1887
Volume 72, Issue 5
  • E-ISSN: 1365-2478

Abstract

Abstract

Seismic response from porous sediments can be used in reservoir characterization and fluid detection. Reflection coefficient at the isotropic/poroelastic interface is essential to reveal seismic response from the fluid‐saturated deposits. The exact normal incidence reflection coefficient is given by complex mathematic expression and not very clear relations with solid and fluid properties. Therefore, we derive the reflection coefficient approximate formula in series with respect to the square root of the imaginary unit multiplying by the ratio between angular frequency and the characteristic angular frequency. Compared to the exact reflection coefficient, the proposed approximate formula has a more concise mathematical form and clearer relationship with the moduli and densities. Meanwhile, there is no need to calculate the complex wavenumbers of poroelastic media from the dispersion equation as the exact reflection coefficient. When the frequency tends to zero, the approximate formula is consistent with reflection coefficient for the isotropic/isotropic interface. The proposed formula's applicability is verified through two models with an interface separating the mudstone and fully fluid‐saturated sandstone with pore fluids as water or carbon dioxide.

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2024-05-21
2025-11-13
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References

  1. Arora, A. & Tomar, S. (2010) Seismic reflection from an interface between an elastic solid and a fractured porous medium with partial saturation. Transport in Porous Media, 85, 375–396.
    [Google Scholar]
  2. Berryman, J.G. (1981) Elastic wave propagation in fluid‐saturated porous media. The Journal of the Acoustical Society of America, 69, 416–424.
    [Google Scholar]
  3. Biot, M.A. (1956) Theory of elastic waves in a fluid‐saturated porous solid. 1. Low frequency range. The Journal of the Acoustical Society of America, 28, 168–178.
    [Google Scholar]
  4. Bourbié, T., Coussy, O. & Zinszner, B. (1987) Acoustics of porous media. Houston: Gulf Publishing Company.
    [Google Scholar]
  5. Carcione, J.M., Gei, D., Gurevich, B. & Ba, J. (2021) On the normal‐incidence reflection coefficient in porous media. Surveys in Geophysics, 42, 923–942.
    [Google Scholar]
  6. Coyner, K.B. (1984) Effects of stress, pore pressure, and pore fluids on bulk strain, velocity, and permeability in rocks. (Ph.D thesis). Massachusetts Institute of Technology.
  7. Denneman, A.I., Drijkoningen, G.G., Smeulders, D.M. & Wapenaar, K. (2002) Reflection and transmission of waves at a fluid/porous‐medium interface. Geophysics, 67, 282–291.
    [Google Scholar]
  8. Deresiewicz, H. & Skalak, R. (1963) On uniqueness in dynamic poroelasticity. Bulletin of the Seismological Society of America, 53, 783–787.
    [Google Scholar]
  9. Deresiewicz, H. & Rice, J. (1964) The effect of boundaries on wave propagation in a liquid‐filled porous solid: V. Transmission across a plane interface. Bulletin of the Seismological Society of America, 54, 409–416.
    [Google Scholar]
  10. Dupuy, B. & Stovas, A. (2014) Influence of frequency and saturation on AVO attributes for patchy saturated rocks AVO attributes and patchy saturation. Geophysics, 79, B19–B36.
    [Google Scholar]
  11. Dutta, N. & Odé, H. (1983) Seismic reflections from a gas‐water contact. Geophysics, 48, 148–162.
    [Google Scholar]
  12. Dvorkin, J., Mavko, G. & Nur, A. (1995) Squirt flow in fully saturated rocks. Geophysics, 60, 97–107.
    [Google Scholar]
  13. Gassmann, F. (1951) Über die Elastizität poröser Medien. Vierteljahrsschrift der Naturforschenden Gesellschaft in Zurich, 96, 1–23.
    [Google Scholar]
  14. Geertsma, J. & Smit, D. (1961) Some aspects of elastic wave propagation in fluid‐saturated porous solids. Geophysics, 26, 169–181.
    [Google Scholar]
  15. González, J.G., Sahay, P.N. & Müller, T.M. (2021) S‐wave propagation across material discontinuities in poroelasticity. Geophysics, 86, MR315–MR324.
    [Google Scholar]
  16. Gurevich, B., Ciz, R. & Denneman, A.I. (2004) Simple expressions for normal‐incidence reflection coefficients from an interface between fluid‐saturated porous materials. Geophysics, 69, 1372–1377.
    [Google Scholar]
  17. Gurevich, B., Makarynska, D., de Paula, O.B. & Pervukhina, M. (2010) A simple model for squirt‐flow dispersion and attenuation in fluid‐saturated granular rocks. Geophysics, 75, N109–N120.
    [Google Scholar]
  18. Gurevich, B., Makarynska, D. & Pervukhina, M. (2009) Ultrasonic moduli for fluid‐saturated rocks: Mavko‐Jizba relations rederived and generalized. Geophysics, 74, N25–N30.
    [Google Scholar]
  19. Hajra, S. & Mukhopadhyay, A. (1982) Reflection and refraction of seismic waves incident obliquely at the boundary of a liquid‐saturated porous solid. Bulletin of the Seismological Society of America, 72, 1509–1533.
    [Google Scholar]
  20. Mavko, G. & Jizba, D. (1991) Estimating grain‐scale fluid effects on velocity dispersion in rocks. Geophysics, 56, 1940–1949.
    [Google Scholar]
  21. Mavko, G., Mukerji, T. & Dvorkin, J. (2020) The rock physics handbook, 3rd edition. Cambridge: Cambridge University Press.
    [Google Scholar]
  22. Morozov, I.B. & Deng, W. (2018) Internal boundary conditions in heterogeneous anelastic media. Geophysical Journal International, 215, 2047–2059.
    [Google Scholar]
  23. Qi, Q., Cao, J.‐X., Wang, X.‐J. & Gao, J. (2021) Influence of interface condition on reflection of elastic waves in fluid‐saturated porous media. Geophysics, 86, MR223–MR233.
    [Google Scholar]
  24. Russell, B.H., Gray, D. & Hampson, D.P. (2011) Linearized AVO and poroelasticity. Geophysics, 76, C19–C29.
    [Google Scholar]
  25. Santos, J.E., Corbero, J.M., Ravazzoli, C.L. & Hensley, J.L. (1992) Reflection and transmission coefficients in fluid‐saturated porous media. The Journal of the Acoustical Society of America, 91, 1911–1923.
    [Google Scholar]
  26. Shekhar, S. & Parvez, I.A. (2016) Reflection and refraction of attenuated waves at the interface between cracked poroelastic medium and porous solid saturated with two immiscible fluids. Transport in Porous Media, 113, 405–430.
    [Google Scholar]
  27. Silin, D. & Goloshubin, G. (2010) An asymptotic model of seismic reflection from a permeable layer. Transport in Porous Media, 83, 233–256.
    [Google Scholar]
  28. Silin, D.B., Korneev, V., Goloshubin, G. & Patzek, T. (2006) Low‐frequency asymptotic analysis of seismic reflection from a fluid‐saturated medium. Transport in Porous Media, 62, 283–305.
    [Google Scholar]
  29. Wang, E., Ba, J., Carcione, J.M., Liu, Y. & Dong, H. (2020) Effect of local fluid flow on the reflection and transmission of elastic waves at an interface between an elastic solid and a double‐porosity medium LFF effect on reflection and transmission. Geophysics, 85, T237–T256.
    [Google Scholar]
  30. Wang, J.T., Jin, F. & Zhang, C.H. (2013) Reflection and transmission of plane waves at an interface of water/porous sediment with underlying solid substrate. Ocean Engineering, 63, 8–16.
    [Google Scholar]
  31. Yang, C. & Wang, Y. (2018) Reflection and transmission coefficients of poroelastic thin‐beds. Journal of Geophysics and Engineering, 15, 2209–2220.
    [Google Scholar]
  32. Zhao, L., Han, D.H., Yao, Q., Zhou, R. & Yan, F. (2015) Seismic reflection dispersion due to wave‐induced fluid flow in heterogeneous reservoir rocks. Geophysics, 80, D221–D235.
    [Google Scholar]
  33. Zhou, D., Yin, X. & Zong, Z. (2020) Closed‐form expressions of plane‐wave reflection and transmission coefficients at a planar interface of porous media with a normal incident fast P‐wave. Pure and Applied Geophysics, 177, 2605–2617.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): analytical solution; AVA; modeling; reflection coefficients

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