Approximation for reflection and transmission at a thin isotropic poroelastic bed between two isotropic elastic half‐spaces

References

1. Aki, K.I. & Richards, P.G. (1980) Quantitative seismology. California: W.H. Freeman & Co.
   [Google Scholar]
2. Baird, G.E., Thomas, P.D. & Sang, G. (1996) The propagation of elastic waves through a layered poroelastic medium. The Journal of the Acoustical Society of America, 99, 3385–3392.
   [Google Scholar]
3. Biot, M.A. (1956a) Theory of propagation of elastic waves in a fluid‐saturated porous solid, II. Higher frequency range. The Journal of the acoustical Society of America, 28, 179–191.
   [Google Scholar]
4. Biot, M.A. (1956b) Theory of propagation of elastic waves in a fluid saturated porous solid, I. Low‐frequency range. The Journal of the Acoustical Society of America, 28, 168–178.
   [Google Scholar]
5. Biot, M.A. & Willis, D.G. (1957) The elastic coefficients of the theory of consolidation. The Journal of Applied Mechanics, 24(4), 594–601.
   [Google Scholar]
6. 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]
7. Carcione, J.M. & Picotti, S. (2006) P‐wave seismic attenuation by slow‐wave diffusion: effects of inhomogeneous rock properties. Geophysics, 71, O1–O8.
   [Google Scholar]
8. Chabyshova, E. & Goloshubin, G. (2014) Seismic modeling of low‐frequency “shadows” beneath gas reservoirs. Geophysics, 79, D417–D423.
   [Google Scholar]
9. Chen, W., Wang, Z., Zhao, K., Chen, G. & Li, X. (2015) Reflection of acoustic wave from the elastic seabed with an overlying gassy poroelastic layer. Geophysical Journal International, 203, 213–227.
   [Google Scholar]
10. 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]
11. Deresiewicz, H. & Skalak, R. (1963) On uniqueness in dynamic poroelasticity. Bulletin of the seismological society of America, 53, 783–788.
    [Google Scholar]
12. 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]
13. Geertsma, J. & Smit, D. (1961) Some aspects of elastic wave propagation in fluid‐saturated porous solids. Geophysics, 26, 169–181.
    [Google Scholar]
14. Gelinsky, S. & Shapiro, S. (1997) Dynamic‐equivalent medium approach for thinly layered saturated sediments. Geophysical Journal International, 128, F1–F4.
    [Google Scholar]
15. González, J.G., Sahay, P.N. & Müller, T.M. (2023) Acoustic signature of impermeable barriers in porous media. Geophysical Journal International, 234(3), 2095–2113.
    [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. He, Y.X., Wang, S., Tang, G., Wu, X. & Xi, B. (2021) Analysis of wave dispersion and attenuation effects on seismic low‐frequency reflections of a poroelastic layer. Exploration Geophysics, 52, 77–97.
    [Google Scholar]
18. Jin, S. & Stovas, A. (2020) Exact and approximate reflection/transmission responses from a layer containing vertical fractures. Geophysical Journal International, 222, 260–280.
    [Google Scholar]
19. Jin, S., Hu, X.Y., Li, X.L. & Stovas, A. (2024) Tuning effects of a thin layer with triclinic anisotropy. Geophysics, 89, C1–C16.
    [Google Scholar]
20. Jocker, J., Smeulders, D., Drijkoningen, G., van der Lee, C. & Kalfsbeek, A. (2004) Matrix propagator method for layered porous media: analytical expressions and stability criteria. Geophysics, 69, 1071–1081.
    [Google Scholar]
21. Korneev, V.A., Goloshubin, G.M., Daley, T.M. & Silin, D.B. (2004) Seismic low‐frequency effects in monitoring fluid‐saturated reservoirs. Geophysics, 69, 522–532.
    [Google Scholar]
22. Kumari, M., Barak, M.S. & Kumar, M. (2017) Seismic reflection and transmission coefficients of a single layer sandwiched between two dissimilar poroelastic solids. Petroleum Science, 14, 676–693.
    [Google Scholar]
23. Martinez Corredor, R., Santos, J.E., Gauzellino, P.M. & Carcione, J.M. (2014) Reflection and transmission coefficients of a single layer in poroelastic media. The Journal of the Acoustical Society of America, 135, 3151–3162.
    [Google Scholar]
24. Nur, A., Mavko, G., Dvorkin, J. & Galmudi, D. (1998) Critical porosity: a key to relating physical properties to porosity in rocks. The Leading Edge, 17, 357–362.
    [Google Scholar]
25. Quintal, B., Schmalholz, S.M. & Podladchikov, Y.Y. (2009) Low‐frequency reflections from a thin layer with high attenuation caused by interlayer flow. Geophysics, 74, N15–N23.
    [Google Scholar]
26. Quintal, B., Schmalholz, S.M. & Podladchikov, Y.Y. (2011) Impact of fluid saturation on the reflection coefficient of a poroelastic layer. Geophysics, 76, N1–N12.
    [Google Scholar]
27. Santos, J.E., Carcione, J.M., Savioli, G.B. & Ba, J. (2021) On the seismic response of a periodic sequence of three thin layers saturated by two‐phase fluids. Geophysics, 86, T401–T410.
    [Google Scholar]
28. Sharma, M.D. & Kumar, M. (2011) Reflection of attenuated waves at the surface of a porous solid saturated with two immiscible viscous fluids. Geophysical Journal International, 184, 371–384.
    [Google Scholar]
29. Silin, D. & Goloshubin, G. (2010) An asymptotic model of seismic reflection from a permeable layer. Transport in Porous Media, 83, 233–256.
    [Google Scholar]
30. Tomar, S.K. & Arora, A. (2006) Reflection and transmission of elastic waves at an elastic/porous solid saturated by two immiscible fluids. International Journal of Solids and Structures, 43, 1991–2013.
    [Google Scholar]
31. Ursin, B. & Stovas, A. (2002) Reflection and transmission responses of a layered isotropic viscoelastic medium. Geophysics, 67, 307–323.
    [Google Scholar]
32. 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]
33. Wang, S.X. (1990) Numerical solutions of the finite element method for the elastic wave problem and AVO problems in two‐phase media. Ph.D. thesis, China University of Petroleum.
34. White, J.E., Mihailova, N. & Lyakhovitsky, F. (1975) Low‐frequency seismic waves in fluid‐saturated layered rocks. The Journal of the Acoustical Society of America, 57, S30.
    [Google Scholar]
35. Widess, M. (1973) How thin is a thin bed?Geophysics, 38, 1176–1180.
    [Google Scholar]
36. Wu, K., Xue, Q. & Adler, L. (1990) Reflection and transmission of elastic waves from a fluid saturated porous solid boundary. The Journal of the Acoustical Society of America, 87(6), 2349–2358.
    [Google Scholar]
37. Yang, C. & Wang, Y. (2018) Reflection and transmission coefficients of poroelastic thin‐beds. Journal of Geophysics and Engineering, 15, 2209–2220.
    [Google Scholar]
38. Yang, C., Stovas, A., Wang, Y. & Wang, L.H. (2023a) Reflections and transmissions from a porous layer sandwiched between seawater and solid substrate. Ocean Engineering, 288, 116075.
    [Google Scholar]
39. Yang, C., Stovas, A., Wang, Y., Li, M.Q. & Tian, Y.J. (2023b) Dissipation factor and phase velocity approximate formulas for P‐waves in fluid‐saturated porous media. Waves in Random and Complex Media, 1–18, Available from: https://doi.org/10.1080/17455030.2022.2164383
    [Google Scholar]
40. Yang, C., Wang, Y., Stovas, A. & Wang, L.H. (2024) Modified Biot elastic coefficients in poroelastic solid. Journal of Earth Science, 35, 1397–1401.
    [Google Scholar]
41. Yang, C., Stovas, A., Wang, Y., Wang, Y.J. & Wang, Z.H. (2024) Normal incidence reflection coefficient approximation at an isotropic‐poroelastic interface. Geophysical Prospecting, 72, 2076–2084.
    [Google Scholar]