Applied Geophysics

, Volume 16, Issue 2, pp 233–242 | Cite as

Stepwise inversion method for determining anisotropy parameters in a horizontal transversely isotropic formation

  • Yun-Hong Song
  • Hao ChenEmail author
  • Xiu-Ming Wang
Borehole Geophysics


The anisotropy of a geologic formation can reflect the direction of fractures and ground stress, which is an important metric that guides the exploration and development of oil and gas reservoirs. Cross-dipole acoustic logging is the main method used to detect anisotropy with borehole geophysics. In this paper, a stepwise inversion method for three anisotropy parameters in a horizontal transversely isotropic (HTI) formation is proposed, which turns one 3D operation of simultaneous inversion into three 1D operations. The scheme’s stability and reliability were tested by numerically simulated data using a finite-difference method, and by field logging data. The inversion results of the simulated data show that the stepwise inversion method can stably obtain the fast shear azimuth and the anisotropy parameters in both fast and slow formations with strong and weak anisotropy, and it performed well even with noisy data. In particular, the results of the fast shear azimuth inversion were very stable and reliable. The inversion results of field logging data were consistent with those given by existing commercial software, which used simultaneous inversion, for both fast and slow formations. Where large difference was observed between our stepwise method and the commercial software, our analysis suggests that the fast shear azimuth of our inversion was more reasonable, which reinforces its superior performance and practicality.


cross-dipole anisotropy stepwise inversion 


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The authors would like to thank the editor and reviewers for their valuable comments and suggestions that significantly improved the manuscript.


  1. Alford, R. M., 1986, Shear data in the presence of azimuthal anisotropy: 56th Annual International Meeting, SEG, Expanded Abstracts, 476–479.Google Scholar
  2. Gavin, L. J., and Lumley, D., 2016, Stress-induced seismic azimuthal anisotropy in the upper crust across the NorthWest Shelf, Australia: Journal of Geophysical Research: Solid Earth, 121(2), 1023–1039.Google Scholar
  3. Guo, Z. Q., Liu, C., Liu, X. W., et al., 2016, Research on anisotropy of shale oil reservoir based on rock physics model: Applied Geophysics, 13(2), 382–392.Google Scholar
  4. He, X., 2010, Simulations of acoustic logs in transversely isotropic formations and researches on permeability inversion: PhD Thesis, Harbin Institute of Technology, Harbin.Google Scholar
  5. He, Y. Y., Hu, T. Y., He, C., et al., 2016, P-wave attenuation anisotropy in TI media and its application in fracture parameters inversion: Applied Geophysics, 13(4), 649–657.Google Scholar
  6. Hsu, C. J., Kane, M. R., Winkler, K., et al., 2011, Experiments on stress dependent borehole acoustic waves: Journal of the Acoustic Society of America, 130(4), 1799–1809.Google Scholar
  7. Lei, T., and Sinha, B. K., 2012, Hydraulic fracture induced changes in borehole modal dispersions: Proceedings of the IEEE International Ultrasonics Symposium.Google Scholar
  8. Li, J. X., Innanen, K. A., Tao, G., et al., 2017, Wavefield simulation of 3D borehole dipole radiation: Geophysics, 82(3), D155-D169.Google Scholar
  9. Parra, J. O., Xu, P. C., and Domaschk, D., 2009, Dispersion analysis and inversion of azimuthal shear anisotropy from cross-dipole data: SPWLA 50th Annual Logging Symposium, SPWLA, the Woodlands, Texas.Google Scholar
  10. Song, L. T., Liu, Z. H., Zhou, C. C., et al., 2017, Analysis of elastic anisotropy of tight sandstone and the influential factors: Applied Geophysics, 14(1), 10–20.Google Scholar
  11. Tang, X. M., and Chunduru, R. K., 1999, Simultaneous inversion of formation shear-wave anisotropy parameters from cross-dipole acoustic-array waveform data: Geophysics, 64(5), 1502–1511.Google Scholar
  12. Tang, X. M., and Cheng, C. A., 2004, Quantitative borehole acoustic methods: San Diego: Elsevier Science Publishing Co. Inc, 108–116.Google Scholar
  13. Tang, X. M., and Patterson, D. J., 2009, Single-well S-wave imaging using multicomponent dipole acoustic-log data: Geophysics, 74(6), WCA211–WCA223.Google Scholar
  14. Tang, X. M., Cao, J. J., and Wei, Z. T., 2014, Shear-wave radiation, reception, and reciprocity of a borehole dipole source: with application to modeling of shear-wave reflection survey: Geophysics, 79(2), T43–T50.Google Scholar
  15. Tao, G., and Cheng, C. H., 1999, Measurements of shear-wave azimuthal anisotropy with cross-dipole logs: Chinese J. Geophys, (in Chinese), 42(2): 277–286.Google Scholar
  16. Wang, L. L., Wei, J. X., Huang, P., et al., 2018, Seismic prediction method of multiscale fractured reservoir: Applied Geophysics, 15(2), 240–252.Google Scholar
  17. Wang, R. J., Qiao, W. X., Ju, X. D., et al., 2013, Experimental study of the acoustic field in the borehole surrounded by HTI formation excited by dipole sources with different orientations: Chinese J. Geophys, (in Chinese), 56(2), 707–717.Google Scholar
  18. Wang, T., and Tang, X. M., 2003, Finite-difference modeling of elastic wave propagation: A nonsplitting perfectly matched layer approach: Geophysics, 68(5), 1749–1755.Google Scholar
  19. Zeng, F. Q., Yue, W. Z., and Li, C., 2018, Simultaneous anisotropy inversion and type identification in the frequency domain for flexural waves in horizontal transverse isotropic media: Geophysics, 83(6), C221-C237.Google Scholar
  20. Zhang, C. G., 2009, The principle and application of acoustic logging: Petroleum Industry Press (in Chinese), 114–118.Google Scholar
  21. Zhang, H. L., Wang, X. M., and Zhang, B. X., 2004, Acoustic field and wave in borehole: Science Press, Beijing, 90–92.Google Scholar

Copyright information

© The Editorial Department of APPLIED GEOPHYSICS 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Acoustics, Institute of AcousticsChinese Academy of SciencesBeijingChina
  2. 2.University of Chinese Academy of SciencesBeijingChina
  3. 3.Beijing Engineering Research Center of Sea Deep Drilling and Exploration, Institute of AcousticsChinese Academy of SciencesBeijingChina

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