1887
Volume 64, Issue 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

We show how to estimate the fluid permeability changes due to accumulated biopolymer within the pore space of a granular material using laboratory measurements of overall permeability, together with various well‐known quantitative measures (e.g., porosity, specific surface area, and formation factor) of the granular medium microstructure. The main focus of the paper is on mutual validation of existing theory and a synthesis of new experimental results. We find that the theory and data are in good agreement within normal experimental uncertainties. We also establish quantitative empirical relationships between seismic and/or acoustic attenuation and overall permeability for these same systems.

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2015-08-18
2024-04-27
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References

  1. BergmanD.J.1978. Dielectric constant of a composite material – Problem in classical physics. Physics Reports43, 378–407.
    [Google Scholar]
  2. BergmanD.J.1980. Exactly solvable microscopic geometries and rigorous bounds for the complex dielectric constant of a two‐component composite material. Physical Review Letters44, 1285–1287.
    [Google Scholar]
  3. BergmanD.J.1982. Rigorous bounds for the complex dielectric constant of a two‐component composite. Annals of Physics138, 78–114.
    [Google Scholar]
  4. BerrymanJ.G.1980. Confirmation of Biot's theory. Applied Physics Letters37, 382–384.
    [Google Scholar]
  5. BerrymanJ.G.1986. Elastic wave attenuation in rocks containing fluids. Applied Physics Letters49, 552–554.
    [Google Scholar]
  6. BerrymanJ.G.1988. Seismic wave attenuation in fluid‐saturated porous media. Journal of Pure and Applied Geophysics (PAGEOPH)128, 423–432.
    [Google Scholar]
  7. BerrymanJ.G.1990. Waves in partially saturated porous media. In: Wave Propagation and Inversion (eds W.E.Fitzgibbon and M.F.Wheeler ), pp. 1–25. SIAM: Philadelphia, PA.
    [Google Scholar]
  8. BerrymanJ.G.1992. Effective stress for transport properties of inhomogeneous porous rock. Journal of Geophysical Research97, 17409–17424.
    [Google Scholar]
  9. BerrymanJ.G.1995. Mixture theories for rock properties. In: Rock Physics and Phase Relations: A Handbook of Physical Constants, Chapters 3–15 (ed T.J.Ahrens ), pp. 205–228. AGU Reference Shelf 3, American Geophysical Union: Washington, DC.
    [Google Scholar]
  10. BerrymanJ.G.2005. Thermal conductivity of porous media. Applied Physics Letters86, 032905 (2005).
    [Google Scholar]
  11. BiotM.A.1956a. Theory of propagation of elastic waves in a fluid‐saturated porous solid. I. Low‐frequency range. Journal of the Acoustical Society of America28, 168–178.
    [Google Scholar]
  12. BiotM.A.1956b. Theory of propagation of elastic waves in a fluid‐saturated porous solid. II. Higher frequency range. Journal of the Acoustical Society America28, 179–191.
    [Google Scholar]
  13. BlairS.C., BergeP.A. and BerrymanJ.G.1996. Using two‐point correlation functions to characterize microgeometry and estimate permeabilities of sandstones and porous glass. Journal of Geophysical Research101, 20359–20375.
    [Google Scholar]
  14. BlairS.C., BergeP.A. and BerrymanJ.G.1997. Reply. Journal of Geophysical Research102, 24813 (1997).
    [Google Scholar]
  15. BouzidiY. and SchmidtD.R.2009. Measurement of the speed and attenuation of the Biot slow wave using a large ultrasonic trasmitter. Journal of Geophysical Research114, B08201 (1‐14).
    [Google Scholar]
  16. CharlaixE., KushnickA.P. and StokesJ.P.1988. Experimental study of dynamic permeability in porous media. Physical Review Letters61, 1595–1598.
    [Google Scholar]
  17. CortisA. and BerrymanJ.G.2010. Frequency‐dependent viscous flow in channels with fractal rough surfaces. Physics of Fluids22, 053603.
    [Google Scholar]
  18. DavisC.A., Pyrak‐NolteL.J., AtekwanaE.A., WerkemaD.D. and HaugenM.E.2009. Microbial‐induced heterogeneity in the acoustic properties of porous media. Geophysical Research Letters36, L21405.
    [Google Scholar]
  19. DavisC.A., Pyrak‐NolteL.J., AtekwanaE.A., WerkemaD.D. and HaugenM.E.2010. Acoustic and electrical property changes due to microbial growth and biofilm formation in porous media. Journal of Geophysical Research115, G00G06.
    [Google Scholar]
  20. EdelmanI.2003. Bifurcation of the Biot slow wave in a porous medium. Journal of the Acoustical Society of America114, 90–97.
    [Google Scholar]
  21. JohnsonD.L.1989. Scaling function for dynamic permeability in porous media. Physical Review Letters63, 580–583.
    [Google Scholar]
  22. JohnsonD.L., KoplikJ. and SchwartzL.M.1986. New pore‐size parameter characterizing transport in porous media. Physical Review Letters57, 2564–2567.
    [Google Scholar]
  23. JohnsonD.L., KoplikJ. and DashenR.1987. Theory of dynamic permeability and tortuosity in fluid‐saturated porous media. Journal of Fluid Mechanics176, 379–402.
    [Google Scholar]
  24. KelderO. and SmeuldersD.M.J.1997. Observation of the Biot slow wave in water‐saturated Nivelsteiner sandstone. Geophysics62, 1794–1796.
    [Google Scholar]
  25. KorringaJ. and LaTorracaG.A.1986. Application of the Bergman‐Milton theory of bounds to the permittivity of rocks. Journal of Applied Physics60, 2966–2976.
    [Google Scholar]
  26. KostekS., SchwartzL.M. and JohnsonD.L.1992. Fluid permeability in porous media: Comparison of electrical estimates with hydrodynamical calculations. Physical Review B45, 186–195.
    [Google Scholar]
  27. KwonT.‐H. and Ajo‐FranklinJ.B.2011. Seismic monitoring of permeability reduction due to biopolymer formation in unconsolidated materials. SEG‐2011 Expanded Abstracts30, 2282–2286.
    [Google Scholar]
  28. KwonT.‐H. and Ajo‐FranklinJ.B.2013. High‐frequency seismic response during permeability reduction due to biopolymer clogging in unconsolidated porous media. Geophysics78, EN117–EN127.
    [Google Scholar]
  29. KwonT.‐H. and ChoG.‐C.2005. Smart geophysical characterization of particulate materials in a laboratory. Smart Structures and Systems1, 217–233.
    [Google Scholar]
  30. LappanR.E. and FogglerH.S.1996. Reduction of porous media permeability from in situ Leuconostoc mesenteroides growth and dextran production. Biotechnology and Bioengineering50, 6–15.
    [Google Scholar]
  31. MartysN. and GarbocziE.J.1992. Length scales relating the fluid permeability and electrical conductivity in random 2D model porous media. Physical Review B46, 6080–6090.
    [Google Scholar]
  32. MiltonG.W.1980. Bounds on the complex dielectric constant of a composite material. Applied Physics Letters37, 300–303.
    [Google Scholar]
  33. MiltonG.W.1981. Bounds on the complex permittivity of a two‐component composite material. Journal of Applied Physics52, 5286–5293.
    [Google Scholar]
  34. NakagawaK., SogaK. and MitchellJ.K.1997. Observation of Biot compressional wave of the second kind in granular soils. Géotechnique47, 133–147.
    [Google Scholar]
  35. PlonaT.J.1980. Observation of a 2nd bulk compressional wave in a porous medium at ultrasonic frequencies. Applied Physics Letters36, 259–261.
    [Google Scholar]
  36. PrideS.R. and BerrymanJ.G.2003a. Linear dynamics of double‐porosity dual‐permeability materials. I. Governing equations and acoustic attenuation. Physical Review E68, 036603.
    [Google Scholar]
  37. PrideS.R. and BerrymanJ.G.2003b. Linear dynamics of double‐porosity dual‐permeability materials. II. Fluid transport equations. Physical Review E68, 036604.
    [Google Scholar]
  38. PrideS.R., BerrymanJ.G. and HarrisJ.M.2004. Seismic attenuation due to wave‐induced flow. Journal of Geophysical Research109, B01201.
    [Google Scholar]
  39. RadlinskiA.P., RadlinskaE.Z., AgamalianM., WignallG.D., LindnerP. and RandlO.G.1999. Fractal geometry of rocks. Physical Review Letters82(15), 3078–3081.
    [Google Scholar]
  40. ShengP. and ZhouM.‐Y.1988. Dynamic permeability in porous media. Physical Review Letters61, 1591–1594.
    [Google Scholar]
  41. SmeuldersD.M.J.2005. Experimental evidence for slow compressional waves. Journal of Engineering Mechanics131, 908–917.
    [Google Scholar]
  42. StroudD., MiltonG.W. and DeB.R.1986. Analytical model for the dielectric response of brine‐saturated rocks. Physical Review B34, 5145–5153.
    [Google Scholar]
  43. TaH. X., KwonT.‐H. and MuhunthanB.2014. Preliminary study on geophysical monitoring of bioclogging caused by bacterial biopolymer accumulation in sands. In: Proceedings of the 2014 ASCE Geo‐Congress on Geo‐Characterization and Modeling for Sustainability, Atlanta, GA, February 23–26.
    [Google Scholar]
  44. WildenschildD., RobertsJ.J. and CarlbergE.D.2000. On the relationship between microstructure and electrical and hydraulic properties of sand‐clay mixtures. Geophysical Research Letters27, 3085–3088.
    [Google Scholar]
  45. WilliamsK.H., NtarlagiannisD., SlaterL.D., DohnalkovaA., HubbardS.S. and BanfieldJ.F.2005. Geophysical imaging of stimulated microbial biomineralization. Environmental Science and Technology39, 7592–7600.
    [Google Scholar]
  46. ZhouM.‐Y. and ShengP.1989. First‐principles calculations of dynamic permeability in porous media. Physical Review B39, 12027–12039.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Permeability reduction

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