1887
Volume 71 Number 9
  • E-ISSN: 1365-2478

Abstract

Abstract

Pore aspect ratio, together with porosity, is a structural parameter that represents the geometric property of rock reservoirs. We have adopted the theory of ellipsoid modelling in material mechanics to derive the dry rock modulus. Based on this derivation, the Gassmann equation, which is a constitutional equation for a fully saturated rock model, can be linearized in terms of the pore structure parameters and the elastic parameters. We have established a relationship between the seismic reflection coefficient and the pore structure parameters, where the equivalent pore aspect ratio and porosity are two key parameters. Based on this relationship, the equivalent pore aspect ratio can be inverted directly from seismic reflection data instead of being converted from the intermediate parameters of conventional seismic inversion. Therefore, seismic inversion is a simultaneous inversion in which seven parameters are inverted: the elastic moduli (matrix bulk modulus and shear modulus, fluid bulk modulus), the densities (matrix and fluid densities) and the pore structure parameters (the equivalent pore aspect ratio and porosity). We applied this direct inversion scheme to a carbonate reservoir to predict the fracture development zone with low porosity and low aspect ratio.

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2023-11-10
2026-02-17
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References

  1. Alemie, W. & Sacchi, M.D. (2011) High‐resolution three‐term AVO inversion by means of a Trivariate Cauchy probability distribution. Geophysics, 76(3), R43–R55. https://doi.org/10.1190/1.3554627.
    [Google Scholar]
  2. Brown, E.J. & Bardsley, W.E. (1999) The velocity‐deviation log: a tool to predict pore type and permeability trends in carbonate drill holes from sonic and porosity or density logs. AAPG Bulletin, 216(3), 137–144. https://doi.org/10.1016/S0022‐1694(98)00294‐7.
    [Google Scholar]
  3. Benveniste, Y. (1987) A new approach to the application of Mori‐Tanaka's theory in composite materials. Mechanics of Materials, 6(2), 147–157. https://doi.org/10.1016/0167‐6636(87)90005‐6.
    [Google Scholar]
  4. David, E.C. & Zimmerman, R.W. (2011) Compressibility and shear compliance of spheroidal pores: exact derivation via the Eshelby tensor, and asymptotic expressions in limiting cases. International Journal of Solids and Structures, 48(5), 680–686. https://doi.org/10.1016/j.ijsolstr.2010.11.001.
    [Google Scholar]
  5. De Figueiredo, L.P., Grana, D., Santos, M., Figueiredo, W., Roisenberg, M. & Schwedersky Neto, G. (2017) Bayesian seismic inversion based on rock‐physics prior modeling for the joint estimation of acoustic impedance, porosity and lithofacies. Journal of Computational Physics, 336, 128–142. https://doi.org/10.1016/j.jcp.2017.02.013.
    [Google Scholar]
  6. Eshelby, J.‐D., (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 241(1226), 376–396. https://doi.org/10.1098/rspa.1957.0133.
    [Google Scholar]
  7. Fournier, F.O., Leonide, P., Biscarrat, K.V., Gallois, A., Borgomano, J. & Foubert, A. (2011) Elastic properties of microporous cemented grainstones. Geophysics, 76(6), E211–E226. https://doi.org/10.1190/geo2011‐0047.1.
    [Google Scholar]
  8. Fournier, F.O., Pellerin, M., Villeneuve, Q., Teillet, T., Hong, F., Poli, E. et al. (2018) The equivalent pore aspect ratio as a tool for pore type prediction in carbonate reservoirs. AAPG Bulletin, 102(7), 1343–1377. https://doi.org/10.1306/10181717058.
    [Google Scholar]
  9. Gassmann, F. (1951) Über die Elastizität poröser Medien. Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich, 96, 1–23.
    [Google Scholar]
  10. Goodway, B., Chen, T. & Downton, J. (1997) Improved AVO fluid detection and lithology discrimination using lamé petrophysical parameters; “λρ”, “μρ”, & “λ/μ fluid stack”, from P and S inversions. SEG technical program expanded abstracts, pp. 183–186. https://doi.org/10.1190/1.1885795.
  11. Grana, D. (2016) Bayesian linearized rock‐physics inversion. Geophysics, 81(6), D625–D641. https://doi.org/10.1190/GEO2016‐0161.1.
    [Google Scholar]
  12. Gray, D., Goodway, B. & Chen, T. (1999) Bridging the gap: using AVO to detect changes in fundamental elastic constants. SEG technical program expanded abstracts, pp. 852–855. https://doi.org/10.1190/1.1821163.
  13. Hill, R. (1952) The elastic behaviour of a crystalline aggregate. Proceedings of the Physical Society, 65, 349. https://doi.org/10.1088/0370‐1298/65/5/307.
    [Google Scholar]
  14. Keys, R.G. & Xu, S. (2002) An approximation for the Xu‐White velocity model. Geophysics, 67(5), 1406–1414. https://doi.org/10.1190/1.1815784.
    [Google Scholar]
  15. Kumar, M. & Han, D.H. (2005) Pore shape effect on elastic properties of carbonate rocks. SEG technical program expanded abstracts, pp. 1477–1480. https://doi.org/10.1190/1.2147969.
  16. Lang, X. & Grana, D. (2018) Bayesian linearized petrophysical amplitude variation with offset inversion. Geophysics, 83(3), M1–M13. https://doi.org/10.1190/GEO2017‐0364.1.
    [Google Scholar]
  17. Liu, Q., Dong, N., Ji, Y. & Chen, T. (2018) Direct reservoir property estimation based on prestack seismic inversion. Journal of Petroleum Science and Engineering, 171, 1475–1486. https://doi.org/10.1016/j.petrol.2018.08.028.
    [Google Scholar]
  18. Mavko, G., Mukerji, T. & Dvorkin, J. (2020) The rock physics handbook. Cambridge: Cambridge University Press. https://doi.org/10.1017/9781108333016.
    [Google Scholar]
  19. Mori, T. & Tanaka, K. (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 21(5), 571–574. https://doi.org/10.1016/0001‐6160(73)90064‐3.
    [Google Scholar]
  20. Russell, B.H., Gray, D. & Hampson, D.P. (2011) Linearized AVO and poroelasticity. Geophysics, 76(3), C19–C29. https://doi.org/10.1190/1.3555082.
    [Google Scholar]
  21. Russell, B.H., Hedlin, K., Hilterman, F.J. & Lines, L.R. (2003) Fluid‐property discrimination with AVO: a Biot‐Gassmann perspective. Geophysics, 68(1), 29–39. https://doi.org/10.1190/1.1543192.
    [Google Scholar]
  22. Saberi, M.R. (2020) Fluid detection in carbonate rocks by integrating well logs and seismic attributes. Interpretation, 8(1), SA1–SA10. https://doi.org/10.1190/INT‐2019‐0054.1.
    [Google Scholar]
  23. Saltzer, R., Finn, C. & Burtz, O. (2005) Predicting V shale and porosity using cascaded seismic and rock physics inversion. The Leading Edge, 24(7), 732–736. https://doi.org/10.1190/1.1993269.
    [Google Scholar]
  24. Sayers, C.M. (2008) The elastic properties of carbonates. The Leading Edge, 27(8), 1020–1024. https://doi.org/10.1190/1.2967555.
    [Google Scholar]
  25. Smith, G.C. & Gidlow, P.M. (1987) Weighted stacking for rock property estimation and detection of gas. Geophysical Prospecting, 35, 993–1014. https://doi.org/10.1111/j.1365‐2478.1987.tb00856.x.
    [Google Scholar]
  26. Sun, Y.‐F. (2004) Seismic signatures of rock pore structure. Applied Geophysics, 1(1), 42–49. https://doi.org/10.1007/s11770‐004‐0029‐6.
    [Google Scholar]
  27. Walsh, J.B. (1965) The effect of cracks on the uniaxial elastic compression of rocks. Journal of Geophysical Research, 70(2), 399–411. https://doi.org/10.1029/jz070i002p00399.
    [Google Scholar]
  28. Wang, Y. (2003) Seismic Amplitude Inversion in Reflection Tomography. Amsterdam: Elsevier.
    [Google Scholar]
  29. Wang, Y. (2016) Seismic Inversion: Theory and Applications. Oxford: Wiley Blackwell.
    [Google Scholar]
  30. Wood, A.B. & Lindsay, R.B. (1956) A Textbook of Sound. Physics Today, 9, 37. https://doi.org/10.1063/1.3059819.
    [Google Scholar]
  31. Xu, S. & Payne, M.A. (2009) Modeling elastic properties in carbonate rocks. The Leading Edge, 28, 66–74. https://doi.org/10.1190/1.3064148.
    [Google Scholar]
  32. Zhao, L., Nasser, M. & Han, D.‐H. (2013) Quantitative geophysical pore‐type characterization and its geological implication in carbonate reservoirs. Geophysical Prospecting, 61(4), 827–841. https://doi.org/10.1111/1365‐2478.12043.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): inversion; rock physics; seismics

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