Skip to main content
SpringerLink
Log in

Pore Roughness Effects on Highfrequency Permeability

  • Conference paper
IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 125))

  • 890 Accesses

Abstract

The high-frequency behaviour of the dynamic permeability is studied. In the case that the solid-fluid interface appears locally flat, we give a new derivation for the characteristic lenght Λ. In the case of wedge-shaped intrusions, the classical approach is modified by an additional higher-order term, which is depending on the apex angle of the wedge. Precise numerical simulations confirmed this dependency.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Achdou, Y. and Avellaneda, M. (1992) Influence of pore roughness and poresize dispersion in estimating the permeability of a porous medium from electrical measuraments, Phys Fluids 4(12), 2561

    MathSciNet  Google Scholar 

  2. Auriault, J.-L., Borne, L. and Chambon, R. (1985) Dynamics of porous saturated media, checking of the generalized law of Darcy, J. Acous. Soc. Am. 77, 1641

    Google Scholar 

  3. Cortis, A. and Smeulders, D.M.J. (2001) On the viscous length scale of wedgeshaped porous media, Int. J.Engng Sci. 235, 307

    Google Scholar 

  4. Cortis, A., Smeulders, D.M.J., Guermond, J.-L. and Lafarge, D. (2003) Influence of pore roughness on high-frequency permeability, Phys. Fluids 15, In press

    Google Scholar 

  5. Firdaouss, M., Guermond, J.-L. and Lafarge, D. (1998) Some remarks on the acoustic parameters of sharpedged porous media, Int. J. Engng Sci. 36, 1035

    Article  Google Scholar 

  6. Johnson, D.L., Koplik, J. and Dashen, R. (1987) Theory of dynamic permeability and tortuosity in fluidsaturated porous media, J. Fluid Mech. 176, 379

    Google Scholar 

  7. Landau, L.D. and Lifschitz, E.M. (1959) Fluid Mechanics

    Google Scholar 

  8. Rebay, S. (1993) Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm, J. Comp. Phys. 106(1), 125

    MATH  Google Scholar 

  9. Sheng, P. and Zhou, M. (1988) Dynamic permeability in porous media, Phys. Rev. Lett. 61(14), 1591

    Article  Google Scholar 

  10. Smeulders, D.M.J., Eggels, R.L.G.M and Van Dongen, M.E.H. (1992) Dynamic permeability: reformulation of theory and new experimental data, J. Fluid Mech. 245, 211

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Delft University of Technology, PO Box 5028, 2600 GA, Delft, The Netherlands

    David Smeulders & Andrea Cortis

  2. LIMSI, UPR 3251 (CNRS), BP 133, 91403, Orsay, France

    Jean Luc Guermond

  3. LAUM, UMR 6613, Av. O. Messiaen, 72017, Le Mans, France

    Denis Lafarge

Authors
  1. David Smeulders
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Andrea Cortis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jean Luc Guermond
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Denis Lafarge
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada, N2L 3GI

    G. M. L. Gladwell

  2. Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    J.M. Huyghe

  3. Wageningen University and Research Centre, Wageningen, The Netherlands

    Peter A.C. Raats

  4. New York Center for Biomedical Engineering, School of Engineering, The City College, New York, NY, USA

    Stephen C. Cowin

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this paper

Cite this paper

Smeulders, D., Cortis, A., Guermond, J.L., Lafarge, D. (2005). Pore Roughness Effects on Highfrequency Permeability. In: Gladwell, G.M.L., Huyghe, J., Raats, P.A., Cowin, S.C. (eds) IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media. Solid Mechanics and Its Applications, vol 125. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3865-8_4

Download citation

  • DOI: https://doi.org/10.1007/1-4020-3865-8_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3864-8

  • Online ISBN: 978-1-4020-3865-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation