauen/Berlin test site, J. Appl. Geophys., 50, 47–65, doi:10.1016/S0926-9851(02)00129-5, 2002.