Abstract
We review the Biot theory of the propagation of acoustic waves in multiconnected porous media filled with fluid. Theoretical predictions are compared to experiments in many different physical systems such as packed and sintered glass beads, fourth sound in 4He, polymeric gels which allow study of the critical behaviour of gel in the sol — gel transition. Using acoustics as a local probe of fluid concentration variations in porous media, we can determine the concentration profiles during miscible and immiscible fluid flows through the medium, and analyse our results in terms of dispersion and capillary diffusion.
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
M.A. BIOT: J. Acoust. Soc. Am. 28, 168 (1956)
M.A. BIOT: J. Acoust. Soc. Am. 28, 179 (1956)
D.L. JOHNSON: Proc. of Enrico Fermi Summer School “Frontiers of Physical Acoustics” (Varenna, 1984)
D.L. JOHNSON, T.J. PLONA, C. SCALA, F. PASIERB and H. KOJIMA: Phys. Rev. Lett. 49, 1840 (1982)
L. LANDAU and E.M. LIFSHITZ: Fluid Mechanics (Pergamon Press, N.Y., 1959)
J.G. BERRYMAN: Appl. Phys. Lett. 37, 382 (1980)
R.J.S. BROWN: Geophysics 45, 1269 (1980)
L.D. LANDAU and E.M. LIFSHITZ: Theory of Elasticity (Pergamon Press, 1959)
B. LAMBERT and D. SALIN: J. Physique Lett. 41, L-487 (1980)
K.A. SHAPIRO and I. RUDNICK: Phys. Rev. A 137, 1383 (1965)
D.L. JOHNSON: Appl. Phys. Lett. 37, 1065 (1980);
D.L. JOHNSON: Appl. Phys. Lett. 38, 827 (1980)
T.J. PLONA: Appl. Phys. Lett. 36, 259 (1980)
D. SALIN and W. SCHON: J. Physique Lett. 42, L-477 (1981)
J.C. BACRI, C. LEYGNAC and D. SALIN: J. Physique Lett. 45, L-767 (1984)
T. TANAKA, L.O. HOCKER and G.B. BENEDEK: J. Chem. Phys. 59, 5151 (1973)
P.G. de GENNES: Macromolecules 9, 587 (1976)
J.C. BACRI, J. DUMAS and A. LEVELUT: J. Physique Lett. 40, L-231 (1979)
J.C. BACRI and R. RAJAONARISON: J. Physique Lett. 40, L-5 (1979)
J.C. BACRI, J.M. COURDILLE, J. DUMAS and R. RAJAONARISON: J. Physique Lett. 41, L-36 (1980)
J.C. BACRI, C. LEYGNAC and D. SALIN: submitted to J. Physique Lett.
A. SCHEIDEGGER: The Physics of Flow through Porous Media, 3rd Edition (University of Toronto Press, 1974)
C.M. MARLE: Multiphase flows in Porous Media (Technip, Paris, 1981)
F.A.L. DULLIEN: Porous Media, Fluid Transport and Pore Structure (Academic Press, N.Y., 1979)
G. TAYLOR: Proc. Royal Soc. London A 219, 186 (1953)
P.G. SAFFMANN: J. Fluid Mechanics 6, 321 (1959)
P.G. de GENNES: Physicochemical Hydrodynamics 4, 175 (1983)
J. GRANK: The Mathematics of Diffusion (Clarendon University Press, Oxford, 1956)
E. GUYON and P.G. de GENNES: J. de Mécanique 17, 403 (1978)
P.G. de GENNES: to be published
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bacri, JC., Salin, D. (1985). Acoustic and Hydrodynamic Flows in Porous Media. In: Boccara, N., Daoud, M. (eds) Physics of Finely Divided Matter. Springer Proceedings in Physics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93301-1_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-93301-1_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93303-5
Online ISBN: 978-3-642-93301-1
eBook Packages: Springer Book Archive