Abstract
The molecular diffusivity of a tracer species in a given medium is a measure of the average spread of the tracer due to fluctuations in its velocity on the molecular scale. In a medium that is heterogeneous on a macroscopic scale, a tracer will experience an additional spreading due to variations in its velocity as it moves through the heterogeneous medium. This spreading due to macroscale velocity fluctuations is known as dispersion and is the subject of this article.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P.G. Saffman, J. Fluid Mech. 6, 321 (1959).
H. Brenner, Phil. Trans. R. Soc. Lond. A 297, 81 (1980).
H. Brenner and P.M. Adler, Phil. Trans. R. Soc. Lond. A 307, 149 (1982).
D.L. Koch and J.F. Brady, J. Fluid Mech. 154, 399 (1985).
D.L. Koch and J. F. Brady, Phys. Fluids 30, 642 (1987).
D.L. Koch and J.F. Brady, Chem. Engng. Sci. 42, 1377 (1987).
D.L. Koch and J.F. Brady, J. Fluid Mech. 180, 387 (1987).
A. Eidsath, R.G. Carbonell, S. Whitaker and L.R. Herrman, Chem. Engng. Sci. 38, 1803 (1983).
J.J. Fried and M. A. Combainous, Adv. Hydrosci. 7, 169 (1971).
N. Han, J. Bhakta and R.G. Carbonell, AIChEJ 31, 277 (1985).
D.J. Gunn and C. Price, Trans. Instn. Chem. Engrs. 47, T341 (1969).
P.M. Adler, Inti. J. Multiphase Flow 11, 241 (1985).
G. Dagan, Ann. Rev. Fluid Mech. 19, 183 (1987).
M. Sahimi, B.D. Hughes, L.E. Scriven and H.T. Davis, Chem. Engng. Sci. 41, 2103 (1986).
M. Sahimi, A.A. Heiba, H.T. Davis and L.E. Scriven, Chem. Engng. Sci. 41, 2123 (1986).
P.G. de Gennes, J. Fluid Mech. 136, 189 (1983).
L. de Arcangelis, J. Koplik, S. Redner and D. Wilkinson, Phys. Rev. Lett. 57, 996 (1986).
J. Koplik, S. Redner and D. Wilkinson, Phys. Rev. A (submitted).
D.L. Koch, R.G. Cox, H. Brenner and J.F. Brady, J. Fluid Mech. (submitted).
D.L. Koch, Ph.D. Thesis, M.I.T. (1986).
J.C. Maxwell, Electricity and Magnetisms, Clarendon (1873).
DJ. Jeffrey, Proc. R. Soc. Lond. A 335, 335 (1973).
A.S. Sangani and A. Acrivos, Proc. R. Soc. Lond. A 386, 263 (1983).
C. Baudet, E. Guyon and Y. Pomeau, J. Physique Lett. 46, L-991 (1985).
A. Nadim, R.G. Cox and H. Brenner, J. Fluid Mech. 164, 185 (1986).
W.W. Gill and R. Sankarasubramanian, Proc. R. Soc. Lond. A 316, 341 (1970).
P.C. Chatwin, J. Fluid Mech. 43, 321 (1970).
M. Pagitsas, A. Nadim and H. Brenner, Physica 135 A, 533 (1986).
H. Scher and E.W. Montroll, Phys. Rev. B 12, 2455 (1975).
D.L. Koch and J.F. Brady, Phys. Fluids 31 (1988).
B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman (1983).
G. Matheron and G. de Marsily, Water Resour. Res. 16, 901 (1980).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Kluwer Academic Publishers
About this chapter
Cite this chapter
Brady, J.F., Koch, D.L. (1988). Dispersion in Porous Media. In: Guyon, E., Nadal, JP., Pomeau, Y. (eds) Disorder and Mixing. NATO ASI Series, vol 152. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2825-1_8
Download citation
DOI: https://doi.org/10.1007/978-94-009-2825-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-247-3789-5
Online ISBN: 978-94-009-2825-1
eBook Packages: Springer Book Archive