Skip to main content
SpringerLink
Log in

Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository

  • Original paper
  • Published:
Computational Geosciences Aims and scope Submit manuscript

Abstract

We derive a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological repository for radioactive waste. This model includes capillary effects and the gas high diffusivity. Moreover, it is written in variables (total hydrogen mass density and liquid pressure) chosen in order to be consistent with gas appearance or disappearance. We discuss the well possedness of this model and give some computational evidences of its adequacy to simulate gas generation in a water-saturated repository.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Allen III, M.B.: Numerical modelling of multiphase flow in porous media. Adv. Water Resour. 8, 162–187 (1985)

    Article  Google Scholar 

  2. Bear, J., Bachmat, Y.: Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer, Dordrecht (1991)

    MATH  Google Scholar 

  3. Chavent, G., Jaffré, J.,: Mathematical Models and Finite Elements for Reservoir Simulation. North-Holland, Helsinki (1986)

    MATH  Google Scholar 

  4. Firoozabadi, A.: Thermodynamics of Hydrocarbon Reservoirs. McGraw-Hill, New York (1999)

    Google Scholar 

  5. Horseman, S.T., Higgo, J.J.W., Alexander, J., Harrington, J.F.: Water, gas and solute movement through argillaceous media. NEA Report CC-96/1, Paris, OECD (1996)

  6. Jin, Y., Jury, W.A.: Characterizing the dependence of gas diffusion coefficient on soil properties. Soil Sci. Soc. Am. J. 60, 66–71 (1996)

    Google Scholar 

  7. Marle, C.M.: Multiphase Flow in Porous Media. Édition Technip (1981)

  8. Millington, R.J., Shearer, R.C.: Diffusion in aggregated porous media. Soil Sci. 111(6), 372 (1971)

    Article  Google Scholar 

  9. Peaceman, D.W.: Fundamentals of Numerical Reservoir Simulation. Elsevier, Amsterdam (1977)

    Google Scholar 

  10. Pruess, K., Oldenburg, C., Moridis, G.: Tough2 User’s Guide, version 2.0. Lawrence Berkeley National Laboratory, Berkeley (1999)

    Google Scholar 

  11. Schlumberger, A.: ECLIPSE Technical Description (2005)

  12. Van Genuchten, M.: A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–898 (1980)

    Google Scholar 

  13. Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12(3), 513–522 (1976)

    Article  Google Scholar 

  14. Wua, Y.-S., Forsyth, P.A.: On the selection of primary variables in numerical formulation for modeling multiphase flow in porous media. J. Contam. Hydrol. 48, 277–304 (2001)

    Article  Google Scholar 

  15. Andra: Couplex-gaz. http://www.andra.fr/interne.php3?id_article=913&id_rubrique=76 (2008)

  16. CEA: Cast3m. http://www-cast3m.cea.fr/cast3m/index.jsp (2003)

Download references

Author information

Authors and Affiliations

  1. Université de Lyon, Université Lyon1, CNRS UMR 5208 Institut Camille Jordan, 69200, Villeurbanne Cedex, France

    Alain Bourgeat & Farid Smaï

  2. Department of Mathematics, University of Zagreb, Zagreb, Croatia

    Mladen Jurak

Authors
  1. Alain Bourgeat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mladen Jurak
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Farid Smaï
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mladen Jurak.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bourgeat, A., Jurak, M. & Smaï, F. Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository. Comput Geosci 13, 29–42 (2009). https://doi.org/10.1007/s10596-008-9102-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10596-008-9102-1

Keywords

Search

Navigation