1887
Volume 73, Issue 8
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

The amplitude variation with offset (AVO) inversion method is crucial for predicting lithology and identifying fluids in hydrocarbon reservoirs. It is especially useful for evaluating shale oil or shale gas reservoirs. The accuracy of AVO inversion is critical to the quantitative interpretation of lithology and hydrocarbon‐bearing properties in reservoirs with vertical transverse isotropic (VTI) features. This work proposes a rock‐physics‐constrained anisotropic AVO inversion method to achieve stable density estimations in VTI media. This method establishes a new parameter set with density as an independent variable by transforming the conventional elastic parameter domain into a deviation parameter domain through rock‐physics‐constrained equations. Combined with the explicit form of the Rüger approximation, this approach not only eliminates correlations among conventional inversion parameters and mitigates the impact of anisotropy but also significantly improves the accuracy of density inversion. The feasibility and effectiveness of the proposed inversion method are demonstrated through the application of synthetic and field seismic data.

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2025-10-24
2025-11-09
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References

  1. Asaka, M.2018. “Anisotropic AVO: Implications for Reservoir Characterization: The Leading Edge.” Leading Edge37, no. 12: 916–923. https://doi.org/10.1190/tle37120916.1.
    [Google Scholar]
  2. Avseth, P., T.Mukerji, and G.Mavko. 2005. Quantitative Seismic Interpretation: Applying Rock Physics Tools to Reduce Interpretation Risk. Cambridge University Press.
    [Google Scholar]
  3. Bakulin, A., V.Grechka, and I.Tsvankin. 2000. “Estimation of Fracture Parameters From Reflection Seismic Data—Part I: HTI Model Due to a Single Fracture Set.” Geophysics65, no. 6: 1788–1802. https://doi.org/10.1190/1.1444863.
    [Google Scholar]
  4. Castagna, J. P., M. L.Batzle, and R. L.Eastwood. 1985. “Relationship Between Compressional‐Wave and Shear‐Wave Velocities in Clastic Silicate Rocks.” Geophysics50: 571–581. https://doi.org/10.1190/1.1441933.
    [Google Scholar]
  5. Downton, J. E., and B.Roure. 2015. “Interpreting Azimuthal Fourier Coefficients for Anisotropic and Fracture Parameters.” Interpretation3, no. 3: ST9–ST27. https://doi.org/10.1190/INT‐2014‐0235.1.
    [Google Scholar]
  6. Fatti, J. L., P. J.Vail, G. C.Smith, P. J.Strauss, and P. R.Levitt. 1994. “Detection of Gas in Sandstone Reservoirs Using AVO Analysis: A 3‐D Seismic Case History Using the Geostack Technique.” Geophysics59, no. 9: 1362–1376. https://doi.org/10.1190/1.1443695.
    [Google Scholar]
  7. Gardner, G. H. F., L. W.Gardner, and A. R.Gregory. 1974. “Formation Velocity and Density—The Diagnostic Basics for Stratigraphic Traps.” Geophysics39: 770–780.
    [Google Scholar]
  8. Graebner, M.1992. “Plane‐Wave Reflection and Transmission Coefficients for a Transversely Isotropic Solid.” Geophysics57, no. 11: 1512–1519. https://doi.org/10.1190/1.1443219.
    [Google Scholar]
  9. Hampson, D. P., B. H.Russell, and B.Bankhead. 2005. Simultaneous Inversion of Pre‐Stack Seismic Data: 75th Annual International Meeting, SEG, Expanded Abstracts. SEG.
  10. He, S., Q. R.Qin, C. H.Fan, et al. 2019. “Characteristics and Influencing Factors of Shale Reservoirs in the Wufeng–Longmaxi Formation, Dingshan Area, Southeastern Sichuan Basin.” Reservoir Evaluation and Development9, no. 4: 61–78.
    [Google Scholar]
  11. Holt, R. M., A.Bakk, E.Fjær, S.Lozovyi, and K. S.Mews. 2023. “Elastic Dispersion in Shale: Laboratory Tests and Rock Physics Modeling.” Paper presented at the Third International Meeting for Applied Geoscience & Energy Expanded Abstracts. https://doi.org/10.1190/image2023‐3910450.1.
  12. Holt, R. M., A.Bakk, and J. F.Stenebraten. 2010. “Stress‐Induced Anisotropy in Brine‐Saturated Shale.” Geophysical Journal International182, no. 2: 999–1010. https://doi.org/10.1111/j.1365‐246X.2010.04653.x.
    [Google Scholar]
  13. Holt, R. M., A.Bakk, J. F.Stenebraten, A.Bauer, and E.Fjær. 2018. “Stress‐Path‐Dependent Velocities in Shales: Impact on 4D Seismic Interpretation.” Geophysics83, no. 6: MR353–MR367. https://doi.org/10.1190/geo2017‐0652.1.
    [Google Scholar]
  14. Hu, W. G., Z. J.Liu, C. H.Fan, et al. 2014. “Seismic Prediction and Evaluation of Shale Fractures in the Silurian Longmaxi Shale at J Area in Sichuan Basin.” Marine Origin Petroleum Geology19, no. 4: 25–30.
    [Google Scholar]
  15. Jin, Z. J., Z. Q.Hu, B.Gao, et al. 2016. “Controlling factors on the enrichment and high productivity of shale gas in the Wufeng‐Longmaxi Formations, southeastern Sichuan Basin.” Earth Science Frontiers23, no. 1: 1–10. https://doi.org/10.13745/j.esf.2016.01.001.
    [Google Scholar]
  16. Kemper, M., and J.Gunning. 2014. “Joint Impedance and Facies Inversion—Seismic inversion redefined.” First Break32, no. 9. https://doi.org/10.3997/1365‐2397.32.9.77968.
    [Google Scholar]
  17. Kim, K. I. Y., K. H.Wrolstad, and F.Aminzadeh. 1993. “Effects of transverse isotropy on P‐wave AVO for gas sands.” Geophysics58: 883–888. https://doi.org/10.1190/1.1443472.
    [Google Scholar]
  18. Li, L., Y.Guo, G.Zhang, et al. 2022. “Seismic Characterization of In Situ Stress in Orthorhombic Shale Reservoirs Using Anisotropic Extended Elastic Impedance Inversion.” Geophysics87, no. 6: N31–N50. https://doi.org/10.1190/geo2021‐0807.1.
    [Google Scholar]
  19. Li, L., Y.Guo, G.Zhang, X.Pan, J.Zhang, and Y.Lin. 2022. “Seismic characterization of in situ stress in orthorhombic shale reservoirs using anisotropic extended elastic impedance inversion.” Geophysics87, no. 6: N31–N50. https://doi.org/10.1190/geo2021‐0807.1.
    [Google Scholar]
  20. Liang, L. F., H. B.Zhang, Z. W.Dan, et al. 2017. “Prestack Density Inversion Using the Fatti Equation Constrained by the P‐ and S‐Wave Impedance and Density.” Applied Geophysics14: 133–141. https://doi.org/10.1007/s11770‐017‐0598‐9.
    [Google Scholar]
  21. Lu, J., Y.Wang, J.Chen, and Y.An. 2018. “Joint Anisotropic Amplitude Variation With Offset Inversion of PP and PS Seismic Data.” Geophysics83, no. 2: N31–N50. https://doi.org/10.1190/GEO2016‐0516.1.
    [Google Scholar]
  22. Luo, C., J.Ba, J. M.Carcione, G.Huang, and Q.Guo. 2020. “Joint PP and PS Pre‐Stack AVA Inversion for VTI Medium Based on the Exact Graebner Equation.” Journal of Petroleum Science and Engineering194: 12–24. https://doi.org/10.1016/j.petrol.2020.107416.
    [Google Scholar]
  23. Mahmoudian, F., G. F.Margrave, J.Wong, and D. C.Henley. 2015. “Azimuthal Amplitude Variation With Offset Analysis of Physical Modeling Data Acquired Over an Azimuthally Anisotropic Medium.” Geophysics80, no. 1: C21–C35. https://doi.org/10.1190/geo2014‐0070.1.
    [Google Scholar]
  24. Nocedal, J., and S. J.Wright. 2006. Numerical Optimization. 2nd ed. Springer.
    [Google Scholar]
  25. Ostrander, W. J.1984. “Plane‐Wave Reflection Coefficients for Gas Sands at Nonnormal Angles of Incidence.” Geophysics49, no. 10: 1637–1648. https://doi.org/10.1071/eg984193a.
    [Google Scholar]
  26. Potter, C. C., A. K.Dey, and R. R.Stewart. 1998. “Density Prediction Using P‐ and S‐Wave Sonic Velocities.” GeoTriad'98: CSPG, CSEG, CWLS Joint Convention Expanded Abstracts. no. 1: 320–320. http://www.crewes.org/ForOurSponsors/ConferenceAbstracts/1998/CSEG‐1998/den_pred.pdf.
    [Google Scholar]
  27. Pu, B., D.Dong, Q.Guan, et al. 2022. “Analysis of main controlling factors for the enrichment and high productivity of the Longmaxi shale gas in Southern Sichuan Basin.” Geophysical Prospecting for Petroleum61, no. 5: 918–928. https://doi.org/10.3969/j.issn.1000‐1441.2022.05.016.
    [Google Scholar]
  28. Rüger, A.2002. Chapter 4. Reflectivity in VTI media, Reflection Coefficients and Azimuthal AVO Analysis in Anisotropic Media. SEG Geophysical Monographs.
    [Google Scholar]
  29. Rüger, A.1997. “P‐wave reflection coefficients for transversely isotropic models With vertical and horizontal axis of symmetry.” Geophysics62: 713–722. https://doi.org/10.1190/1.1444181.
    [Google Scholar]
  30. Ran, Q., Y.Chen, Q.Qi, et al. 2017. “Preservation Conditions of Shale Gas in the Longmaxi Formation, Dingshan Area.” Petroleum Geology and Engineering31, no. 4: 22–25.
    [Google Scholar]
  31. Russell, B. H.2014. “Prestack Seismic Amplitude Analysis: an Integrated Overview: Interpretation.” Interpretation2, no. 2: ST9–ST27. https://doi.org/10.1190/INT‐2013‐0122.1.
    [Google Scholar]
  32. Sams, M., and A.Annamalai. 2018. “Inversion in a VTI Medium.” SEG Technical Program Expanded Abstracts37, no. 1: 436–440. https://doi.org/10.1190/segam2018‐2995238.1.
    [Google Scholar]
  33. Sayers, C M.2013. “The Effect of Kerogen on the Elastic Anisotropy of Organic‐Rich Shales.” Geophysics78, no. 2: D65–D74. https://doi.org/10.1190/geo2012‐0309.1.
    [Google Scholar]
  34. Shearer, P., and J A.Orcutt. 1985. “Anisotropy in the Oceanic Lithosphere—Theory and Observations From the Ngendei Seismic Refraction Experiment in the South‐West Pacific.” Geophysical Journal International80, no. 2: 493–526.
    [Google Scholar]
  35. Song, B., X.‐Y.Li, P.Ding, S.Chen, and J.Cai. 2023. “Direct Pre‐Stack Inversion of Elastic Modulus Using the Exact Zoeppritz Equation and the Application in Shale Reservoir.” Frontiers in Earth Science11, no. 2: 1–16. https://doi.org/10.3389/feart.2023.1107068.
    [Google Scholar]
  36. Song, X., and P G.Richards. 1996. “Seismological Evidence for Differential Rotation of the Earth's Inner Core.” Nature382, no. 6588: 221–224.
    [Google Scholar]
  37. Tanimoto, T., and D.Anderson. 1985. “Lateral Heterogeneity and Azimuthal Anisotropy of the Upper Mantle: Love and Rayleigh Waves 100–250 Sec.” Journal of Geophysical Research: Solid Earth90, no. B2: 1842–1858.
    [Google Scholar]
  38. Thomsen, L.1993. “Weak Anisotropic Reflections.” In Offset‐Dependent Reflectivity: Theory and Practice of AVO Analysis, edited by J. P.Castagna and M. M.Backus, 103–114. Society of Exploration Geophysicists.
    [Google Scholar]
  39. Thomsen, L.1986. “Weak elastic anisotropy.” Geophysics51: 1954–1966. https://doi.org/10.1190/1.1442051.
    [Google Scholar]
  40. Tsvankin, I.2001. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media. 1st ed. Society of Exploration Geophysicists.
    [Google Scholar]
  41. Tsvankin, I.2005. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media. 2nd ed. Society of Exploration Geophysicists. https://doi.org/10.1190/1.9781560801982.
    [Google Scholar]
  42. Tsvankin, I.2012. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media. 3rd ed. Society of Exploration Geophysicists.
    [Google Scholar]
  43. Tsvankin, I., and L.Thomsen. 1995. “Inversion of Reflection Traveltimes for Transverse Isotropy.” Geophysics60, no. 4: 1095–1107.
    [Google Scholar]
  44. Vernik, L., and A.Nur. 1992. “Ultrasonic Velocity and Anisotropy of Hydrocarbon Source Rocks.” Geophysics57, no. 5: 723–735. https://doi.org/10.1190/1.1443286.
    [Google Scholar]
  45. Wirgin, A.2004. “The Inverse Crime.” arXiv, January 28. https://doi.org/10.48550/arXiv.math‐ph/0401050.
  46. Wright, J.1987. “The Effects of Transverse Isotropy on Reflection Amplitudes Versus Offset.” Geophysics52, no. 4: 564–567. https://doi.org/10.1190/1.1442325.
    [Google Scholar]
  47. Yan, F., D. H.Han, and Q.Yao. 2021. “Rock‐Physics Constrained Seismic Anisotropy Parameter Estimation.” Geophysics86, no. 4: MR247–MR253. https://doi.org/10.1190/geo2019‐0153.1.
    [Google Scholar]
  48. Yan, F., L.Vernik, and D.‐H.Han. 2019. “Relationships Between the Anisotropy Parameters for Transversely Isotropic Mudrocks.” Geophysics84, no. 6: MR195–MR203. https://doi.org/10.1190/geo2019‐0088.1.
    [Google Scholar]
  49. YongMing, L. U., and Z. H. A. N. G.Wei. 2022. “Calculating the Traveltimes of qSV and qSH Waves Using Fast Sweeping Method for 2D VTI Media by Solving Quadratic Equation.” Chinese Journal of Geophysics (in Chinese)65, no. 1: 244–255. https://doi.org/10.6038/cjg2022O0446.
    [Google Scholar]
  50. Zeng, Q., S.Chen, P.He, et al. 2018. “Quantitative Prediction of Shale Gas Sweet Spots Based on Seismic Data in Lower Silurian Longmaxi Formation, Weiyuan Area, Sichuan Basin, SW China.” Petroleum Exploration and Development45, no. 3: 422–430. https://doi.org/10.1016/S1876‐3804(18)30047‐8.
    [Google Scholar]
  51. Zidan, A., Y.Li, and A.Cheng. 2022. “Generalization of Bayesian Inversion With Application to PP Reflection in a Vertical Transverse Isotropy Medium: Geophysical Prospecting.” Geophysical Prospecting70, no. 9: 1487–1506. https://doi.org/10.1111/1365‐2478.13235.
    [Google Scholar]
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