Skip to main content
SpringerLink
Log in

Thermodiffusion in Porous Media and Its Consequences

  • Chapter
  • First Online:
Thermal Nonequilibrium Phenomena in Fluid Mixtures

Part of the book series: Lecture Notes in Physics ((LNP,volume 584))

Abstract

This contribution presents a synthesis of experimental, theoretical and numerical studies performed on thermodiffusion and thermodiffusion-convection transport in porous media.

The study of thermodiffusion in heterogeneous domains is fostered by the potential implications of this coupled transport phenomenon in the in situ differentiation of geochemical fluids (concentration of natural oils, promotion of ore genesis, fractionation of isotopes). The technological simplifications brought by the introduction of synthetic porous media in the thermodiffusion columns of laboratory or industrial use is another reason for investigating thermodiffusion in discrete systems.

A review of published and original laboratory data on the thermodiffusive behaviour of selected inorganic and organic binary and of multicomponent mixtures is exposed here. A phenomenological scheme using the formalism of Irreversible Thermodynamics and the macroscopic description of the porous system is proposed and non-linear developments are suggested to account for the dispersive feature of thermodiffusion transport. Data and original equations are evaluated in a numerical model with reasonable success and compared to other existing analytical and numerical approaches.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. C. Ludwig: Akad. Wiss. Wien, Math. Naturwiss., 20, 539 1856

    Google Scholar 

  2. Ch. Soret: Arch. Sci. Phys. Nat. Genève, 2, 48 (1879)

    Google Scholar 

  3. I. Prigogine: Etude Thermodynamique des Phénom`enes Irréversibles. (Dunod et Desoer 1947)

    Google Scholar 

  4. S.R. De Groot, P. Mazur: Non-equilibrium Thermodynamics. (North-Holland, Amsterdam 1961)

    Google Scholar 

  5. F. Fer: Thermodynamique Macroscopique: Systèmes Ouverts. (Gordon and Breach, London 1971)

    Google Scholar 

  6. K. Clusius, G. Dickel: Naturwiss., 6, 546 (1938)

    Article  ADS  Google Scholar 

  7. K. Clusius, G. Dickel: Naturwiss., 27, 148 (1939).

    ADS  Google Scholar 

  8. P. Debye: Ann. Phys., 36, 284 (1939)

    Article  MATH  Google Scholar 

  9. W.H. Furry, R.C. Jones, L. Onsager: Phys. Rev., 55, 1083 (1939)

    Article  MATH  ADS  Google Scholar 

  10. R.C. Jones, W.H. Furry: Rev. Mod. Phys., 18, 151 (1946)

    Article  ADS  Google Scholar 

  11. P. Debye: Method of an apparatus for effecting thermodiffusion, U.S. Patent No 567 (1951)

    Google Scholar 

  12. L.J. Sullivan, T.C. Ruppel, C.B. Willingham: Ind. Eng. Chem., 49, 110 (1957)

    Article  Google Scholar 

  13. M. Lorenz, A.H. Emery: Chem. Eng. Sci., 11, 16 (1959)

    Article  Google Scholar 

  14. V. Sanchez, P. Brugel, M. Sagnes: J. Chim. Phys., 69, 931 (1972)

    Google Scholar 

  15. V. Sanchez, M. Sagnes, P. Brugel: Chem. Eng. Science, 28, 759 (1973)

    Article  Google Scholar 

  16. V. Sanchez: La diffusion thermique et son application au fractionnement des mélanges binaires. PhD Thesis no 677, (Université Paul-Sabatier, Toulouse 1975)

    Google Scholar 

  17. V. Sanchez, L. Estaque: Chem. Eng. Science, 29, 2283 (1974)

    Article  Google Scholar 

  18. W. Wahl: Am. J. Sci., 244, 6, 417 (1946)

    Article  Google Scholar 

  19. J. Schott: Bull. Min., 106, 247 (1983)

    Google Scholar 

  20. C.R. Carrigan, R.T. Cygan, J. Geophys. Res., 91(11), 451 (1986)

    Article  Google Scholar 

  21. J. Estèbe, J. Schott: C.R. Acad. Sci. D, 272, 905 (1971)

    Google Scholar 

  22. P. Costesèque, J. Schott: C.R. Acad. Sci. D, 282, 1913 (1976)

    Google Scholar 

  23. P. Costesèque: Bull. Min., 108, 305 (1985)

    Google Scholar 

  24. R.O. Fournier: Geothermics, 19, 481 (1990)

    Article  Google Scholar 

  25. P. Costesèque, M. Hridabba, J. Sahores: C.R. Acad. Sc., Paris, 304 II, 1069 (1987)

    Google Scholar 

  26. P. Costesèque, M. El Maâtaoui, J. Sahores: C.R. Acad. Sc., Paris, 305 II, 1531 (1987)

    Google Scholar 

  27. P. Costesèque, E. Rivière: C.R. Acad. Sc., Paris, 315 IIa, 179 (1992)

    Google Scholar 

  28. P. Costesèque, M. El Maâtaoui, E. Rivière: Entropie, 184–185, 94 (1994)

    Google Scholar 

  29. P. Costesèque, M. El Maâtaoui: Entropie, 184–185, 101 (1994)

    Google Scholar 

  30. P. Costesèque, M. El Maâtaoui, J. Plique: C.R. Acad. Sci. IIa, 320, 265 (1995)

    Google Scholar 

  31. B. Faissat, F. Montel: Entropie, 32, 198, 107 (1996)

    Google Scholar 

  32. D.T.J. Hurle, E. Jakeman: J. Fluid Mech., 47, 667 (1971)

    Article  ADS  Google Scholar 

  33. R.S. Schechter, I. Prigogine, J.R. Hamm: Phys. Fluids, 15, 379 (1972)

    Article  MATH  ADS  Google Scholar 

  34. J.C. Legros, P. Goemaere, J.K. Platten: Phys. Rev. A, 32, 1903 (1985)

    Article  ADS  Google Scholar 

  35. H. Brand, V. Steinberg: Physica, 119A, 327 (1983).

    ADS  MathSciNet  Google Scholar 

  36. P. Costesèque, Ph. Jamet: Entropie, 198–199, 119 (1996)

    Google Scholar 

  37. J.C. Legros, P. Poty, G. Thomaes: Physica, 64, 481 (1973)

    Article  ADS  Google Scholar 

  38. S. Van Vaerenbergh, J.C. Legros, J.Ch. Dupin: Adv. Space. Res., 16, 69 (1995)

    Article  ADS  Google Scholar 

  39. O. Lhost, J.K. Platten: Phys. Rev. A, 40, 4552 (1989)

    Article  ADS  Google Scholar 

  40. M. Bou-Ali, O. Ecenarro, J.A. Madariaga, C.M. Santamaria, J.J. Valencia: J. Phys. Cond. Matter, 10 (15), 3321 (1998)

    Article  ADS  Google Scholar 

  41. S.R. De Groot: J. Phys. Radium, 8, 129 (1947)

    Article  Google Scholar 

  42. P. Costesèque: Sur la migration sélective des isotopes et des éléments par thermodiffusion dans les solutions. Application de l’effet thermogravitationnel en milieu poreux; observations expérimentales et conséquences géochimiques, Doctoral Thesis no 1049, Université Paul Sabatier, Toulouse (1982)

    Google Scholar 

  43. A.D. Payton, J.C.R. Turner: Trans Faraday Soc., 58, 55 (1962)

    Article  Google Scholar 

  44. K.F. Alexander: Zs. Phys. Chem., 203 A, 181 (1954)

    Google Scholar 

  45. M. El Maâtaoui: Conséquences de la thermodiffusion en milieu poreux sur l’hydrolyse des solutions de chlorures ferriques et sur les migrations d’hydrocarbures dans des mélanges de n-alcanes et dans un pétrole brut; implications géochimiques. Thèse de 3e cycle, (Université Paul Sabatier, Toulouse 1986)

    Google Scholar 

  46. J. Estèbe: Etude de l’effet thermogravitationnel en milieu poreux. PhD Thesis, no 240, Paul Sabatier University, Toulouse (1973)

    Google Scholar 

  47. V. Sanchez, C. Guiglion, J. Mahenc: Chem. Eng. Science, 28, 751 (1973)

    Article  Google Scholar 

  48. I. Prigogine, L. de Brouckere, R. Buess, Physica, 18, 915 (1952)

    Article  ADS  Google Scholar 

  49. E. Rivière: Sur la migration des composés hydrocarbonés dans les mélanges complexes (huiles naturelles) par diffusion thermogravitationnelle en milieu poreux. Etude expérimentale et état des modélisations. PhD Thesis, (Université Paul Sabatier, Toulouse 1991)

    Google Scholar 

  50. P. Costesèque, J.C. Loubet: Entropie, 214, 53 (1998)

    Google Scholar 

  51. P. Costesèque, M. El Maâtaoui, J.C. Garrigues: Entropie, 198–199, 15 (1996)

    Google Scholar 

  52. Ph. Jamet, P. Costesèque, D. Fargue: Chemical Engineering Science, 51, 4463 (1996)

    Article  Google Scholar 

  53. L. J. Kempers: J. Chem. Phys., 90, pp. 6541 (1989)

    Article  ADS  Google Scholar 

  54. A. Firoozabadi, B. Dindoruk, E. Chang: Entropie, 198/199, 109 (1996)

    Google Scholar 

  55. A.A. Shapiro, E.H. Stenby: Entropie, 217, 55 (1999)

    Google Scholar 

  56. K. Ghorayeb, A. Firoozabadi: A. I. Ch. E. Journal, 46, 883 (2000)

    Google Scholar 

  57. K. Ghorayeb, A. Firoozabadi: S. P. E. Journal, 5, 158 (2000)

    Google Scholar 

  58. A. Firoozabadi, K. Ghorayeb, K. Shulka: A. I. Ch. Journal, 46, 892 (2000)

    Google Scholar 

  59. M. El Maâtaoui: Migration sélective des hydrocarbures dans les fluides pétroliers par diffusion thermogravitationnelle en milieu poreux. Conséquences possibles sur la stratification des espéces dans les réservoirs naturels, PhD Thesis, (Université Paul Sabatier, Toulouse 1995)

    Google Scholar 

  60. J. Bear: Dynamics of fluids in porous media, (American Elsevier, N-Y 1972).

    MATH  Google Scholar 

  61. P. Adler: Porous media: geometry and transport, (Butterworths-Heinemann, 1992)

    Google Scholar 

  62. P.H. Groenevelt, G.H. Bolt: J. of Hydrology, 7, 358–388 (1969)

    Article  ADS  Google Scholar 

  63. O.A. Plumb, S. Whitaker: Water resources res. 24, 913 and 927 (1988)

    Article  ADS  Google Scholar 

  64. C.L. Carnahan, J. Hydrol., 31 125 (1976)

    Article  ADS  Google Scholar 

  65. C.M. Marle: Int. J. Eng. Sc. 20, 643 (1982); Ann. Mines, may 1984, 51 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  66. S.M. Hassanizadeh: Adv. Wat. Res., 9, 196, 24, 321 (1986)

    Article  Google Scholar 

  67. M.A. Biot: J. Appl. Phys., 33(4), pp. 1482 (1962)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  68. J.C. Benet, P. Jouanna: Int. J. Heat Mass Transfer, 26(11), 1585 (1983)

    Article  MATH  Google Scholar 

  69. P. Jamet: Sur certains aspects du couplage en milieu poreux entre les champs de température et de concentration. Ph. D. Thesis, (University of Paris-6 1991)

    Google Scholar 

  70. D. Fargue, Ph. Jamet: Entropie, 184–185, 17 (1994)

    Google Scholar 

  71. M. Poreh: J. Geophys. Res., 70, 3909 (1965)

    Article  ADS  Google Scholar 

  72. I. Prigogine: Introduction to thermodynamics of irreversible processes, (Wiley, N-Y 1962)

    Google Scholar 

  73. J. Meixner, H.G. Reik—Thermodynamik der irreversiblen Prozesse, in Handbuch der Physik, vol.III/2, (Springer, Heidelberg 1959)

    Google Scholar 

  74. D. Fargue, Ph. Jamet, P. Costesèque: Transport in Porous Media, 30, 323 (1998)

    Article  Google Scholar 

  75. Ph. Jamet, D. Fargue, P. Costesèque, G. de Marsily, A. Cernes: Transport Porous Med., 9, 223 (1992)

    Article  Google Scholar 

  76. M. Marcoux, M.C. Charrier-Mojtabi, A. Bergeon: Entropie, 214, 31 (1998)

    Google Scholar 

  77. P.G. Bedrikovetsky, D.G. Polonsky, A.A. Shapiro: Entropie, 184–185, 73 (1994)

    Google Scholar 

  78. D.A. Nield, A. Bejan: Convection in porous media, (Springer, 2nd Edition 1999)

    Google Scholar 

  79. Ph. Jamet: Influence des processus de couplage non diagonaux sur la dynamique du transfert de masse et de chaleur dans le milieu géologique, Research report, ANDRA (1999)

    Google Scholar 

  80. J.F. Figué, J.-P. Caltagirone, F. Montel: Entropie, 198–199, 102 (1996)

    Google Scholar 

  81. J.-F. Dutrieux, G. Chavepeyer, J.-K. Platten, E. Istasse: Entropie, 218, 18 (1999)

    Google Scholar 

  82. G. Chavepeyer, J.-K. Platten: Entropie, 214, 27 (1998)

    Google Scholar 

  83. M. Marcoux, M.C. Charrier-Mojtabi, M. Azaiez: Int. J. Heat Mass Transf., 42, 2313 (1999)

    Article  MATH  Google Scholar 

  84. H. Touiri, J.K. Platten, G. Chavepeyer: Eur. J. Mech., B/Fluids, 15, 241 (1996)

    Google Scholar 

  85. Sovran, Charrier-Mojtabi, Azaiez, Mojtabi: Poster to IMT4 conference (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université Paul Sabatier, 39, allées Jules Guesde, 31000, Toulouse, France

    Pierre Costesèque

  2. Ecole des Mines de Paris, 60, bd Saint Michel, 75272, Paris cedex 06, France

    Daniel Fargue

  3. Ecole des Mines de Paris, 35, rue Saint-Honoré, 77305, Fontainebleau cedex, France

    Philippe Jamet

Authors
  1. Pierre Costesèque
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daniel Fargue
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Philippe Jamet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Physikalisches Institut, Universiät Bayreuth, 95440, Bayreuth, Germany

    Werner Köhler

  2. Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128, Mainz, Germany

    Simone Wiegand

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Costesèque, P., Fargue, D., Jamet, P. (2002). Thermodiffusion in Porous Media and Its Consequences. In: Köhler, W., Wiegand, S. (eds) Thermal Nonequilibrium Phenomena in Fluid Mixtures. Lecture Notes in Physics, vol 584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45791-7_19

Download citation

  • DOI: https://doi.org/10.1007/3-540-45791-7_19

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43231-9

  • Online ISBN: 978-3-540-45791-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation