1887
Volume 61 Number 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In this paper, a method is proposed to invert permeability from seismoelectric logs in fluid‐saturated porous formations. From the analysis of both the amplitude and the phase of simulated seismoelectric logs, we find that the Stoneley wave amplitude of the ratio of the converted electric field to the pressure (REP) is sensitive to porosity rather than permeability while the tangent of the REP's phase is sensitive to permeability. The REP's phase reflects the phase discrepancy between the electric field and the pressure at the same location in the borehole. We theoretically derive the frequency‐dependent expression of the REP of the low‐frequency Stoneley wave and find that the tangent of the REP's argument is approximately in inverse proportion to permeability. We obtain an inversion formula and present the permeability inversion method by using the tangent of the REP's phase. To test this method, the permeabilities of different sandstones are inverted from the synthetic full‐waveform data of seismoelectric logs. A modified inversion process is proposed based on the analysis of inversion errors, by which the relative errors are controlled below 25% and they are smaller than those of the permeability inversion from the Stoneley wave of acoustic logs.

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2012-03-08
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References

  1. AbramowitzM. and StegunI.A.1965. Handbook of mathematical functions with formulas, graphs, and mathematical tables. Dover Publications Inc., Mineola , N.Y. .
    [Google Scholar]
  2. ArchieG.E.1942. The electrical resistivity log as an aid in determining some reservoir characteristics. Transactions of the American Institute of Mechanical Engineers 146, 54–62.
    [Google Scholar]
  3. 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 America 28, 168–178.
    [Google Scholar]
  4. BiotM.A.1956b. Theory of propagation of elastic waves in a fluid‐saturated porous Solid. II‐Higher‐frequency range. Journal of the Acoustical Society of America 28, 178–191.
    [Google Scholar]
  5. BiotM.A.1962. Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics 33, 1482–1498.
    [Google Scholar]
  6. BrownR.J.S.1980. Connection between formation factor for electrical resistivity and fluid‐solid coupling factor in Biot's equations for acoustic waves in fluid‐filled porous media. Geophysics 45, 1269–1275.
    [Google Scholar]
  7. ChengC.H., ZhangJ.Z. and DanielR.B.1987. Effects of in‐situ permeability on the propagation of Stoneley (tube) waves in a borehole. Geophysics 52, 1279–1289.
    [Google Scholar]
  8. FrenkelJ.1944. On the theory of seismic and seismoelectric phenomena in a moist soil. Journal of Physics (in Russian) 8, 230–241.
    [Google Scholar]
  9. GuanW. and HuH.S.2008. Finite‐difference modeling of the electroseismic logging in a fluid‐saturated porous formation. Journal of Computational Physics 227, 5633–5648.
    [Google Scholar]
  10. GuanW., HuH.S. and ChuZ.T.2006. Formulation of the acoustically‐induced electromagnetic field in a porous formation in terms of Hertz vectors and simulation of the borehole electromagnetic field excited by an acoustic multipole source. Acta Physica Sinica (in Chinese) 55, 267–274.
    [Google Scholar]
  11. HainesS.S. and PrideS.R.2006. Seismoelectric numerical modeling on a grid. Geophysics 71, N57–N65.
    [Google Scholar]
  12. HuH.S., GuanW. and HarrisJ.M.2007. Theoretical simulation of electroacoustic borehole logging in a fluid‐saturated porous formation. Journal of the Acoustical Society of America . 122, 135–145.
    [Google Scholar]
  13. HuH.S. and LiuJ.2002. Simulation of the converted electric field during acoustoelectric logging. 72nd SEG Annual International Meeting, Salt Lake City , Utah , USA , Expanded Abstracts, 21, 348–351.
    [Google Scholar]
  14. HuH.S., WangK.X. and WangJ.N.2000. Simulation of acoustically induced electromagnetic field in a borehole embedded in a porous formation. Borehole Acoustics Annual Report, Earth Resources Laboratory, Massachusetts Institute of Technology 13, 1–13.30.
  15. HuntC.W. and WorthingtonM.H.2000. Borehole electrokinetic responses in fracture dominated hydraulically conductive zones. Geophysical Research Letters. 27, 1315–1318.
  16. IvanovA.G.1939. Effect of electrization of earth layers by elastic waves passing through them. Doklady Akademii Nauk SSSR (in Russian) 24, 42–45.
    [Google Scholar]
  17. JohnsonD.L., KoplikJ. and DashenR.1987. Theory of dynamic permeability and tortuosity in fluid‐saturated porous media. Journal of Fluid Mechanics 176, 379–402.
    [Google Scholar]
  18. KurkjianA.L.1985. Numerical computation of individual far‐field arrivals excited by an acoustic source in a borehole. Geophysics 50, 852–866.
    [Google Scholar]
  19. MavkoG. and NurA.1997. The effect of a percolation threshold in the Kozeny‐Carman relation. Geophysics 62, 1480–1482.
    [Google Scholar]
  20. MikhailovO.V., QueenJ. and ToksözM.N.2000. Using borehole electroseismic measurements to detect and characterize fractured (permeable) zones. Geophysics 65, 1098–1112.
    [Google Scholar]
  21. MorganF.D., WilliamsE.R. and MaddenT.R.1989. Streaming potential properties of westerly granite with applications. Journal of Geophysical Research 94, 12449–12461.
    [Google Scholar]
  22. PainC.C., SaundersJ.H., WorthingtonM.H. et al . 2005. A mixed finite‐element method for solving the poroelastic Biot equations with electrokinetic coupling. Geophysical Journal of International 160, 592–608.
    [Google Scholar]
  23. PengraD.B., LiS.X. and WongP.Z.1999. Determination of rock properties by low‐frequency AC electrokinetics. Journal of Geophysical Research 104, 29485–29508.
    [Google Scholar]
  24. PlyshchenkovB.D. and NikitinA.A.2010. Borehole acoustic and electric Stoneley waves and permeability. Journal of Computational Acoustics 18, 87–115.
    [Google Scholar]
  25. PrideS.R.1994. Governing equations for the coupled electromagnetics and acoustics of porous media. Physical Review B 50, 15678–15696.
    [Google Scholar]
  26. PrideS.R. and HaartsenM.W.1996. Electroseismic wave properties. Journal of the Acoustical Society of America 100, 1301–1315.
    [Google Scholar]
  27. PrideS.R. and MorganF.1991. Electrokinetic dissipation induced by seismic waves. Geophysics 56, 914–925.
    [Google Scholar]
  28. RosenbaumJ.H.1974. Synthetic microseismograms: Logging in porous formations. Geophysics 39, 14–32.
    [Google Scholar]
  29. SingerJ., SaundersJ., HollowayL. et al . 2005. Electrokinetic logging has the potential to measure permeability. 46th SPWA Annual Logging Symposium , New Orleans , Louisiana , United States
    [Google Scholar]
  30. TangX.M. and ChengC.H.1996. Fast inversion of formation permeability from Stoneley wave logs using a simplified Biot‐Rosenbaum model. Geophysics 61, 639–64.
    [Google Scholar]
  31. TangX.M., ChengC.H. and ToksözM.N.1991. Dynamic permeability and borehole Stoneley waves: A simplified Biot‐Rosenbaum model. Journal of the Acoustical Society of America 90, 1632–1646.
    [Google Scholar]
  32. TsangL. and RaderD.1979. Numerical evaluation of the transient acoustic waveform due to a point source in a fluid‐filled borehole. Geophysics 44, 1706–1720.
    [Google Scholar]
  33. VernikL.1994. Predicting lithology and transport properties from acoustic velocities based on petrophysical classification of siliclastics. Geophysics 59, 420–427.
    [Google Scholar]
  34. WangJ, HuH.S. and XuX.R.et al. 2010. Experimental measurement study on rock permeability based on the electrokinetic effect. Chinese Journal of Geophysics (in Chinese) 53, 1953–1960.
  35. WangZ.2010. Component wave analysis of borehole seismoelectric wavefields in a porous formation. Thesis for the Master Degree of Harbin Institute of Technology (in Chinese).
  36. WangZ.HuH. and GuanW.2012. Component wave analysis of the relation between borehole seismoelectric wavefields and formation permeability, accepted by Acta Physica Sinica (in Chinese).
  37. WilliamsD.M., ZemanekJ., AngonaF.A. et al . 1984. The long spaced acoustic logging tool. 25th SPWA Annual Logging Symposium , Paper T.
  38. WinklerK.W., LiuH.L. and JohnsonD.L.1989. Permeability and borehole Stoneley waves: Comparison between experiment and theory. Geophysics 54, 66–75.
    [Google Scholar]
  39. WuX.Y., WangK.X., GuoL. et al . 1995. Inversion of permeability from the full waveform acoustic logging data. Chinese Journal of Geophysics (in Chinese) 38(Suppl.I), 224–231.
    [Google Scholar]
  40. ZhanX.ChiS. and ToksözM.N.2006. Simulation of the converted electric field during multipole logging while drilling (LWD). 76th SEG Annual International Meeting, New Orleans , Louisiana , USA , Expanded Abstracts, 25, 446–450.
    [Google Scholar]
  41. ZhuZ., HaartsenM.W. and ToksözM.N.1999. Experimental studies of electrokinetic conversions in fluid‐saturated borehole models. Geophysics 64, 1349–1356.
    [Google Scholar]
  42. ZhuZ. and ToksözM.N.2003. Crosshole seismoelectric measurements in borehole models with fractures. Geophysics 68, 1519–1524.
    [Google Scholar]
  43. ZhuZ. and ToksözM.N.2005. Seismoelectric and seismomagnetic measurements in fractured borehole models. Geophysics 70, F45–F51.
    [Google Scholar]
  44. ZhuZ., ToksözM.N. and BurnsD.R.2008. Electroseismic and seismoelectric measurements of rock samples in a water tank. Geophysics 73, E153–E164.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Borehole geophysics; Inversion; Permeability

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