Skip to main content
Log in

Automaton Simulations of Dispersion in Porous Media

  • Published:
Transport in Porous Media Aims and scope Submit manuscript

Abstract

A thermodynamic lattice gas (automaton) model is used to simulate dispersion in porous media. Simulations are constructed at two distinctly different scales, the pore scale at which capillary models are constructed and large scale or Darcy scale at which probabilistic collision rules are introduced. Both models allow for macroscopic (pore scale) phase separation. The pore scale models clearly show the effect of pore structure on dispersion. The large scale (mega scale) simulations indicate that when the pressure difference between the displacing phase and displaced phase is properly chosen (representing the average pressure gradient between the phases). The simulation results are consistent with both theoretical predictions and experimental observations.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Brigham, W. E.: 1974, Mixing equations in short laboratory cores, Soc. Petrol. Eng. J. 14, 91–99.

    Google Scholar 

  • de la Cruz, V., Spanos, T. J. T. and Yang, D. S.: 1995, Macroscopic capillary pressure, Transport in Porous Media 9(1), 67–77.

    Google Scholar 

  • Edelen, D. G. B.: 1976, Nonlocal field theories, In: Eringen (ed.), Continuum Physics, Vol. 4, Academic Press, New York.

    Google Scholar 

  • Gao, Y. and Sharma, M. M.: 1994, A LGA model for dispersion in heterogeneous porous media, Transport in Porous Media 17, 19–32.

    Google Scholar 

  • Spanos, T. J. T., de la Cruz, V. and Hube, J.: 1988, An analysis of the theoretical foundations of relative permeability curves, AOSTRA J. Res. 4, 181–192.

    Google Scholar 

  • Sternberg, S. P. K., Cushman, J. H. and Greenkorn, R. A.: 1996, Laboratory observation of nonlocal dispersion, Transport in Porous Media 23, 135–151.

    Google Scholar 

  • Udey, N. and Spanos, T. J. T.: 1993, The equations of miscible flow with negligible molecular diffusion, Transport in Porous Media 10, 1–41.

    Google Scholar 

  • Udey, N., Shim, D. and Spanos, T. J. T.: 1998, A Lorentz invariant thermal lattice gas model, Proc. K. Soc. Lond. A (in press).

  • Yang, D., Udey, N. and Spanos, T. J. T.: 1998, Thermodynamic automaton simulations of fluid flow and diffusion in porous media, Transport in Porous Media (in press).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, D., Udey, N. & Spanos, T.J.T. Automaton Simulations of Dispersion in Porous Media. Transport in Porous Media 32, 187–198 (1998). https://doi.org/10.1023/A:1006566117582

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1006566117582

Navigation