Skip to main content
SpringerLink
Log in

Dispersion Waves of Two Fluids in a Porous Medium

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

Abstract

The dispersion of two fluids in a porous medium is analyzed as a wave process. The wave equations are derived, and for plane wave solutions a wave number versus frequency dispersion relation is obtained. Suitable choices for the saturation dependence of terms in the equations of motion and the dynamic pressure difference equation lead to physical solutions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bear J.: Dynamics of Fluids in Porous Media. Dover Publications, Inc., New York (1972)

    Google Scholar 

  • Berkowitz B.: Dispersion in heterogeneous geological formations: preface (Transport in Porous Media—special issue). Transp. Porous. Med. 42, 1–2 (2001)

    Article  Google Scholar 

  • Brooks, R.H., Corey, A.T.: Hydraulic Properties of Porous Media. Hydro Paper No. 5, Colorado State University, Fort Collins (1964)

  • de la Cruz V., Spanos T.J.T.: Seismic wave propagation in a porous medium. Geophysics 50(10), 1556–1565 (1985)

    Article  Google Scholar 

  • de la Cruz V., Spanos T.J.T., Yang D.: Macroscopic capillary pressure. Transp. Porous Med. 19, 67–77 (1995)

    Article  Google Scholar 

  • Geilikman M.B., Spanos T.J.T., Nyland E.: Porosity diffusion in fluid-saturated media. Tectonophysics 217, 111–115 (1993)

    Article  Google Scholar 

  • Spanos T.J.T.: The Thermophysics of Porous Media. Monographs and Surveys in Pure and Applied Mathematics 126. Chapman & Hall/CRC, Boca Raton (2002)

    Google Scholar 

  • Spanos T.J.T., de la Cruz V., Hube J.: An analysis of the theoretical foundations of relative permeability curves. AOSTRA J. Res. 4(3), 181–192 (1988)

    Google Scholar 

  • van Genabeek O., Rothman D.H.: Macroscopic manifestations of microscopic flows through porous media: phenomenology from simulation. Annu. Rev. Earth Planet. Sci. 24, 63–87 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Wavefront Reservoir Technologies Ltd., Edmonton, Alberta, Canada

    Norman Udey

Authors
  1. Norman Udey
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Norman Udey.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Udey, N. Dispersion Waves of Two Fluids in a Porous Medium. Transp Porous Med 79, 107–115 (2009). https://doi.org/10.1007/s11242-009-9334-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11242-009-9334-0

Keywords

Search

Navigation