Skip to main content
Log in

Dispersion Measurements in Highly Heterogeneous Laboratory Scale Porous Media

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

Abstract

Laboratory experiments and numerical simulations investigate conservative contaminant transport in a heterogeneous porous medium. The laboratory experiments were performed in cylindrical columns 1m long and 3.5cm inside diameter filled with spherical glass beads. Concentration breakthrough curves are measured at a scale much finer than the size of the heterogeneity. Numerical simulations are based on a random walk in a known constant velocity field. The heterogeneity is a distinct, discontinuous change in the local permeability field. Fluid flow is miscible, flowing in a saturated porous medium. Previous work has shown this to be a very poorly understood phenomenon. The measurements reported here help to better understand how dispersion evolves through and past a heterogeneity.

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

  • Bear, L.: 1972, Dynamics of Fluids in Porous Media, Dover, New York.

    Google Scholar 

  • Botz, M. M., Sternberg, S. P. K. and Greenkorn, R. A.: 1993, A multifractal analysis of dispersion during miscible flow in porous media, Int. Ser. Numer. Math. 114, 15-23.

    Google Scholar 

  • Buckley, R. L., Loyalka, S. K. and Williams, M. M. R.: 1994, Numerical studies of radionuclide migration in heterogeneous porous media, Nucl. Sci. Eng. 118, 133-144.

    Google Scholar 

  • Cushman, J. H. and Ginn, T. R.: 1993a, Nonlocal dispersion in media with continuously evolving scales of heterogeneity, Transport in Porous Media 13, 123-138.

    Google Scholar 

  • Cushman, J. H. and Ginn, T. R.: 1993b, On dispersion in fractal porous media, Water Resour. Res. 29(10), 3513-3515.

    Google Scholar 

  • de Josselin de Jong, G.: 1958, Longitudinal and transverse diffusion in granular deposits, Trans. Am. Geophys. Union 39, 67-74.

    Google Scholar 

  • Fiori, A.: 1998, On the influence of pore-scale dispersion in non-ergodic transport in heterogeneous formations, Transport in Porous Media 30, 57-73.

    Google Scholar 

  • Greenkorn, R. A.: 1983, Flow Phenomena in Porous Media, Fundamentals and Applications in Petroleum, Water, and Food Production, Marcel Dekker, New York.

    Google Scholar 

  • Greenkorn, R. A., Haring, R. E., Johns, H. O. and Shallenberger, L. K.: 1964, Flow in heterogeneous Hele-Shaw models, Petroleum Trans. AIME 231, SPEJ 124.

    Google Scholar 

  • Greenkorn, R. A., Johnson, C. R. and Haring, R. E.: 1965, Miscible displacement in a controlled natural system, Pet. Trans. AIME 234, 1229.

    Google Scholar 

  • Gupta, S. P. and Greenkorn, R. A.: 1973, Dispersion during flow in porous media with bilinear adsorption, Water Resour. Res. 9(5), 1357.

    Google Scholar 

  • Gupta, S. P. and Greenkorn, R. A.: 1974, Determination of dispersion and nonlinear adsorption parameters for flow in porous media, Water Resour. Res. 10(4), 839.

    Google Scholar 

  • Koch, D. L. and Brady, J. F.: 1987a, A non-local description of advection-diffusion with application to dispersion in porous media, J. Fluid Mech. 180, 387-403.

    Google Scholar 

  • Koch, D. L. and Brady, J. F.: 1987b, Non-local dispersion in porous media; nonmechanical effects, Chem. Eng. Sci. 42(6), 1377-1392.

    Google Scholar 

  • Koch, D. L. and Brady, J. F.: 1988, Anomalous diffusion in heterogeneous porous media, Phys. Fluids 31(5), 965-973.

    Google Scholar 

  • Naff, R. L.: 1990, On the nature of the dispersive flux in saturated heterogeneous porous media, Water Resour. Res. 26(5), 1013-1026.

    Google Scholar 

  • Neuman, S. P.: 1993, Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: exact non-local formalism by conditional moments and weak approximation, Water Resour. Res. 29, 633-645.

    Google Scholar 

  • Pakula, R. J. and Greenkorn, R. A.: 1971, An experimental investigation of a porous media model with nonuniform pores, AIChE J. 17, 1265-1267.

    Google Scholar 

  • Panfilov, M.: 2000, Macroscale Models of Flow Through Highly Heterogeneous Porous Media, Kluwer Academic Publishers, Boston, MA.

    Google Scholar 

  • Press, W. H., Vetterling, W. T., Teukolsky, S. A. and Flannery, B. P.: 1992, Numerical Recipesin FORTRAN, The Art of Scientific Computing, 2nd edn, Cambridge University Press, New York.

    Google Scholar 

  • Scheidegger, A. E.: 1958, The random-walk model with autocorrelation of flow through porous media, Can. J. Phys. 36, 649-659.

    Google Scholar 

  • Silliman, S. E.: 2001, Laboratory study of chemical transport to wells within heterogeneous porous media, Water Resour. Res. 37(7), 1883-1892.

    Google Scholar 

  • Silliman, S. E. and Zheng, L.: 2001, Comparison of observations from a laboratory model with stochastic theory: initial analysis of hydraulic and tracer experiments, Transport in Porous Media 42(1-2), 85-107.

    Google Scholar 

  • Silliman, S. E., Konikow, L. F. and Voss, C. I.: 1987, Laboratory investigation of longitudinal dispersion in anisotropic porous media, Water Resour. Res. 23(11), 2145-2151.

    Google Scholar 

  • Skoog, D. A. and West, D. M.: 1982, Fundamentals of Analytical Chemistry, Saunders, New York.

    Google Scholar 

  • Sternberg, S. P. K.: 1998, Unpublished experimental data. Laboratory notes available upon request.

  • Sternberg, S. P. K. and Greenkorn, R. A.: 1994, An experimental investigation of dispersion in layered heterogeneous porous media, Transport in Porous Media 15, 15-30.

    Google Scholar 

  • Sternberg, S. P. K., Cushman, J. H. and Greenkorn, R. A.: 1996a, Random walks in scale dependent porous media, AIChE J. 42(4), 921-926.

    Google Scholar 

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

    Google Scholar 

  • Tompson, A. F. B.: 1988, On a new functional form for the dispersive flux in porous media, Water Resour. Res. 24(11) 1939-1947.

    Google Scholar 

  • Weast, R. C.: 1986, CRC Handbook of Chemistry and Physics, 67th edn, CRC Press, Boca Raton, FL.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sternberg, S.P.K. Dispersion Measurements in Highly Heterogeneous Laboratory Scale Porous Media. Transport in Porous Media 54, 107–124 (2004). https://doi.org/10.1023/A:1025708313812

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025708313812

Navigation