1887

Abstract

Summary

To approximate seismic wave propagation in double porosity media we use the governing equations of effective Biot theory with complex phase velocity and attenuation dispersion characteristics. To upscale them and extend to shear waves we use the poro-viscoelastic modeling approach of multiple fractional Zener elements and apply a frequency-space domain mixed grid finite difference simulation method to calculate wavefields for solid particle velocity, fluid flux and pore pressure.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201901909
2019-06-03
2019-12-14
Loading full text...

Full text loading...

References

  1. Carcione, J.M., Morency, C. and Santos, J.E.
    [2010] Computational poroelasticity - A review. Geophysics, 75(5), 75A229–75A243.
    [Google Scholar]
  2. Cole, K.S. and Cole, R.H.
    [1941] Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics. Journal of Chemical Physics, 9, 341–351.
    [Google Scholar]
  3. Hustedt, B., Operto, S. and Virieux, J.
    [2004] Mixed-grid and staggered-grid finite-difference methods for frequency-domain acoustic wave modelling. Geophysical Journal International, 157, 1269–1296.
    [Google Scholar]
  4. Jones, T.D.
    [1986] Pore fluids and frequency-dependent wave propagation in rocks. Geophysics, 51(10), 1939–1953.
    [Google Scholar]
  5. Liu, X., Greenhalgh, S., Zhou, B. and Greenhalgh, M.
    , [2018] Effective Biot theory and its generalization to poro-viscoelastic methods. Geophysical Journal International, 212, 1255–1273.
    [Google Scholar]
  6. Liu, X., and Greenhalgh, S.
    [2018] Numerical modeling of poro-viscoelastic wave propagation in effective Biot media using a mixed grid finite difference frequency-space domain approach. SEG Technical Program Expanded Abstracts 2018, DOI: 10.1190/segam2018‑2993286.1.
    https://doi.org/10.1190/segam2018-2993286.1 [Google Scholar]
  7. Markova, I., Sadovnychiy, S., Markov, M.
    [2011] Acoustic log simulation in a viscoelastic formation Cole-Cole model. Journal of Applied Geophysics, 74, 294–301.
    [Google Scholar]
  8. Pratt, R.G. & Worthington, M.H.
    [1990] Inverse theory applied to multisource cross-hole tomography, part 1: Acoustic wave-equation method. Geophysical Prospecting, 38, 287–310.
    [Google Scholar]
  9. Pride, S.R., Berryman, J.G. and Harris, J.M.
    [2004] Seismic attenuation due to wave-induced flow. Journal of Geophysical Research, 109, B01201, 1–19.
    [Google Scholar]
  10. Saenger, E.H., Gold, N. & Shapiro, A.
    [2000] Modeling the propagation of elastic waves using a modified finite-difference grid. Wave Motion, 31, 77–92.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201901909
Loading
/content/papers/10.3997/2214-4609.201901909
Loading

Data & Media loading...

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