1887
Volume 61, Issue 4
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Wave‐induced fluid flow at microscopic and mesoscopic scales arguably constitutes the major cause of intrinsic seismic attenuation throughout the exploration seismic and sonic frequency ranges. The quantitative analysis of these phenomena is, however, complicated by the fact that the governing physical processes may be dependent. The reason for this is that the presence of microscopic heterogeneities, such as micro‐cracks or broken grain contacts, causes the stiffness of the so‐called modified dry frame to be complex‐valued and frequency‐dependent, which in turn may affect the viscoelastic behaviour in response to fluid flow at mesoscopic scales. In this work, we propose a simple but effective procedure to estimate the seismic attenuation and velocity dispersion behaviour associated with wave‐induced fluid flow due to both microscopic and mesoscopic heterogeneities and discuss the results obtained for a range of pertinent scenarios.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12009
2013-01-15
2024-03-29
Loading full text...

Full text loading...

References

  1. BachrachR.1998. High resolution shallow seismic subsurface characterization . PhD. thesis, Stanford University, Stanford , California .
  2. BiotM.1941. General theory of three‐dimensional consolidation. Journal of Applied Physics 12, 155–164.
    [Google Scholar]
  3. BiotM.1956. Theory of propagation of elastic waves in a fluid saturated porous solid. I. Low frequency range. Journal of the Acoustical Society America 28, 168–178.
    [Google Scholar]
  4. BudianskyB. and O’ConnellR.1976. Elastic moduli of a cracked solid. International Journal of Solids and Structures 12, 81–97.
    [Google Scholar]
  5. CarcioneJ. and GurevichB.2011. Differential form and numerical implementation of Biot’s poroelasticity equations with squirt dissipation. Geophysics 76, N55–N64.
    [Google Scholar]
  6. CarcioneJ. and PicottiS.2006. P‐wave seismic attenuation by slow‐wave difussion: Effects of inhomogeneous rock properties. Geophysics 71, O1–O8.
    [Google Scholar]
  7. ChapmanM.2003. Frequency‐dependent anisotropy due to meso‐scale fractures in the presence of equant porosity. Geophysical Prospecting 51, 369–379.
    [Google Scholar]
  8. DvorkinJ. and NurA.1993. Dynamic poroelasticity: A unified model with the squirt and the Biot mechanisms. Geophysics 58, 524–533.
    [Google Scholar]
  9. GurevichB., MakarynskaD., Bastosde Paula O. and PervukhinaM.2010. A simple model for squirt‐flow dispersion and attenuation in fluid‐saturated granular rocks. Geophysics 75, N109–N120.
    [Google Scholar]
  10. HolligerK. and GoffJ.2003. A generalised model for the 1/f‐scaling nature of seismic velocity fluctuations. In Heterogeneity in the Crust and the Upper Mantle ‐ Nature, Scaling, and Seismic Properties . (eds J.Goff and K.Holliger ), pp. 131–154. Kluwer Academic/Plenum Scientific Publishers.
    [Google Scholar]
  11. Le RavalecM., GuéguenY. and ChelidzeT.1996. Elastic wave velocities in partially saturated rocks: Saturation hysteresis. Journal of Geophysical Research 101, 837–844.
    [Google Scholar]
  12. MavkoG. and NurA.1979. Wave attenuation in partially saturated rocks. Geophysics 44, 161–178.
    [Google Scholar]
  13. MavkoG., MukerjiT. and DvorkinJ.1998. The rock physics handbook: tools for seismic analysis in porous media . Cambridge University Press.
    [Google Scholar]
  14. MüllerT., GurevichB. and LebedevM.2010. Seismic wave attenuation and dispersion resulting from wave‐induced flow in porous rocks ‐ A review. Geophysics 75, 75A147–75A164.
    [Google Scholar]
  15. O’ConnellR. and BudianskyB.1977. Viscoelastic properties of fluid‐saturated cracked solids. Journal of Geophysical Research 82, 5719–5735.
    [Google Scholar]
  16. PrideS., BerrymanJ. and HarrisJ.2004. Seismic attenuation due to wave‐induced flow. Journal of Geophysical Research 109, B01201.
    [Google Scholar]
  17. QuintalB., SteebH., FrehnerM. and SchmalholzS.2011. Quasi‐static finite element modeling of seismic attenuation and dispersion due to wave‐induced fluid flow in poroelastic media. Journal of Geophysical Research 116, B01201.
    [Google Scholar]
  18. RubinoJ. and HolligerK.2012. Seismic attenuation and velocity dispersion in heterogeneous partially saturated porous rocks. Geophysical Journal International 188, 1088–1102.
    [Google Scholar]
  19. RubinoJ., RavazzoliC. and SantosJ.2009. Equivalent viscoelastic solids for heterogeneous fluid‐saturated porous rocks. Geophysics 74(1), N1–N13.
    [Google Scholar]
  20. RubinoJ., VelisD. and SacchiM.2011. Numerical analysis of wave‐induced fluid flow effects on seismic data: Application to monitoring of CO2 storage at the Sleipner field. Journal of Geophysical Research 116, B03306.
    [Google Scholar]
  21. SaroutJ.2012. Impact of pore space topology on permeability, cut‐off frequencies and validity of wave propagation theories. Geophysical Journal International 189, 481–492.
    [Google Scholar]
  22. ShapiroS.2003. Elastic piezosensitivity of porous and fractured rocks. Geophysics 68, 482–486.
    [Google Scholar]
  23. WhiteJ.1975. Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics 40, 224–232.
    [Google Scholar]
  24. WhiteJ., MikhaylovaN. and LyakhovitskiyF.1975. Low‐frequency seismic waves in fluid‐saturated layered rocks. Izvestija Academy of Science USSR, Physics of the Solid Earth 10, 654–659.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12009
Loading
/content/journals/10.1111/1365-2478.12009
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Acoustics; Attenuation; Modelling; Rock physics; Seismics

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error