1887
Volume 51, Issue 3
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

ABSTRACT

Because a vertical seismic profile (VSP) survey includes the installation of geophones into a borehole, the results of data processing are influenced by the deviation error of the borehole trajectory. In particular, when full waveform inversion (FWI) is applied to VSP data, receiver location errors distort the results of velocity inversion. Under this circumstance, we attempt to estimate the exact locations of receivers and resolve the distortion of the inverted velocity model by adding receiver locations to the inversion parameters. This makes the FWI process a multi-parametric inverse problem. In this case, it is desirable to invert each parameter group alternatively. Because receiver coordinates depend on borehole trajectory, the inverse problem is regularised by adding a term measuring the curvature of the borehole trajectory gradient to obtain a physically meaningful solution. In addition, we propose a grid search method to improve the estimation of receiver coordinates. In the case of VSP data, the inversion of receiver coordinates using the grid search method is more efficient and robust than using a local descent method. Through numerical examples, we verify that the proposed inversion algorithm can improve FWI results and mitigate velocity distortion. We also demonstrate that the convergence of FWI can be improved by applying the grid search method to the estimation of receiver coordinates.

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2020-05-03
2026-01-24
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References

  1. Buchanan, A., C.A. Finn, J.J. Love, E.W. Worthington, F. Lawson, S. Maus, S. Okewunmi, and B. Poedjono 2013 Geomagnetic referencing – the real-time compass for directional drillers. Oilfield Review25, no. 3: 32–47.
    [Google Scholar]
  2. Dai, T., C. Gómez-Laberge, and A. Adler 2008 Reconstruction of conductivity changes and electrode movements based on EIT temporal sequences. Physiological Measurement29, no. 6: S77–88. doi: 10.1088/0967‑3334/29/6/S07
    https://doi.org/10.1088/0967-3334/29/6/S07 [Google Scholar]
  3. Egorov, A., R. Pevzner, A. Bona, B. Gurevich, S.M. Glubokovskikh, K.V. Tertyshnikov, and V. Puzyrev 2017 Full waveform inversion of time-lapse offset VSP data-CO2CRC Otway project case study. 79th EAGE Conference and Exhibition 2017, Expanded Abstract, We P4 12.
    [Google Scholar]
  4. Gómez-Laberge, C., and A. Adler 2007 Direct calculation of the electrode movement Jacobian for 3D EIT.13th International Conference on Electrical Bioimpedance and the 8th Conference on Electrical Impedance Tomography, Expanded Abstract, 364–7.
    [Google Scholar]
  5. Grosso, A., P.D. Reis, and M.A.B. Santos 2015 Improving seismic resolution using P and PS imaging from a deviated well VSP – a pre-salt case study. SEG Technical Program Expanded Abstracts, 5575–9.
    [Google Scholar]
  6. Hornby, B.E., J.A. Sharp, J. Farrelly, S. Hall, and H. Sugianto 2007 3D VSP in the deep water Gulf of Mexico fills in subsalt “shadow zone”. First Break25, no. 6: 83–8.
    [Google Scholar]
  7. House, N., B. Fuller, J. Shemeta, and M. Sterling 2004 Integration of surface seismic, 3D VSP, and microseismic hydraulic fracture mapping to improve gas production in a tight complex reservoir. SEG Technical Program Expanded Abstracts, 414–16.
    [Google Scholar]
  8. Jamieson, A.L. 2005 Understanding borehole surveying accuracy. SEG Technical Program, Expanded Abstracts, 2339–40.
    [Google Scholar]
  9. Karlsson, F. 1997 What makes holes deviate? GeoDrilling, May, 1–2.
  10. Kim, J.H., R. Supper, P. Tsourlos, and M.J. Yi 2013 Four-dimensional inversion of resistivity monitoring data through Lp norm minimizations. Geophysical Journal International195: 1640–56. doi: 10.1093/gji/ggt324
    https://doi.org/10.1093/gji/ggt324 [Google Scholar]
  11. Kim, J.H., M.J. Yi, R. Supper, and D. Ottowitz 2015 Simultaneous inversion of resistivity structure and electrode locations in ERT. 28th Annual Symposium on the Application of Geophysics to Engineering and Environmental Problems 2015, Expanded Abstract.
    [Google Scholar]
  12. Oldenborger, G.A., P.S. Routh, and M.D. Knoll 2005 Sensitivity of electrical resistivity tomography data to electrode position errors. Geophysical Journal International163: 1–9. doi: 10.1111/j.1365‑246X.2005.02714.x
    https://doi.org/10.1111/j.1365-246X.2005.02714.x [Google Scholar]
  13. Park, Y., and S. Pyun 2018 Refraction travel time tomography based on damped wave equation for irregular topographic model. Journal of Applied Geophysics150: 160–71. doi: 10.1016/j.jappgeo.2018.01.025
    https://doi.org/10.1016/j.jappgeo.2018.01.025 [Google Scholar]
  14. Ray, A., B. Hornby, and J.-P. van Gestel 2003 Largest 3D VSP in the deep water of the Gulf of Mexico to provide improved imaging in the Thunder Horse South field. SEG Technical Program, Expanded Abstracts, 422–5.
    [Google Scholar]
  15. Reitz, A., and K. Hartman 2017 Demonstrating the value of subsalt 3D VSPs. A case study at Thunder Horse North, Gulf of Mexico: SEG Technical Program, Expanded Abstract, 2210–14.
    [Google Scholar]
  16. Shin, C., S. Jang, and D.-J. Min 2001 Improved amplitude preservation for prestack depth migration by inverse scattering theory. Geophysical Prospecting49: 592–606. doi: 10.1046/j.1365‑2478.2001.00279.x
    https://doi.org/10.1046/j.1365-2478.2001.00279.x [Google Scholar]
  17. Soleimani, M., C. Gómez-Laberge, and A. Adler 2006 Imaging of conductivity changes and electrode movement in EIT. Physiological Measurement27 no. 5: S103–13. doi: 10.1088/0967‑3334/27/5/S09
    https://doi.org/10.1088/0967-3334/27/5/S09 [Google Scholar]
  18. Versteeg, R. 1994 The Marmousi experience: Velocity model determination on a synthetic complex data set. The Leading Edge13: 927–36. doi: 10.1190/1.1437051
    https://doi.org/10.1190/1.1437051 [Google Scholar]
  19. Yi, M.J., J.H. Kim, and J.S. Son 2009 Borehole deviation effect in electrical resistivity tomography. Geosciences Journal13: 87–102. doi: 10.1007/s12303‑009‑0008‑2
    https://doi.org/10.1007/s12303-009-0008-2 [Google Scholar]
  20. Yuan, J., and J. Yu 2017 A numerical experiment on full waveform inversion of seismic velocity structure under a rugged seafloor by using joint OBN and VSP data. SEG 2017 Workshop: OBN, OBC Technologies and Applications, Expanded Abstract.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): full waveform; inversion; numerical; VSP; wave equation

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