Estimating the anisotropy of the vertical transverse isotropy coal seam by rock physics model–based inversion

References

1. Brown, R.J.S. & Korringa, J. (1975) On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid. Geophysics, 40(4), 608–616.
   [Google Scholar]
2. Cheng, C. (1993) Crack models for a transversely isotropic medium. Journal of Geophysical Research, 98(B1), 675–684.
   [Google Scholar]
3. Dewhurst, D.N., Siggins, A.F., Sarout, J., Raven, M.D. & Bolås, H.N. (2011) Geomechanical and ultrasonic characterization of a Norwegian Sea shale. Geophysics, 76(3), WA101–WA111.
   [Google Scholar]
4. Guo, Z., Li, X. & Liu, C. (2014) Anisotropy parameters estimate and rock physics analysis for the Barnett Shale. Journal of Geophysics and Engineering, 11(6), 1–10.
   [Google Scholar]
5. Hornby, B.E. (1998) Experimental laboratory determination of the dynamic elastic properties of wet, drained shales. Journal of Geophysical Research: Solid Earth, 103(B12), 29945–29964.
   [Google Scholar]
6. Li, Y.Y., Cheng, C.H. & You, N. (2019) Shale anisotropy estimation from logs in vertical wells. Journal of Geophysical Research: Solid Earth, 124(7), 6602–6611.
   [Google Scholar]
7. Liu, J. & Wei, X.C. (2014) A new equivalent elastic model for fracture medium. In: The 3rd International Symposium on Seismic Rock Physics, Shanghai.
8. Liu, X.W., Guo, Z.Q., Liu, C. & Liu, Y.W. (2017) Anisotropy rock physics model for the Longmaxi Shale gas reservoir, Sichuan Basin, China. Applied Geophysics, 14(1), 21–30.
   [Google Scholar]
9. Lo, T., Coyner, K. & Toksöz, M. (1986) Experimental determination of elastic anisotropy of Berea Sandstone, Chicopee Shale and Chelmsford Granite. Geophysics, 51(1), 164–171.
   [Google Scholar]
10. Mavko, G., Mukerji, T. & Dovrkin, J. (2009) The rock physics handbook, 2nd edition, New York: Cambridge University Press.
    [Google Scholar]
11. Morcote, A., Mavko, G. & Prasad, M. (2010) Dynamic elastic properties of coal. Geophysics, 75(6), E227–E234.
    [Google Scholar]
12. Mori, T. & Tanaka, K. (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 21, 571–574.
    [Google Scholar]
13. Qian, K., Zhang, F., Chen, S., Li, X.Y. & Zhang, H. (2016) A rock physics model for analysis of anisotropic parameters in a shale reservoir in Southwest China. Journal of Geophysics and Engineering, 13(1), 19–34.
    [Google Scholar]
14. Rüger, A. (1997) P‐wave reflection coefficients for transversely isotropic models with vertical and horizontal axis of symmetry. Geophysics, 62(3), 713–722.
    [Google Scholar]
15. Rüger, A. (1998) Variation of P‐wave reflectivity with offset and azimuth in anisotropic media. Geophysics, 63(3), 935–947.
    [Google Scholar]
16. Sarout, J., Molez, L., Gueguen, Y. & Hoteit, N. (2007) Shale dynamic properties and anisotropy under triaxial loading: experimental and theoretical investigations. Physics & Chemistry of the Earth, 32(8/14), 896–906.
    [Google Scholar]
17. Sarout, J. & Guéguen, Y. (2008a) Anisotropy of elastic wave velocities in deformed shales: part 1 – experimental results. Geophysics, 73(5), D75–D89.
    [Google Scholar]
18. Sarout, J. & Guéguen, Y. (2008b) Anisotropy of elastic wave velocities in deformed shales: part 2 – modeling results. Geophysics, 73(5), D91–D103.
    [Google Scholar]
19. Sarout, J., Piane, C.D., Nadri, D., Esteban, L. & Dewhurst, D.N. (2015) A robust experimental determination of Thomsen's δ parameter. Geophysics, 80(1), A19–A24.
    [Google Scholar]
20. Sayers, C.M. (2013a) The effect of kerogen on the elastic anisotropy of organic‐rich shales. Geophysics, 78(2), D65–D74.
    [Google Scholar]
21. Sayers, C.M. (2013b) The effect of anisotropy on the Young's moduli and Poisson's ratios of shales. Geophysical Prospecting, 61(2), 416–426.
    [Google Scholar]
22. Tan, W.H., Ba, J., Muller, T., Fang, G. & Zhao, H.B. (2020) Rock physics model of tight oil siltstone for seismic prediction of brittleness. Geophysical Prospecting, 68(5), 1554–1574.
    [Google Scholar]
23. Thomsen, L.A. (1986) Weak elastic anisotropy. Geophysics, 51(10), 1954–1966.
    [Google Scholar]
24. Vernik, L. & Nur, A. (1992) Ultrasonic velocity and anisotropy of hydrocarbon source rocks. Geophysics, 57(5), 727–735.
    [Google Scholar]
25. Vernik, L. & Liu, X. (1997) Velocity anisotropy in shales: a petrophysical study. Geophysics, 62(2), 521–532.
    [Google Scholar]
26. Wang, Z. (2002) Seismic anisotropy in sedimentary rocks, part 2: laboratory data. Geophysics, 67(5), 1423–1440.
    [Google Scholar]
27. Wu, H.B., Huang, Y.P., Zhang, P.S., Ji, G.Z., Dong, S.H. & Ding, H. (2021) Rock physics model for coal‐bed methane reservoir and its application based on equivalent medium theory. Chinese Journal of Geophysics (in Chinese), 64(6), 2184–2198.
    [Google Scholar]
28. Zhang, F., Li, X. & Qian, K. (2017) Estimation of anisotropy parameters for shales based on an improved rock physics model, part 1: theory. Journal of Geophysics and Engineering, 14(1), 143–158.
    [Google Scholar]
29. Zhang, F. (2017) Estimation of anisotropy parameters for shales based on an improved rock physics model, part 2: case study. Journal of Geophysics and Engineering, 14(1), 238–254.
    [Google Scholar]
30. Zhang, F. (2019) A modified rock physics model of overmature organic‐rich shale: application to anisotropy parameter prediction from well logs. Journal of Geophysics and Engineering, 16(1), 92–104.
    [Google Scholar]